87edo/13-limit detempering

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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