24edf

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← 23edf24edf25edf →
Prime factorization 23 × 3
Step size 29.2481¢
Octave 41\24edf (1199.17¢)
(convergent)
Twelfth 65\24edf (1901.13¢)
(convergent)
Consistency limit 16
Distinct consistency limit 7
Special properties

Division of the just perfect fifth into 24 equal parts (24EDF) is related to 41 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 29.2481 cents. It is consistent to the 16-integer-limit.

Lookalikes: 41edo, 65edt, 95ed5

Intervals

Cents Value Approximate Ratios in the 11-limit
0 1/1
1 29.2481 81/80
2 58.49625 25/24, 28/27, 33/32
3 87.7444 21/20, 22/21
4 116.9925 16/15, 15/14
5 146.2406 12/11
6 175.48875 10/9, 11/10
7 204.7369 9/8
8 233.985 8/7
9 263.2331 7/6, 32/25
10 292.48125 32/27
11 321.7293 6/5
12 350.9775 11/9,27/22
13 380.2256 5/4
14 409.47375 14/11, 81/64
15 438.7219 9/7
16 467.97 21/16
17 497.2181 4/3
18 526.46625 15/11, 27/20
19 556.7144 11/8
20 584.9625 7/5
21 614.2106 10/7
22 643.45875 16/11
23 671.7069 22/15, 40/27
24 701.955 3/2
25 731.2031 32/21
26 760.45125 14/9, 25/16
27 789.6994 11/7, 128/81
28 818.9475 8/5
29 848.1956 18/11, 44/27
30 877.44375 5/3
31 906.6919 27/16
32 935.94 12/7
33 965.1881 7/4
34 994.43625 16/9
35 1023.6844 9/5, 20/11
36 1052.9325 11/6
37 1082.1806 15/8
38 1111.42875 40/21, 21/11
39 1140.6769 48/25, 27/14, 64/33
40 1169.925 160/81
41 1199.1731 2/1
42 1228.42125 81/40
43 1257.6694 25/12, 56/27, 33/16
44 1286.9175 21/10, 44/21
45 1316.1656 32/15, 15/7
46 1345.41375 24/11
47 1374.6619 20/9, 11/5
48 1403.91 9/4