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Golden Horagram #07
#14 of The Wilson Scale Tree

1/3—2/7, levels 1 and 3
(2Phi+1)÷(7Phi+3)
0.295685999
= generator angle 106.4469596°
= generator interval 354.82 cents

RingL size
(cents)
s size
(cents)
RatioStep size
Order
7219.29 135.53PhiLsLsLss
10135.53 83.76PhisLLsLLsLLL
1783.76 51.77PhissLsLssLsLssLsLsL

Notes: The generator closely approximates 11:9 while its inversion more closely approximates 13:8. Lots of neutral tones. Most interlaced of the 7-tone golden scales.

Consonant Ratio Approximated·Ring 7
12:7-4c @ 929c [7:6] 1 
13:8+5c @ 845c [16:13] 6 
11:9+7c @ 355c = generator [18:11] 6 

horagram 7

Mature rings: 4, 10 on out
tree route


Modes (in cents)

Ring 7
110 Gold - Interlaced - Immature
 
0 219 355 574 710 929 1064
0 136 355 490 710 845  981
0 219 355 574 710 845 1064
0 136 355 490 626 845  981
0 219 355 490 710 845 1064
0 136 271 490 626 845  981
0 136 355 490 710 845 1064

data table

MIDI files
NYA

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