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.
| 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
|
| Degrees
|
Hexadecatonic
|
ed23\32
|
63ed4
|
ed5/3
|
ed23\31
|
| 1
|
D
|
37.5
|
38.0952
|
38.4504
|
38.7097
|
| 2
|
D#/Eb
|
Dp/E\\
|
75
|
76.1905
|
76.9008
|
77.41935
|
| 3
|
E
|
112.5
|
114.2857
|
115.3511
|
116.129
|
| 4
|
F
|
150
|
152.38095
|
153.8015
|
154.8387
|
| 5
|
F#/Gb~0b
|
Fp/G\\~0\\
|
187.5
|
190.4762
|
192.2519
|
193.5484
|
| 6
|
G~0
|
225
|
228.5714
|
230.7023
|
233.2581
|
| 7
|
1
|
252.5
|
266.6667
|
269.15235
|
270.9678
|
| 8
|
1#/2b
|
1p/2\\
|
300
|
304.7619
|
307.603
|
309.6774
|
| 9
|
2
|
337.5
|
342.8571
|
346.0534
|
348.3871
|
| 10
|
3
|
375
|
380.9524
|
384.5038
|
387.0968
|
| 11
|
3#/4(b)
|
3p\4(//)
|
412.5
|
419.0476
|
422.9542
|
425.80645
|
| 12
|
4(#)/5b
|
4(p)/5\\
|
450
|
457.1429
|
461.40455
|
464.5161
|
| 13
|
5
|
487.5
|
495.2381
|
499.8549
|
503.2258
|
| 14
|
6
|
525
|
533.3333
|
538.3053
|
541.9355
|
| 15
|
6#/7b
|
6p/7\\
|
562.5
|
571.4286
|
576.7557
|
580.6452
|
| 16
|
7
|
600
|
609.5238
|
615.2061
|
619.3548
|
| 17
|
8
|
637.5
|
647.61905
|
653.6564
|
658.0645
|
| 18
|
8#/9b
|
8p/9\\
|
675
|
685.7143
|
692.1068
|
696.7742
|
| 19
|
9
|
712.5
|
723.8095
|
730.5572
|
735.4939
|
| 20
|
A
|
750
|
761.9048
|
769.0076
|
774.19355
|
| 21
|
A#/Bb
|
Ap\B\\
|
787.5
|
800
|
807.45795
|
812.9132
|
| 22
|
B
|
825
|
838.0952
|
845.9083
|
851.6129
|
| 23
|
C
|
862.5
|
876.1905
|
884.3587
|
890.3226
|