THE SAME STRUCTURE, HEARD

The Acoustic Lattice

The same thirty-six decans, derived into sound. The visual register takes the planet's kamea and discards the grid, keeping only its order number as a count of sides. The acoustic register keeps the grid and traces it — the same path that draws the Agrippan sigil, read as melody.

THE ATOM FORMULA

Atom = the Chaldean ruler's melody · in the planetary mode of the triplicity-ascent Room lord · in the key of the sign lord's domain.

The Seats and Their Modes

Exaltation and fall always oppose, and therefore sit a tritone apart. The only mode in which both sound is the mode whose unique tritone they occupy. Eleven seats resolve uniquely; Virgo takes Lydian by pip testimony — so Locrian is seated by no lord.

PLANETSEATMODE
☉ SunLeoAeolian
☾ MoonCancerMixolydian
☿ MercuryGemini · VirgoDorian · Lydian
♀ VenusTaurus · LibraMixolydian · Ionian
♂ MarsAries · ScorpioDorian · Aeolian
♃ JupiterSagittarius · PiscesPhrygian · Mixolydian
♄ SaturnCapricorn · AquariusDorian · Aeolian

The Traveler's Melody

Trace 1 → n² through the planet's magic square; the column is the scale degree, n the meter, the row spent on register. The phrase span is constant, so density follows n² — Saturn deposits nine slow notes where the Moon deposits eighty-one fast ones.

TRAVELERNMETERNOTESMELODY
♄ Saturn33/49rotating ascent
♃ Jupiter44/416mirror
♂ Mars55/425rotating ascent
☉ Sun66/836broken — no symmetry
♀ Venus77/849rotating ascent
☿ Mercury88/864row and inversion
☾ Moon99/881rotating ascent

The Atoms, Sounded

Both registers, thirty-six each. The house register carries the Chaldean seam: for Gemini II rising exactly seven cells slip, contiguous from Aries I. Seam Atoms are marked ✧.

01 · Aries I ✧
♂ · C
02 · Aries II ✧
☉ · C
03 · Aries III ✧
♀ · C
04 · Taurus I ✧
☿ · C♯
05 · Taurus II ✧
☾ · C♯
06 · Taurus III ✧
♄ · C♯
07 · Gemini I ✧
♃ · D
08 · Gemini II
♂ · D
09 · Gemini III
☉ · D
10 · Cancer I
♀ · D♯
11 · Cancer II
☿ · D♯
12 · Cancer III
☾ · D♯
13 · Leo I
♄ · E
14 · Leo II
♃ · E
15 · Leo III
♂ · E
16 · Virgo I
☉ · F
17 · Virgo II
♀ · F
18 · Virgo III
☿ · F
19 · Libra I
☾ · F♯
20 · Libra II
♄ · F♯
21 · Libra III
♃ · F♯
22 · Scorpio I
♂ · G
23 · Scorpio II
☉ · G
24 · Scorpio III
♀ · G
25 · Sagittarius I
☿ · G♯
26 · Sagittarius II
☾ · G♯
27 · Sagittarius III
♄ · G♯
28 · Capricorn I
♃ · A
29 · Capricorn II
♂ · A
30 · Capricorn III
☉ · A
31 · Aquarius I
♀ · A♯
32 · Aquarius II
☿ · A♯
33 · Aquarius III
☾ · A♯
34 · Pisces I
♄ · B
35 · Pisces II
♃ · B
36 · Pisces III
♂ · B

The Words, Sounded

The key structures fall out of the compositions: the luminaries sound pure augmented triads, Mars and Jupiter the combined light, Venus, Mercury and Saturn the lightless hexachord. In the personal register every Word re-voices — the Atom is the only transposing unit; the Word is irreducibly personal.

01 · Spring Throne
C · C♯ · D
02 · Summer Throne
D♯ · E · F
03 · Autumn Throne
F♯ · G · G♯
04 · Winter Throne
A · A♯ · B
05 · Cardinal Mode
C · D♯ · F♯ · A
06 · Fixed Mode
C♯ · E · G · A♯
07 · Mutable Mode
D · F · G♯ · B
08 · Aries Cusp
C · B
09 · Aries Sign
C
10 · Taurus Cusp
C · C♯
11 · Taurus Sign
C♯
12 · Gemini Cusp
C♯ · D
13 · Gemini Sign
D
14 · Cancer Cusp
D · D♯
15 · Cancer Sign
D♯
16 · Leo Cusp
D♯ · E
17 · Leo Sign
E
18 · Virgo Cusp
E · F
19 · Virgo Sign
F
20 · Libra Cusp
F · F♯
21 · Libra Sign
F♯
22 · Scorpio Cusp
F♯ · G
23 · Scorpio Sign
G
24 · Sagittarius Cusp
G · G♯
25 · Sagittarius Sign
G♯
26 · Capricorn Cusp
G♯ · A
27 · Capricorn Sign
A
28 · Aquarius Cusp
A · A♯
29 · Aquarius Sign
A♯
30 · Pisces Cusp
A♯ · B
31 · Pisces Sign
B
32 · Fire Element
C · E · G♯
33 · Earth Element
C♯ · F · A
34 · Air Element
D · F♯ · A♯
35 · Water Element
D♯ · G · B
36 · Mars
C · D♯ · E · G · G♯ · B
37 · Venus
C♯ · D · F · F♯ · A · A♯
38 · Mercury
C♯ · D · F · F♯ · A · A♯
39 · Jupiter
C · D♯ · E · G · G♯ · B
40 · Saturn
C♯ · D · F · F♯ · A · A♯
41 · Sun
C · E · G♯
42 · Moon
D♯ · G · B

Still Open

SEAM CONCATENATION
Whether each traveler cell must end on the degree its successor opens with, sealing the handoff. Current renders use the plain trace.
PHRASE SPAN
The Atom specification states 7.2 seconds; the renders run 8.80. One of the two is stale.
V0.3 RATIFICATION
The Words canon is filed for ratification, not yet ratified.
Acoustic provenance record →