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Golden Horagram #21
#8 of The Wilson Scale Tree

1/4—3/13, levels 2 & 5
(3Phi+1)÷(13Phi+4)
= 0.23384192
= generator angle 84.1830912°
= generator interval 280.61 cents

RingL size
(cents)		 s size
(cents)		RatioStep size
Order
 5280.61 77.562+PhiLLLLs
 9203.05 77.561+PhiLsLsLsLss
13125.49 77.56PhiLssLssLssLsss
1777.56 47.93PhisLLLsLLLsLLLsLLLL

Notes:

Consonant Ratio Approximated·Ring 5·Ring 9
9:7+1c @ 436c [14:9] 0 2
9:8-1c @203c [16:9] 0 4
13:8+1c @ 842c = 3 generations [16:13] 2 6
11:8-4c @ 1045c [12:11] 0 1

horagram

Mature rings: 5, 17 on out
tree route

Modes (in cents)

Ring 5
001 Alloyed - GR - Mature
 
0 281 561 842 1122
0 281 561 842  919
0 281 561 639  919
0 281 358 639  919
0  78 358 639  919

  

Ring 9
010i Alloyed - Interlaced - Immature, and Improper
 
0 203 281 484 561 764 842 1045 1122
0  78 281 358 561 639 842  919  997
0 203 281 484 561 764 842  919 1122
0  78 281 358 561 639 716  919  997
0 203 281 484 561 639 842  919 1122
0  78 281 358 436 639 716  919  997
0 203 281 358 561 639 842  919 1122
0  78 155 358 436 639 716  919  997
0  78 281 358 561 639 842  919 1122

data table

MIDI files
Ring 21.5 - Ring 21.9

MP3 files
Ring 21.5 - Ring 21.9

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