87edo/13-limit detempering
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< 87edo
In this table, "Difference in Cents" indicates whether the 87-edo interval is flat (negative) or sharp (positive) of the detempered interval. For example, 15 steps, at 206.90 ¢, corresponds to 9/8 and is about 3 cents sharp.
# | Cents | Detempered Interval |
Difference in cents |
---|---|---|---|
0 | 0.00 | 1/1 | 0.00 |
1 | 13.79 | 91/90 | −5.34 |
2 | 27.59 | 49/48 | −8.11 |
3 | 41.38 | 40/39 | −2.45 |
4 | 55.17 | 28/27 | −7.79 |
5 | 68.97 | 25/24 | −1.71 |
6 | 82.76 | 21/20 | −1.71 |
7 | 96.55 | 35/33 | −5.31 |
8 | 110.34 | 16/15 | −1.39 |
9 | 124.14 | 14/13 | −4.16 |
10 | 137.93 | 13/12 | −0.64 |
11 | 151.72 | 12/11 | +1.09 |
12 | 165.52 | 11/10 | +0.51 |
13 | 179.31 | 10/9 | −3.09 |
14 | 193.10 | 28/25 | −3.10 |
15 | 206.90 | 9/8 | +2.99 |
16 | 220.69 | 25/22 | −0.62 |
17 | 234.48 | 8/7 | +3.31 |
18 | 248.28 | 15/13 | +0.53 |
19 | 262.07 | 7/6 | −4.80 |
20 | 275.86 | 75/64 | +1.28 |
21 | 289.66 | 13/11 | +0.45 |
22 | 303.45 | 25/21 | +1.60 |
23 | 317.24 | 6/5 | +1.60 |
24 | 331.03 | 40/33 | −2.01 |
25 | 344.83 | 11/9 | −2.58 |
26 | 358.62 | 16/13 | −0.85 |
27 | 372.41 | 26/21 | +2.67 |
28 | 386.21 | 5/4 | −0.11 |
29 | 400.00 | 44/35 | +3.82 |
30 | 413.79 | 14/11 | −3.71 |
31 | 427.59 | 32/25 | +0.21 |
32 | 441.38 | 9/7 | +6.30 |
33 | 455.17 | 13/10 | +0.96 |
34 | 468.97 | 21/16 | −1.82 |
35 | 482.76 | 33/25 | +2.11 |
36 | 496.55 | 4/3 | −1.49 |
37 | 510.34 | 35/26 | −4.27 |
38 | 524.14 | 27/20 | +4.59 |
39 | 537.93 | 15/11 | +0.98 |
40 | 551.72 | 11/8 | +0.41 |
41 | 565.52 | 18/13 | +2.13 |
42 | 579.31 | 7/5 | −3.20 |
43 | 593.10 | 45/32 | +2.88 |
44 | 606.90 | 64/45 | −2.88 |
45 | 620.69 | 10/7 | +3.20 |
46 | 634.48 | 13/9 | −2.13 |
47 | 648.28 | 16/11 | −0.41 |
48 | 662.07 | 22/15 | −0.98 |
49 | 675.86 | 40/27 | −4.59 |
50 | 689.66 | 52/35 | +4.27 |
51 | 703.45 | 3/2 | +1.49 |
52 | 717.24 | 50/33 | −2.11 |
53 | 731.03 | 32/21 | +1.82 |
54 | 744.83 | 20/13 | −0.96 |
55 | 758.62 | 14/9 | −6.30 |
56 | 772.41 | 25/16 | −0.21 |
57 | 786.22 | 11/7 | +3.71 |
58 | 800.00 | 35/22 | −3.82 |
59 | 813.79 | 8/5 | +0.11 |
60 | 827.59 | 21/13 | −2.67 |
61 | 841.38 | 13/8 | +0.85 |
62 | 855.17 | 18/11 | +2.58 |
63 | 868.97 | 33/20 | +2.01 |
64 | 882.76 | 5/3 | −1.60 |
65 | 896.55 | 42/25 | −1.60 |
66 | 910.34 | 22/13 | −0.45 |
67 | 924.14 | 75/44 | +0.87 |
68 | 937.93 | 12/7 | +4.80 |
69 | 951.72 | 26/15 | −0.53 |
70 | 965.52 | 7/4 | −3.31 |
71 | 979.31 | 44/25 | +0.62 |
72 | 993.10 | 16/9 | −2.99 |
73 | 1006.90 | 25/14 | +3.10 |
74 | 1020.69 | 9/5 | +3.09 |
75 | 1034.48 | 20/11 | −0.51 |
76 | 1048.28 | 11/6 | −1.09 |
77 | 1062.07 | 24/13 | +0.64 |
78 | 1075.86 | 13/7 | +4.16 |
79 | 1089.66 | 15/8 | +1.39 |
80 | 1103.45 | 66/35 | +5.31 |
81 | 1117.24 | 21/11 | −2.22 |
82 | 1131.03 | 25/13 | −1.07 |
83 | 1144.83 | 27/14 | +7.79 |
84 | 1158.62 | 39/20 | +2.45 |
85 | 1172.41 | 55/28 | +3.61 |
86 | 1186.21 | 99/50 | +3.61 |
87 | 1200.00 | 2/1 | 0.00 |