Formulas

Every formula, one page each

Each entry gives the mathematical form, what it solves, and whether it is astronomy, a fixed classical rule, or our own model. Same source as the method page.

All formulas

Astronomy and calendar

Sixty pairs = solutions of two congruences

Ten stems and twelve branches allow 120 pairings, but only…

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Fixed classical rule

Year pillar = two residue phases

A year reduced modulo 10 and modulo 12 gives the two phase…

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Astronomy and calendar

Twenty-four terms = ecliptic marks

Solar terms mark the sun every 15 degrees of ecliptic long…

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Astronomy and calendar

Equation of time

The gap between true and mean solar time, swinging within …

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Our own model

True solar time (hour and, across midnight, the date)

Longitude offset plus the equation of time. A correction u…

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Astronomy and calendar

Five phases = a five-element cyclic group

The five phases are not five parallel nouns but a cyclic g…

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Fixed classical rule

Ten gods = 5 × 2

Same as me, I generate, generates me, controls me, I contr…

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Our own model

Balance = normalised Shannon entropy

The entropy is 1 when the five phases are perfectly even a…

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Our own model

Strength of the day master: a soft threshold

A sigmoid turns an on or off decision into a probability: …

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Fixed classical rule

Start of the luck cycle: three days to a year

The classical conversion, three days to one year, produces…

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Our own model

Pillar stepping: ten places per decade

Each step advances ten places on the sixty-term cycle, so …

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Our own model

Annual phase

Maps the sixty-year cycle onto a phase angle from 0 to 2 p…

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Our own model

Domain score: position weighting

Every life domain is scored separately, weighted by pillar…

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Fixed classical rule

Structure type, then the useful element

Most charts take the useful element from the ordinary stro…

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Our own model

Three layers: base / effort / fusion

Every chart gets three readings that never mix: the base l…

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Our own model

Overall score: trimmed mean minus shortfall

The overall score first drops the top and bottom 20 percen…

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Our own model

Current period: five weighted layers

Period effects are weighted by layer; the current two-hour…

Open