User:Contribution/JI intervals approximated by 57edt
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57edt divides the tritave in 57 equal steps and the octave in 35.962996 equal steps of 33.367632 cents each. Its 31-limit patent val is <36 57 84 101 124 133 147 153 163 175 178|.
| 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
|
0
|
0
|
-14.190522
|
-42.527809
|
INCONSISTENT
|
1
|
33.367632
|
19.177109
|
57.472191
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
100.102895
|
12.426740
|
37.241900
|
CONSISTENT
|
3
|
100.102895
|
12.426740
|
37.241900
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
133.470526
|
9.758335
|
29.244913
|
CONSISTENT
|
4
|
133.470526
|
9.758335
|
29.244913
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
133.470526
|
0.232952
|
0.698136
|
INCONSISTENT
|
3
|
100.102895
|
-33.134680
|
-99.301864
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
133.470526
|
-13.957571
|
-41.829672
|
CONSISTENT
|
4
|
133.470526
|
-13.957571
|
-41.829672
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
200.205790
|
-1.327775
|
-3.979231
|
CONSISTENT
|
6
|
200.205790
|
-1.327775
|
-3.979231
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
233.573421
|
-5.597149
|
-16.774186
|
CONSISTENT
|
7
|
233.573421
|
-5.597149
|
-16.774186
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
233.573421
|
-14.167632
|
-42.459207
|
INCONSISTENT
|
8
|
266.941053
|
19.200000
|
57.540793
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
266.941053
|
-10.649603
|
-31.915968
|
CONSISTENT
|
8
|
266.941053
|
-10.649603
|
-31.915968
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
9
|
300.308684
|
11.098965
|
33.262669
|
CONSISTENT
|
9
|
300.308684
|
11.098965
|
33.262669
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
9
|
300.308684
|
-1.537836
|
-4.608766
|
INCONSISTENT
|
10
|
333.676316
|
31.829796
|
95.391234
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
10
|
333.676316
|
-13.731625
|
-41.152530
|
CONSISTENT
|
10
|
333.676316
|
-13.731625
|
-41.152530
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
11
|
367.043948
|
-13.934680
|
-41.761071
|
CONSISTENT
|
11
|
367.043948
|
-13.934680
|
-41.761071
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
13
|
433.779211
|
-1.304885
|
-3.910630
|
CONSISTENT
|
13
|
433.779211
|
-1.304885
|
-3.910630
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
13
|
433.779211
|
-15.495407
|
-46.438438
|
INCONSISTENT
|
14
|
467.146842
|
17.872225
|
53.561562
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
16
|
533.882106
|
-3.068667
|
-9.196538
|
INCONSISTENT
|
17
|
567.249737
|
30.298965
|
90.803462
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
17
|
567.249737
|
-1.071933
|
-3.212494
|
INCONSISTENT
|
16
|
533.882106
|
-34.439565
|
-103.212494
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
17
|
567.249737
|
-15.262456
|
-45.740302
|
CONSISTENT
|
17
|
567.249737
|
-15.262456
|
-45.740302
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
18
|
600.617369
|
3.914654
|
11.731889
|
CONSISTENT
|
18
|
600.617369
|
3.914654
|
11.731889
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
18
|
600.617369
|
-7.734618
|
-23.180002
|
CONSISTENT
|
18
|
600.617369
|
-7.734618
|
-23.180002
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
19
|
633.985000
|
5.265320
|
15.779722
|
CONSISTENT
|
19
|
633.985000
|
5.265320
|
15.779722
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
19
|
633.985000
|
-2.632660
|
-7.889861
|
CONSISTENT
|
19
|
633.985000
|
-2.632660
|
-7.889861
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
20
|
667.352632
|
-2.835715
|
-8.498402
|
CONSISTENT
|
20
|
667.352632
|
-2.835715
|
-8.498402
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
21
|
700.720263
|
5.904382
|
17.694939
|
INCONSISTENT
|
20
|
667.352632
|
-27.463249
|
-82.305061
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
23
|
767.455527
|
16.334389
|
48.952796
|
INCONSISTENT
|
24
|
800.823158
|
49.702020
|
148.952796
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
23
|
767.455527
|
-15.036509
|
-45.063160
|
CONSISTENT
|
23
|
767.455527
|
-15.036509
|
-45.063160
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
24
|
800.823158
|
-0.086435
|
-0.259038
|
CONSISTENT
|
24
|
800.823158
|
-0.086435
|
-0.259038
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
25
|
834.190790
|
3.937544
|
11.800491
|
CONSISTENT
|
25
|
834.190790
|
3.937544
|
11.800491
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
26
|
867.558421
|
-2.609769
|
-7.821260
|
CONSISTENT
|
26
|
867.558421
|
-2.609769
|
-7.821260
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
27
|
900.926053
|
16.567340
|
49.650932
|
CONSISTENT
|
27
|
900.926053
|
16.567340
|
49.650932
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
28
|
934.293685
|
16.364284
|
49.042391
|
CONSISTENT
|
28
|
934.293685
|
16.364284
|
49.042391
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
29
|
967.661316
|
-16.364284
|
-49.042391
|
CONSISTENT
|
29
|
967.661316
|
-16.364284
|
-49.042391
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
30
|
1001.028948
|
-16.567340
|
-49.650932
|
CONSISTENT
|
30
|
1001.028948
|
-16.567340
|
-49.650932
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
31
|
1034.396579
|
2.609769
|
7.821260
|
CONSISTENT
|
31
|
1034.396579
|
2.609769
|
7.821260
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
32
|
1067.764211
|
-3.937544
|
-11.800491
|
CONSISTENT
|
32
|
1067.764211
|
-3.937544
|
-11.800491
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
33
|
1101.131843
|
0.086435
|
0.259038
|
CONSISTENT
|
33
|
1101.131843
|
0.086435
|
0.259038
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
34
|
1134.499474
|
15.036509
|
45.063160
|
CONSISTENT
|
34
|
1134.499474
|
15.036509
|
45.063160
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
34
|
1134.499474
|
-16.334389
|
-48.952796
|
INCONSISTENT
|
33
|
1101.131843
|
-49.702020
|
-148.952796
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
36
|
1201.234737
|
-5.904382
|
-17.694939
|
INCONSISTENT
|
37
|
1234.602369
|
27.463249
|
82.305061
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
37
|
1234.602369
|
2.835715
|
8.498402
|
CONSISTENT
|
37
|
1234.602369
|
2.835715
|
8.498402
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
38
|
1267.970001
|
2.632660
|
7.889861
|
CONSISTENT
|
38
|
1267.970001
|
2.632660
|
7.889861
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
38
|
1267.970001
|
-5.265320
|
-15.779722
|
CONSISTENT
|
38
|
1267.970001
|
-5.265320
|
-15.779722
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
39
|
1301.337632
|
7.734618
|
23.180002
|
CONSISTENT
|
39
|
1301.337632
|
7.734618
|
23.180002
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
40
|
1334.705264
|
15.262456
|
45.740302
|
CONSISTENT
|
40
|
1334.705264
|
15.262456
|
45.740302
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
40
|
1334.705264
|
1.071933
|
3.212494
|
INCONSISTENT
|
41
|
1368.072895
|
34.439565
|
103.212494
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
41
|
1368.072895
|
3.068667
|
9.196538
|
INCONSISTENT
|
40
|
1334.705264
|
-30.298965
|
-90.803462
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
44
|
1468.175790
|
15.495407
|
46.438438
|
INCONSISTENT
|
43
|
1434.808159
|
-17.872225
|
-53.561562
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
44
|
1468.175790
|
1.304885
|
3.910630
|
CONSISTENT
|
44
|
1468.175790
|
1.304885
|
3.910630
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
46
|
1534.911053
|
13.934680
|
41.761071
|
CONSISTENT
|
46
|
1534.911053
|
13.934680
|
41.761071
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
47
|
1568.278685
|
13.731625
|
41.152530
|
CONSISTENT
|
47
|
1568.278685
|
13.731625
|
41.152530
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
48
|
1601.646317
|
1.537836
|
4.608766
|
INCONSISTENT
|
47
|
1568.278685
|
-31.829796
|
-95.391234
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
48
|
1601.646317
|
-11.098965
|
-33.262669
|
CONSISTENT
|
48
|
1601.646317
|
-11.098965
|
-33.262669
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
49
|
1635.013948
|
10.649603
|
31.915968
|
CONSISTENT
|
49
|
1635.013948
|
10.649603
|
31.915968
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
50
|
1668.381580
|
14.167632
|
42.459207
|
INCONSISTENT
|
49
|
1635.013948
|
-19.200000
|
-57.540793
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
50
|
1668.381580
|
5.597149
|
16.774186
|
CONSISTENT
|
50
|
1668.381580
|
5.597149
|
16.774186
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
51
|
1701.749211
|
1.327775
|
3.979231
|
CONSISTENT
|
51
|
1701.749211
|
1.327775
|
3.979231
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
53
|
1768.484474
|
13.957571
|
41.829672
|
CONSISTENT
|
53
|
1768.484474
|
13.957571
|
41.829672
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
53
|
1768.484474
|
-0.232952
|
-0.698136
|
INCONSISTENT
|
54
|
1801.852106
|
33.134680
|
99.301864
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
53
|
1768.484474
|
-9.758335
|
-29.244913
|
CONSISTENT
|
53
|
1768.484474
|
-9.758335
|
-29.244913
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
54
|
1801.852106
|
-12.426740
|
-37.241900
|
CONSISTENT
|
54
|
1801.852106
|
-12.426740
|
-37.241900
|
31
|
3/1
|
1901.955001
|
cP5
|
57
|
1901.955001
|
0
|
0
|
CONSISTENT
|
57
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales