How Nayin Is Derived
Distinguish the reproducible Nayin lookup from historical pitch-pipe, number, and cosmological derivations without claiming one explanation is universally exclusive.
Overview
Operationally, Nayin is derived by locating an exact Jiazi in a received correspondence table. Classical discussions connect the system with pitches, rotating modes, numbers, and Five-Phase cosmology, but their explanatory routes are not a single modern algorithm. A careful page distinguishes the stable mapping from competing historical rationales.
At a glance
- Operational method
- Exact Jiazi table lookup
- Historical frame
- Pitch and Five-Phase cosmology
- Explanations
- Multiple received derivations
- Stable output
- Pair, image, and phase
- Validation
- Compare against a full canonical table
- Boundary
- Do not invent a simplified formula
Start with the reproducible operation
Verify the calendrical Jiazi, then match it against the canonical sixty-entry table and return the associated Nayin pair, image, and phase.
This operation is deterministic once the pillar and table edition are fixed.
- Store the input Jiazi and matched row.
- Test all sixty entries, not only examples.
Classical texts explain the mapping cosmologically
San Ming Tong Hui discusses Nayin through sixty pitches and rotating musical modes within a Five-Phase framework.
Other received explanations emphasize numbers or different cosmological sequences, so the historical account should name its source rather than claim universal consensus.
- Cite the passage behind each derivation.
- Label later reconstructions as reconstructions.
Validate any shortcut against the complete table
A mnemonic or formula is useful only if it reproduces every valid Jiazi-to-Nayin mapping without changing character order or cycle position.
Partial demonstrations can conceal failures at the boundaries of a xun or phase sequence.
- Run a sixty-row parity check.
- Reject formulas that silently normalize invalid pairs.
Derivation does not prove modern causation
Explaining how a historical classification was organized does not establish a physical mechanism or measurable causal force.
Clarify presents the derivation as cultural and technical history, separate from professional or scientific claims.
- Distinguish historical logic from empirical evidence.
- Avoid scientific-sounding causal language.
Sources and editorial basis
- 《三命通會》 (Sanming Tonghui)《三命通會》卷一納音法：收錄律呂相生、干支數、五音相生等多種歷史推導，並非只存一套說法A historical compilation covering stems and branches, Ten Gods, Nayin, Shen Sha, and multiple classical pattern systems.
- 《五行大義》 (Essential Meanings of the Five Phases)《五行大義》卷一納音數：以五行生數、干支數及音律配合解釋納音所屬A systematic historical synthesis of Five Phases correspondences and relationships.
- Clarify Editorial Methodology納音推導頁並列可定位的歷史解釋，明示傳承差異，不把後設推導冒充現代科學證明Clarify separates deterministic chart calculation, traditional interpretation, and modern editorial explanation.