| Prime factorization
|
24
|
| Step size
|
249.145¢
|
| Octave
|
5\16ed10 (1245.72¢)
|
| Twelfth
|
8\16ed10 (1993.16¢) (→1\2ed10)
|
| Consistency limit
|
4
|
| Distinct consistency limit
|
2
|
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
|