23edf
Twenty-three equal divisions of the perfect fifth (23ed3/2)
Rank 1 scale with step size of 30.52 cents.
Close to 39ed2 and/or 62ed3, however, the respective
octave and twelfth would need to be nearly 10 cents flat.
A proponent of this scale is Petr Pařízek.
Some intervals in table below, selected on the basis of
single-use of primes (for most cases):
Step | Size
(cents) |
Approx.
(JI) ratio |
Error from
ratio (cents) |
19 | 579.9 | 7/5 | –2.6¢ |
23 | 702 | 3/2 | |
24 | 732.5 | 29/19 | +0.4¢ |
29 | 885.1 | 5/3 | +0.7¢ |
31 | 946.1 | 19/11 | –0.1¢ |
35 | 1068 | 13/7 | –3.5¢ |
46 | 1404 | 9/4 | |
48 | 1465 | 7/3 | –1.9¢ |
52 | 1587 | 5/2 | +0.7¢ |
55 | 1679 | 29/11 | +0.3¢ |
58 | 1770 | 25/9 | +1.4¢ |
71 | 2167 | 7/2 | –1.9¢ |
–Todd Harrop (June 2015)