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Golden Horagram #12
#18 of The Wilson Scale Tree

1/34/11, levels 1 & 4
(4Phi+1)÷(11Phi+3)
0.359265393
= generator angle 129.3355413°
= generator interval 431.12 cents

RingL size
(cents)
s size
(cents)
RatioStep size
Order
 5337.76 93.362+PhisLsLL
 8244.40 93.361+PhissLssLsL
11151.04 93.36PhisssLsssLssL

Notes:

Consonant Ratio ApproximatedRing 5Ring 8
7:5-1c @ 582c [10:7] 0 1
9:7-3c @ 431c = generator [14:9] 4 7
10:9+5c @ 187c [9:5] 0 2

horagram

Mature rings: 3, 5, 14 on out
tree route


Modes (in cents)

Ring 5
011i Alloyed - Interlaced - Mature - Improper
 
0  93 431 524  862
0 338 431 769 1107
0  93 431 769  862
0 338 676 769 1107
0 338 431 769  862

  

Ring 8
010i Alloyed - Interlaced - Immature - Improper
 
0  93 187 431 524 618  862  956
0  93 338 431 524 769  862 1107
0 244 338 431 676 769 1013 1107
0  93 187 431 524 769  862  956
0  93 338 431 676 769  862 1107
0 244 338 582 676 769 1013 1107
0  93 338 431 524 769  862  956
0 244 338 431 676 769  862 1107

data table

MIDI files
NYA

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