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..." Tags: Mobile edit Mobile web edit |
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Revision as of 11:20, 23 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 | ||
6 | 331.3599 | ||
7 | 386.5866 | 5/4 | |
8 | 441.8132 | ||
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 | ||
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 | ||
27 | 1491.1197 | ||
28 | 1546.3463 | ||
29 | 1601.5730 | ||
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 |