96ed7: Difference between revisions
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Created page with "'''Division of the 7th harmonic into 96 equal parts''' (96ed7) is related to the Carlos Gamma, but with the 7/1 rather than the 3/2 being just. The step size is ab..." Tags: Mobile edit Mobile web edit |
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Line 15: | Line 15: | ||
| | 1 | | | 1 | ||
| | 35.0919 | | | 35.0919 | ||
| | | | | [[50/49]], [[49/48]] | ||
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|- | |- | ||
| | 2 | | | 2 | ||
| | 70.1839 | | | 70.1839 | ||
| | 25/24 | | | [[25/24]] | ||
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| | 3 | | | 3 | ||
| | 105.2758 | | | 105.2758 | ||
| | | | | [[17/16]] | ||
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| | 7 | | | 7 | ||
| | 245.6436 | | | 245.6436 | ||
| | 144/125 | | | [[144/125]] | ||
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Line 70: | Line 70: | ||
| | 12 | | | 12 | ||
| | 421.1032 | | | 421.1032 | ||
| | | | | [[51/40]] | ||
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| | 17 | | | 17 | ||
| | 596.5629 | | | 596.5629 | ||
| | | | | [[24/17]] | ||
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| | 19 | | | 19 | ||
| | 666.7468 | | | 666.7468 | ||
| | | | | [[72/49]] | ||
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| | 23 | | | 23 | ||
| | 807.1145 | | | 807.1145 | ||
| | | | | 51/32 | ||
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| | 35 | | | 35 | ||
| | 1228.2178 | | | 1228.2178 | ||
| | | | | [[64/63|128/63]] | ||
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|- | |- | ||
| | 36 | | | 36 | ||
| | 1263.3097 | | | 1263.3097 | ||
| | 1296/625 | | | [[648/625|1296/625]] | ||
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|- | |- | ||
| | 37 | | | 37 | ||
| | 1298.4017 | | | 1298.4017 | ||
| | | | | [[18/17|36/17]] | ||
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|- | |- | ||
| | 38 | | | 38 | ||
| | 1333.4936 | | | 1333.4936 | ||
| | 54/25 | | | [[27/25|54/25]] | ||
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| | 49 | | | 49 | ||
| | 1719.5049 | | | 1719.5049 | ||
| | | | | [[27/20|27/10]] | ||
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| | 51 | | | 51 | ||
| | 1789.6888 | | | 1789.6888 | ||
| | | | | [[45/32|45/16]] | ||
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| | 55 | | | 55 | ||
| | 1930.0565 | | | 1930.0565 | ||
| | | | | [[32/21|64/21]] | ||
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| | 2631.8952 | | | 2631.8952 | ||
| | | | | [[32/7]] | ||
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| | | | | [[48/35|192/35]] | ||
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| | 3017.9065 | | | 3017.9065 | ||
| | | | | [[10/7|40/7]] | ||
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|- | |- | ||
| | 87 | | | 87 | ||
| | 3052.9985 | | | 3052.9985 | ||
| | 35/6 | | | [[35/24|35/6]] | ||
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| | 3298.6420 | | | 3298.6420 | ||
| | | | | 168/25 | ||
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| | 95 | | | 95 | ||
| | 3333.7340 | | | 3333.7340 | ||
| | | | | [[12/7|48/7]] | ||
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|- | |- |
Revision as of 14:10, 4 January 2019
Division of the 7th harmonic into 96 equal parts (96ed7) is related to the Carlos Gamma, but with the 7/1 rather than the 3/2 being just. The step size is about 35.0919 cents, similar to every fifth step of 171edo.
degree | cents value | corresponding JI intervals |
comments |
---|---|---|---|
0 | 0.0000 | exact 1/1 | |
1 | 35.0919 | 50/49, 49/48 | |
2 | 70.1839 | 25/24 | |
3 | 105.2758 | 17/16 | |
4 | 140.3677 | ||
5 | 175.4597 | ||
6 | 210.5516 | ||
7 | 245.6436 | 144/125 | |
8 | 280.7355 | ||
9 | 315.8274 | 6/5 | |
10 | 350.9194 | ||
11 | 386.0113 | 5/4 | |
12 | 421.1032 | 51/40 | |
13 | 456.1952 | 125/96 | |
14 | 491.2871 | ||
15 | 526.3790 | ||
16 | 561.4710 | ||
17 | 596.5629 | 24/17 | |
18 | 631.6549 | 36/25 | |
19 | 666.7468 | 72/49 | |
20 | 701.8387 | 3/2 | |
21 | 736.9307 | ||
22 | 772.0226 | 25/16 | |
23 | 807.1145 | 51/32 | |
24 | 842.2065 | ||
25 | 877.2984 | ||
26 | 912.3903 | ||
27 | 947.4823 | 216/125 | |
28 | 982.5742 | ||
29 | 1017.6662 | 9/5 | |
30 | 1052.7581 | ||
31 | 1087.8500 | 15/4 | |
32 | 1122.9420 | ||
33 | 1158.0339 | 125/64 | |
34 | 1193.1258 | ||
35 | 1228.2178 | 128/63 | |
36 | 1263.3097 | 1296/625 | |
37 | 1298.4017 | 36/17 | |
38 | 1333.4936 | 54/25 | |
39 | 1368.5855 | ||
40 | 1403.6775 | 9/4 | |
41 | 1438.7694 | ||
42 | 1473.8613 | 225/96 | |
43 | 1508.9533 | ||
44 | 1544.0452 | ||
45 | 1579.1371 | ||
46 | 1614.2291 | ||
47 | 1649.3210 | ||
48 | 1684.4130 | ||
49 | 1719.5049 | 27/10 | |
50 | 1754.5968 | ||
51 | 1789.6888 | 45/16 | |
52 | 1824.7807 | ||
53 | 1859.8726 | ||
54 | 1894.9646 | ||
55 | 1930.0565 | 64/21 | |
56 | 1965.1484 | 28/9 | |
57 | 2000.2404 | ||
58 | 2035.3323 | ||
59 | 2070.4243 | ||
60 | 2105.5162 | ||
61 | 2140.6081 | ||
62 | 2175.7001 | ||
63 | 2210.7920 | ||
64 | 2245.8839 | ||
65 | 2280.9759 | 28/15 | |
66 | 2316.0678 | ||
67 | 2351.1597 | 35/9 | |
68 | 2386.2517 | ||
69 | 2421.3436 | ||
70 | 2456.4356 | ||
71 | 2491.5275 | ||
72 | 2526.6194 | ||
73 | 2961.7114 | ||
74 | 2596.8033 | 112/25 | |
75 | 2631.8952 | 32/7 | |
76 | 2666.9872 | 14/3 | |
77 | 2702.0791 | ||
78 | 2737.1710 | 175/36 | |
79 | 2772.2630 | ||
80 | 2807.3549 | ||
81 | 2842.4469 | ||
82 | 2877.5388 | ||
83 | 2912.6307 | ||
84 | 2947.7227 | 192/35 | |
85 | 2982.8146 | 28/5 | |
86 | 3017.9065 | 40/7 | |
87 | 3052.9985 | 35/6 | |
88 | 3088.0904 | ||
89 | 3123.1824 | ||
90 | 3158.2743 | ||
91 | 3193.3662 | ||
92 | 3228.4582 | ||
93 | 3263.5501 | ||
94 | 3298.6420 | 168/25 | |
95 | 3333.7340 | 48/7 | |
96 | 3368.8259 | exact 7/1 | harmonic seventh plus two octaves |