| Prime factorization
|
23 × 3
|
| Step size
|
166.096¢
|
| Octave
|
7\24ed10 (1162.67¢)
|
| Twelfth
|
11\24ed10 (1827.06¢)
|
| Consistency limit
|
4
|
| Distinct consistency limit
|
4
|
| Special properties
|
|
24ED10 is the equal division of the 10th harmonic into 24 parts of 166.0964 cents each. It is related to the sanjaab temperament, which tempers out 225/224, 275/273, 847/845, and 1331/1323 in the 13-limit.
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
0.0000
|
exact 1/1
|
|
| 1
|
166.0964
|
11/10
|
|
| 2
|
332.1928
|
63/52, 40/33
|
|
| 3
|
498.2892
|
4/3
|
|
| 4
|
664.3856
|
22/15
|
|
| 5
|
830.4820
|
21/13
|
|
| 6
|
996.5784
|
16/9
|
|
| 7
|
1162.6748
|
39/20, 88/45
|
|
| 8
|
1328.7712
|
28/13
|
|
| 9
|
1494.8676
|
64/27, 19/8
|
|
| 10
|
1660.9640
|
13/5, 60/23
|
|
| 11
|
1827.0605
|
66/23, 23/8
|
|
| 12
|
1993.1569
|
60/19, 256/81, 405/128, 19/6
|
|
| 13
|
2159.2533
|
52/15, 66/19, 80/23
|
|
| 14
|
2325.3497
|
88/23, 23/6, 50/13
|
|
| 15
|
2491.4461
|
21/5, 80/19, 135/32
|
|
| 16
|
2657.5425
|
88/19, 65/14
|
|
| 17
|
2823.6389
|
51/10, 46/9, 225/44
|
|
| 18
|
2989.7353
|
28/5, 45/8
|
|
| 19
|
3155.8317
|
68/11
|
|
| 20
|
3321.9281
|
34/5, 75/11
|
|
| 21
|
3488.0245
|
15/2
|
|
| 22
|
3654.1209
|
33/4
|
|
| 23
|
3820.2173
|
136/15, 100/11
|
|
| 24
|
3986.3137
|
exact 10/1
|
just major third plus three octaves
|