23edf

← 22edf

23edf

24edf →

Prime factorization	23 (prime)
Step size	30.5198 ¢
Octave	39\23edf (1190.27 ¢)
Twelfth	62\23edf (1892.23 ¢)
Consistency limit	3
Distinct consistency limit	3

23EDF is the equal division of the just perfect fifth into 23 parts of 30.5198 cents each, corresponding to 39.3188 edo (similar to every third step of 118edo).

Properties

23EDF is close to 39EDO 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¢

1	30.5198
2	61.0296
3	91.55935
4	122.0791
5	152.5989
6	183.1187
7	213.6385
8	244.1583
9	274.678
10	305.1978
11	335.7176
12	366.2374
13	396.7572
14	427.277
15	457.7967
16	488.3165
17	518.8363
18	549.3561
19	579.8759
20	610.39565
21	640.9154
22	671.4352
23	701.955
24	732.4748
25	762.9946
26	793.51435
27	824.0341
28	854.5539
29	885.0737
30	915.5935
31	946.1133
32	976.633
33	1007.1529
34	1037.6726
35	1068.1924
36	1098.7122
37	1129.232
38	1159.7517
39	1190.2715
40	1220.7913
41	1251.3111
42	1281.8309
43	1312.35065
44	1342.8704
45	1373.3902
46	1403.91

–Todd Harrop (June 2015)