User:Contribution/JI intervals approximated by 93edt

From Xenharmonic Wiki
Jump to navigation Jump to search

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