| Prime factorization
|
23 (prime)
|
| Step size
|
38.4504 ¢
|
| Octave
|
31\23ed5/3 (1191.96 ¢)
|
| Twelfth
|
49\23ed5/3 (1884.07 ¢)
|
| Consistency limit
|
5
|
| Distinct consistency limit
|
5
|
23ed5/3 is the equal division of the just major sixth into 23 parts of 38.4504 cents each, corresponding to 31.2091edo. It is very closely related to the slender temperament.
| Degrees
|
Hexadecatonic
|
Cents
|
| 1
|
D
|
38.4504
|
| 2
|
D#/Eb
|
Dp/E\\
|
76.9008
|
| 3
|
E
|
115.3511
|
| 4
|
F
|
153.8015
|
| 5
|
F#/Gb~0b
|
Fp/G\\~0\\
|
192.2519
|
| 6
|
G~0
|
230.7023
|
| 7
|
1
|
269.15235
|
| 8
|
1#/2b
|
1p/2\\
|
307.603
|
| 9
|
2
|
346.0534
|
| 10
|
3
|
384.5038
|
| 11
|
3#/4(b)
|
3p\4(//)
|
422.9542
|
| 12
|
4(#)/5b
|
4(p)/5\\
|
461.40455
|
| 13
|
5
|
499.8549
|
| 14
|
6
|
538.3053
|
| 15
|
6#/7b
|
6p/7\\
|
576.7557
|
| 16
|
7
|
615.2061
|
| 17
|
8
|
653.6564
|
| 18
|
8#/9b
|
8p/9\\
|
692.1068
|
| 19
|
9
|
730.5572
|
| 20
|
A
|
769.0076
|
| 21
|
A#/Bb
|
Ap\B\\
|
807.45795
|
| 22
|
B
|
845.9083
|
| 23
|
C
|
884.3587
|