| Prime factorization
|
23 × 3
|
| Step size
|
140.368¢
|
| Octave
|
9\24ed7 (1263.31¢) (→3\8ed7)
|
| Twelfth
|
14\24ed7 (1965.15¢) (→7\12ed7)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
| Special properties
|
|
Division of the 7th harmonic into 24 equal parts (24ed7) is related to the quanic temperament, which tempers out 352/351, 540/539, 729/728, and 1331/1323 in the 13-limit; 352/351, 442/441, 540/539, 561/560, and 715/714 in the 17-limit. The step size is about 140.3677 cents, corresponding to 8.5490 edo.
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
0.0000
|
exact 1/1
|
|
| 1
|
140.3677
|
13/12, 25/23
|
|
| 2
|
280.7355
|
20/17
|
|
| 3
|
421.1032
|
14/11, 65/51, 51/40, 23/18, 32/25
|
|
| 4
|
561.4710
|
18/13
|
|
| 5
|
701.8387
|
3/2
|
|
| 6
|
842.2065
|
13/8, 80/49
|
|
| 7
|
982.5742
|
30/17
|
|
| 8
|
1122.9420
|
21/11
|
|
| 9
|
1263.3097
|
56/27, 27/13
|
|
| 10
|
1403.6775
|
9/4
|
|
| 11
|
1544.0452
|
56/23, 39/16, 22/9, 120/49
|
|
| 12
|
1684.4130
|
119/45, 45/17
|
|
| 13
|
1824.7807
|
63/22, 112/39, 23/8
|
|
| 14
|
1965.1484
|
28/9
|
|
| 15
|
2105.5162
|
91/27, 27/8
|
|
| 16
|
2245.8839
|
11/3
|
|
| 17
|
2386.2517
|
119/30, 143/36
|
|
| 18
|
2526.6194
|
56/13
|
|
| 19
|
2666.9872
|
14/3
|
|
| 20
|
2807.3549
|
91/18
|
|
| 21
|
2947.7227
|
11/2
|
|
| 22
|
3088.0904
|
119/20
|
|
| 23
|
3228.4582
|
84/13
|
|
| 24
|
3368.8259
|
exact 7/1
|
harmonic seventh plus two octaves
|
Music
- Ambient Esoterica