61edo

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61edo refers to the equal division of 2/1 ratio into 61 equal parts, of 19.6721 cents each.

61edo provides the optimal patent val for the freivald (24&37) temperament in the 7-, 11- and 13-limit.

61edo is the 18th prime edo, after of 59edo and before of 67edo.

Poem

These 61 equal divisions of the octave,

though rare are assuredly a ROCK-tave (har har),

while the 3rd and 5th harmonics are about six cents sharp,

(and the flattish 15th poised differently on the harp),

the 7th and 11th err by less, around three,

and thus mayhap, a good orgone tuning found to be;

slightly sharp as well, is the 13th harmonic's place,

but the 9th and 17th lack near so much grace,

interestingly the 19th is good but a couple cents flat,

and the 21st and 23rd are but a cent or two sharp!

Script error: No such module "primes_in_edo".

Intervals

# Cents
0 0.000
1 19.672
2 39.344
3 59.016
4 78.689
5 98.361
6 118.033
7 137.705
8 157.377
9 177.049
10 196.721
11 216.393
12 236.066
13 255.738
14 275.410
15 295.082
16 314.754
17 334.426
18 354.098
19 373.770
20 393.443
21 413.115
22 432.787
23 452.459
24 472.131
25 491.803
26 511.475
27 531.148
28 550.820
29 570.492
30 590.164
31 609.836
32 629.508
33 649.180
34 668.852
35 688.525
36 708.197
37 727.869
38 747.541
39 767.213
40 786.885
41 806.557
42 826.230
43 845.902
44 865.574
45 885.246
46 904.918
47 924.590
48 944.262
49 963.934
50 983.607
51 1003.279
52 1022.951
53 1042.623
54 1062.295
55 1081.967
56 1101.639
57 1121.311
58 1140.984
59 1160.656
60 1180.328
61 1200.000