61ed7: Difference between revisions

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Created page with "'''Division of the 7th harmonic into 61 equal parts''' (61ed7) is related to the alphaquarter temperament, which tempers out 3025/3024, 400..."
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Revision as of 00:10, 26 January 2019

Division of the 7th harmonic into 61 equal parts (61ed7) is related to the alphaquarter temperament, which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 edo.

degree cents value corresponding
JI intervals 		comments
0 0.0000 exact 1/1
1 55.2267 33/32
2 110.4533 16/15
3 165.6800 11/10
4 220.9066 25/22
5 276.1333 88/75
6 331.3599 40/33
7 386.5866 5/4
8 441.8132 (49/38)
9 497.0399 4/3
10 552.2665 11/8
11 607.4932 (91/64), 64/45
12 662.7199 22/15
13 717.9465 50/33
14 773.1732 25/16
15 828.3998
16 883.6265 5/3
17 938.8531 55/32
18 994.0798 16/9
19 1049.3064 11/6
20 1104.5331
21 1159.7597
22 1214.9864
23 1270.2130 25/12
24 1325.4397
25 1380.6664 20/9
26 1435.8930 55/24
27 1491.1197
28 1546.3463
29 1601.5730 63/25
30 1656.7996
31 1712.0263
32 1767.2529 25/9
33 1822.4796
34 1877.7062
35 1932.9329
36 1988.1596
37 2043.3862 88/27
38 2098.6129 84/25
39 2153.8395
40 2209.0662 (68/19)
41 2264.2928 100/27
42 2319.5195 42/11
43 2374.7461 63/16
44 2429.9728 (57/14), 224/55, 110/27
45 2485.1994 21/5
46 2540.4261 (13/3)
47 2595.6527
48 2650.8794
49 2706.1061 105/22
50 2761.3327 (64/13)
51 2816.5594 56/11
52 2871.7860 21/4
53 2927.0127 (38/7)
54 2982.2393 28/5
55 3037.4660 (52/9)
56 3092.6926
57 3147.9193 (80/13)
58 3203.1459 70/11
59 3258.3726 105/16
60 3313.5993 (88/13)
61 3368.8259 exact 7/1 harmonic seventh plus two octaves
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