15ed7: Difference between revisions

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'''[[Ed7|Division of the 7th harmonic]] into 15 equal parts''' (15ed7) is related to the [[Ragismic microtemperaments|supermajor temperament]], which tempers out 4375/4374 and 52734375/52706752. The step size is about 224.5884 cents, corresponding to 5.3431 [[edo]].
'''[[Ed7|Division of the 7th harmonic]] into 15 equal parts''' (15ed7) is related to the [[Ragismic microtemperaments|supermajor temperament]], which tempers out 4375/4374 and 52734375/52706752. The step size is about 224.5884 cents, corresponding to 5.3431 [[edo]].



Revision as of 20:29, 5 October 2022

← 14ed7 15ed7 16ed7 →
Prime factorization 3 × 5
Step size 224.588 ¢ 
Octave 5\15ed7 (1122.94 ¢) (→ 1\3ed7)
Twelfth 8\15ed7 (1796.71 ¢)
Consistency limit 3
Distinct consistency limit 3

Division of the 7th harmonic into 15 equal parts (15ed7) is related to the supermajor temperament, which tempers out 4375/4374 and 52734375/52706752. The step size is about 224.5884 cents, corresponding to 5.3431 edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 224.5884
2 449.1768 35/27
3 673.7652
4 898.3536 42/25
5 1122.9420 21/11, 44/23
6 1347.5304 98/45
7 1572.1188 119/48
8 1796.7072 48/17
9 2021.2955 45/14
10 2245.8839 11/3
11 2470.4723 25/6
12 2695.0607
13 2919.6491 27/5
14 3144.2375
15 3368.8259 exact 7/1 harmonic seventh plus two octaves