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Golden Horagram #3
#6 of The Wilson Scale Tree

0/11/4, levels 0 and 2
(1Phi+0)÷(4Phi+1)
0.216542364
= generator angle 77.95525104°
= generator interval 259.85 cents

RingL size
(cents)
s size
(cents)
RatioStep size
Order
5259.85 160.60PhiLLLLs
9160.60 99.25PhisLsLsLsLL
1499.25 61.34PhiLLsLLsLLsLLsLs
2361.34 37.91PhisLsLLsLsLLsLsLLsLsLLsLL

Notes: Converges on gold very early, at ring 4.

Consonant Ratio ApproximatedRing 5Ring 9
13:8+0c @ 841c [16:13] 0 3
10:7+1c @ 619c [7:5] 0 2
11:7-3c @ 780c = 3 generations [14:11] 2 6
5:3-6c @ 879c [6:5] 0 1
7:6-7c @ 260c = generator [12:7] 4 8

horagram 3

Mature rings: 5 on out
tree route


Modes (in cents)

Ring 5
101 Gold - GR - Mature
 
0 260 520 780 1039
0 260 520 780  940
0 260 520 680  940
0 260 420 680  940
0 161 420 680  940

  

Ring 9
111 Gold - Interlaced - Mature
 
0  99 260 359 520 619 780 879 1039
0 161 260 420 520 680 780 940 1101
0  99 260 359 520 619 780 940 1039
0 161 260 420 520 680 841 940 1101
0  99 260 359 520 680 780 940 1039
0 161 260 420 581 680 841 940 1101
0  99 260 420 520 680 780 940 1039
0 161 321 420 581 680 841 940 1101
0 161 260 420 520 680 780 940 1039

data table

MIDI files
Ring 3.5 - Ring 3.9

MP3 files
Ring 3.5 - Ring 3.9

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