User:Contribution/JI intervals approximated by 90edt
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90edt divides the tritave in 90 equal steps and the octave in 56.783678 equal steps of 21.132833 cents each. Its 31-limit patent val is <57 90 132 159 196 210 232 241 257 276 281|.
| 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
|
21.132833
|
6.942311
|
32.850829
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-67.149171
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
84.531333
|
-3.144821
|
-14.881210
|
INCONSISTENT
|
5
|
105.664167
|
17.988012
|
85.118790
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
126.797000
|
3.084809
|
14.597231
|
CONSISTENT
|
6
|
126.797000
|
3.084809
|
14.597231
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
126.797000
|
-6.440575
|
-30.476627
|
CONSISTENT
|
6
|
126.797000
|
-6.440575
|
-30.476627
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
147.929833
|
0.501736
|
2.374202
|
INCONSISTENT
|
6
|
126.797000
|
-20.631097
|
-97.625798
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
10
|
211.328333
|
9.794769
|
46.348582
|
INCONSISTENT
|
9
|
190.195500
|
-11.338065
|
-53.651418
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
232.461167
|
-6.709403
|
-31.748715
|
CONSISTENT
|
11
|
232.461167
|
-6.709403
|
-31.748715
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
12
|
253.594000
|
5.852947
|
27.695989
|
CONSISTENT
|
12
|
253.594000
|
5.852947
|
27.695989
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
13
|
274.726833
|
-2.863822
|
-13.551528
|
CONSISTENT
|
13
|
274.726833
|
-2.863822
|
-13.551528
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
14
|
295.859667
|
6.649947
|
31.467373
|
CONSISTENT
|
14
|
295.859667
|
6.649947
|
31.467373
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
14
|
295.859667
|
-5.986854
|
-28.329630
|
INCONSISTENT
|
15
|
316.992500
|
15.145980
|
71.670370
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
16
|
338.125333
|
-9.282607
|
-43.925048
|
CONSISTENT
|
16
|
338.125333
|
-9.282607
|
-43.925048
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
18
|
380.391000
|
-0.587628
|
-2.780638
|
CONSISTENT
|
18
|
380.391000
|
-0.587628
|
-2.780638
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
21
|
443.789500
|
8.705405
|
41.193742
|
CONSISTENT
|
21
|
443.789500
|
8.705405
|
41.193742
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
21
|
443.789500
|
-5.485118
|
-25.955429
|
CONSISTENT
|
21
|
443.789500
|
-5.485118
|
-25.955429
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
25
|
528.320834
|
-8.629939
|
-40.836639
|
INCONSISTENT
|
26
|
549.453667
|
12.502895
|
59.163361
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
27
|
570.586500
|
2.264830
|
10.717115
|
CONSISTENT
|
27
|
570.586500
|
2.264830
|
10.717115
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
28
|
591.719334
|
9.207141
|
43.567944
|
INCONSISTENT
|
27
|
570.586500
|
-11.925692
|
-56.432056
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
28
|
591.719334
|
-4.983381
|
-23.581227
|
INCONSISTENT
|
27
|
570.586500
|
-26.116215
|
-123.581227
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
29
|
612.852167
|
4.500180
|
21.294733
|
CONSISTENT
|
29
|
612.852167
|
4.500180
|
21.294733
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
30
|
633.985000
|
5.265320
|
24.915351
|
CONSISTENT
|
30
|
633.985000
|
5.265320
|
24.915351
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
30
|
633.985000
|
-2.632660
|
-12.457675
|
CONSISTENT
|
30
|
633.985000
|
-2.632660
|
-12.457675
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
32
|
676.250667
|
6.062320
|
28.686734
|
CONSISTENT
|
32
|
676.250667
|
6.062320
|
28.686734
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
33
|
697.383500
|
2.567619
|
12.149904
|
INCONSISTENT
|
32
|
676.250667
|
-18.565214
|
-87.850096
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
36
|
760.782000
|
9.660862
|
45.714941
|
CONSISTENT
|
36
|
760.782000
|
9.660862
|
45.714941
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
37
|
781.914834
|
-0.577202
|
-2.731305
|
CONSISTENT
|
37
|
781.914834
|
-0.577202
|
-2.731305
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
38
|
803.047667
|
2.138074
|
10.117308
|
CONSISTENT
|
38
|
803.047667
|
2.138074
|
10.117308
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
39
|
824.180500
|
-6.072745
|
-28.736067
|
CONSISTENT
|
39
|
824.180500
|
-6.072745
|
-28.736067
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
41
|
866.446167
|
-3.722023
|
-17.612515
|
INCONSISTENT
|
42
|
887.579000
|
17.410810
|
82.387485
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
42
|
887.579000
|
3.220287
|
15.238314
|
CONSISTENT
|
42
|
887.579000
|
3.220287
|
15.238314
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
43
|
908.711834
|
-9.217566
|
-43.617277
|
INCONSISTENT
|
44
|
929.844667
|
11.915267
|
56.382723
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
47
|
993.243167
|
9.217566
|
43.617277
|
INCONSISTENT
|
46
|
972.110334
|
-11.915267
|
-56.382723
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
48
|
1014.376000
|
-3.220287
|
-15.238314
|
CONSISTENT
|
48
|
1014.376000
|
-3.220287
|
-15.238314
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
49
|
1035.508834
|
3.722023
|
17.612515
|
INCONSISTENT
|
48
|
1014.376000
|
-17.410810
|
-82.387485
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
51
|
1077.774500
|
6.072745
|
28.736067
|
CONSISTENT
|
51
|
1077.774500
|
6.072745
|
28.736067
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
52
|
1098.907334
|
-2.138074
|
-10.117308
|
CONSISTENT
|
52
|
1098.907334
|
-2.138074
|
-10.117308
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
53
|
1120.040167
|
0.577202
|
2.731305
|
CONSISTENT
|
53
|
1120.040167
|
0.577202
|
2.731305
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
54
|
1141.173001
|
-9.660862
|
-45.714941
|
CONSISTENT
|
54
|
1141.173001
|
-9.660862
|
-45.714941
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
57
|
1204.571501
|
-2.567619
|
-12.149904
|
INCONSISTENT
|
58
|
1225.704334
|
18.565214
|
87.850096
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
58
|
1225.704334
|
-6.062320
|
-28.686734
|
CONSISTENT
|
58
|
1225.704334
|
-6.062320
|
-28.686734
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
60
|
1267.970001
|
2.632660
|
12.457675
|
CONSISTENT
|
60
|
1267.970001
|
2.632660
|
12.457675
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
60
|
1267.970001
|
-5.265320
|
-24.915351
|
CONSISTENT
|
60
|
1267.970001
|
-5.265320
|
-24.915351
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
61
|
1289.102834
|
-4.500180
|
-21.294733
|
CONSISTENT
|
61
|
1289.102834
|
-4.500180
|
-21.294733
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
62
|
1310.235667
|
-9.207141
|
-43.567944
|
INCONSISTENT
|
63
|
1331.368501
|
11.925692
|
56.432056
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
63
|
1331.368501
|
-2.264830
|
-10.717115
|
CONSISTENT
|
63
|
1331.368501
|
-2.264830
|
-10.717115
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
65
|
1373.634167
|
8.629939
|
40.836639
|
INCONSISTENT
|
64
|
1352.501334
|
-12.502895
|
-59.163361
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
69
|
1458.165501
|
5.485118
|
25.955429
|
CONSISTENT
|
69
|
1458.165501
|
5.485118
|
25.955429
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
69
|
1458.165501
|
-8.705405
|
-41.193742
|
CONSISTENT
|
69
|
1458.165501
|
-8.705405
|
-41.193742
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
72
|
1521.564001
|
0.587628
|
2.780638
|
CONSISTENT
|
72
|
1521.564001
|
0.587628
|
2.780638
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
74
|
1563.829667
|
9.282607
|
43.925048
|
CONSISTENT
|
74
|
1563.829667
|
9.282607
|
43.925048
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
76
|
1606.095334
|
5.986854
|
28.329630
|
INCONSISTENT
|
75
|
1584.962501
|
-15.145980
|
-71.670370
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
76
|
1606.095334
|
-6.649947
|
-31.467373
|
CONSISTENT
|
76
|
1606.095334
|
-6.649947
|
-31.467373
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
77
|
1627.228167
|
2.863822
|
13.551528
|
CONSISTENT
|
77
|
1627.228167
|
2.863822
|
13.551528
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
78
|
1648.361001
|
-5.852947
|
-27.695989
|
CONSISTENT
|
78
|
1648.361001
|
-5.852947
|
-27.695989
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
79
|
1669.493834
|
6.709403
|
31.748715
|
CONSISTENT
|
79
|
1669.493834
|
6.709403
|
31.748715
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
80
|
1690.626667
|
-9.794769
|
-46.348582
|
INCONSISTENT
|
81
|
1711.759501
|
11.338065
|
53.651418
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
83
|
1754.025167
|
-0.501736
|
-2.374202
|
INCONSISTENT
|
84
|
1775.158001
|
20.631097
|
97.625798
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
84
|
1775.158001
|
6.440575
|
30.476627
|
CONSISTENT
|
84
|
1775.158001
|
6.440575
|
30.476627
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
84
|
1775.158001
|
-3.084809
|
-14.597231
|
CONSISTENT
|
84
|
1775.158001
|
-3.084809
|
-14.597231
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
86
|
1817.423667
|
3.144821
|
14.881210
|
INCONSISTENT
|
85
|
1796.290834
|
-17.988012
|
-85.118790
|
31
|
3/1
|
1901.955001
|
cP5
|
90
|
1901.955001
|
0
|
0
|
CONSISTENT
|
90
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales