| Prime factorization
|
23 (prime)
|
| Step size
|
82.6937¢
|
| Octave
|
15\23edt (1240.41¢)
|
| Fifth
|
8\23edt (661.55¢)
|
| Semitones (A1:m2)
|
-4:5 (-330.8¢ : 413.5¢)
|
| Dual sharp fifth
|
9\23edt (744.243¢)
|
| Dual flat fifth
|
8\23edt (661.55¢)
|
| Dual major 2nd
|
2\23edt (165.387¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
23EDT is the equal division of the third harmonic into 23 parts of 82.6937 cents each, corresponding to 14.5114 edo (similar to every second step of 29edo).
| degree
|
cents value
|
hekts
|
corresponding JI intervals
|
comments
|
| 0
|
exact 1/1
|
|
| 1
|
82.6937
|
56.522
|
150/143
|
|
| 2
|
165.3874
|
113.0435
|
11/10
|
|
| 3
|
248.0811
|
169.565
|
15/13
|
|
| 4
|
330.7748
|
226.087
|
23/19
|
|
| 5
|
413.4685
|
282.609
|
33/26, 80/63
|
|
| 6
|
496.1622
|
339.13
|
(4/3)
|
|
| 7
|
578.8559
|
395.652
|
88/63, 95/68
|
pseudo-7/5
|
| 8
|
661.5496
|
452.174
|
63/43
|
|
| 9
|
744.2433
|
508.696
|
135/88
|
|
| 10
|
826.937
|
565.217
|
50/31, 408/253, 129/80, 108/67
|
|
| 11
|
909.6307
|
621.739
|
(27/16)
|
pseudo-5/3
|
| 12
|
992.3243
|
678.261
|
(16/9)
|
|
| 13
|
1075.018
|
734.783
|
93/50, 253/136, 80/43, 67/36
|
|
| 14
|
1157.7117
|
791.304
|
88/45
|
|
| 15
|
1240.4054
|
847.826
|
43/21
|
|
| 16
|
1323.0991
|
904.348
|
189/88, 204/95
|
|
| 17
|
1405.7928
|
960.87
|
(9/4)
|
|
| 18
|
1488.4865
|
1017.391
|
26/11, 189/80
|
pseudo-7/3
|
| 19
|
1571.1802
|
1073.913
|
57/23
|
|
| 20
|
1653.8739
|
1130.435.
|
13/5
|
|
| 21
|
1736.5676
|
1186.9565
|
30/11
|
|
| 22
|
1819.2613
|
1243.478
|
143/50
|
|
| 23
|
1901.9550
|
1300
|
exact 3/1
|
just perfect fifth plus an octave
|