User:Contribution/JI intervals approximated by 87edt
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87edt divides the tritave in 87 equal steps and the octave in 54.890889 equal steps of 21.861552 cents each. Its 31-limit patent val is <55 87 127 154 190 203 224 233 248 267 272|.
| Factorization | Ratio | Value (¢) | FJS | Nearest degree |
Value (¢) | Error (¢) | Error (%) | Consistency | Consistent degree |
Value (¢) | Error (¢) | Error (%) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
1/1
|
0
|
P1
|
0
|
0
|
0
|
0
|
CONSISTENT
|
0
|
0
|
0
|
0
| |
3-5⋅51⋅72
|
245/243
|
14.190522
|
m25,7,7
|
1
|
21.861552
|
7.671029
|
35.089134
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-64.910866
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
87.446207
|
-0.229948
|
-1.051836
|
CONSISTENT
|
4
|
87.446207
|
-0.229948
|
-1.051836
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
131.169310
|
7.457119
|
34.110657
|
CONSISTENT
|
6
|
131.169310
|
7.457119
|
34.110657
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
131.169310
|
-2.068264
|
-9.460740
|
INCONSISTENT
|
7
|
153.030862
|
19.793287
|
90.539260
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
153.030862
|
5.602765
|
25.628395
|
CONSISTENT
|
7
|
153.030862
|
5.602765
|
25.628395
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
196.753966
|
-4.779599
|
-21.863037
|
CONSISTENT
|
9
|
196.753966
|
-4.779599
|
-21.863037
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
240.477069
|
1.306499
|
5.976242
|
CONSISTENT
|
11
|
240.477069
|
1.306499
|
5.976242
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
240.477069
|
-7.263984
|
-33.227211
|
CONSISTENT
|
11
|
240.477069
|
-7.263984
|
-33.227211
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
13
|
284.200173
|
6.609517
|
30.233523
|
CONSISTENT
|
13
|
284.200173
|
6.609517
|
30.233523
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
13
|
284.200173
|
-5.009547
|
-22.914873
|
CONSISTENT
|
13
|
284.200173
|
-5.009547
|
-22.914873
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
14
|
306.061724
|
4.215204
|
19.281357
|
INCONSISTENT
|
13
|
284.200173
|
-17.646348
|
-80.718643
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
16
|
349.784828
|
2.376887
|
10.872454
|
CONSISTENT
|
16
|
349.784828
|
2.376887
|
10.872454
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
17
|
371.646379
|
-9.332248
|
-42.687950
|
INCONSISTENT
|
18
|
393.507931
|
12.529303
|
57.312050
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
20
|
437.231035
|
2.146939
|
9.820618
|
CONSISTENT
|
20
|
437.231035
|
2.146939
|
9.820618
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
21
|
459.092586
|
9.817969
|
44.909752
|
INCONSISTENT
|
20
|
437.231035
|
-12.043583
|
-55.090248
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
25
|
546.538793
|
9.588021
|
43.857916
|
INCONSISTENT
|
24
|
524.677242
|
-12.273531
|
-56.142084
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
26
|
568.400345
|
0.078675
|
0.359878
|
INCONSISTENT
|
27
|
590.261897
|
21.940227
|
100.359878
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
27
|
590.261897
|
7.749704
|
35.449013
|
CONSISTENT
|
27
|
590.261897
|
7.749704
|
35.449013
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
27
|
590.261897
|
-6.440818
|
-29.461853
|
CONSISTENT
|
27
|
590.261897
|
-6.440818
|
-29.461853
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
28
|
612.123449
|
3.771462
|
17.251575
|
CONSISTENT
|
28
|
612.123449
|
3.771462
|
17.251575
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
29
|
633.985000
|
5.265320
|
24.084839
|
CONSISTENT
|
29
|
633.985000
|
5.265320
|
24.084839
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
29
|
633.985000
|
-2.632660
|
-12.042419
|
CONSISTENT
|
29
|
633.985000
|
-2.632660
|
-12.042419
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
31
|
677.708104
|
7.519757
|
34.397176
|
CONSISTENT
|
31
|
677.708104
|
7.519757
|
34.397176
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
32
|
699.569655
|
4.753774
|
21.744908
|
CONSISTENT
|
32
|
699.569655
|
4.753774
|
21.744908
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
34
|
743.292759
|
-7.828379
|
-35.808891
|
INCONSISTENT
|
33
|
721.431207
|
-29.689931
|
-135.808891
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
36
|
787.015862
|
4.523827
|
20.693072
|
CONSISTENT
|
36
|
787.015862
|
4.523827
|
20.693072
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
37
|
808.877414
|
7.967821
|
36.446732
|
CONSISTENT
|
37
|
808.877414
|
7.967821
|
36.446732
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
38
|
830.738966
|
0.485720
|
2.221802
|
CONSISTENT
|
38
|
830.738966
|
0.485720
|
2.221802
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
40
|
874.462069
|
4.293879
|
19.641235
|
CONSISTENT
|
40
|
874.462069
|
4.293879
|
19.641235
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
40
|
874.462069
|
-9.896644
|
-45.269630
|
CONSISTENT
|
40
|
874.462069
|
-9.896644
|
-45.269630
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
42
|
918.185173
|
0.255773
|
1.169966
|
CONSISTENT
|
42
|
918.185173
|
0.255773
|
1.169966
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
45
|
983.769828
|
-0.255773
|
-1.169966
|
CONSISTENT
|
45
|
983.769828
|
-0.255773
|
-1.169966
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
47
|
1027.492932
|
9.896644
|
45.269630
|
CONSISTENT
|
47
|
1027.492932
|
9.896644
|
45.269630
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
47
|
1027.492932
|
-4.293879
|
-19.641235
|
CONSISTENT
|
47
|
1027.492932
|
-4.293879
|
-19.641235
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
49
|
1071.216035
|
-0.485720
|
-2.221802
|
CONSISTENT
|
49
|
1071.216035
|
-0.485720
|
-2.221802
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
50
|
1093.077587
|
-7.967821
|
-36.446732
|
CONSISTENT
|
50
|
1093.077587
|
-7.967821
|
-36.446732
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
51
|
1114.939138
|
-4.523827
|
-20.693072
|
CONSISTENT
|
51
|
1114.939138
|
-4.523827
|
-20.693072
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
53
|
1158.662242
|
7.828379
|
35.808891
|
INCONSISTENT
|
54
|
1180.523794
|
29.689931
|
135.808891
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
55
|
1202.385345
|
-4.753774
|
-21.744908
|
CONSISTENT
|
55
|
1202.385345
|
-4.753774
|
-21.744908
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
56
|
1224.246897
|
-7.519757
|
-34.397176
|
CONSISTENT
|
56
|
1224.246897
|
-7.519757
|
-34.397176
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
58
|
1267.970001
|
2.632660
|
12.042419
|
CONSISTENT
|
58
|
1267.970001
|
2.632660
|
12.042419
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
58
|
1267.970001
|
-5.265320
|
-24.084839
|
CONSISTENT
|
58
|
1267.970001
|
-5.265320
|
-24.084839
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
59
|
1289.831552
|
-3.771462
|
-17.251575
|
CONSISTENT
|
59
|
1289.831552
|
-3.771462
|
-17.251575
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
60
|
1311.693104
|
-7.749704
|
-35.449013
|
CONSISTENT
|
60
|
1311.693104
|
-7.749704
|
-35.449013
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
61
|
1333.554656
|
-0.078675
|
-0.359878
|
INCONSISTENT
|
60
|
1311.693104
|
-21.940227
|
-100.359878
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
62
|
1355.416208
|
-9.588021
|
-43.857916
|
INCONSISTENT
|
63
|
1377.277759
|
12.273531
|
56.142084
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
66
|
1442.862414
|
-9.817969
|
-44.909752
|
INCONSISTENT
|
67
|
1464.723966
|
12.043583
|
55.090248
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
67
|
1464.723966
|
-2.146939
|
-9.820618
|
CONSISTENT
|
67
|
1464.723966
|
-2.146939
|
-9.820618
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
70
|
1530.308621
|
9.332248
|
42.687950
|
INCONSISTENT
|
69
|
1508.447070
|
-12.529303
|
-57.312050
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
71
|
1552.170173
|
-2.376887
|
-10.872454
|
CONSISTENT
|
71
|
1552.170173
|
-2.376887
|
-10.872454
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
73
|
1595.893277
|
-4.215204
|
-19.281357
|
INCONSISTENT
|
74
|
1617.754828
|
17.646348
|
80.718643
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
74
|
1617.754828
|
5.009547
|
22.914873
|
CONSISTENT
|
74
|
1617.754828
|
5.009547
|
22.914873
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
74
|
1617.754828
|
-6.609517
|
-30.233523
|
CONSISTENT
|
74
|
1617.754828
|
-6.609517
|
-30.233523
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
76
|
1661.477932
|
7.263984
|
33.227211
|
CONSISTENT
|
76
|
1661.477932
|
7.263984
|
33.227211
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
76
|
1661.477932
|
-1.306499
|
-5.976242
|
CONSISTENT
|
76
|
1661.477932
|
-1.306499
|
-5.976242
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
78
|
1705.201035
|
4.779599
|
21.863037
|
CONSISTENT
|
78
|
1705.201035
|
4.779599
|
21.863037
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
80
|
1748.924139
|
-5.602765
|
-25.628395
|
CONSISTENT
|
80
|
1748.924139
|
-5.602765
|
-25.628395
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
81
|
1770.785690
|
2.068264
|
9.460740
|
INCONSISTENT
|
80
|
1748.924139
|
-19.793287
|
-90.539260
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
81
|
1770.785690
|
-7.457119
|
-34.110657
|
CONSISTENT
|
81
|
1770.785690
|
-7.457119
|
-34.110657
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
83
|
1814.508794
|
0.229948
|
1.051836
|
CONSISTENT
|
83
|
1814.508794
|
0.229948
|
1.051836
|
31
|
3/1
|
1901.955001
|
cP5
|
87
|
1901.955001
|
0
|
0
|
CONSISTENT
|
87
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales