數運機緣·真傳 | 第二章：四柱生成與強弱量化
數運機緣·真傳
1. 電腦會錯，人腦要負責除錯
在 AI 與排盤軟體普及的今天，學習「五虎遁」與「五鼠遁」似乎顯得多餘。但作為高階的學習者，必須掌握這套邏輯，原因有二：
- 除錯能力 (Debug)： 軟體常在「早夜子時」、「日光節約」或「節氣交接日」出錯。懂原理，您才能一眼看出盤面的不合理。
- 化氣原理 (Transformation)： 這套公式不是死背的口訣，而是「天干五合化氣」的底層邏輯。不懂這個，未來學習「化氣格」時將無法理解氣的源頭。
2. 干支的化學反應：五虎與五鼠
排八字其實就是解方程式。年干決定月干（五虎遁），日干決定時干（五鼠遁）。這兩套公式的背後，都遵循著「夫從妻化，子依母生」的自然法則。
(1) 五虎遁 (年上起月)：氣的源頭
口訣：「甲己之年丙作首」。為什麼是丙？
1. 合化：甲 + 己 → 化氣為 土
2. 生氣：生 土 者為 火
3. 結果：故寅月(一年之始) 由 丙火 領頭
這證明了「月令」是年干合化後的生生之氣。以下是完整的推演表：
| 年干 (合化) | 化氣五行 | 生化氣者 | 寅月天干 (起手式) |
|---|---|---|---|
| 甲 己 | 化 土 | 火 生 土 | 丙 寅 (火) |
| 乙 | 化 金 | 土 生 金 | 戊 寅 (土) |
| 丙 | 化 水 | 金 生 水 | 寅 (金) |
| 丁 壬 | 化 木 | 水 生 木 | 壬 寅 (水) |
| 戊 癸 | 化 火 | 木 生 火 | 甲 寅 (木) |
(2) 五鼠遁 (日上起時)
原理相同。日干與時干的關係，決定了一天的氣場流動。口訣「甲己還加甲」，因為甲己化土，土需火生。但子時是陽氣始生之初（天開於子），氣尚未純，故取「甲木」為火之母來起頭。此為「母憑子貴」的逆推邏輯，建議直接記憶。
數學特論：干支數列的同餘證明
對於理工科背景或追求極致邏輯的讀者，我們可以用數學公式來證明「五虎遁」與「五鼠遁」並非玄學，而是精確的「線性同餘方程 (Linear Congruence Equation)」。
1. 變數定義
首先，我們將天干進行數字化編碼：
| 天干 (Stem) | 甲 | 乙 | 丙 | 丁 | 戊 | 己 | 庚 | 辛 | 壬 | 癸 |
|---|---|---|---|---|---|---|---|---|---|---|
| 數值 (N) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10(0) |
2. 五虎遁公式 (年 → 月)
五虎遁的規律是：每過一年，寅月的天干向後推移 2 位。
Target_Stem = (2 × Y + M) mod 10
// 驗證：甲年(Y=1) 的 寅月(M=1)
Result = (2 × 1 + 1) mod 10 = 3 // 丙 (正確)
3. 五鼠遁公式 (日 → 時)
五鼠遁的規律是：每過一日，子時的天干向後推移 2 位。
Target_Stem = (2 × D + H - 2) mod 10
// 安全性註解：若程式語言的 mod 回傳負數
// 建議寫法： ((2 * D + H - 2) % 10 + 10) % 10
// 驗證：乙日(D=2) 的 子時(H=1)
Result = (4 + 1 - 2) mod 10 = 3 // 丙 (正確)
修正項說明： 減 2 是為了修正相位差（Phase Shift）。因為五鼠遁從「甲」起，五虎遁從「丙」起，兩者在數學上剛好差了 2 個單位。
3. 核心真傳：日主強弱的量化標準
排完四柱後，第一件事不是看財官，而是「秤重量」。日主（我）的能量強弱，決定了你是能「駕馭」格局（身強），還是被格局「壓垮」（身弱）。
| 維度 | 權重 | 判定標準與真傳心法 |
|---|---|---|
|
1. 得時 (Season) |
50% |
決定性因素。日主出生在「生我」或「同我」的月令。 例如：甲木生於寅卯月(同)或亥子月(生)。 |
|
2. 得地 (Root) |
30% |
穩定度關鍵。日主在地支是否有「根」。 - 強根：如甲木見寅、卯。 - 弱根：如甲木見亥、辰、未。
*Tips: 所謂「根」即地支藏干。亥水雖屬水，但內藏甲木（中氣），故為木之根。
|
|
3. 得勢 (Support) |
20% |
外部勢力。天干透出比劫（朋友）或印星（長輩）。 *若地支無根，此為虛浮之氣，大難來時靠不住。 |
能量雷達圖 (Energy Radar)
日本流派習慣將強弱「數值化」。中和（圓形飽滿）為最貴。
▲ 示意圖：一個身強的命格（得時且得地）
重要觀念：日本命理認為，過強（大於80）或過弱（小於20）都是「病」，最好的命格是「中和」（約 40-60 分），這類人適應力最強。
不要執著於絕對的「身強」或「身弱」名詞。重點在於「能不能勝任財官」。
如果格局是「七煞格」（壓力極大），你需要身強來抗煞；但如果格局是「正印格」（貴人多），身稍微弱一點反而能享福（受生）。
Fate Mechanics: The True Transmission
1. The Machine Errs; The Mind Corrects
In the era of AI and automated chart plotting, learning the "Five Tigers Method" and "Five Rats Method" might seem redundant. However, as an advanced practitioner, mastering these algorithms is essential for two reasons:
- Debugging Capacity: Software often fails at edge cases like "Early/Late Rat Hour," "Daylight Saving Time," or "Solar Term transitions." Understanding the underlying logic allows you to spot anomalies instantly.
- Qi Transformation Logic: These formulas are not just memory mnemonics; they are the foundational logic of "Stem Combinations & Transformation". Without this, you cannot understand the source of Qi in special structures (Transformation Structures).
2. The Alchemical Reaction of Stems and Branches
Plotting a BaZi chart is essentially solving an equation. The Year Stem determines the Month Stem (Five Tigers), and the Day Stem determines the Hour Stem (Five Rats). Both algorithms follow the natural law: "Husband follows Wife's transformation; Child depends on Mother's birth."
(1) The Five Tigers Method (Deriving Month from Year)
The mnemonic: "Jia & Ji Years Start with Bing." Why Bing (Fire)?
1. Combination: Jia + Ji → Transforms into Earth
2. Generation: Fire produces Earth
3. Result: Thus, the Tiger Month (Start of Year) is led by Bing Fire.
This proves that the "Month Command" is the Qi generated after the Year Stem combination. Here is the full derivation table:
| Year Stems (Combo) | Transformed Qi | Generator | Tiger Month Stem (Start) |
|---|---|---|---|
| Jia Ji | Earth | Fire generates Earth | Bing Tiger (Fire) |
| Yi | Metal | Earth generates Metal | Wu Tiger (Earth) |
| Bing | Water | Metal generates Water | Tiger (Metal) |
| Ding Ren | Wood | Water generates Wood | Ren Tiger (Water) |
| Wu Gui | Fire | Wood generates Fire | Jia Tiger (Wood) |
(2) The Five Rats Method (Deriving Hour from Day)
The principle is similar. The relationship between the Day Stem and Hour Stem defines the daily Qi flow. The cycle starts with "Jia Wood" to mother the Fire (since Jia & Ji transform to Earth, requiring Fire, but the Rat Hour is the genesis of Yang, so we trace back to the Mother of Fire—Wood). This is "Reverse Inference," best memorized directly.
Mathematical Theory: Linear Congruence of Stems
For readers with a STEM background or those seeking absolute logic, we can prove that the "Five Tigers" and "Five Rats" methods are not mysticism, but precise "Linear Congruence Equations".
1. Variable Definition
First, we encode the Heavenly Stems numerically:
| Stem | Jia | Yi | Bing | Ding | Wu | Ji | Geng | Xin | Ren | Gui |
|---|---|---|---|---|---|---|---|---|---|---|
| Value (N) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10(0) |
2. Five Tigers Formula (Year → Month)
The pattern: For every passing year, the Tiger Month's Stem shifts backward by 2 positions.
Target_Stem = (2 × Y + M) mod 10
// Verification: Jia Year (Y=1), Tiger Month (M=1)
Result = (2 × 1 + 1) mod 10 = 3 // Bing (Correct)
3. Five Rats Formula (Day → Hour)
The pattern: For every passing day, the Rat Hour's Stem shifts backward by 2 positions.
Target_Stem = (2 × D + H - 2) mod 10
// Safety Note: If your language's mod returns negative
// Suggest: ((2 * D + H - 2) % 10 + 10) % 10
// Verification: Yi Day (D=2), Rat Hour (H=1)
Result = (4 + 1 - 2) mod 10 = 3 // Bing (Correct)
Note on Correction Term: The "-2" corrects the Phase Shift. Since Five Rats starts with "Jia" (1) and Five Tigers starts with "Bing" (3), there is a mathematical offset of 2 units.
3. Core Transmission: Quantifying Day Master Strength
After plotting the Four Pillars, the first step is not to look for Wealth or Officer stars, but to "Weigh the Energy". The strength of the Day Master (Self) determines whether you can "Command" the structure (Strong) or be "Crushed" by it (Weak).
| Dimension | Weight | Criteria & Insight |
|---|---|---|
|
1. Season (Command) |
50% |
The Decisive Factor. Born in a month that supports or equals the Self. Ex: Jia Wood born in Tiger/Rabbit (Same) or Pig/Rat (Resource). |
|
2. Root (Grounding) |
30% |
Stability Key. Does the Self have a "Root" in the Earthly Branches? - Strong Root: Jia seeing Tiger/Rabbit. - Weak Root: Jia seeing Pig/Dragon/Goat.
*Tips: "Root" refers to Hidden Stems. Pig (Water) contains hidden Jia Wood, acting as a root.
|
|
3. Support (Alliance) |
20% |
External Forces. Heavenly Stems showing Companion or Resource stars. *Without a Root, this is "Floating Qi"—unreliable during crises. |
Energy Radar Chart
Japanese schools quantify strength numerically. "Equilibrium" (a balanced circle) is considered the highest nobility.
▲ Diagram: A Strong Profile (Has Season & Root)
Key Concept: Extreme strength (>80) or extreme weakness (<20) is considered a "Sickness." The ideal chart is "Equilibrium" (approx. 40-60 score), indicating high adaptability.
Do not obsess over the absolute labels of "Strong" or "Weak." The core question is "Can you bear the burden of Wealth and Officer?"
If your structure is "Seven Killings" (High Pressure), you need Strength to resist. If it is "Direct Resource" (Noble Support), being slightly Weak allows you to receive blessings better.
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