User:Contribution/JI intervals approximated by 91edt
Jump to navigation
Jump to search
91edt divides the tritave in 91 equal steps and the octave in 57.414608 equal steps of 20.900604 cents each. Its 31-limit patent val is <57 91 133 161 199 212 235 244 260 279 284|.
| 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
|
20.900604
|
6.710082
|
32.104727
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-67.895273
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
83.602418
|
-4.073737
|
-19.491001
|
CONSISTENT
|
4
|
83.602418
|
-4.073737
|
-19.491001
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
125.403626
|
1.691435
|
8.092756
|
CONSISTENT
|
6
|
125.403626
|
1.691435
|
8.092756
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
125.403626
|
-7.833948
|
-37.481923
|
INCONSISTENT
|
7
|
146.304231
|
13.066656
|
62.518077
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
146.304231
|
-1.123867
|
-5.377196
|
CONSISTENT
|
7
|
146.304231
|
-1.123867
|
-5.377196
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
10
|
209.006044
|
7.472479
|
35.752455
|
INCONSISTENT
|
9
|
188.105440
|
-13.428125
|
-64.247545
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
229.906648
|
-9.263921
|
-44.323701
|
CONSISTENT
|
11
|
229.906648
|
-9.263921
|
-44.323701
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
12
|
250.807253
|
3.066200
|
14.670389
|
CONSISTENT
|
12
|
250.807253
|
3.066200
|
14.670389
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
13
|
271.707857
|
-5.882798
|
-28.146545
|
CONSISTENT
|
13
|
271.707857
|
-5.882798
|
-28.146545
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
14
|
292.608462
|
3.398742
|
16.261454
|
INCONSISTENT
|
13
|
271.707857
|
-17.501862
|
-83.738546
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
14
|
292.608462
|
-9.238059
|
-44.199960
|
CONSISTENT
|
14
|
292.608462
|
-9.238059
|
-44.199960
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
17
|
355.310275
|
7.902334
|
37.809118
|
CONSISTENT
|
17
|
355.310275
|
7.902334
|
37.809118
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
18
|
376.210879
|
-4.767749
|
-22.811534
|
INCONSISTENT
|
19
|
397.111484
|
16.132856
|
77.188466
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
21
|
438.912693
|
3.828597
|
18.318117
|
CONSISTENT
|
21
|
438.912693
|
3.828597
|
18.318117
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
21
|
438.912693
|
-10.361925
|
-49.577156
|
CONSISTENT
|
21
|
438.912693
|
-10.361925
|
-49.577156
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
26
|
543.415715
|
6.464942
|
30.931843
|
INCONSISTENT
|
25
|
522.515110
|
-14.435662
|
-69.068157
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
27
|
564.316319
|
-4.005351
|
-19.163806
|
INCONSISTENT
|
28
|
585.216923
|
16.895253
|
80.836194
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
28
|
585.216923
|
2.704731
|
12.940921
|
CONSISTENT
|
28
|
585.216923
|
2.704731
|
12.940921
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
29
|
606.117528
|
9.414813
|
45.045648
|
INCONSISTENT
|
28
|
585.216923
|
-11.485792
|
-54.954352
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
29
|
606.117528
|
-2.234459
|
-10.690881
|
CONSISTENT
|
29
|
606.117528
|
-2.234459
|
-10.690881
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
30
|
627.018132
|
-1.701549
|
-8.141146
|
INCONSISTENT
|
31
|
647.918737
|
19.199056
|
91.858854
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
30
|
627.018132
|
-9.599528
|
-45.929427
|
CONSISTENT
|
30
|
627.018132
|
-9.599528
|
-45.929427
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
32
|
668.819341
|
-1.369006
|
-6.550080
|
CONSISTENT
|
32
|
668.819341
|
-1.369006
|
-6.550080
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
33
|
689.719945
|
-5.095936
|
-24.381763
|
INCONSISTENT
|
34
|
710.620550
|
15.804669
|
75.618237
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
36
|
752.421759
|
1.300620
|
6.222884
|
INCONSISTENT
|
35
|
731.521154
|
-19.599984
|
-93.777116
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
37
|
773.322363
|
-9.169673
|
-43.872764
|
INCONSISTENT
|
38
|
794.222967
|
11.730931
|
56.127236
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
38
|
794.222967
|
-6.686626
|
-31.992499
|
CONSISTENT
|
38
|
794.222967
|
-6.686626
|
-31.992499
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
40
|
836.024176
|
5.770931
|
27.611310
|
CONSISTENT
|
40
|
836.024176
|
5.770931
|
27.611310
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
42
|
877.825385
|
7.657194
|
36.636235
|
CONSISTENT
|
42
|
877.825385
|
7.657194
|
36.636235
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
42
|
877.825385
|
-6.533328
|
-31.259039
|
CONSISTENT
|
42
|
877.825385
|
-6.533328
|
-31.259039
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
44
|
919.626594
|
1.697194
|
8.120309
|
CONSISTENT
|
44
|
919.626594
|
1.697194
|
8.120309
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
47
|
982.328407
|
-1.697194
|
-8.120309
|
CONSISTENT
|
47
|
982.328407
|
-1.697194
|
-8.120309
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
49
|
1024.129616
|
6.533328
|
31.259039
|
CONSISTENT
|
49
|
1024.129616
|
6.533328
|
31.259039
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
49
|
1024.129616
|
-7.657194
|
-36.636235
|
CONSISTENT
|
49
|
1024.129616
|
-7.657194
|
-36.636235
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
51
|
1065.930825
|
-5.770931
|
-27.611310
|
CONSISTENT
|
51
|
1065.930825
|
-5.770931
|
-27.611310
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
53
|
1107.732033
|
6.686626
|
31.992499
|
CONSISTENT
|
53
|
1107.732033
|
6.686626
|
31.992499
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
54
|
1128.632638
|
9.169673
|
43.872764
|
INCONSISTENT
|
53
|
1107.732033
|
-11.730931
|
-56.127236
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
55
|
1149.533242
|
-1.300620
|
-6.222884
|
INCONSISTENT
|
56
|
1170.433847
|
19.599984
|
93.777116
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
58
|
1212.235055
|
5.095936
|
24.381763
|
INCONSISTENT
|
57
|
1191.334451
|
-15.804669
|
-75.618237
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
59
|
1233.135660
|
1.369006
|
6.550080
|
CONSISTENT
|
59
|
1233.135660
|
1.369006
|
6.550080
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
61
|
1274.936869
|
9.599528
|
45.929427
|
CONSISTENT
|
61
|
1274.936869
|
9.599528
|
45.929427
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
61
|
1274.936869
|
1.701549
|
8.141146
|
INCONSISTENT
|
60
|
1254.036264
|
-19.199056
|
-91.858854
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
62
|
1295.837473
|
2.234459
|
10.690881
|
CONSISTENT
|
62
|
1295.837473
|
2.234459
|
10.690881
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
63
|
1316.738078
|
-2.704731
|
-12.940921
|
CONSISTENT
|
63
|
1316.738078
|
-2.704731
|
-12.940921
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
64
|
1337.638682
|
4.005351
|
19.163806
|
INCONSISTENT
|
63
|
1316.738078
|
-16.895253
|
-80.836194
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
65
|
1358.539286
|
-6.464942
|
-30.931843
|
INCONSISTENT
|
66
|
1379.439891
|
14.435662
|
69.068157
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
70
|
1463.042308
|
10.361925
|
49.577156
|
CONSISTENT
|
70
|
1463.042308
|
10.361925
|
49.577156
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
70
|
1463.042308
|
-3.828597
|
-18.318117
|
CONSISTENT
|
70
|
1463.042308
|
-3.828597
|
-18.318117
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
73
|
1525.744122
|
4.767749
|
22.811534
|
INCONSISTENT
|
72
|
1504.843517
|
-16.132856
|
-77.188466
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
74
|
1546.644726
|
-7.902334
|
-37.809118
|
CONSISTENT
|
74
|
1546.644726
|
-7.902334
|
-37.809118
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
77
|
1609.346539
|
9.238059
|
44.199960
|
CONSISTENT
|
77
|
1609.346539
|
9.238059
|
44.199960
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
77
|
1609.346539
|
-3.398742
|
-16.261454
|
INCONSISTENT
|
78
|
1630.247144
|
17.501862
|
83.738546
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
78
|
1630.247144
|
5.882798
|
28.146545
|
CONSISTENT
|
78
|
1630.247144
|
5.882798
|
28.146545
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
79
|
1651.147748
|
-3.066200
|
-14.670389
|
CONSISTENT
|
79
|
1651.147748
|
-3.066200
|
-14.670389
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
80
|
1672.048352
|
9.263921
|
44.323701
|
CONSISTENT
|
80
|
1672.048352
|
9.263921
|
44.323701
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
81
|
1692.948957
|
-7.472479
|
-35.752455
|
INCONSISTENT
|
82
|
1713.849561
|
13.428125
|
64.247545
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
84
|
1755.650770
|
1.123867
|
5.377196
|
CONSISTENT
|
84
|
1755.650770
|
1.123867
|
5.377196
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
85
|
1776.551374
|
7.833948
|
37.481923
|
INCONSISTENT
|
84
|
1755.650770
|
-13.066656
|
-62.518077
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
85
|
1776.551374
|
-1.691435
|
-8.092756
|
CONSISTENT
|
85
|
1776.551374
|
-1.691435
|
-8.092756
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
87
|
1818.352583
|
4.073737
|
19.491001
|
CONSISTENT
|
87
|
1818.352583
|
4.073737
|
19.491001
|
31
|
3/1
|
1901.955001
|
cP5
|
91
|
1901.955001
|
0
|
0
|
CONSISTENT
|
91
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales