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Golden Horagram #17
#1 of The Wilson Scale Tree

0/1—1/7, levels 0 & 5
(1Phi+0)÷(7Phi+1)
= 0.131267463
= generator angle 47.25628668°
= generator interval 157.52 cents

RingL size
(cents)		 s size
(cents)		RatioStep Size
Order
 5569.92 157.522+PhissssL
 6412.40 157.521+PhisssssL
 7254.87 157.52PhissssssL
 8157.52 97.35PhiLLLLLLLs
1597.35 60.17PhisLsLsLsLsLsLsLL

Notes: Smallest generator through level 5. The scales of Rings 5 & 6 are improper, and are subsets of the Ring 7 scale.

Consonant Ratio Approximated·Ring 7·Ring 8
6:5-1c @ 315c = 2 generations [5:3] 5 6
11:7+5c @ 788c = 5 generations [14:11] 2 3
11:6-7c @ 1042c [12:11] 6 7

horagram

Mature rings: 8 on out
tree route

Modes (in cents)

Ring 7
100 Gold - GR - Immature
 
0 158 315 473 630 788  945
0 158 315 473 630 788 1042
0 158 315 473 630 885 1042
0 158 315 473 727 885 1042
0 158 315 570 727 885 1042
0 158 412 570 727 885 1042
0 255 412 570 727 885 1042

  

Ring 8
101 Gold - GR - Mature
 
0 158 315 473 630 788 945 1103
0 158 315 473 630 788 945 1042
0 158 315 473 630 788 885 1042
0 158 315 473 630 727 885 1042
0 158 315 473 570 727 885 1042
0 158 315 412 570 727 885 1042
0 158 255 412 570 727 885 1042
0  97 255 412 570 727 885 1042

data table

MIDI files
Ring 17.7 - Ring 17.8

MP3 files
Ring 17.7 - Ring 17.8

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