16ed10

From Xenharmonic Wiki
Jump to navigation Jump to search

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