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Golden Horagram #15
#26 of The Wilson Scale Tree

2/5—5/12, levels 2 & 4
(5Phi+2)÷(12Phi+5)
= 0.413253661
= generator angle 148.771318°
= generator interval 495.90 cents

RingL size
(cents)		 s size
(cents)		RatioStep size
Order
 5287.71 208.193-PhiLsLss
 7208.19 79.521+PhisLLsLLL
12128.67 79.52PhissLsLssLsLsL

Notes: Generator is very near pure fourth, so scales are near Pythagorean.

Consonant Ratio Approximated·Ring 5·Ring 7
11:7+1c @ 784c [14:11] 1 3
4:3-2c @496c = generator [3:2] 4 6
9:8+4c @ 208c [16:9] 3 5

horagram

Mature rings: 3, 7, 17 on out
tree route

Modes (in cents)

Ring 5
000 Alloyed - GR - Immature
 
0 288 496 784 992
0 208 496 704 912
0 288 496 704 992
0 208 416 704 912
0 208 496 704 992

  

Ring 7
011i Alloyed - Interlaced - Mature - Improper
 
0  80 288 496 575 784  992
0 208 416 496 704 912 1120
0 208 288 496 704 912  992
0  80 288 496 704 784  992
0 208 416 625 704 912 1120
0 208 416 496 704 912  992
0 208 288 496 704 784  992

data table

MIDI files
NYA

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