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Golden Horagram #29
#13 of The Wilson Scale Tree

2/7—5/17, levels 3 & 5
(5Phi+2)÷(17Phi+7)
= 0.292412942
= generator angle 105.2686591°
= generator interval 350.90 cents

RingL size
(cents)		 s size
(cents)		RatioStep size
Order
7203.58 147.313-PhiLsLsLss
10147.31 56.271+PhisLLsLLsLLL
1791.04 56.27PhissLsLssLsLssLsLsL

Notes: Generator is a neutral 3rd at almost exactly half a pure 3:2. Many close approximations to consonant ratios.

Consonant Ratio Approximated·Ring 7
3:2-0c @ 702c = 2 generations [4:3] 5
9:8-0c @ 204c [16:9] 3
11:6+3c @ 1053c = 3 generations [12:11] 4
11:9+3c @ 351c = generator [18:11] 6
11:8+3c @ 554c [16:11] 2

horagram

Mature rings: 4, 10, 24 on out
tree route

Modes (in cents)

Ring 7
010 Alloyed - Interlaced - Immature
 
0 204 351 554 702 905 1053
0 147 351 498 702 849  996
0 204 351 554 702 849 1053
0 147 351 498 646 849  996
0 204 351 498 702 849 1053
0 147 295 498 646 849  996
0 147 351 498 702 849 1053

data table

MIDI files
NYA

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