34edf

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Division of the just perfect fifth into 34 equal parts (34EDF) is related to 58 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents compressed and the step size is about 20.6457 cents (corresponding to 58.1234 edo). The patent val has a generally flat tendency for harmonics up to 16, with the exception for 5. Unlike 58edo, it is only consistent up to the 15-integer-limit, with discrepancy for the 16th harmonic (four octaves).

Lookalikes: 58edo, 92edt

Intervals

Degree Cents Approx. ratios
0 1/1
1 20.6457 56/55, 64/63, 81/80, 128/125
2 41.2915 6/35, 49/48, 50/49, 55/54
3 61.9372 25/24, 26/25, 27/26, 28/27, 33/32
4 82.5829 21/20, 22/21
5 103.2287 16/15, 17/16, 18/17
6 123.8744 15/14, 14/13
144.52015 12/11, 13/12
8 165.1659 11/10
9 185.8116 10/9
10 206.45735 9/8
11 227.1031 8/7
12· 248.7488 15/13
13 268.3946 7/6
14 289.0403 13/11, 20/17
15 309.686 6/5
16 330.3318 17/14
17· 350.9775 11/9, 16/13
18 371.6232 21/17
19 392.269 5/4
20 412.9147 14/11
21 433.5604 9/7
22· 455.2062 13/10, 17/13, 22/17
23 474.8519 21/16
24 495.49765 4/3
25 516.1434 27/20
26 536.7891 15/11
27 557.43485 11/8, 18/13
28 578.0806 7/5
29 598.7263 17/12, 24/17
30 619.3721 10/7
31 640.0178 13/9, 16/11
32 660.6635 22/15
33 681.3093 40/27
34 701.955 3/2
35 722.6007 32/21
36 743.2465 20/13, 26/17, 17/11
37 763.8922 14/9
38 784.5379 11/7
39 805.1837 8/5
40 825.8294 34/21
41 846.47515 13/8, 18/11
42 867.1209 28/17
43 887.7666 5/3,
44 908.41235 22/13, 17/10
45 929.0581 12/7
46 949.7038 26/15
47 970.35 7/4
48 990.9952 16/9
49 1011.641 9/5
50 1032.32868 20/11
51 1052.9235 11/6, 24/13
52 1073.5782 28/15, 13/7
53 1094.224 15/8, 32/17, 17/9
54 1114.8697 40/21, 21/11
55 1135.5154 48/25, 25/13, 52/27, 27/14, 64/33
56 1156.1612 35/18, 96/49, 49/25, 108/55
57 1176.8069 55/28, 63/32, 160/81, 125/64
58 1197.45265 2/1
59 1218.0984 112/55, 128/63, 81/40, 256/125
60 1238.7441 72/35, 49/24, 100/49, 55/27
61 1259.38985 25/12, 52/25, 27/13, 56/27, 33/16
62 1280.0356 21/10, 44/21
63 1300.6813 32/15, 17/8, 36/17
64 1321.3271 15/7, 28/13
65 1341.9728 24/11, 13/5
66 1362.6185 11/10
67 1383.3643 20/9
68 1403.91 9/4