The Operator's Codex · companion to the engine

Field Guide

How to read the serpent · formulas to pop into the fields

A quick reference for casting NATORI-ON-PSYFR: the workflow, the vocabulary, a cookbook of copy-ready operations, and answers to the questions that come up first. Tap any formula to copy it, then paste into the engine's Custom operation field.

§1 · Quick Start

Cast in four moves

Seed your anchors

In The Oracle, add two or more anchor dates — type them in, or scroll to The Ledger and hit seed ⚓ on any documented event. Two anchors is the minimum; more anchors = more interval pairs to project from.

Choose your operations

The 19-Operation Pack loads by default. Swap it for a themed pack (138, 19 Metonic, Phoenix Lattice, Golden) with the violet buttons, or paste your own from the cookbook below.

Cast the Oracle

Press ⟳ Cast the Oracle. Every anchor-pair interval is run through every operation, and each projected date is scored against the chronology. Switch the scoring lens (V8 / V7) to re-rank live.

Read the agreement

Scroll to The Convergence — where several independent operations land on the same date. That agreement is the real signal. Click any result to read it on The Wheels.

The one habit that matters

After a cast, hit ✦ NOVEL ONLY to hide the ECHO rows (projections that just land back on an input). What remains are the dates the chronology didn't already hand you — that's where the discoveries live.

§2 · The Vocabulary

Seven words to know

X-Date

An anchor — a known date you feed the engine. Every cast needs at least two.

Y · the interval

The number of axial rotations (days) between a pair of X-Dates. Counting turns of the Earth, not years — the Archaix way.

Operation

An equation that transforms Y into a day-offset. Always begins X1+ or X2+.

Z-Date

A projected date — the output. Offset applied to X1 or X2, then read across every calendar.

Echo

A Z-Date that lands back on an input anchor (±1 day). A confirmation, not a discovery — dimmed and tagged.

Convergence

When several different operations agree on one date. The strongest signal in the whole instrument.

MSRF

The resonance number-set (138, 831, 19 …). A projection whose interval or offset matches one scores extra.

§3 · The Formula Cookbook

Operations to pop into the field

Tap any formula to copy it, then paste into the engine's Custom operation box and press + Operation. Every one below is validated against the grammar — none will throw an error. Y is the interval in days.

Isometric the baseline — the same interval, again

X2+oph_round(Y)
The Isometric Date. Project the exact interval forward from the later anchor — the simplest Archaix projection.
X1+Y
The same interval forward from the earlier anchor.

Mirror · Palindrome oph_flip reverses the digits

X2+oph_flip(oph_round(Y))
The Holo-mirror. Reverse the interval's digits and project — the palindromic heart of the engine.
X1+oph_flip(oph_round(Y))
Same mirror, projected from the earlier anchor.
X1+oph_flip(oph_round(Y/OPH_PHI))
The golden mirror — divide by φ first, then reflect. A recursive favourite.
X2+oph_flip(Y)+19
Mirror the interval, then seal it with a Metonic 19.

The 138 Lattice the Phoenix number

X2+oph_round(Y/138)*138
Snap to the 138-grid. Round the interval to the nearest whole Phoenix-count, then project.
X2+Y+138
One Phoenix number (138 days) beyond the isometric date.
X2+Y*138/100
Scale the interval by 1.38.
X1+oph_round(Y/414)*414
Snap to 414 — 138 × 3, the "cursed time" multiple.

The 19 Metonic the moon's gear

X1+oph_round(Y/19)*19
Snap to the 19-grid. Round the interval to the nearest 19-multiple.
X2+Y+19
A Metonic 19 beyond the isometric date.
X1+Y*19/10
Scale the interval by 1.9.
X2+oph_round(Y/6940)*6940
Snap to whole Metonic cycles — 19 years ≈ 6,940 days, 235 lunations.

Golden · Pi · Curvature OPH_PHI 1.618 · OPH_PI 3.14 · OPH_CRV 5.08

X2+Y/OPH_PHI
Golden division. The interval ÷ φ.
X1+Y*OPH_PHI
Golden expansion — the interval × φ.
X1+(Y/2)*OPH_PI
The pi half-arc — half the interval, swept by π.
X2+Y/OPH_CRV
Divide by the curvature constant, 5.08.
X2+oph_round(Y/OPH_PHI/OPH_PHI)
Divide by φ² — a tighter golden step.

Cycle Snaps lock onto the great wheels

X2+oph_round(Y/792)*792
Snap to 792 — the Nemesis number.
X1+oph_round(Y/600)*600
Snap to 600 — the Anunnaki NER.
X2+Y*360/365.2422
Reframe the interval into the 360-day Draconian year — the pre-Flood orbit.
§4 · The Grammar & Constants

What's legal in an operation

Three rules: it must start with X1+ or X2+; it may use only Y, numbers, the constants, the oph_ functions, and arithmetic + − * / ( ); and it must evaluate to a number. Anything else is rejected.

TokenMeaning
X1 / X2The earlier / later anchor of the pair. Your equation begins with one of them, plus an offset.
YThe interval between the two anchors, in days (axial rotations).
OPH_PHIGolden ratio — 1.61803398875
OPH_PIArchaix π — 3.14
OPH_CRVThe curvature constant — 5.08
oph_flip(n)Reverse the digits — 138 → 831, 19 → 91. The palindrome maker.
oph_round(n)Nearest whole day. Use it to keep offsets clean.
oph_floor / oph_ceilRound down / up to a whole day.
oph_abs / oph_sqrtAbsolute value / square root (of the absolute value).

Tip: a bare x between terms is read as multiply, the same as *. So X2+YxOPH_PI and X2+Y*OPH_PI are identical.

§5 · Reading the Resonance

What the tags mean

Each projected date earns tags for what it lands on. The score is their sum, weighted by your chosen lens.

Phoenix Nodemod 138 = 108. The date sits exactly on the Phoenix reset lattice — the heaviest chronological hit.
DocumentedThe projected year is a recorded event in the Chronicon ledger.
Palindrome ⮌The year, the Annus Mundi count, or the Julian day reads the same both ways.
138The digits 138 appear in the year, AM, or Long-Count.
19The digits 19 appear in the year or AM.
Metonic·19The date is a whole number of 19-year cycles from today — same moon phase.
MSRFThe interval or offset matches a resonance number (138, 792, 831, 19 …).
☉ SolarA real solar eclipse fell within ±1 day (data covers ~1–3000 CE).
☾ LunarA real lunar eclipse fell within ±1 day.
EchoLands back on an input anchor — a confirmation, not a new date.
§6 · Worked Examples

Three casts, start to finish

Real results from the default engine — follow along and you'll see the same numbers.

① The 2040 Convergence
Anchors: Great Flood · Phoenix 2040 · Today  |  Pack: Default 19  |  Lens: V8
  1. Open the engine — these three anchors load by default.
  2. Press ⟳ Cast the Oracle.
  3. Scroll to The Convergence and set the window to Same year.
  4. Back in the results, click the ECLIPSE filter.
What you'll see

A strength-4 convergence on 2040 — four independent operations, from two different anchor pairs, all land on the Phoenix year. That agreement is the signal.

And the eclipse filter lights up two projections sitting on the documented cataclysm: 15 May 2040 on a total lunar eclipse (score 11) and 10 May 2040 on a partial solar (score 12). The engine found that the Phoenix date carries a real eclipse.

② The deep past names a modern event
Anchors: Nemesis Cataclysm (5239 BC) · Great Flood (2239 BC)  |  Pack: Default 19  |  Lens: V8  |  Filter: ✦ Novel only
  1. Remove the three default anchors (the ✕ on each).
  2. In The Ledger, hit seed ⚓ on the Nemesis Cataclysm and the Great Flood.
  3. Cast, then click ✦ NOVEL ONLY.
What you'll see

The operation X2+Y*138/100 projects onto 1902 CE (score 11) — a Phoenix node that is also a documented event (Charles Fort's "other Dark Age"). The two oldest cataclysms, scaled by 1.38, point straight at a recorded modern Phoenix year.

You'll also notice the engine re-deriving the Flood itself nearby — a confirmation the chronology is internally consistent.

③ Numbers vs history — flip the lens
Anchors: the three defaults  |  Pack: Default 19  |  Filter: ✦ Novel only
  1. Cast with the V8 lens and note the top novel row.
  2. Click V7 · Numbers-first — the table re-scores instantly.
What you'll see

Under V8, the top novel projection is 10 May 2040 (score 12) — a Phoenix node, documented, on a solar eclipse. History wins.

Flip to V7 and the ranking inverts to 1 June 2026 (score 6) — a date that wears 138 and aligns Metonically. The numbers win. Same cast, two different questions.

§7 · FAQ

Questions that come up first

Why do my top results all say ECHO?

Because one of your anchors is reproducible by the operations. If you seed 2040 and an operation projects right back onto 2040, that's an echo — true, but circular. It's the engine confirming its own input.

Hit ✦ NOVEL ONLY to hide echoes, or remove the anchor that's being re-derived and re-cast to hunt for genuinely new convergences.

What's the difference between the V8 and V7 scoring lenses?

V8 · Chronology-first (default) rewards landing on the real timeline — Phoenix nodes and documented events score highest. Use it to ask "which projections resonate with history?"

V7 · Numbers-first lets the sacred numbers lead — 138 in the digits, palindromes, and MSRF outrank a documented cataclysm. Use it to ask "which projections resonate with the signatures?" The same cast can rank completely differently under each.

What does convergence "strength" mean, and which window should I use?

Strength is the number of distinct operations that independently landed in the same window. Strength 4 means four different equations agree — far stronger than any single high-scoring projection.

Start at ± 30 days. Tighten to exact day for the rarest coincidences; widen to Same year to see which years the whole pack points at. Wider windows find more (and looser) agreement.

Why don't BC dates get eclipse tags?

The precomputed eclipse tables cover roughly 1–3000 CE. Projections outside that range simply carry no eclipse tag — the engine degrades gracefully rather than guessing. Most future-facing casts (2040, 2046 …) are well inside coverage.

Are the dates actually correct per the Chronicon?

Yes — the date engine was verified against every known Archaix anchor before release: today reads AM 5920 / LC 5138, the Great Flood lands on AM 1656, Petrie's survey year on AM 5776, and all 24 Phoenix events sit exactly on the 138-lattice (mod 138 = 108). The šar is reckoned as a turning of the stars — a day — per Breshears.

Can I save a setup and reuse it?

Yes. ⤓ Save .json writes your whole cast — anchors, operations, scoring lens, and convergence window — to a file. ⤒ Load reads one back. It's the same portable model as the original Ophis .oph files, so you can keep a 138-pack, a 19-pack, and a Phoenix-pack as named configurations and share them.

How do I read a result on the calendars?

Click any row in the results or convergence table, or any ledger entry. The date is sent to The Wheels, where all seven reckonings re-read that moment — Phoenix, Nemesis, NER, Annus Mundi, Mayan Long-Count, Anunna turnings, and the Metonic moon. You can also drag the dial directly.

Is this asserting the model as science?

No. This is a worldbuilding and study instrument that renders Jason Breshears' Archaix thesis as living predictive calendrics. The chronology, the šar-as-day reckoning, and the cycle lattice are presented as that thesis — not as established archaeology. Deep-past conversions are cycle-true rather than historically observed.

Nothing happens when I cast — what's wrong?

You need at least two active anchors (the ✓ box lit) and at least one active operation. If the results are empty after a cast, the filter may be too tight — click ALL, or widen the convergence window. The engine also skips intervals over ~3,000,000 days and projections outside roughly 5400 BC – 4000 CE.

Keyboard & reading

Tab moves between every control; Space or Enter toggles the ✓ checkboxes and buttons. The ☾/☀ switch flips light/dark (it follows your system on first visit), and A− / A / A+ scales everything — both remembered between sessions. Reduced-motion settings are honoured.