23edf

Revision as of 00:00, 17 July 2018 by Wikispaces>FREEZE

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)