User:Contribution/JI intervals approximated by 53edt
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53edt divides the tritave in 53 equal steps and the octave in 33.439277 equal steps of 35.885943 cents each. Its 31-limit patent val is <33 53 78 94 116 124 137 142 151 162 166|.
| 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
|
-39.543401
|
INCONSISTENT
|
1
|
35.885943
|
21.695421
|
60.456599
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
71.771887
|
-15.904268
|
-44.318935
|
CONSISTENT
|
2
|
71.771887
|
-15.904268
|
-44.318935
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
107.657830
|
-16.054361
|
-44.737186
|
CONSISTENT
|
3
|
107.657830
|
-16.054361
|
-44.737186
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
143.543774
|
10.306199
|
28.719320
|
INCONSISTENT
|
3
|
107.657830
|
-25.579745
|
-71.280680
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
143.543774
|
-3.884324
|
-10.824081
|
CONSISTENT
|
4
|
143.543774
|
-3.884324
|
-10.824081
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
215.315660
|
13.782096
|
38.405276
|
CONSISTENT
|
6
|
215.315660
|
13.782096
|
38.405276
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
251.201604
|
12.031034
|
33.525757
|
CONSISTENT
|
7
|
251.201604
|
12.031034
|
33.525757
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
251.201604
|
3.460551
|
9.643193
|
CONSISTENT
|
7
|
251.201604
|
3.460551
|
9.643193
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
287.087547
|
9.496892
|
26.464100
|
CONSISTENT
|
8
|
287.087547
|
9.496892
|
26.464100
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
8
|
287.087547
|
-2.122172
|
-5.913658
|
CONSISTENT
|
8
|
287.087547
|
-2.122172
|
-5.913658
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
8
|
287.087547
|
-14.758973
|
-41.127449
|
INCONSISTENT
|
9
|
322.973491
|
21.126970
|
58.872551
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
10
|
358.859434
|
11.451493
|
31.910805
|
CONSISTENT
|
10
|
358.859434
|
11.451493
|
31.910805
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
11
|
394.745378
|
13.766750
|
38.362513
|
INCONSISTENT
|
10
|
358.859434
|
-22.119194
|
-61.637487
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
12
|
430.631321
|
-4.452774
|
-12.408129
|
CONSISTENT
|
12
|
430.631321
|
-4.452774
|
-12.408129
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
13
|
466.517264
|
17.242647
|
48.048470
|
CONSISTENT
|
13
|
466.517264
|
17.242647
|
48.048470
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
15
|
538.289151
|
1.338379
|
3.729535
|
CONSISTENT
|
15
|
538.289151
|
1.338379
|
3.729535
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
16
|
574.175095
|
5.853424
|
16.311190
|
INCONSISTENT
|
15
|
538.289151
|
-30.032519
|
-83.688810
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
16
|
574.175095
|
-8.337098
|
-23.232211
|
CONSISTENT
|
16
|
574.175095
|
-8.337098
|
-23.232211
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
17
|
610.061038
|
13.358323
|
37.224388
|
CONSISTENT
|
17
|
610.061038
|
13.358323
|
37.224388
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
17
|
610.061038
|
1.709052
|
4.762454
|
CONSISTENT
|
17
|
610.061038
|
1.709052
|
4.762454
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
18
|
645.946981
|
17.227301
|
48.005706
|
INCONSISTENT
|
17
|
610.061038
|
-18.658643
|
-51.994294
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
18
|
645.946981
|
9.329321
|
25.997147
|
CONSISTENT
|
18
|
645.946981
|
9.329321
|
25.997147
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
19
|
681.832925
|
11.644578
|
32.448855
|
INCONSISTENT
|
18
|
645.946981
|
-24.241366
|
-67.551145
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
19
|
681.832925
|
-12.982956
|
-36.178390
|
INCONSISTENT
|
20
|
717.718868
|
22.902987
|
63.821610
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
21
|
753.604812
|
2.483674
|
6.921021
|
INCONSISTENT
|
22
|
789.490755
|
38.369617
|
106.921021
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
22
|
789.490755
|
6.998719
|
19.502676
|
CONSISTENT
|
22
|
789.490755
|
6.998719
|
19.502676
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
22
|
789.490755
|
-11.418838
|
-31.819807
|
CONSISTENT
|
22
|
789.490755
|
-11.418838
|
-31.819807
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
23
|
825.376698
|
-4.876547
|
-13.589017
|
CONSISTENT
|
23
|
825.376698
|
-4.876547
|
-13.589017
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
24
|
861.262642
|
-8.905549
|
-24.816259
|
CONSISTENT
|
24
|
861.262642
|
-8.905549
|
-24.816259
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
25
|
897.148585
|
12.789872
|
35.640340
|
CONSISTENT
|
25
|
897.148585
|
12.789872
|
35.640340
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
26
|
933.034529
|
15.105129
|
42.092048
|
INCONSISTENT
|
25
|
897.148585
|
-20.780815
|
-57.907952
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
27
|
968.920472
|
-15.105129
|
-42.092048
|
INCONSISTENT
|
28
|
1004.806416
|
20.780815
|
57.907952
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
28
|
1004.806416
|
-12.789872
|
-35.640340
|
CONSISTENT
|
28
|
1004.806416
|
-12.789872
|
-35.640340
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
29
|
1040.692359
|
8.905549
|
24.816259
|
CONSISTENT
|
29
|
1040.692359
|
8.905549
|
24.816259
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
30
|
1076.578302
|
4.876547
|
13.589017
|
CONSISTENT
|
30
|
1076.578302
|
4.876547
|
13.589017
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
31
|
1112.464246
|
11.418838
|
31.819807
|
CONSISTENT
|
31
|
1112.464246
|
11.418838
|
31.819807
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
31
|
1112.464246
|
-6.998719
|
-19.502676
|
CONSISTENT
|
31
|
1112.464246
|
-6.998719
|
-19.502676
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
32
|
1148.350189
|
-2.483674
|
-6.921021
|
INCONSISTENT
|
31
|
1112.464246
|
-38.369617
|
-106.921021
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
34
|
1220.122076
|
12.982956
|
36.178390
|
INCONSISTENT
|
33
|
1184.236133
|
-22.902987
|
-63.821610
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
34
|
1220.122076
|
-11.644578
|
-32.448855
|
INCONSISTENT
|
35
|
1256.008019
|
24.241366
|
67.551145
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
35
|
1256.008019
|
-9.329321
|
-25.997147
|
CONSISTENT
|
35
|
1256.008019
|
-9.329321
|
-25.997147
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
35
|
1256.008019
|
-17.227301
|
-48.005706
|
INCONSISTENT
|
36
|
1291.893963
|
18.658643
|
51.994294
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
36
|
1291.893963
|
-1.709052
|
-4.762454
|
CONSISTENT
|
36
|
1291.893963
|
-1.709052
|
-4.762454
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
37
|
1327.779906
|
8.337098
|
23.232211
|
CONSISTENT
|
37
|
1327.779906
|
8.337098
|
23.232211
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
37
|
1327.779906
|
-5.853424
|
-16.311190
|
INCONSISTENT
|
38
|
1363.665850
|
30.032519
|
83.688810
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
38
|
1363.665850
|
-1.338379
|
-3.729535
|
CONSISTENT
|
38
|
1363.665850
|
-1.338379
|
-3.729535
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
40
|
1435.437737
|
-17.242647
|
-48.048470
|
CONSISTENT
|
40
|
1435.437737
|
-17.242647
|
-48.048470
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
41
|
1471.323680
|
4.452774
|
12.408129
|
CONSISTENT
|
41
|
1471.323680
|
4.452774
|
12.408129
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
42
|
1507.209623
|
-13.766750
|
-38.362513
|
INCONSISTENT
|
43
|
1543.095567
|
22.119194
|
61.637487
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
43
|
1543.095567
|
-11.451493
|
-31.910805
|
CONSISTENT
|
43
|
1543.095567
|
-11.451493
|
-31.910805
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
45
|
1614.867454
|
14.758973
|
41.127449
|
INCONSISTENT
|
44
|
1578.981510
|
-21.126970
|
-58.872551
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
45
|
1614.867454
|
2.122172
|
5.913658
|
CONSISTENT
|
45
|
1614.867454
|
2.122172
|
5.913658
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
45
|
1614.867454
|
-9.496892
|
-26.464100
|
CONSISTENT
|
45
|
1614.867454
|
-9.496892
|
-26.464100
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
46
|
1650.753397
|
-3.460551
|
-9.643193
|
CONSISTENT
|
46
|
1650.753397
|
-3.460551
|
-9.643193
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
46
|
1650.753397
|
-12.031034
|
-33.525757
|
CONSISTENT
|
46
|
1650.753397
|
-12.031034
|
-33.525757
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
47
|
1686.639340
|
-13.782096
|
-38.405276
|
CONSISTENT
|
47
|
1686.639340
|
-13.782096
|
-38.405276
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
49
|
1758.411227
|
3.884324
|
10.824081
|
CONSISTENT
|
49
|
1758.411227
|
3.884324
|
10.824081
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
49
|
1758.411227
|
-10.306199
|
-28.719320
|
INCONSISTENT
|
50
|
1794.297171
|
25.579745
|
71.280680
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
50
|
1794.297171
|
16.054361
|
44.737186
|
CONSISTENT
|
50
|
1794.297171
|
16.054361
|
44.737186
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
51
|
1830.183114
|
15.904268
|
44.318935
|
CONSISTENT
|
51
|
1830.183114
|
15.904268
|
44.318935
|
31
|
3/1
|
1901.955001
|
cP5
|
53
|
1901.955001
|
0
|
0
|
CONSISTENT
|
53
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales