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Golden Horagram #02
#11 of The Wilson Scale Tree

0/1—1/3, levels 0 and 1
(1Phi+0)÷(3Phi+1)
0.276393202
= generator angle 99.50155272°
= generator interval 331.67 cents

RingL size
(cents)
s size
(cents)
RatioStep size
Order
7204.98 126.69PhisLsLsLL
11126.69 78.30PhiLLsLLsLLsLs
1878.30 48.39PhisLsLLsLsLLsLsLLsLL

Notes: Converges on Gold extremely early, at ring 3.
The scale on ring 7 is deeply Golden, yet closely approximates no simple consonances.

Consonant Ratio Approximated·Ring 7
9:8+1c @ 205c [16:9] 4
13:7+2c @ 1073c [14:13] 3

horagram

Mature rings: 4 on out
tree route


Modes (in cents)

Ring 7
111 Gold - Interlaced - Mature
 
0 127 332 458 663 790  995
0 205 332 537 663 868 1073
0 127 332 458 663 868  995
0 205 332 537 742 868 1073
0 127 332 537 663 868  995
0 205 410 537 742 868 1073
0 205 332 537 663 868  995

data table

MIDI files
NYA

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