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Golden Horagram #4
#27 of The Wilson Scale Tree

1/2—2/5, levels 0 and 2
(2Phi+1)÷(5Phi+2)
= 0.419821271
= generator angle 151.1356578°
= generator interval 503.79 cents

RingL size
(cents)		 s size
(cents)		RatioStep size
Order
5311.36 192.43PhiLsLss
7192.43 118.93PhisLLsLLL
12118.93 73.50PhiLLsLsLLsLsLs

Notes: Kornerup's Golden Meantone, very close to quarter-comma.

Consonant Ratio Approximated·Ring 5·Ring 7
5:4-2c @ 385c [8:5] 1 3
6:5-4c @ 311c [5:3] 2 4
10:7+5c @ 623c [7:5] 0 1
4:3+6c @ 504c = generator [3:2] 4 6

horagram

Mature rings: 3, 7 on out
tree route

Modes (in cents)

Ring 5
110 Gold-Interlaced-Immature
 
0 311 504 815 1008
0 192 504 696  889
0 311 504 696 1008
0 192 385 696  889
0 192 504 696 1008

  

Ring 7
111 Gold-Interlaced-Mature
 
0 119 311 504 623 815 1008
0 192 385 504 696 889 1081
0 192 311 504 696 889 1008
0 119 311 504 696 815 1008
0 192 385 577 696 889 1081
0 192 385 504 696 889 1008
0 192 311 504 696 815 1008

data table

MIDI files
NYA

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