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Golden Horagram #13
#7 of The Wilson Scale Tree

1/4—2/9, levels 2 & 4
(2Phi+1)÷(9Phi+4)
= 0.228208068
= generator angle 82.15490448°
= generator interval 273.85 cents

RingL size
(cents)		 s size
(cents)		RatioStep size
Order
5273.85 104.601+PhiLLLLs
9169.25 104.60PhiLsLsLsLss
13104.60 64.65PhisLLsLLsLLsLLL
2264.65 39.95PhiLLsLsLLsLsLLsLsLs

Notes:

Consonant Ratio Approximated·Ring 5·Ring 9
11:8-4c @ 548c = 2 generations [16:11] 3 7
9:8+5c @ 209c [16:9] 0 1
7:6+7c @ 274c = generator [12:7] 4 8

horagram

Mature rings: 5, 13 on out
tree route

Modes (in cents)

Ring 5
001 Alloyed - GR - Mature
 
0 274 548 822 1095
0 274 548 822  926
0 274 548 652  926
0 274 378 652  926
0 105 378 652  926

  

Ring 9
110 Gold - Interlaced - Immature
 
0 169 274 443 548 717 822 991 1095
0 105 274 378 548 652 822 926 1031
0 169 274 443 548 717 822 926 1095
0 105 274 378 548 652 757 926 1031
0 169 274 443 548 652 822 926 1095
0 105 274 378 483 652 757 926 1031
0 169 274 378 548 652 822 926 1095
0 105 209 378 483 652 757 926 1031
0 105 274 378 548 652 822 926 1095

data table

MIDI files
Ring 13.5 - Ring 13.9

MP3 files
Ring 13.5 - Ring 13.9

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