16ed10

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16ED10 is the equal division of the 10th harmonic into 16 parts of 249.1446 cents each. It is related to the hemigari temperament, which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by 29edo and 53edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 249.1446 38/33, 15/13, 52/45, 22/19
2 498.2892 4/3
3 747.4338 20/13, (17/11)
4 996.5784 16/9
5 1245.7230 80/39
6 1494.8676 64/27, 19/8
7 1744.0122 30/11, 11/4
8 1993.1569 60/19, 256/81, 405/128, 19/6
9 2242.3015 40/11, 11/3
10 2491.4461 21/5, 80/19, 135/32
11 2740.5907 39/8
12 2989.7353 28/5, 45/8
13 3238.8799 13/2
14 3488.0245 15/2
15 3737.1691 95/11, 26/3
16 3986.3137 exact 10/1 just major third plus three octaves