11ed10

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This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

← 10ed10 11ed10 12ed10 →
Prime factorization 11 (prime)
Step size 362.392 ¢ 
Octave 3\11ed10 (1087.18 ¢)
Twelfth 5\11ed10 (1811.96 ¢)
(semiconvergent)
Consistency limit 3
Distinct consistency limit 3

11ED10 is the equal division of the 10th harmonic into 11 parts of 362.3922 cents each. It is related to the submajor temperament, which tempers out 169/168, 225/224, 275/273, and 385/384 in the 13-limit.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 362.3922 16/13
2 724.7843 32/21, 55/36
3 1087.1765 15/8
4 1449.5686 30/13
5 1811.9608 20/7
6 2174.3529 7/2
7 2536.7451 13/3
8 2899.1372 16/3
9 3261.5294 72/11
10 3623.9216 65/8
11 3986.3137 exact 10/1 just major third plus three octaves