23edf

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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)