User:Contribution/JI intervals approximated by 93edt
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93edt divides the tritave in 93 equal steps and the octave in 58.676467 equal steps of 20.451129 cents each. Its 31-limit patent val is <59 93 136 165 203 217 240 249 265 285 291|.
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
|
20.451129
|
6.260607
|
30.612523
|
CONSISTENT
|
1
|
20.451129
|
6.260607
|
30.612523
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
81.804516
|
-5.871638
|
-28.710583
|
CONSISTENT
|
4
|
81.804516
|
-5.871638
|
-28.710583
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
122.706774
|
-1.005417
|
-4.916195
|
CONSISTENT
|
6
|
122.706774
|
-1.005417
|
-4.916195
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
7
|
143.157903
|
9.920328
|
48.507485
|
CONSISTENT
|
7
|
143.157903
|
9.920328
|
48.507485
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
143.157903
|
-4.270194
|
-20.879992
|
INCONSISTENT
|
8
|
163.609032
|
16.180935
|
79.120008
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
10
|
204.511290
|
2.977726
|
14.560202
|
CONSISTENT
|
10
|
204.511290
|
2.977726
|
14.560202
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
12
|
245.413548
|
6.242979
|
30.526328
|
CONSISTENT
|
12
|
245.413548
|
6.242979
|
30.526328
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
12
|
245.413548
|
-2.327504
|
-11.380812
|
CONSISTENT
|
12
|
245.413548
|
-2.327504
|
-11.380812
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
14
|
286.315807
|
8.725151
|
42.663421
|
CONSISTENT
|
14
|
286.315807
|
8.725151
|
42.663421
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
14
|
286.315807
|
-2.893913
|
-14.150382
|
CONSISTENT
|
14
|
286.315807
|
-2.893913
|
-14.150382
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
15
|
306.766936
|
4.920415
|
24.059382
|
INCONSISTENT
|
14
|
286.315807
|
-15.530714
|
-75.940618
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
17
|
347.669194
|
0.261253
|
1.277451
|
CONSISTENT
|
17
|
347.669194
|
0.261253
|
1.277451
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
19
|
388.571452
|
7.592824
|
37.126674
|
CONSISTENT
|
19
|
388.571452
|
7.592824
|
37.126674
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
21
|
429.473710
|
-5.610385
|
-27.433133
|
CONSISTENT
|
21
|
429.473710
|
-5.610385
|
-27.433133
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
22
|
449.924839
|
0.650221
|
3.179390
|
CONSISTENT
|
22
|
449.924839
|
0.650221
|
3.179390
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
26
|
531.729355
|
-5.221417
|
-25.531193
|
CONSISTENT
|
26
|
531.729355
|
-5.221417
|
-25.531193
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
28
|
572.631613
|
4.309943
|
21.074353
|
CONSISTENT
|
28
|
572.631613
|
4.309943
|
21.074353
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
28
|
572.631613
|
-9.880579
|
-48.313125
|
INCONSISTENT
|
29
|
593.082742
|
10.570550
|
51.686875
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
29
|
593.082742
|
-3.619973
|
-17.700602
|
INCONSISTENT
|
30
|
613.533871
|
16.831156
|
82.299398
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
30
|
613.533871
|
5.181885
|
25.337891
|
CONSISTENT
|
30
|
613.533871
|
5.181885
|
25.337891
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
31
|
633.985000
|
5.265320
|
25.745862
|
CONSISTENT
|
31
|
633.985000
|
5.265320
|
25.745862
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
31
|
633.985000
|
-2.632660
|
-12.872931
|
CONSISTENT
|
31
|
633.985000
|
-2.632660
|
-12.872931
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
33
|
674.887258
|
4.698911
|
22.976292
|
CONSISTENT
|
33
|
674.887258
|
4.698911
|
22.976292
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
34
|
695.338387
|
0.522506
|
2.554901
|
CONSISTENT
|
34
|
695.338387
|
0.522506
|
2.554901
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
37
|
756.691775
|
5.570636
|
27.238772
|
INCONSISTENT
|
36
|
736.240645
|
-14.880493
|
-72.761228
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
38
|
777.142904
|
-5.349132
|
-26.155682
|
CONSISTENT
|
38
|
777.142904
|
-5.349132
|
-26.155682
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
39
|
797.594033
|
-3.315560
|
-16.212115
|
CONSISTENT
|
39
|
797.594033
|
-3.315560
|
-16.212115
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
41
|
838.496291
|
8.243045
|
40.306064
|
CONSISTENT
|
41
|
838.496291
|
8.243045
|
40.306064
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
43
|
879.398549
|
9.230358
|
45.133734
|
INCONSISTENT
|
42
|
858.947420
|
-11.220771
|
-54.866266
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
43
|
879.398549
|
-4.960164
|
-24.253743
|
CONSISTENT
|
43
|
879.398549
|
-4.960164
|
-24.253743
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
45
|
920.300807
|
2.371407
|
11.595480
|
CONSISTENT
|
45
|
920.300807
|
2.371407
|
11.595480
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
48
|
981.654194
|
-2.371407
|
-11.595480
|
CONSISTENT
|
48
|
981.654194
|
-2.371407
|
-11.595480
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
50
|
1022.556452
|
4.960164
|
24.253743
|
CONSISTENT
|
50
|
1022.556452
|
4.960164
|
24.253743
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
50
|
1022.556452
|
-9.230358
|
-45.133734
|
INCONSISTENT
|
51
|
1043.007581
|
11.220771
|
54.866266
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
52
|
1063.458710
|
-8.243045
|
-40.306064
|
CONSISTENT
|
52
|
1063.458710
|
-8.243045
|
-40.306064
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
54
|
1104.360968
|
3.315560
|
16.212115
|
CONSISTENT
|
54
|
1104.360968
|
3.315560
|
16.212115
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
55
|
1124.812097
|
5.349132
|
26.155682
|
CONSISTENT
|
55
|
1124.812097
|
5.349132
|
26.155682
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
56
|
1145.263226
|
-5.570636
|
-27.238772
|
INCONSISTENT
|
57
|
1165.714355
|
14.880493
|
72.761228
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
59
|
1206.616613
|
-0.522506
|
-2.554901
|
CONSISTENT
|
59
|
1206.616613
|
-0.522506
|
-2.554901
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
60
|
1227.067742
|
-4.698911
|
-22.976292
|
CONSISTENT
|
60
|
1227.067742
|
-4.698911
|
-22.976292
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
62
|
1267.970001
|
2.632660
|
12.872931
|
CONSISTENT
|
62
|
1267.970001
|
2.632660
|
12.872931
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
62
|
1267.970001
|
-5.265320
|
-25.745862
|
CONSISTENT
|
62
|
1267.970001
|
-5.265320
|
-25.745862
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
63
|
1288.421130
|
-5.181885
|
-25.337891
|
CONSISTENT
|
63
|
1288.421130
|
-5.181885
|
-25.337891
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
65
|
1329.323388
|
9.880579
|
48.313125
|
INCONSISTENT
|
64
|
1308.872259
|
-10.570550
|
-51.686875
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
65
|
1329.323388
|
-4.309943
|
-21.074353
|
CONSISTENT
|
65
|
1329.323388
|
-4.309943
|
-21.074353
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
67
|
1370.225646
|
5.221417
|
25.531193
|
CONSISTENT
|
67
|
1370.225646
|
5.221417
|
25.531193
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
71
|
1452.030162
|
-0.650221
|
-3.179390
|
CONSISTENT
|
71
|
1452.030162
|
-0.650221
|
-3.179390
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
72
|
1472.481291
|
5.610385
|
27.433133
|
CONSISTENT
|
72
|
1472.481291
|
5.610385
|
27.433133
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
74
|
1513.383549
|
-7.592824
|
-37.126674
|
CONSISTENT
|
74
|
1513.383549
|
-7.592824
|
-37.126674
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
76
|
1554.285807
|
-0.261253
|
-1.277451
|
CONSISTENT
|
76
|
1554.285807
|
-0.261253
|
-1.277451
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
78
|
1595.188065
|
-4.920415
|
-24.059382
|
INCONSISTENT
|
79
|
1615.639194
|
15.530714
|
75.940618
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
79
|
1615.639194
|
2.893913
|
14.150382
|
CONSISTENT
|
79
|
1615.639194
|
2.893913
|
14.150382
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
79
|
1615.639194
|
-8.725151
|
-42.663421
|
CONSISTENT
|
79
|
1615.639194
|
-8.725151
|
-42.663421
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
81
|
1656.541452
|
2.327504
|
11.380812
|
CONSISTENT
|
81
|
1656.541452
|
2.327504
|
11.380812
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
81
|
1656.541452
|
-6.242979
|
-30.526328
|
CONSISTENT
|
81
|
1656.541452
|
-6.242979
|
-30.526328
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
83
|
1697.443710
|
-2.977726
|
-14.560202
|
CONSISTENT
|
83
|
1697.443710
|
-2.977726
|
-14.560202
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
86
|
1758.797098
|
4.270194
|
20.879992
|
INCONSISTENT
|
85
|
1738.345969
|
-16.180935
|
-79.120008
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
86
|
1758.797098
|
-9.920328
|
-48.507485
|
CONSISTENT
|
86
|
1758.797098
|
-9.920328
|
-48.507485
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
87
|
1779.248227
|
1.005417
|
4.916195
|
CONSISTENT
|
87
|
1779.248227
|
1.005417
|
4.916195
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
89
|
1820.150485
|
5.871638
|
28.710583
|
CONSISTENT
|
89
|
1820.150485
|
5.871638
|
28.710583
|
31
|
3/1
|
1901.955001
|
cP5
|
93
|
1901.955001
|
0
|
0
|
CONSISTENT
|
93
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales