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Golden Horagram #8
#19 of The Wilson Scale Tree

1/3—3/8, levels 1 and 3
(3Phi+1)÷(8Phi+3)
= 0.367160193
= generator angle 132.1776695°
= generator interval 440.59 cents

RingL size
(cents)		 s size
(cents)		RatioStep size
Order
 5318.82 121.781+PhisLsLL
 8197.04 121.78PhissLssLsL
11121.78 75.26PhiLLLsLLLsLLs
1975.26 46.51PhisLsLsLLsLsLsLLsLsLL

Notes:

Consonant Ratio Approximated·Ring 5·Ring 8
5:3-3c @ 881c = two generators [6:5] 3 6
9:7+6c @ 441c = the generator [14:9] 4 7
13:7+6c @ 1078c [14:13] 2 5
9:8-7c @ 197c [16:8] 0 3

horagram

Mature rings: 3, 5, 11 on out
tree route

Modes (in cents)

Ring 5
011i Alloyed - Interlaced - Mature - Improper
 
0 122 441 562  881
0 319 441 759 1078
0 122 441 759  881
0 319 638 759 1078
0 319 441 759  881

  

Ring 8
110 Gold - Interlaced - Immature
 
0 122 244 441 562 684 881 1003
0 122 319 441 562 759 881 1078
0 197 319 441 638 759 956 1078
0 122 244 441 562 759 881 1003
0 122 319 441 638 759 881 1078
0 197 319 516 638 759 956 1078
0 122 319 441 562 759 881 1003
0 197 319 441 638 759 881 1078

data table

MIDI files
NYA

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