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Golden Horagram #24
#24 of The Wilson Scale Tree

2/57/18, levels 2 & 5
(7Phi+2)÷(18Phi+5)
0.390516909
= generator angle 140.58608725°
= generator interval 468.62 cents

RingL size
(cents)
s size
(cents)
RatioStep size
Order
5262.76 205.861+(1/(2+Phi))sLsLL
8205.86 56.902+PhiLLsLLsLs
13148.96 56.901+PhiLsLssLsLssLss

Notes: One of only two horagrams to which Wilson and I assign the same number. The other one is #28.

Consonant Ratio ApproximatedRing 5Ring 8
9:8+2c @ 206c [16:9] 2 5
12:7+3c @ 937c = 2 generators [7:6] 3 6
5:3-4c @ 880c [6:5] 0 1
11:7+6c @ 788c [14:11] 0 2

horagram

Mature rings: 3, 5, 8; 23 on out
tree route


Modes (in cents)

Ring 5
011 Alloyed - Interlaced - Mature
 
0 206 469 674 937
0 263 469 731 994
0 206 469 731 937
0 263 526 731 994
0 263 469 731 937

  

Ring 8
011i Alloyed - Interlaced - Mature - Improper
 
0 206 412 469 674 880 937 1143
0 206 263 469 674 731 937  994
0  57 263 469 526 731 788  994
0 206 412 469 674 731 937 1143
0 206 263 469 526 731 937  994
0  57 263 320 526 731 788  994
0 206 263 469 674 731 937 1143
0  57 263 469 526 731 937  994

data table

MIDI files
NYA

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