Why do the first 4 hexagrams of the Kan Palace share Gua Qi 7, while the last 4 change their Gua Qi number?

Because in Xuan Kong Da Gua, a hexagram's spatial Gua Qi number (1–9) is governed 100% by its Upper (Outer) Trigram. In the Jing Fang transformation sequence, the Pure Root, 1st Generation, 2nd Generation, and 3rd Generation only flip lines in the Lower (Inner) Trigram, preserving Kan ☵ on top (Gua Qi 7). In the 4th Generation, 5th Generation, Wandering Soul, and Returning Soul, the line changes move into the Upper Trigram, shifting their spatial Gua Qi while retaining their Kan Palace ancestral soul.

Which hexagrams in the Kan Group (Water ☵ · Khảm Cung) are strongest for Period 9 (2024–2043)?

For Sitting Mountain, high terrain, and executive backing (Direct Spirit / Chinh Than), the crown jewel is #63 Thủy Hỏa Ký Tế (水火既濟 ䷾), the 3rd-Generation Parent Hexagram carrying Star Period 9 at Dần – Giáp (67.500°–73.125°). For Main Gate, Water Mouth, and driveway intake (Indirect Spirit / Linh Than), the prime choice is #29 Khảm Vi Thủy (坎為水 ䷜), the Pure Root Hexagram carrying Star Period 1 (forming 1+9=10 Sum-of-Ten with Period 9) at Cấn – Dần (50.625°–56.250°).

How do Sum of Ten (He Shi) and Difference of Five (He Sheng Cheng) work for the Kan Group (Water ☵ · Khảm Cung)?

All 8 Upper-Kan compass hexagrams carry Gua Qi 7. They achieve Husband-Wife Sum-of-Ten (He Shi) when paired with Li Group ☲ (Gua Qi 3 Wood · 7 + 3 = 10), and achieve He Tu Generative Difference-of-Five (He Sheng Cheng) when paired with Xun Group ☴ (Gua Qi 2 Fire · 7 – 2 = 5).

☵ XUAN KONG DA GUA · 8 TRIGRAM PALACES Gua Qi 7 · Yang Fire (He Tu 2–7 Same-Path Fire) • Early Heaven 6 / Later Heaven 1

Kan Group (Water ☵ · Khảm Cung) in Xuan Kong Da Gua (坎宮八卦): 8 Palace Hexagrams, 384-Yao Degrees & Period 9 Mastery

Q: Which 8 hexagrams belong to the Kan Group (Water ☵ · Khảm Cung) in Xuan Kong Da Gua?

In the Jing Fang 8-Palace lineage, the Kan Group (Water ☵ · Khảm Cung) comprises #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #49 Trạch Hỏa Cách (䷰), #55 Lôi Hỏa Phong (䷶), #36 Địa Hỏa Minh Di (䷣), #7 Địa Thủy Sư (䷆). On the San Yuan 360-degree Upper-Trigram Gua Qi compass ring, the 8 hexagrams sharing Upper Trigram Kan ☵ (all carrying Gua Qi 7 — Yang Fire (He Tu 2–7 Same-Path Fire)) are #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), #8 Thủy Địa Tỷ (䷇).

One true Yang line gleams inside the dark abyss between two Yin banks, carrying the primordial wisdom of Heaven One Water. In Xuan Kong Da Gua (玄空大卦), the Kan Palace Group (坎宮八卦 — Nhóm Quái Khảm ☵) is the indispensable partner of Period 9 (2024–2043)! Why? Because while Later Heaven Li 9 rules the Direct Spirit Mountain, Later Heaven Kan 1 rules the Sum-of-Ten Indirect Spirit Water (1 + 9 = 10 — Linh Thần Hợp Thập)! Even more remarkably, on the San Yuan outer trigram ring, Kan holds Early Heaven Number 6 in the West and carries Gua Qi Number 7 (He Tu 2–7 Yang Fire)—mating in 7 + 3 = 10 Sum-of-Ten with the Li Group (Gua Qi 3)!

Master Ung Khiem (Thầy Ưng Khiêm)

Classical Feng Shui & East Asian Metaphysics Master · UK MASTER ACADEMY

Published June 24, 2026 · Updated October 15, 2026
7,800-word Scholarly Monograph · 28 min read
🇻🇳 Bản tiếng Việt

Kan Group (Water ☵ · Khảm Cung) in Xuan Kong Da Gua Feng Shui

Core Trigram Palace Dossier: Kan Group ☵ Water

Palace Family:

Kan Group (Water ☵ · Khảm Cung) (坎宮八卦 · Middle Son (Trung Nam 中男))

Cosmic Image:

☵ Abysmal Water / Deep River (Shuǐ 水) — Trigram Element: Deep Yang Water (Dương Thủy 陽水) · Period 9 Ling Shen He Shi!

Early & Later Bagua:

Early Heaven #6 (Due West (Early Heaven Right Lunar Axis)) · Later Heaven #1 (Due North (Nhâm – Tý – Quý · 337.5°–22.5°))

Da Gua Outer Qi:

Gua Qi 7 — Yang Fire (He Tu 2–7 Same-Path Fire)

Jing Fang 8 Gua:

#29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #49 Trạch Hỏa Cách (䷰), #55 Lôi Hỏa Phong (䷶), #36 Địa Hỏa Minh Di (䷣), #7 Địa Thủy Sư (䷆)

Upper-Kan Ring:

#29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), #8 Thủy Địa Tỷ (䷇)

Period 9 Crown Pair:

Direct Spirit: #63 Thủy Hỏa Ký Tế ䷾ (Period 9) · Indirect Spirit: #29 Khảm Vi Thủy ䷜ (Period 1)

✦ Classical Key: Never design a Period 9 property without the Kan Group! Look at its Triple Sum-of-Ten lock with Li ☲: (1) Later Heaven Kan 1 + Li 9 = 10; (2) Upper-Kan Gua Qi 7 + Upper-Li Gua Qi 3 = 10; and (3) #29 Kan Wei Shui (䷜, Star Period 1) + Period 9 = 10, while #63 Water Fire Ji Ji (䷾, Gua Qi 7, Star Period 9) is the supreme Yin-Yang balanced Direct Spirit!

Executive Summary for Practitioners & AI Search (GEO Summary)

Dual Classification Mastery: In Xuan Kong Da Gua (玄空大卦), the Kan Group (Water ☵ · Khảm Cung) is analyzed across two interlocking axes: (1) the Jing Fang 8-Palace Lineage (Bát Cung Kinh Phòng) comprising #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #49 Trạch Hỏa Cách (䷰), #55 Lôi Hỏa Phong (䷶), #36 Địa Hỏa Minh Di (䷣), #7 Địa Thủy Sư (䷆), and (2) the San Yuan Upper-Trigram Compass Ring comprising all 8 hexagrams with Kan ☵ as their Upper (Outer) Trigram (#29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), #8 Thủy Địa Tỷ (䷇)), which universally carry Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)).
Why the First 4 Hexagrams Overlap Both Systems: In Jing Fang's 8-step line transformation, Steps 0, 1, 2, and 3 (#29 Khảm Vi Thủy, #60 Thủy Trạch Tiết, #3 Thủy Lôi Truân, and #63 Thủy Hỏa Ký Tế) transform only the Lower (Inner) Trigram while keeping Kan ☵ intact on top. Thus they hold Gua Qi 7 on the Luo Pan and belong to both lists simultaneously.
Supreme Resonance Partners: Every Upper-Kan hexagram (Gua Qi 7) locks into Sum of Ten (He Shi 合十) with the Li Group ☲ (Gua Qi 3 Wood · 7 + 3 = 10) and locks into He Tu Generative Difference of Five (He Sheng Cheng 合生成) with the Xun Group ☴ (Gua Qi 2 Fire · 7 – 2 = 5).
Period 9 (2024–2043) Mountain & Water Formula: Anchor the Sitting Mountain, CEO Office, or Master Bed on the 3rd-Generation Parent Hexagram #63 Thủy Hỏa Ký Tế (水火既濟 ䷾) at Dần – Giáp (67.500°–73.125°) (carrying Timely Star Period 9 Direct Spirit), and open the Main Gate, Driveway, or Water Mouth on the Pure Root Hexagram #29 Khảm Vi Thủy (坎為水 ䷜) at Cấn – Dần (50.625°–56.250°) (carrying Star Period 1 to complete 1 + 9 = 10 Indirect Spirit wealth intake).
Sub-Degree 384-Yao Precision: Each hexagram spans 360° ÷ 64 = 5.625°, subdivided into 6 individual lines (yao) of 0.9375° each. Always align structural centerlines onto the Red Jewel Lines (Hồng Tâm Cát Hào)—most notably Yao 2 and Yao 5—while maintaining at least 0.75° clearance from inter-hexagram Void Lines (Không Vong).

1. Cosmological Identity, Early/Later Heaven Numerology & Classical Canon of the Kan Group (Water ☵ · Khảm Cung)

Why do two houses sitting side by side on the exact same street—built in the same year and facing the same general compass octant—experience radically opposite destinies? One household rises into ministerial rank and generational liquidity. Its neighbor suffers relentless litigation, insolvent cash flow, and chronic illness. Standard 15°-mountain compasses cannot explain this divergence. Only Xuan Kong Da Gua (玄空大卦)—which slices the 360° horizon into 64 Early Heaven Hexagrams (5.625° per hexagram) and 384 individual yao lines (0.9375° per line)—exposes the sub-degree truth.

At the heart of this 64-hexagram cosmos stands the Kan Group (Water ☵ · Khảm Cung) (坎宮八卦). To master its eight constituent hexagrams on a San Yuan Luo Pan, a practitioner must first internalize the three distinct numerical identities that Trigram Kan (坎 ☵) carries across the Theoretical Foundations of Chinese metaphysics:

1. Fu Xi Early Heaven Bagua Identity (Tiên Thiên Bát Quái — Primordial Cosmic Form): In Fu Xi's Early Heaven sequence, Kan ☵ holds Early Heaven Number 6 and resides at Due West (Early Heaven Right Lunar Axis), embodying Abysmal Water / Deep River (Shuǐ 水) and the archetypal family role of Middle Son (Trung Nam 中男).
2. King Wen Later Heaven Bagua Identity (Hậu Thiên Bát Quái — Mundane Spatial Sector): When the trigrams descend into terrestrial manifestation under King Wen's Later Heaven arrangement, Kan ☵ moves to Due North (Nhâm – Tý – Quý · 337.5°–22.5°) and governs Later Heaven Luo Shu Number 1, radiating the trigram Five Phase of Deep Yang Water (Dương Thủy 陽水) · Period 9 Ling Shen He Shi!.
3. San Yuan Xuan Kong Da Gua Outer Qi Identity ( Tiên Hậu Thiên Hợp Lạc Quái Khí): When Fu Xi's Early Heaven Bagua is superimposed directly onto the Nine Palaces of the Luo Shu Magic Square (“Nine at the head, One at the foot; Three on the left, Seven on the right; Two and Four at the shoulders; Six and Eight at the feet”), the Early Heaven position of Kan ☵ lands on Luo Shu Number 7! Converted through the He Tu Creation Formula (1–6 Water, 2–7 Fire, 3–8 Wood, 4–9 Metal), every hexagram with Kan ☵ as its Upper (Outer) Trigram carries Gua Qi 7 — Yang Fire (He Tu 2–7 Same-Path Fire).

「九運離火作正神，坎水一白是零神；水火既濟合十道，催財大發富貴真。」 Jiǔ yùn Lí huǒ zuò zhèng shén, Kǎn shuǐ yī bái shì líng shén; Shuǐ Huǒ Jì Jì hé shí dào, cuī cái dà fā fù guì zhēn.
In Period Nine, Li Fire serves as the Direct Spirit while Kan One White Water is the Indirect Spirit; when Water Fire Ji Ji unites on the Sum-of-Ten path, wealth accelerates and true nobility flourishes.
— San Yuan Xuan Kong Da Gua Classical Maxim («Qing Nang Ao Yu Secret Commentary»)

Read that classical verse again. Grandmaster Yang Yun Song and Grandmaster Jiang Da Hong never spoke of vague 45° sectors when they promised scholarly nobility and enduring dynastic wealth. They spoke of locking the Incoming Dragon, Sitting Mountain, Facing Direction, and Water Mouth into the pure hexagram veins of the Kan Group (Water ☵ · Khảm Cung) and its resonant partners! Let us also recall the foundational canon of the Book of Changes (I Ching 周易) regarding the virtue of this palace:

「既濟，亨，小利貞。初吉終亂，剛柔正而位當也。」 Jì Jì, hēng, xiǎo lì zhēn. Chū jí zhōng luàn, gāng róu zhèng ér wèi dāng yě.
Ji Ji (After Completion) brings pervasive success. Every firm Yang line and yielding Yin line stands upright in its exact proper place.
— «Book of Changes · Commentary on the Judgments of Ji Ji» (周易·既濟·彖傳)

Numbers govern form. Form channels Qi. When you step onto a site with your Luo Pan, understanding how Early Heaven 6, Later Heaven 1, and Da Gua Outer Qi 7 interlock within the Kan Group (Water ☵ · Khảm Cung) separates authentic lineage mastery from textbook guesswork.

2. Dual Classification Mechanics: Jing Fang 8-Palace Lineage vs. San Yuan Upper-Trigram Gua Qi 7 Ring

Stop right here. This is the exact junction where 90% of self-taught students get confused when cross-referencing classical I Ching manuals with a San Yuan Xuan Kong Da Gua compass! Why do some texts list the 8 hexagrams of the Kan Group (Water ☵ · Khảm Cung) as #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #49 Trạch Hỏa Cách (䷰), #55 Lôi Hỏa Phong (䷶), #36 Địa Hỏa Minh Di (䷣), #7 Địa Thủy Sư (䷆), whereas the outer Gua Qi table of a San Yuan Luo Pan lists the 8 hexagrams of Gua Qi 7 (Kan ☵) as #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), #8 Thủy Địa Tỷ (䷇)? Both lists are 100% authentic. They simply represent the two orthogonal axes of The System of 64 Hexagrams:

AXIS 1 · ANCESTRAL SOUL

Jing Fang's Eight-Palace Transformation (Bát Cung Kinh Phòng 京房八宮)

Formulated by Western Han dynasty master Jing Fang (京房, 77–37 BCE) in the Jing Shi Yi Zhuan. Starting from the doubled pure hexagram #29 Khảm Vi Thủy (䷜), lines transform sequentially from bottom to top: 1st Yao (1st Gen), 2nd Yao (2nd Gen), 3rd Yao (3rd Gen), 4th Yao (4th Gen), 5th Yao (5th Gen), back to 4th Yao (Wandering Soul / Du Hồn), and finally restoring the lower 3 lines to the root trigram (Returning Soul / Quy Hồn). The 6th (top) line never changes because it guards the ancestral宗廟 temple.

AXIS 2 · COMPASS GUA QI

San Yuan Upper-Trigram Gua Qi Ring (Ngoại Quái Quái Khí 卦氣環)

On the 360° San Yuan Luo Pan, spatial Gua Qi (1–9) is determined exclusively by the Upper (Outer) Trigram, while temporal Gua Yun / Star Period (1–9) is determined by comparing which lines differ between the Upper and Lower Trigrams. Therefore, all 8 hexagrams that share Kan ☵ as their Upper Trigram share Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)) and span all 8 Star Periods (1, 2, 3, 4, 6, 7, 8, 9).

Look at the mathematical bridge between Axis 1 and Axis 2. In Jing Fang's 8-step transformation of the Kan Group (Water ☵ · Khảm Cung):

Steps 0, 1, 2, and 3 (Pure Root #29, 1st Gen #60, 2nd Gen #3, and 3rd Gen #63): Because only the Lower (Inner) Trigram lines change during the first three generations, their Upper (Outer) Trigram remains Kan ☵! Consequently, these first four hexagrams carry Gua Qi 7 and belong to both the Jing Fang Kan Palace and the Upper-Kan Compass Ring! Specifically, Step 0 (#29 Khảm Vi Thủy) is the Period 1 Upper-Cycle Parent, Step 1 (#60 Thủy Trạch Tiết) is the Period 2 Jiangdong Hexagram, Step 2 (#3 Thủy Lôi Truân) is the Period 6 North-South Opposite Hexagram, and Step 3 (#63 Thủy Hỏa Ký Tế) is the Period 9 Lower-Cycle Parent!
Steps 4, 5, 6, and 7 (4th Gen #49, 5th Gen #55, Wandering Soul #36, and Returning Soul #7): Once the Jing Fang transformation climbs into the 4th and 5th lines, the Upper Trigram changes from Kan ☵ into four other trigrams! On the Luo Pan, these four hexagrams adopt the Gua Qi number of their new Upper Trigram—while carrying Star Periods 8 (4th Gen), 4 (5th Gen), 7 (Wandering Soul), and 3 (Returning Soul).
The 4 Cross-Palace Complements (#5, #48, #39, and #8): Conversely, four hexagrams born as the 4th Gen, 5th Gen, Wandering Soul, and Returning Soul of other Jing Fang palaces acquire Kan ☵ as their Upper Trigram—supplying Star Periods 4, 3, 8, and 7 inside the Gua Qi 7 compass family!

Figure 1: The 8 Jing Fang Palace Hexagrams (Bát Cung Kinh Phòng) of the Kan Group (Water ☵ · Khảm Cung) showing line-transformation steps, Gua Qi numbers, Star Periods, and 24-Mountain arcs.

By mastering both sets—all 8 Jing Fang Palace hexagrams and their 4 Upper-Kan Compass Ring complements (12 hexagrams in total, with 4 shared at the core)—you command the entire theoretical and practical spectrum of the Kan Group (Water ☵ · Khảm Cung).

3. Master Reference Matrix: Complete 8 Jing Fang Palace Hexagrams & 8 Upper-Kan Compass Hexagrams

Before examining each hexagram line by line, consult the two master reference tables below. Table 1 synthesizes the 8 Jing Fang Palace Hexagrams of the Kan Group (Water ☵ · Khảm Cung), while Table 2 synthesizes the 8 San Yuan Upper-Kan Compass Ring Hexagrams that share Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)).

Table 1: The 8 Jing Fang Palace Hexagrams (Bát Cung Kinh Phòng) of the Kan Group (Water ☵ · Khảm Cung)
King Wen # & Hexagram	Jing Fang Step	Upper / Lower	Da Gua Qi & Element	Gua Yun (Star Period)	360° Compass Arc & Red Yao	Period 9 (2024–2043) Role
#29 Khảm Vi Thủy Kan (The Abysmal Water) · 坎為水 ䷜	0. Pure Root (Bát Thuần)	Kan ☵ / Kan ☵	Gua Qi 7 Yang Fire (2-7 Fire)	Period 1 Greedy Wolf (Tan Lang)	Cấn – Dần (50.625°–56.250°) Red: Yao 2 (51.563°–52.500°), Yao 5 (54.375°–55.313°)	★ CROWN INDIRECT SPIRIT OF PERIOD 9 (Later Heaven 1 + Period 9 = 10; Star Period 1 + 9 = 10; Gua Qi 7 + Li 3 = 10!)
#60 Thủy Trạch Tiết Jie (Limitation / Moderation) · 水澤節 ䷻	1. 1st Gen (Nhất Thế)	Kan ☵ / Dui ☱	Gua Qi 7 Yang Fire (2-7 Fire)	Period 2 Giant Gate (Ju Men)	Giáp (73.125°–78.750°) Red: Yao 4 (75.938°–76.875°), Yao 5 (76.875°–77.813°)	Upper Cycle Indirect Spirit (Internal He Tu 7-2 Same-Path Fire!)
#03 Thủy Lôi Truân Zhun (Difficulty at the Beginning / Sprouting) · 水雷屯 ䷂	2. 2nd Gen (Nhị Thế)	Kan ☵ / Zhen ☳	Gua Qi 7 Yang Fire (2-7 Fire)	Period 6 Military Arts (Wu Qu)	Dần (61.875°–67.500°) Red: Yao 1 (61.875°–62.813°), Yao 4 (64.688°–65.625°), Yao 5 (65.625°–66.563°)	Lower Cycle Direct Spirit Group (Gua Qi 7 Fire · Period 6)
#63 Thủy Hỏa Ký Tế Ji Ji (After Completion) · 水火既濟 ䷾	3. 3rd Gen (Tam Thế)	Kan ☵ / Li ☲	Gua Qi 7 Yang Fire (2-7 Fire)	Period 9 Right Assistant (You Bi)	Dần – Giáp (67.500°–73.125°) Red: Yao 1 (67.500°–68.438°), Yao 2 (68.438°–69.375°), Yao 5 (71.250°–72.188°)	★ PERFECT YIN-YANG COMPLETION & TIMELY PERIOD 9 PARENT DIRECT SPIRIT (Period 9 + Gua Qi 7)
#49 Trạch Hỏa Cách Ge (Revolution / Molting) · 澤火革 ䷰	4. 4th Gen (Tứ Thế)	Dui ☱ / Li ☲	Gua Qi 4 Yin Metal (4-9 Metal)	Period 8 Left Assistant (Zuo Fu)	Tân – Tuất (288.750°–294.375°) Red: Yao 4 (291.563°–292.500°), Yao 5 (292.500°–293.438°)	Upper-Dui Gua Qi 4 Metal · Lower Cycle Period 8 Direct Spirit Group
#55 Lôi Hỏa Phong Feng (Abundance / Fullness) · 雷火豐 ䷶	5. 5th Gen (Ngũ Thế)	Zhen ☳ / Li ☲	Gua Qi 8 Yin Wood (3-8 Wood)	Period 4 Literary Arts (Wen Qu)	Thìn – Tỵ (146.250°–151.875°) Red: Yao 2 (147.188°–148.125°), Yao 4 (149.063°–150.000°), Yao 5 (150.000°–150.938°)	Upper-Zhen Gua Qi 8 Wood · Period 4 Indirect Spirit (5th Gen of Kan)
#36 Địa Hỏa Minh Di Ming Yi (Darkening of the Light) · 地火明夷 ䷣	6. Wandering Soul (Du Hồn)	Kun ☷ / Li ☲	Gua Qi 1 Yang Water (1-6 Water)	Period 7 Broken Army (Po Jun)	Nhâm – Tý (348.750°–354.375°) Red: Yao 2 (349.688°–350.625°), Yao 5 (352.500°–353.438°)	Lower Cycle Direct Spirit Group · Gua Qi 1 Sum-of-Ten with Qian 9 (1+9=10)
#07 Địa Thủy Sư Shi (The Army / Multitude) · 地水師 ䷆	7. Returning Soul (Quy Hồn)	Kun ☷ / Kan ☵	Gua Qi 1 Yang Water (1-6 Water)	Period 3 Rank / Lu Cun	Càn – Hợi (322.500°–326.250°) Red: Yao 2 (323.438°–324.375°), Yao 5 (325.000°–325.625°), Yao 6 (325.625°–326.250°)	Upper Cycle Indirect Spirit (Returning Soul of Kan · Gua Qi 1 Water · Period 3)

Table 2: The 8 San Yuan Compass Ring Hexagrams Sharing Upper Trigram Kan ☵ (All Carrying Gua Qi 7 — Yang Fire (He Tu 2–7 Same-Path Fire))
King Wen # & Hexagram	Upper / Lower	Outer Gua Qi	Star Period (Gua Yun)	Jing Fang Overlap	360° Fu Xi Compass Arc	Sum-of-Ten (He Shi) Targets
#29 Khảm Vi Thủy (坎為水 ䷜)	Kan ☵ / Kan ☵	Gua Qi 7 (Yang Fire)	Period 1 (Greedy Wolf (Tan Lang))	Yes (Steps 0–3)	Cấn – Dần (50.625°–56.250°)	Gua Qi 3 (He Shi) · Period 9 (He Shi)
#60 Thủy Trạch Tiết (水澤節 ䷻)	Kan ☵ / Dui ☱	Gua Qi 7 (Yang Fire)	Period 2 (Giant Gate (Ju Men))	Yes (Steps 0–3)	Giáp (73.125°–78.750°)	Gua Qi 3 (He Shi) · Period 8 (He Shi)
#03 Thủy Lôi Truân (水雷屯 ䷂)	Kan ☵ / Zhen ☳	Gua Qi 7 (Yang Fire)	Period 6 (Military Arts (Wu Qu))	Yes (Steps 0–3)	Dần (61.875°–67.500°)	Gua Qi 3 (He Shi) · Period 4 (He Shi)
#63 Thủy Hỏa Ký Tế (水火既濟 ䷾)	Kan ☵ / Li ☲	Gua Qi 7 (Yang Fire)	Period 9 (Right Assistant (You Bi))	Yes (Steps 0–3)	Dần – Giáp (67.500°–73.125°)	Gua Qi 3 (He Shi) · Period 1 (He Shi)
#05 Thủy Thiên Nhu (水天需 ䷄)	Kan ☵ / Qian ☰	Gua Qi 7 (Yang Fire)	Period 7 (Broken Army (Po Jun))	Cross-Palace (Steps 4–7)	Giáp – Mão (78.750°–84.375°)	Gua Qi 3 (He Shi) · Period 3 (He Shi)
#48 Thủy Phong Tỉnh (水風井 ䷯)	Kan ☵ / Xun ☴	Gua Qi 7 (Yang Fire)	Period 4 (Literary Arts (Wen Qu))	Cross-Palace (Steps 4–7)	Giáp – Mão (84.375°–90.000°)	Gua Qi 3 (He Shi) · Period 6 (He Shi)
#39 Thủy Sơn Kiển (水山蹇 ䷦)	Kan ☵ / Gen ☶	Gua Qi 7 (Yang Fire)	Period 8 (Left Assistant (Zuo Fu))	Cross-Palace (Steps 4–7)	Dần (56.250°–61.875°)	Gua Qi 3 (He Shi) · Period 2 (He Shi)
#08 Thủy Địa Tỷ (水地比 ䷇)	Kan ☵ / Kun ☷	Gua Qi 7 (Yang Fire)	Period 3 (Rank / Lu Cun)	Cross-Palace (Steps 4–7)	Cấn (45.000°–50.625°)	Gua Qi 3 (He Shi) · Period 7 (He Shi)

Figure 2: Comparison of the 8 Upper-Kan Compass Ring Hexagrams (all carrying Gua Qi 7) and their overlap with the Jing Fang Kan Palace.

Notice the mathematical elegance in Table 2: within the 8 hexagrams sharing Upper Trigram Kan ☵, every single Star Period from 1 to 9 (excluding the central 5) appears exactly once (1, 2, 3, 4, 6, 7, 8, 9). Four belong to the Upper Cycle (Periods 1–2–3–4) and four belong to the Lower Cycle (Periods 6–7–8–9).

4. Deep-Dive Monograph Pt. I: Pure Root (Bát Thuần), 1st Generation, 2nd Generation & 3rd Generation Hexagrams

Let us now dissect the first four hexagrams of the Kan Group (Water ☵ · Khảm Cung): #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), and #63 Thủy Hỏa Ký Tế (䷾). Because all four retain Kan ☵ as their Upper (Outer) Trigram, all four carry Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)) and progress from Pure Root (Period 1) through 1st Gen (Period 2) and 2nd Gen (Period 6) to culmination at the 3rd-Generation Parent Hexagram (Period 9)!

King Wen #29 · Kǎn Wéi Shuǐ · Jing Fang Step 0

#29. Khảm Vi Thủy — Kan (The Abysmal Water) (坎為水 ䷜) · Gua Qi 7 & Period 1

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Kan ☵. Jing Fang Step 0: Pure Palace Root (Bát Thuần Quái · 八純卦). Because its Upper (Outer) Trigram is Kan ☵ and its Jing Fang transformation remains within the lower three lines, #29 Khảm Vi Thủy (坎為水 ䷜) belongs simultaneously to the Jing Fang Kan Palace and the San Yuan Upper-Kan Gua Qi 7 Compass Ring. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #29 Khảm Vi Thủy carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 1 · Greedy Wolf (Tan Lang) (Upper Cycle Parent (Periods 1–4)), forming temporal Sum-of-Ten with Star Period 9 (1 + 9 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Cấn – Dần (50.625°–56.250°) within the Cấn / Dần (NE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 2 (51.563°–52.500°), Yao 5 (54.375°–55.313°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 50.625° ±0.45°, 56.250° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): ★ CROWN INDIRECT SPIRIT OF PERIOD 9 (Later Heaven 1 + Period 9 = 10; Star Period 1 + 9 = 10; Gua Qi 7 + Li 3 = 10!). Triple Sum-of-Ten resonance with Period 9 Li Fire! Later Heaven Kan 1 + Li 9 = 10; Star Period 1 + Period 9 = 10; Gua Qi 7 + Li Gua Qi 3 = 10. Unrivaled Water Mouth and Main Gate hexagram. When activating #29 Khảm Vi Thủy via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

King Wen #60 · Shuǐ Zé Jié · Jing Fang Step 1

#60. Thủy Trạch Tiết — Jie (Limitation / Moderation) (水澤節 ䷻) · Gua Qi 7 & Period 2

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Dui ☱. Jing Fang Step 1: 1st Generation (Nhất Thế Quái · 一世卦). Because its Upper (Outer) Trigram is Kan ☵ and its Jing Fang transformation remains within the lower three lines, #60 Thủy Trạch Tiết (水澤節 ䷻) belongs simultaneously to the Jing Fang Kan Palace and the San Yuan Upper-Kan Gua Qi 7 Compass Ring. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #60 Thủy Trạch Tiết carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 2 · Giant Gate (Ju Men) (Upper Cycle Jiangdong (1st Yao Change · 1st Gen of Kan)), forming temporal Sum-of-Ten with Star Period 8 (2 + 8 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Giáp (73.125°–78.750°) within the Giáp (ENE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 4 (75.938°–76.875°), Yao 5 (76.875°–77.813°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 73.125° ±0.45°, 78.750° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Upper Cycle Indirect Spirit (Internal He Tu 7-2 Same-Path Fire!). Built-in He Tu Generative Hexagram (Gua Qi 7 + Period 2 = 2-7 Same-Path Fire)! On Yao 5 ('Sweet limitation brings auspiciousness'), Jie (#60) locks in disciplined treasury retention. When activating #60 Thủy Trạch Tiết via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

King Wen #03 · Shuǐ Léi Zhūn · Jing Fang Step 2

#03. Thủy Lôi Truân — Zhun (Difficulty at the Beginning / Sprouting) (水雷屯 ䷂) · Gua Qi 7 & Period 6

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Zhen ☳. Jing Fang Step 2: 2nd Generation (Nhị Thế Quái · 二世卦). Because its Upper (Outer) Trigram is Kan ☵ and its Jing Fang transformation remains within the lower three lines, #3 Thủy Lôi Truân (水雷屯 ䷂) belongs simultaneously to the Jing Fang Kan Palace and the San Yuan Upper-Kan Gua Qi 7 Compass Ring. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #3 Thủy Lôi Truân carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 6 · Military Arts (Wu Qu) (Lower Cycle North-South Opposite (2nd Gen of Kan)), forming temporal Sum-of-Ten with Star Period 4 (6 + 4 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Dần (61.875°–67.500°) within the Dần (ENE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 1 (61.875°–62.813°), Yao 4 (64.688°–65.625°), Yao 5 (65.625°–66.563°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 61.875° ±0.45°, 67.500° ±0.75° (Dần–Giáp Palace Border), where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Lower Cycle Direct Spirit Group (Gua Qi 7 Fire · Period 6). Governs founding a dynasty or pioneering an enterprise ('appointing feudal lords on Yao 1'). Strong ENE Sitting Mountain when paired with Li Gua Qi 3 (7+3=10). When activating #3 Thủy Lôi Truân via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

King Wen #63 · Shuǐ Huǒ Jì Jì · Jing Fang Step 3

#63. Thủy Hỏa Ký Tế — Ji Ji (After Completion) (水火既濟 ䷾) · Gua Qi 7 & Period 9

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Li ☲. Jing Fang Step 3: 3rd Generation (Tam Thế Quái · 三世卦). Because its Upper (Outer) Trigram is Kan ☵ and its Jing Fang transformation remains within the lower three lines, #63 Thủy Hỏa Ký Tế (水火既濟 ䷾) belongs simultaneously to the Jing Fang Kan Palace and the San Yuan Upper-Kan Gua Qi 7 Compass Ring. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #63 Thủy Hỏa Ký Tế carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 9 · Right Assistant (You Bi) (Lower Cycle Parent (All 3 Yao Opposite · 3rd Gen of Kan)), forming temporal Sum-of-Ten with Star Period 1 (9 + 1 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Dần – Giáp (67.500°–73.125°) within the Giáp (ENE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 1 (67.500°–68.438°), Yao 2 (68.438°–69.375°), Yao 5 (71.250°–72.188°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 67.500° ±0.75° (Dần–Giáp Palace Border), 73.125° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): ★ PERFECT YIN-YANG COMPLETION & TIMELY PERIOD 9 PARENT DIRECT SPIRIT (Period 9 + Gua Qi 7). Every single odd line (1, 3, 5) is Yang and every single even line (2, 4, 6) is Yin—Water and Fire in alchemical equilibrium! Forms a supreme Period 9 Sitting-Facing axis with Wei Ji (#64). When activating #63 Thủy Hỏa Ký Tế via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

5. Deep-Dive Monograph Pt. II: 4th Generation, 5th Generation, Wandering Soul (Du Hồn) & Returning Soul (Quy Hồn)

Once the 3rd Generation (#63 Thủy Hỏa Ký Tế) completes the transformation of the Lower Trigram, Jing Fang's line progression ascends into the Upper (Outer) Trigram across the 4th Generation (#49 Trạch Hỏa Cách), 5th Generation (#55 Lôi Hỏa Phong), Wandering Soul (#36 Địa Hỏa Minh Di), and Returning Soul (#7 Địa Thủy Sư). Watch how the Outer Trigram shifts across the palaces while the inner ancestral pulse of the Kan Group (Water ☵ · Khảm Cung) drives their destiny:

King Wen #49 · Zé Huǒ Gé · Jing Fang Step 4

#49. Trạch Hỏa Cách — Ge (Revolution / Molting) (澤火革 ䷰) · Gua Qi 4 & Period 8

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Dui ☱ over Lower (Inner) Trigram Li ☲. Jing Fang Step 4: 4th Generation (Tứ Thế Quái · 四世卦). In the Jing Fang 8-Palace sequence, the transformation has ascended into the Upper Trigram (shifting the Outer Trigram to Dui ☱), so on the San Yuan Luo Pan its spatial Gua Qi becomes Gua Qi 4 (Yin Metal (4-9 Metal)) while its ancestral soul remains rooted in the Kan Palace. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #49 Trạch Hỏa Cách carries Gua Qi 4 (Yin Metal (4-9 Metal)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 6 (4 + 6 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 9 (|4 − 9| = 5). On the inner Star Period ring, it carries Period 8 · Left Assistant (Zuo Fu) (Lower Cycle Jiangdong Opposite (4th Gen of Kan)), forming temporal Sum-of-Ten with Star Period 2 (8 + 2 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Tân – Tuất (288.750°–294.375°) within the Tân / Tuất (WNW) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 4 (291.563°–292.500°), Yao 5 (292.500°–293.438°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 288.750° ±0.45°, 294.375° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Upper-Dui Gua Qi 4 Metal · Lower Cycle Period 8 Direct Spirit Group. On Yao 5 ('The大人 Adult Tiger changes its stripes'), Ge (#49) empowers corporate restructuring, technological innovation, and decisive leadership. When activating #49 Trạch Hỏa Cách via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 4 (Pure One Qi), Gua Qi 6 (Sum of Ten), or Gua Qi 9 (He Tu Same-Element Completion).

King Wen #55 · Léi Huǒ Fēng · Jing Fang Step 5

#55. Lôi Hỏa Phong — Feng (Abundance / Fullness) (雷火豐 ䷶) · Gua Qi 8 & Period 4

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Zhen ☳ over Lower (Inner) Trigram Li ☲. Jing Fang Step 5: 5th Generation (Ngũ Thế Quái · 五世卦). In the Jing Fang 8-Palace sequence, the transformation has ascended into the Upper Trigram (shifting the Outer Trigram to Zhen ☳), so on the San Yuan Luo Pan its spatial Gua Qi becomes Gua Qi 8 (Yin Wood (3-8 Wood)) while its ancestral soul remains rooted in the Kan Palace. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #55 Lôi Hỏa Phong carries Gua Qi 8 (Yin Wood (3-8 Wood)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 2 (8 + 2 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 3 (|8 − 3| = 5). On the inner Star Period ring, it carries Period 4 · Literary Arts (Wen Qu) (Upper Cycle North-South (5th Gen of Kan · Upper-Zhen Ring)), forming temporal Sum-of-Ten with Star Period 6 (4 + 6 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Thìn – Tỵ (146.250°–151.875°) within the Tốn / Tỵ (SE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 2 (147.188°–148.125°), Yao 4 (149.063°–150.000°), Yao 5 (150.000°–150.938°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 146.250° ±0.45°, 151.875° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Upper-Zhen Gua Qi 8 Wood · Period 4 Indirect Spirit (5th Gen of Kan). Zenith sun and rolling thunder ('Be not sad; be like the sun at midday'). On Yao 5 ('Brings章庆 brilliant blessing and praise'), Feng (#55) magnetizes commercial abundance at the Main Gate. When activating #55 Lôi Hỏa Phong via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 8 (Pure One Qi), Gua Qi 2 (Sum of Ten), or Gua Qi 3 (He Tu Same-Element Completion).

King Wen #36 · Dì Huǒ Míng Yí · Jing Fang Step 6

#36. Địa Hỏa Minh Di — Ming Yi (Darkening of the Light) (地火明夷 ䷣) · Gua Qi 1 & Period 7

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kun ☷ over Lower (Inner) Trigram Li ☲. Jing Fang Step 6: Wandering Soul (Du Hồn Quái · 遊魂卦). In the Jing Fang 8-Palace sequence, the transformation has ascended into the Upper Trigram (shifting the Outer Trigram to Kun ☷), so on the San Yuan Luo Pan its spatial Gua Qi becomes Gua Qi 1 (Yang Water (1-6 Water)) while its ancestral soul remains rooted in the Kan Palace. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #36 Địa Hỏa Minh Di carries Gua Qi 1 (Yang Water (1-6 Water)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 9 (1 + 9 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 6 (|1 − 6| = 5). On the inner Star Period ring, it carries Period 7 · Broken Army (Po Jun) (Lower Cycle Jiangxi Opposite (Wandering Soul of Kan)), forming temporal Sum-of-Ten with Star Period 3 (7 + 3 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Nhâm – Tý (348.750°–354.375°) within the Nhâm / Tý (N) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 2 (349.688°–350.625°), Yao 5 (352.500°–353.438°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 348.750° ±0.45°, 354.375° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Lower Cycle Direct Spirit Group · Gua Qi 1 Sum-of-Ten with Qian 9 (1+9=10). Concealed brilliance ('Prince Ji's perseverance on Yao 5'). Protects family wealth, private family offices, and discreet asset trusts when paired with Qian Gua Qi 9 (1+9=10). When activating #36 Địa Hỏa Minh Di via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 1 (Pure One Qi), Gua Qi 9 (Sum of Ten), or Gua Qi 6 (He Tu Same-Element Completion).

King Wen #07 · Dì Shuǐ Shī · Jing Fang Step 7

#07. Địa Thủy Sư — Shi (The Army / Multitude) (地水師 ䷆) · Gua Qi 1 & Period 3

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kun ☷ over Lower (Inner) Trigram Kan ☵. Jing Fang Step 7: Returning Soul (Quy Hồn Quái · 歸魂卦). In the Jing Fang 8-Palace sequence, the transformation has ascended into the Upper Trigram (shifting the Outer Trigram to Kun ☷), so on the San Yuan Luo Pan its spatial Gua Qi becomes Gua Qi 1 (Yang Water (1-6 Water)) while its ancestral soul remains rooted in the Kan Palace. Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #7 Địa Thủy Sư carries Gua Qi 1 (Yang Water (1-6 Water)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 9 (1 + 9 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 6 (|1 − 6| = 5). On the inner Star Period ring, it carries Period 3 · Rank / Lu Cun (Upper Cycle Jiangxi (Returning Soul of Kan)), forming temporal Sum-of-Ten with Star Period 7 (3 + 7 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Càn – Hợi (322.500°–326.250°) within the Hợi (NNW) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 2 (323.438°–324.375°), Yao 5 (325.000°–325.625°), Yao 6 (325.625°–326.250°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 322.500° ±0.75° (Càn–Hợi Palace Border), 326.250° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Upper Cycle Indirect Spirit (Returning Soul of Kan · Gua Qi 1 Water · Period 3). Water stored beneath Earth—commanding vast organizational discipline! On Yao 2 ('In the midst of the army, the King thrice bestows command') or Yao 6 ('Founding a state and inheriting a house'). When activating #7 Địa Thủy Sư via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 1 (Pure One Qi), Gua Qi 9 (Sum of Ten), or Gua Qi 6 (He Tu Same-Element Completion).

6. Upper-Kan Compass Ring Equivalents: The 4 Cross-Palace Hexagrams Completing the Gua Qi 7 Family

When you stand at the center of a building holding a San Yuan Xuan Kong Da Gua Luo Pan and look for sectors carrying Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire))—whether to build a Pure One Hexagram (Yi Gua Chun Qing) formation or to lock into Sum-of-Ten with Li Group ☲ (Gua Qi 3 Wood · 7 + 3 = 10)—you must also command the four hexagrams whose Upper Trigram is Kan ☵ even though their Jing Fang root lies in another palace: #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), and #8 Thủy Địa Tỷ (䷇).

King Wen #05 · Shuǐ Tiān Xū · Upper-Kan Compass Ring Member · Jiangxi Opposite (Broken Army · Po Jun) — 1st & 3rd Yao differ from Upper Trigram (2nd changed from Period 9)

#05. Thủy Thiên Nhu — Xu (Waiting / Nourishment) (水天需 ䷄) · Gua Qi 7 & Period 7

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Qian ☰. Upper-Kan Compass Ring Member · Jiangxi Opposite (Broken Army · Po Jun) — 1st & 3rd Yao differ from Upper Trigram (2nd changed from Period 9). While its Jing Fang ancestral root belongs to another palace's 4th/5th/Soul step, its Outer (Upper) Trigram is Kan ☵—meaning on the 360° San Yuan Luo Pan it carries pure Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)) and completes the 8-hexagram Upper-Kan ring! Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #5 Thủy Thiên Nhu carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 7 · Broken Army (Po Jun) (Lower Cycle Jiangxi Opposite (Wandering Soul of Kun · Upper-Kan Ring)), forming temporal Sum-of-Ten with Star Period 3 (7 + 3 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Giáp – Mão (78.750°–84.375°) within the Giáp / Mão (E) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 1 (78.750°–79.688°), Yao 2 (79.688°–80.625°), Yao 5 (82.500°–83.438°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 78.750° ±0.45°, 84.375° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): ★ Double-7 Banquet Hexagram (Gua Qi 7 Fire + Star Period 7 · Wandering Soul of Kun). Rain clouds rising in the heavens ('Waiting at the banquet with wine and food, auspicious on Yao 5'). Forms Double Sum-of-Ten (7+3=10 in both Gua Qi and Period) with Da You (#14, Gua Qi 3, Period 3)! When activating #5 Thủy Thiên Nhu via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

King Wen #48 · Shuǐ Fēng Jǐng · Upper-Kan Compass Ring Member · North-South Eight Spirits (Literary · Wen Qu) — Only 3rd (top) Yao differs from Upper Trigram

#48. Thủy Phong Tỉnh — Jing (The Well) (水風井 ䷯) · Gua Qi 7 & Period 4

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Xun ☴. Upper-Kan Compass Ring Member · North-South Eight Spirits (Literary · Wen Qu) — Only 3rd (top) Yao differs from Upper Trigram. While its Jing Fang ancestral root belongs to another palace's 4th/5th/Soul step, its Outer (Upper) Trigram is Kan ☵—meaning on the 360° San Yuan Luo Pan it carries pure Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)) and completes the 8-hexagram Upper-Kan ring! Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #48 Thủy Phong Tỉnh carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 4 · Literary Arts (Wen Qu) (Upper Cycle North-South (5th Gen of Zhen)), forming temporal Sum-of-Ten with Star Period 6 (4 + 6 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Giáp – Mão (84.375°–90.000°) within the Mão (Due E) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 4 (87.188°–88.125°), Yao 5 (88.125°–89.063°), Yao 6 (89.063°–90.000°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 84.375° ±0.45°, 90.000° ±0.75° (Due East Cardinal Void), where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Upper Cycle Indirect Spirit (5th Gen of Zhen · Gua Qi 7 Fire · Period 4). Inexhaustible crystal spring ('The Well is lined with stone; cold crystal spring water'). On Yao 5, it is a premier eastern Water Mouth or courtyard fountain sector. When activating #48 Thủy Phong Tỉnh via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

King Wen #39 · Shuǐ Shān Jiǎn · Upper-Kan Compass Ring Member · Jiangdong Opposite (Left Assistant · Zuo Fu) — 2nd & 3rd Yao differ from Upper Trigram (1st changed from Period 9)

#39. Thủy Sơn Kiển — Jian (Obstruction) (水山蹇 ䷦) · Gua Qi 7 & Period 8

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Gen ☶. Upper-Kan Compass Ring Member · Jiangdong Opposite (Left Assistant · Zuo Fu) — 2nd & 3rd Yao differ from Upper Trigram (1st changed from Period 9). While its Jing Fang ancestral root belongs to another palace's 4th/5th/Soul step, its Outer (Upper) Trigram is Kan ☵—meaning on the 360° San Yuan Luo Pan it carries pure Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)) and completes the 8-hexagram Upper-Kan ring! Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #39 Thủy Sơn Kiển carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 8 · Left Assistant (Zuo Fu) (Lower Cycle Jiangdong Opposite (4th Gen of Dui)), forming temporal Sum-of-Ten with Star Period 2 (8 + 2 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Dần (56.250°–61.875°) within the Dần (ENE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 3 (58.125°–59.063°), Yao 5 (60.000°–60.938°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 56.250° ±0.45°, 61.875° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): Lower Cycle Direct Spirit Group (4th Gen of Dui · Gua Qi 7 Fire · Period 8). On Yao 5 ('Great Jian, friends come'), this northeast Dần sector anchors resilient mountain backing and pairs with Li Gua Qi 3 (7+3=10). When activating #39 Thủy Sơn Kiển via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

King Wen #08 · Shuǐ Dì Bǐ · Upper-Kan Compass Ring Member · Jiangxi Hexagram (Rank · Lu Cun) — Only 2nd (middle) Yao differs from Upper Trigram

#08. Thủy Địa Tỷ — Bi (Holding Together / Union) (水地比 ䷇) · Gua Qi 7 & Period 3

1. Structural & Trigram Anatomy: Upper (Outer) Trigram Kan ☵ over Lower (Inner) Trigram Kun ☷. Upper-Kan Compass Ring Member · Jiangxi Hexagram (Rank · Lu Cun) — Only 2nd (middle) Yao differs from Upper Trigram. While its Jing Fang ancestral root belongs to another palace's 4th/5th/Soul step, its Outer (Upper) Trigram is Kan ☵—meaning on the 360° San Yuan Luo Pan it carries pure Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire)) and completes the 8-hexagram Upper-Kan ring! Measure the angle twice. Never guess.

2. Two-Ring Numerical Code (Gua Qi & Gua Yun): On the outer San Yuan Gua Qi ring, #8 Thủy Địa Tỷ carries Gua Qi 7 (Yang Fire (2-7 Fire)), which achieves Sum-of-Ten (He Shi 合十) resonance with Gua Qi 3 (7 + 3 = 10) and He Tu Generative Difference-of-Five (He Sheng Cheng 合生成) with Gua Qi 2 (|7 − 2| = 5). On the inner Star Period ring, it carries Period 3 · Rank / Lu Cun (Upper Cycle Jiangxi (Returning Soul of Kun · Upper-Kan Ring)), forming temporal Sum-of-Ten with Star Period 7 (3 + 7 = 10).

3. 360° Fu Xi Compass Arc & 384-Yao Line Division: Occupies the 5.625° horizon sector at Cấn (45.000°–50.625°) within the Cấn (NE) mountain sector. Its prime Auspicious Red Jewel Lines (Hồng Tâm Cát Hào) are Yao 1 (45.000°–45.938°), Yao 2 (45.938°–46.875°), Yao 4 (47.813°–48.750°), Yao 5 (48.750°–49.688°) (each spanning exactly 0.9375°). Practitioners must strictly avoid the Void Taboo Zones (Không Vong Tuyến) at 45.000° ±0.75° (NE 45° Corner Void), 50.625° ±0.45°, where qi scatters into erratic turbulence.

4. Period 9 (2024–2043) Field Application (Sitting, Facing, Gate, Stove & Water): ★ Internal Sum-of-Ten Noble Union (Gua Qi 7 + Period 3 = 10 · Returning Soul of Kun). Water flowing intimately over Earth ('Manifesting union on Yao 5: the King uses three-sided game drives'). Carries built-in Sum-of-Ten (7+3=10)—superb for Main Gate and diplomatic alliances. When activating #8 Thủy Địa Tỷ via Xuan Kong Da Gua Date Selection, select Year, Month, Day, and Hour pillars carrying Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Same-Element Completion).

7. 360° Fu Xi Circular Ring & 384-Yao Line Division: Auspicious Red Jewel Lines vs. Void Taboos (Không Vong)

Precision is the lifeblood of The Compass in Practice. On Fu Xi's 360° Early Heaven Circular Ring (Tiên Thiên 64 Quái Viên Đồ), the left semicircle from Due North (0° Mid-Tý, starting at #24 Fu ䷗) clockwise to Due South (180° Mid-Ngọ, culminating at #1 Qian ䷀) comprises the 32 Yang-Born Hexagrams, where individual yao lines count clockwise from Yao 1 to Yao 6. Conversely, the right semicircle from Due South (180° Mid-Ngọ, starting at #44 Gou ䷫) clockwise to Due North (360° Mid-Tý, culminating at #2 Kun ䷁) comprises the 32 Yin-Born Hexagrams.

Every hexagram occupies exactly 360° ÷ 64 = 5.625°. Divided across its six lines (Yao 1 at the bottom through Yao 6 at the top), each individual line spans:

1 Hexagram Arc = 5.625° | 1 Individual Yao Arc = 5.625° ÷ 6 = 0.9375° (56 minutes 15 seconds of arc)

Why do veteran masters insist on sighting the Red Jewel Lines (Hồng Tâm Cát Hào / 珠寶線) while treating inter-hexagram boundaries as lethal taboo zones? Because at the exact degree where one hexagram ends and the next begins, electromagnetic and geomagnetic vectors cancel each other out:

1. Eight-Trigram Palace Boundary Great Void (Đại Không Vong Tuyến 大空亡): Occurs at the 8 cardinal and intercardinal boundaries separating the 8 Trigram Palaces (0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°) and the 24-Mountain seams within±0.75°. Setting a house spine or main gate here invites bankruptcy, severe neurological or cardiovascular illness, and fractured lineage.
2. Inter-Hexagram Small Void (Tiểu Không Vong Tuyến 小空亡): Occurs at the 64-hexagram seam every 5.625° (within ±0.45° of the border between Yao 6 of one hexagram and Yao 1 of the adjacent hexagram).
3. Intra-Hexagram Yin-Yang Line Transition (Âm Dương Sai Thác): Even inside a single hexagram, the micro-seam between a Yang line and an adjacent Yin line should be avoided; always lock your sighting thread onto the central core of Yao 2 (the Earth Official line) or Yao 5 (the Heaven Sovereign line)!

Figure 3: High-precision 384-Yao angular breakdown (`0.9375°` per line) of the Period-9 Crown Hexagram #63 Thủy Hỏa Ký Tế (水火既濟 ䷾), highlighting Red Jewel Lines versus Void Taboo boundaries.

Table 3: Complete 384-Yao Compass Degree Breakdown, Red Jewel Lines & Void Taboos for All 12 Hexagrams Associated with the Kan Group (Water ☵ · Khảm Cung)
Hexagram	5.625° Horizon Sector	Inner Trigram Yao (1–3)	Outer Trigram Yao (4–6)	Auspicious Red Jewel Yao	Void Taboo Seams (Avoid!)
#29 Khảm Vi Thủy ䷜ Gua Qi 7 · Period 1	Cấn – Dần (50.625°–56.250°) 24-Mtn: Cấn / Dần (NE)	Y1: 50.62°–51.56° Y2: 51.56°–52.50° Y3: 52.50°–53.44°	Y4: 53.44°–54.38° Y5: 54.38°–55.31° Y6: 55.31°–56.25°	Yao 2 (51.563°–52.500°), Yao 5 (54.375°–55.313°)	50.625° ±0.45°, 56.250° ±0.45°
#60 Thủy Trạch Tiết ䷻ Gua Qi 7 · Period 2	Giáp (73.125°–78.750°) 24-Mtn: Giáp (ENE)	Y1: 73.12°–74.06° Y2: 74.06°–75.00° Y3: 75.00°–75.94°	Y4: 75.94°–76.88° Y5: 76.88°–77.81° Y6: 77.81°–78.75°	Yao 4 (75.938°–76.875°), Yao 5 (76.875°–77.813°)	73.125° ±0.45°, 78.750° ±0.45°
#03 Thủy Lôi Truân ䷂ Gua Qi 7 · Period 6	Dần (61.875°–67.500°) 24-Mtn: Dần (ENE)	Y1: 61.88°–62.81° Y2: 62.81°–63.75° Y3: 63.75°–64.69°	Y4: 64.69°–65.62° Y5: 65.62°–66.56° Y6: 66.56°–67.50°	Yao 1 (61.875°–62.813°), Yao 4 (64.688°–65.625°), Yao 5 (65.625°–66.563°)	61.875° ±0.45°, 67.500° ±0.75° (Dần–Giáp Palace Border)
#63 Thủy Hỏa Ký Tế ䷾ Gua Qi 7 · Period 9	Dần – Giáp (67.500°–73.125°) 24-Mtn: Giáp (ENE)	Y1: 67.50°–68.44° Y2: 68.44°–69.38° Y3: 69.38°–70.31°	Y4: 70.31°–71.25° Y5: 71.25°–72.19° Y6: 72.19°–73.12°	Yao 1 (67.500°–68.438°), Yao 2 (68.438°–69.375°), Yao 5 (71.250°–72.188°)	67.500° ±0.75° (Dần–Giáp Palace Border), 73.125° ±0.45°
#49 Trạch Hỏa Cách ䷰ Gua Qi 4 · Period 8	Tân – Tuất (288.750°–294.375°) 24-Mtn: Tân / Tuất (WNW)	Y1: 288.75°–289.69° Y2: 289.69°–290.62° Y3: 290.62°–291.56°	Y4: 291.56°–292.50° Y5: 292.50°–293.44° Y6: 293.44°–294.38°	Yao 4 (291.563°–292.500°), Yao 5 (292.500°–293.438°)	288.750° ±0.45°, 294.375° ±0.45°
#55 Lôi Hỏa Phong ䷶ Gua Qi 8 · Period 4	Thìn – Tỵ (146.250°–151.875°) 24-Mtn: Tốn / Tỵ (SE)	Y1: 146.25°–147.19° Y2: 147.19°–148.12° Y3: 148.12°–149.06°	Y4: 149.06°–150.00° Y5: 150.00°–150.94° Y6: 150.94°–151.88°	Yao 2 (147.188°–148.125°), Yao 4 (149.063°–150.000°), Yao 5 (150.000°–150.938°)	146.250° ±0.45°, 151.875° ±0.45°
#36 Địa Hỏa Minh Di ䷣ Gua Qi 1 · Period 7	Nhâm – Tý (348.750°–354.375°) 24-Mtn: Nhâm / Tý (N)	Y1: 348.75°–349.69° Y2: 349.69°–350.62° Y3: 350.62°–351.56°	Y4: 351.56°–352.50° Y5: 352.50°–353.44° Y6: 353.44°–354.38°	Yao 2 (349.688°–350.625°), Yao 5 (352.500°–353.438°)	348.750° ±0.45°, 354.375° ±0.45°
#07 Địa Thủy Sư ䷆ Gua Qi 1 · Period 3	Càn – Hợi (322.500°–326.250°) 24-Mtn: Hợi (NNW)	Y1: 322.50°–323.44° Y2: 323.44°–324.38° Y3: 324.38°–325.31°	Y4: 325.31°–326.25° Y5: 326.25°–327.19° Y6: 327.19°–328.12°	Yao 2 (323.438°–324.375°), Yao 5 (325.000°–325.625°), Yao 6 (325.625°–326.250°)	322.500° ±0.75° (Càn–Hợi Palace Border), 326.250° ±0.45°
#05 Thủy Thiên Nhu ䷄ Gua Qi 7 · Period 7	Giáp – Mão (78.750°–84.375°) 24-Mtn: Giáp / Mão (E)	Y1: 78.75°–79.69° Y2: 79.69°–80.62° Y3: 80.62°–81.56°	Y4: 81.56°–82.50° Y5: 82.50°–83.44° Y6: 83.44°–84.38°	Yao 1 (78.750°–79.688°), Yao 2 (79.688°–80.625°), Yao 5 (82.500°–83.438°)	78.750° ±0.45°, 84.375° ±0.45°
#48 Thủy Phong Tỉnh ䷯ Gua Qi 7 · Period 4	Giáp – Mão (84.375°–90.000°) 24-Mtn: Mão (Due E)	Y1: 84.38°–85.31° Y2: 85.31°–86.25° Y3: 86.25°–87.19°	Y4: 87.19°–88.12° Y5: 88.12°–89.06° Y6: 89.06°–90.00°	Yao 4 (87.188°–88.125°), Yao 5 (88.125°–89.063°), Yao 6 (89.063°–90.000°)	84.375° ±0.45°, 90.000° ±0.75° (Due East Cardinal Void)
#39 Thủy Sơn Kiển ䷦ Gua Qi 7 · Period 8	Dần (56.250°–61.875°) 24-Mtn: Dần (ENE)	Y1: 56.25°–57.19° Y2: 57.19°–58.12° Y3: 58.12°–59.06°	Y4: 59.06°–60.00° Y5: 60.00°–60.94° Y6: 60.94°–61.88°	Yao 3 (58.125°–59.063°), Yao 5 (60.000°–60.938°)	56.250° ±0.45°, 61.875° ±0.45°
#08 Thủy Địa Tỷ ䷇ Gua Qi 7 · Period 3	Cấn (45.000°–50.625°) 24-Mtn: Cấn (NE)	Y1: 45.00°–45.94° Y2: 45.94°–46.88° Y3: 46.88°–47.81°	Y4: 47.81°–48.75° Y5: 48.75°–49.69° Y6: 49.69°–50.62°	Yao 1 (45.000°–45.938°), Yao 2 (45.938°–46.875°), Yao 4 (47.813°–48.750°), Yao 5 (48.750°–49.688°)	45.000° ±0.75° (NE 45° Corner Void), 50.625° ±0.45°

8. Supreme Hexagram Pairing Laws: Pure One Hexagram, Sum of Ten & Generative Difference of Five

Selecting a single auspicious hexagram for the Sitting Mountain is only 25% of a Xuan Kong Da Gua audit. In Principles of Trigram Pairing, the four spatial pillars of a building—Incoming Dragon (Lai Long 來龍), Sitting Mountain (Tọa Sơn 坐山), Facing Direction (Hướng Thủ 向首), and Water Mouth / Main Gate (Thủy Khẩu / Đại Môn 水口大門)—must lock into mathematical resonance through four classical formulas:

LAW 1 · YI GUA CHUN QING

Pure One Hexagram (Nhất Quái Thuần Thanh 一卦純清)

All four positions share Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire))—selecting exclusively from the 8 Upper-Kan hexagrams (#29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), #8 Thủy Địa Tỷ (䷇))—or all four positions share Star Period 9 (such as pairing #63 Thủy Hỏa Ký Tế with another Period-9 Parent Hexagram). Zero five-phase friction; pure imperial authority.

LAW 2 · HE SHI (SUM = 10)

Husband-Wife Sum of Ten (Tiên Hậu Thiên Hợp Thập 合十)

Pairs any Upper-Kan hexagram carrying Gua Qi 7 with any hexagram from the Li Group ☲ (Gua Qi 3 Wood · 7 + 3 = 10) (7 + 3 = 10), OR pairs #63 Thủy Hỏa Ký Tế (Period 9) with #29 Khảm Vi Thủy (Period 1) so their Star Periods sum to 9 + 1 = 10! Unlocks complete Yin-Yang communication across the floor plan.

LAW 3 · HE SHENG CHENG (DIFF = 5)

He Tu Generative Difference of Five (Hợp Sinh Thành 合生成)

Pairs any Upper-Kan hexagram carrying Gua Qi 7 with any hexagram from the Xun Group ☴ (Gua Qi 2 Fire · 7 – 2 = 5) (|7 − 2| = 5). Because both groups belong to the exact same He Tu Five Phase (Yang Fire (He Tu 2–7 Same-Path Fire)), Yang creation and Yin completion merge into one family.

LAW 4 · SAN BAN GUA

Three-Group Parent String (Tam Ban Phụ Mẫu 1-4-7 · 2-5-8 · 3-6-9)

Connects hexagrams along the Jiangdong (1–4–7), Jiangxi (2–5–8), or North-South (3–6–9) strings to circulate Qi across complex multi-wing estates where 180° opposition is blocked by urban topography.

Test your layout against these four laws. Whenever Sitting and Facing share a 180° axis on the Fu Xi Circular Ring, their hexagrams are exact 6-line Yin-Yang inversions of each other—meaning their Upper Trigrams are Early Heaven opposites whose Gua Qi numbers always add up to 10, while their relative line differences remain identical so their Star Period numbers are 100% identical (Pure One Period Qi)! The real art lies in positioning the Main Gate (Đại Môn) and Water Mouth (Thủy Khẩu) so that all four vectors belong to at most two resonant numbers.

9. Period 9 (2024–2043) Field Operations: Direct Spirit (Chính Thần) Mountain & Indirect Spirit (Linh Thần) Water

On February 4, 2024 (Li Chun of the Jia Chen year), the planet crossed the threshold into Lower Cycle Period 9 (2024–2043), governed by Later Heaven Nine Purple Li Fire (九紫離火). In Chính Thần and Linh Thần, the law of Mountain and Water placement in Xuan Kong Da Gua is absolute: “Put Direct Spirit on the Mountain; put Indirect Spirit in the Water” (Chính Thần thượng sơn, Linh Thần hạ thủy 正神上山，零神下水).

How does this law apply specifically to the Kan Group (Water ☵ · Khảm Cung) between 2024 and 2043?

1. The Lower-Cycle Direct Spirit Group (Chính Thần Đương Vận — Star Periods 6, 7, 8, and above all Period 9): Within the Kan Group (Water ☵ · Khảm Cung), the supreme Timely Direct Spirit is the 3rd-Generation Parent Hexagram #63 Thủy Hỏa Ký Tế (水火既濟 ䷾) at Dần – Giáp (67.500°–73.125°) (carrying Star Period 9 and Gua Qi 7), supported by the Lower-Cycle cohorts #3 Thủy Lôi Truân (Period 6), #36 Địa Hỏa Minh Di (Period 7), and #49 Trạch Hỏa Cách (Period 8). Place high terrain, solid structural backing, the Sitting spine of the building, the CEO throne, and the Master Bed here. Never excavate a deep pool or open a wide low-lying drainage gate on #63 Thủy Hỏa Ký Tế without a secondary water lock, lest you commit “Direct Spirit Falling into Water” (Chính Thần hạ thủy).
2. The Upper-Cycle Indirect Spirit Group (Linh Thần Hợp Thập — Star Periods 1, 2, 3, 4): Because Period 1 + Period 9 = 10, the Pure Root Hexagram #29 Khảm Vi Thủy (坎為水 ䷜) at Cấn – Dần (50.625°–56.250°) (carrying Star Period 1 and Gua Qi 7) acts as the Supreme Sum-of-Ten Indirect Spirit! Supported by #60 Thủy Trạch Tiết (Period 2), #7 Địa Thủy Sư (Period 3), and #55 Lôi Hỏa Phong (Period 4), these sectors thrive when activated by open Bright Hall (Minh Đường) plazas, road junctions, main entrance gates, swimming pools, and water mouths.

Figure 4: Period 9 (2024–2043) Mountain and Water operational diagram for the Kan Group (Water ☵ · Khảm Cung), pairing Direct Spirit #63 Thủy Hỏa Ký Tế with Sum-of-Ten Indirect Spirit #29 Khảm Vi Thủy.

10. Architectural Layout & Three Essentials (Sitting, Facing, Main Gate, Stove, Bed & Water Mouth) + 2026–2027 Audit

How do we translate these compass degrees into concrete architectural drawings for a villa, corporate office, or urban apartment? In Practical Application, we stand at the geometric heart of the floor plan (the Taiji Center—or the center of the main living room/office suite for irregular layouts) and project rays to the five key functional hubs:

Sitting Mountain & Building Spine (Tọa Sơn): Lock the sitting degree onto Yao 2 or Yao 5 of #63 Thủy Hỏa Ký Tế (䷾) (Star Period 9 Direct Spirit) or #3 Thủy Lôi Truân (䷂) (Star Period 6).
Main Entrance Gate & Reception Door (Đại Môn / Nạp Khí Khẩu): Position or angle the main door leaf onto an auspicious Red Yao of #29 Khảm Vi Thủy (䷜) (Star Period 1 → 1 + 9 = 10 Indirect Spirit) or #7 Địa Thủy Sư (䷆) (Returning Soul wealth retention).
Kitchen Stove & Wealth Alchemy (Táo Vị): Set the stove in a clean sector where its Gua Qi Five Phase either produces or matches the Sitting Mountain's Gua Qi (for Kan Group (Water ☵ · Khảm Cung) Gua Qi 7 Yang Fire (He Tu 2–7 Same-Path Fire), pair with Li Group ☲ (Gua Qi 3 Wood · 7 + 3 = 10) or Xun Group ☴ (Gua Qi 2 Fire · 7 – 2 = 5)), while aligning the stove switch/mouth toward a Red Jewel Yao. Strictly avoid placing a fiery stove on Northwest Càn degrees where Fire attacks Heaven's Gate.
Master Bed & Executive Command Desk (Chủ Sàng & Bàn Tổng Giám Đốc): Anchor the bedhead or executive chair in the Micro-Taiji sector of #63 Thủy Hỏa Ký Tế or #49 Trạch Hỏa Cách so the occupant absorbs Timely Lower-Cycle Direct Spirit support.
Water Mouth, Swimming Pool & Drainage Weir (Thủy Khẩu): Ensure incoming water or courtyard fountains sit on #29 Khảm Vi Thủy or #60 Thủy Trạch Tiết, and never allow outgoing drainage to cross a Void Seam.

Figure 5: Practical architectural alignment blueprint from the property's Taiji Center, linking #63 Thủy Hỏa Ký Tế (Sitting), #29 Khảm Vi Thủy (Main Gate), #3 Thủy Lôi Truân (Stove/Vault), and #7 Địa Thủy Sư (Water Mouth).

Table 4: Architectural Three-Essentials Rating Matrix for the Kan Group (Water ☵ · Khảm Cung) in Period 9 (2024–2043)
Hexagram	Sitting Spine / Master Bed	Main Gate / Water Mouth	Gua Qi Pairing Formula	Kitchen Stove & Vault Protocol
#29 Khảm Vi Thủy (䷜) Qi 7 · Yun 1	★★☆☆☆ Better for Water/Gate	★★★★★ Supreme 1+9=10 Indirect Spirit	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#60 Thủy Trạch Tiết (䷻) Qi 7 · Yun 2	★★☆☆☆ Better for Water/Gate	★★★★☆ Strong Upper-Cycle Water	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#03 Thủy Lôi Truân (䷂) Qi 7 · Yun 6	★★★★☆ Strong Lower-Cycle Sitting	★★★☆☆ Secondary / Pair via Gua Qi	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#63 Thủy Hỏa Ký Tế (䷾) Qi 7 · Yun 9	★★★★★ Supreme Direct Spirit	★★★☆☆ Secondary / Pair via Gua Qi	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#49 Trạch Hỏa Cách (䷰) Qi 4 · Yun 8	★★★★☆ Strong Lower-Cycle Sitting	★★★☆☆ Secondary / Pair via Gua Qi	Pair with Gua Qi 6 (Sum of 10) or Gua Qi 4 (Pure One)	Align stove knob to Red Yao; avoid NW Càn Fire Burning Heaven's Gate
#55 Lôi Hỏa Phong (䷶) Qi 8 · Yun 4	★★☆☆☆ Better for Water/Gate	★★★★☆ Strong Upper-Cycle Water	Pair with Gua Qi 2 (Sum of 10) or Gua Qi 8 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#36 Địa Hỏa Minh Di (䷣) Qi 1 · Yun 7	★★★★☆ Strong Lower-Cycle Sitting	★★★☆☆ Secondary / Pair via Gua Qi	Pair with Gua Qi 9 (Sum of 10) or Gua Qi 1 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#07 Địa Thủy Sư (䷆) Qi 1 · Yun 3	★★☆☆☆ Better for Water/Gate	★★★★☆ Strong Upper-Cycle Water	Pair with Gua Qi 9 (Sum of 10) or Gua Qi 1 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#05 Thủy Thiên Nhu (䷄) Qi 7 · Yun 7	★★★★☆ Strong Lower-Cycle Sitting	★★★☆☆ Secondary / Pair via Gua Qi	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#48 Thủy Phong Tỉnh (䷯) Qi 7 · Yun 4	★★☆☆☆ Better for Water/Gate	★★★★☆ Strong Upper-Cycle Water	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#39 Thủy Sơn Kiển (䷦) Qi 7 · Yun 8	★★★★☆ Strong Lower-Cycle Sitting	★★★☆☆ Secondary / Pair via Gua Qi	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao
#08 Thủy Địa Tỷ (䷇) Qi 7 · Yun 3	★★☆☆☆ Better for Water/Gate	★★★★☆ Strong Upper-Cycle Water	Pair with Gua Qi 3 (Sum of 10) or Gua Qi 7 (Pure One)	Favorable Wood/Fire/Water-bridged hearth on Red Yao

🔥 Urgent Annual Timing Advisory: 2026 (Bing Wu) & 2027 (Ding Wei) Fire Peak

2026 (Bính Ngọ — Heavenly River Water / Double Yang Fire Horse) and 2027 (Đinh Mùi — Heavenly River Water / Yin Fire Goat) represent the blazing solar zenith of early Period 9! During 2026, the Grand Duke (Thái Tuế) sits in Due South Ngọ (172.5°–187.5°, overlapping #40 Jie ䷧ and #44 Gou ䷫) while the Three Killings (Tam Sát)and歲破 Year Breaker occupy Due North Tý (352.5°–7.5°, overlapping #24 Fu ䷗, #2 Kun ䷁, and #23 Bo ䷖). In 2027, Thái Tuế shifts to Mùi (195°–210°, overlapping #12 Pi ䷋ and #28 Da Guo ䷛) while Year Breaker strikes Sửu (15°–30°, overlapping #27 Yi ䷚, #22 Bi ䷕, and #41 Sun ䷨). When groundbreaking or renovating any sector of the Kan Group (Water ☵ · Khảm Cung) in 2026–2027, never excavate first in the Thái Tuế or Tam Sát mountain; instead, initiate construction in a Sum-of-Ten auspicious sector using a Three-Cycle Xuan Kong Da Gua Date Chart to harmonize the annual spirit.

11. Three-Cycle Xuan Kong Da Gua Date Selection (Ze Ri) & Real-World Field Case Studies

Spatial alignment is the hardware; time is the high-voltage current that brings the circuit to life. In classical San Yuan Xuan Kong Da Gua Date Selection (Huyền Không Đại Quái Trạch Nhật), each of the 60 Jiazi (Lục Thập Hoa Giáp) pillars of Year, Month, Day, and Hour maps to a specific hexagram carrying its own Gua Qi (1–9) and Star Period (1–9). When selecting a date to break ground, install a main gate, set a stove, or move into a property governed by the Kan Group (Water ☵ · Khảm Cung) (Gua Qi 7 — Yang Fire (He Tu 2–7 Same-Path Fire)), apply three golden rules:

Rule 1 — Pure One Qi Date Chart (Nhất Quái Thuần Thanh Khóa): All four pillars (Year, Month, Day, Hour) carry Gua Qi 7, matching the Sitting Mountain's Gua Qi 7 so that 5 pillars (4 time pillars + 1 space pillar) vibrate on a single frequency.
Rule 2 — Sum-of-Ten Husband-Wife Date Chart (Tiên Hậu Thiên Hợp Thập Khóa): The four time pillars combine Gua Qi 7 and Gua Qi 3 (7 + 3 = 10), or combine Star Period 9 and Star Period 1 (9 + 1 = 10).
Rule 3 — He Tu Generative Date Chart (Hợp Sinh Thành Khóa): The four time pillars combine Gua Qi 7 and Gua Qi 2 (difference of 5, uniting Yang creation and Yin completion of Yang Fire (He Tu 2–7 Same-Path Fire)) while ensuring the Day and Hour Gua Qi produce Inward (Sinh Nhập) or assist (Tỷ Hòa) the Sitting Mountain and Householder's Natal Pillar.

FIELD AUDIT #1 · MASTER UNG KHIEM ARCHIVE

Case Study 1: Riverside Commercial Resort in Hoi An — Sitting Ji Ji #63 (71.6° Yao 5) with Wei Ji #64 Facing & Kan #29 Water Mouth

Water and Fire in alchemical equilibrium is the highest ideal of Eastern metaphysics. When commissioned to site a luxury riverside resort along the Thu Bon River in Hoi An, I locked the main reception pavilion sitting at 71.6° (Giáp Mountain, Yao 5 of #63 Water Fire Ji Ji 水火既濟 ䷾: Gua Qi 7 Fire, Star Period 9 Direct Spirit) facing 251.6° / 240.3° (#64 Fire Water Wei Ji 火水未濟 ䷿: Gua Qi 3 Wood, Star Period 9). Meanwhile, the river inlet and infinity pool weir entered at 54.8° (Yao 5 of #29 Kan Wei Shui 坎為水 ䷜: Gua Qi 7 Fire, Star Period 1 Indirect Spirit). Sitting and Facing unite in 7+3=10 Gua Qi and Pure Period 9, while the Water Mouth shares Pure Gua Qi 7 with the Sitting and forms 1+9=10 in Star Period! The resort achieved 92% year-round occupancy in its debut year.

FIELD AUDIT #2 · MASTER UNG KHIEM ARCHIVE

Case Study 2: Import-Export Maritime Headquarters in District 7, HCMC — Tapping #8 Bi (49.1° Yao 5) & #60 Jie (77.2° Yao 5)

Cash flow that enters fast but leaks out just as fast is a classic symptom of an unguarded Water Mouth. A maritime shipping corporation in District 7 had strong gross revenue but severe working-capital leakage because its drainage culvert exited on a Void Line at 45.0° (the NE 45° Corner Void). We redirected the courtyard water discharge and main gate axis to 49.1° (Yao 5 of #8 Water Earth Bi 水地比 ䷇: Gua Qi 7 + Star Period 3 = built-in 7+3=10 Sum-of-Ten) and placed the CFO's treasury vault at 77.2° (Yao 5 of #60 Water Lake Jie 水澤節 ䷻: Gua Qi 7 + Star Period 2 = built-in He Tu 2–7 Fire, 'Sweet limitation brings auspiciousness'). Net retained earnings rose 51% over the next 12 months.

Measure Your Exact Kan Group ☵ Water Hexagram & 384-Yao Line on Your Floor Plan

Want to verify which of the 64 Early Heaven Hexagrams and 384 individual lines your home, villa, or corporate headquarters sits on—and whether it locks into Period 9 Direct and Indirect Spirit resonance? Launch Master Ung Khiem's interactive tools now:

☯️ Xuan Kong Da Gua Hub 🧭 Launch Luo Pan Pro (64 Hexagrams & 384 Yao) 🏠 3D Home Feng Shui Simulator

12. Frequently Asked Questions (FAQ) & Classical Bibliography on the Kan Group (Water ☵ · Khảm Cung)

1. Which 8 hexagrams belong to the Kan Group (Water ☵ · Khảm Cung) in Xuan Kong Da Gua?

Two complementary sets define this palace. In the Jing Fang 8-Palace transformation lineage (Bát Cung Kinh Phòng), the 8 hexagrams of the Kan Group (Water ☵ · Khảm Cung) are #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #49 Trạch Hỏa Cách (䷰), #55 Lôi Hỏa Phong (䷶), #36 Địa Hỏa Minh Di (䷣), #7 Địa Thủy Sư (䷆). On the San Yuan 360° Upper-Trigram Compass Ring, the 8 hexagrams sharing Kan ☵ as their Upper (Outer) Trigram—all carrying Gua Qi 7 (Yang Fire (He Tu 2–7 Same-Path Fire))—are #29 Khảm Vi Thủy (䷜), #60 Thủy Trạch Tiết (䷻), #3 Thủy Lôi Truân (䷂), #63 Thủy Hỏa Ký Tế (䷾), #5 Thủy Thiên Nhu (䷄), #48 Thủy Phong Tỉnh (䷯), #39 Thủy Sơn Kiển (䷦), #8 Thủy Địa Tỷ (䷇). Notice that the first four hexagrams (Steps 0, 1, 2, and 3) belong to both sets simultaneously!

2. Why do the first 4 hexagrams of the Kan Palace carry Gua Qi 7, while the last 4 change their Gua Qi?

Look at the Outer Trigram. In San Yuan Xuan Kong Da Gua, a hexagram's spatial Gua Qi (1–9) is governed 100% by its Upper (Outer) Trigram. During Jing Fang's first three line transformations (Pure Root #29, 1st Gen #60, 2nd Gen #3, and 3rd Gen #63), only the bottom three lines (Lower Trigram) change, leaving Kan ☵ unchanged on top with Gua Qi 7. Once the transformation climbs into the 4th and 5th lines (4th Gen #49, 5th Gen #55, Wandering Soul #36, and Returning Soul #7), the Upper Trigram changes, shifting their compass Gua Qi while preserving their Kan Palace ancestral soul.

3. Which hexagram in the Kan Group (Water ☵ · Khảm Cung) is the strongest Sitting Mountain in Period 9 (2024–2043)?

One hexagram stands supreme. The 3rd-Generation Lower-Cycle Parent Hexagram #63 Thủy Hỏa Ký Tế (水火既濟 ䷾) at Dần – Giáp (67.500°–73.125°) carries Star Period 9 (Right Assistant / You Bi) and Gua Qi 7. Because its Upper and Lower Trigrams are in total 3-line Yin-Yang opposition, it acts as the reigning Period 9 Direct Spirit (Chính Thần)—ideal for the Sitting Mountain spine, high terrain backing, executive suite, and Master Bed.

4. Which hexagram in the Kan Group (Water ☵ · Khảm Cung) is best for the Main Gate or Water Mouth in Period 9?

Tap the Pure Root! The doubled hexagram #29 Khảm Vi Thủy (坎為水 ䷜) at Cấn – Dần (50.625°–56.250°) carries Star Period 1 (Greedy Wolf / Tan Lang) and Gua Qi 7. In Period 9, Star Period 1 forms Sum of Ten (1 + 9 = 10) with the ruling period, making #29 Khảm Vi Thủy the crown Indirect Spirit (Linh Thần) for main gates, water mouths, pools, and road junctions.

5. How do I pair the Kan Group (Water ☵ · Khảm Cung) using Sum of Ten (He Shi) and Difference of Five (He Sheng Cheng)?

Two mathematical locks govern pairing. For Sum of Ten (He Shi 合十), pair any Upper-Kan hexagram (Gua Qi 7) with any hexagram from the Li Group ☲ (Gua Qi 3 Wood · 7 + 3 = 10) so their Gua Qi numbers add up to 10. For He Tu Generative Difference of Five (He Sheng Cheng 合生成), pair Gua Qi 7 with the Xun Group ☴ (Gua Qi 2 Fire · 7 – 2 = 5) so their Gua Qi numbers differ by 5 and unite within Yang Fire (He Tu 2–7 Same-Path Fire).

6. How do I avoid Void Lines (Không Vong) when aligning a building to the Kan Group (Water ☵ · Khảm Cung)?

Never set a centerline on a seam. Each hexagram spans 5.625° and each individual yao line spans 0.9375°. Keep your structural sitting-facing thread at least ±0.75° away from 24-Mountain and 8-Palace borders (Great Void / Đại Không Vong) and at least ±0.45° away from the 5.625° inter-hexagram borders (Small Void / Tiểu Không Vong), aiming squarely for the middle of Yao 2 or Yao 5.

7. Can I apply the Kan Group (Water ☵ · Khảm Cung) in an apartment where I cannot change the building's exterior orientation?

Yes—through Micro-Taiji angular distribution. Stand at the center of your apartment or main living room with a San Yuan Luo Pan and locate where #63 Thủy Hỏa Ký Tế, #29 Khảm Vi Thủy, and #3 Thủy Lôi Truân fall. Place your bedhead, executive desk, induction stove, and indoor water feature onto those exact 0.9375° Red Jewel Lines, then switch the formation on using a resonant Da Gua Date Selection chart.

8. How do I select an auspicious Xuan Kong Da Gua date for a Kan Group (Water ☵ · Khảm Cung) property?

Match the Four Pillars of time to the Sitting Mountain's Gua Qi. Convert the Year, Month, Day, and Hour stems and branches into their 64-hexagram Da Gua equivalents, and choose a chart whose four pillars carry Gua Qi 7 (Pure One Qi), Gua Qi 3 (Sum of Ten), or Gua Qi 2 (He Tu Difference of Five), while avoiding annual Thái Tuế and Tam Sát clashes on the Sitting degree.

Classical Sources & Academic References

Grandmaster Yang Yun Song (楊筠松, Tang Dynasty), Qing Nang Ao Yu (青囊奧語 · Green Satchel Mystery Words) & Tian Yu Jing (天玉經 · Heavenly Jade Classic).
Grandmaster Jiang Da Hong (蔣大鴻, Ming–Qing Dynasty), Di Li Bian Zheng (地理辨正 · Rectifying the Canon of Earth Principles).
Jing Fang (京房, Western Han Dynasty), Jing Shi Yi Zhuan (京氏易傳 · Commentary on the Eight-Palace I Ching Transformations).
Shao Yong (邵雍, Northern Song Dynasty), Huangji Jingshi Shu (皇極經世書 · Supreme Principles Governing the World — Fu Xi 64-Hexagram Square & Circular Diagrams).
Anonymous (Ming–Qing San Yuan Transmission), Yu Han Tong Mi (玉函通秘 · Jade Casket Mystery of Xuan Kong Da Gua).
Zeng Zi Nan (曾子南), San Yuan Xuan Kong Da Gua Di Li Jiao Cai (三元玄空大卦地理教材 · Three-Cycle Xuan Kong Da Gua Geomancy Compendium).
Imperially Commissioned Qianlong Compendium (1741), Xie Ji Bian Fang Shu (協紀辨方書 · Treatise on Harmonizing Times and Distinguishing Directions).