User:Contribution/JI intervals approximated by 52edt
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52edt divides the tritave in 52 equal steps and the octave in 32.808347 equal steps of 36.576058 cents each. Its 31-limit patent val is <33 52 76 92 113 121 134 139 148 159 163|.
| 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
|
-38.797299
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-38.797299
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
73.152115
|
-14.524039
|
-39.709143
|
INCONSISTENT
|
3
|
109.728173
|
22.052018
|
60.290857
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
109.728173
|
-13.984018
|
-38.232711
|
CONSISTENT
|
3
|
109.728173
|
-13.984018
|
-38.232711
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
146.304231
|
13.066656
|
35.724615
|
CONSISTENT
|
4
|
146.304231
|
13.066656
|
35.724615
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
146.304231
|
-1.123867
|
-3.072684
|
CONSISTENT
|
4
|
146.304231
|
-1.123867
|
-3.072684
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
219.456346
|
17.922781
|
49.001403
|
INCONSISTENT
|
5
|
182.880289
|
-18.653276
|
-50.998597
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
256.032404
|
16.861834
|
46.100742
|
CONSISTENT
|
7
|
256.032404
|
16.861834
|
46.100742
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
256.032404
|
8.291351
|
22.668794
|
CONSISTENT
|
7
|
256.032404
|
8.291351
|
22.668794
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
292.608462
|
15.017806
|
41.059117
|
CONSISTENT
|
8
|
292.608462
|
15.017806
|
41.059117
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
8
|
292.608462
|
3.398742
|
9.292260
|
CONSISTENT
|
8
|
292.608462
|
3.398742
|
9.292260
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
8
|
292.608462
|
-9.238059
|
-25.257120
|
CONSISTENT
|
8
|
292.608462
|
-9.238059
|
-25.257120
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
9
|
329.184519
|
-18.223421
|
-49.823361
|
CONSISTENT
|
9
|
329.184519
|
-18.223421
|
-49.823361
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
10
|
365.760577
|
-15.218051
|
-41.606591
|
INCONSISTENT
|
11
|
402.336635
|
21.358007
|
58.393409
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
12
|
438.912693
|
3.828597
|
10.467496
|
CONSISTENT
|
12
|
438.912693
|
3.828597
|
10.467496
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
12
|
438.912693
|
-10.361925
|
-28.329803
|
CONSISTENT
|
12
|
438.912693
|
-10.361925
|
-28.329803
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
15
|
548.640866
|
11.690093
|
31.961053
|
CONSISTENT
|
15
|
548.640866
|
11.690093
|
31.961053
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
16
|
585.216923
|
16.895253
|
46.192111
|
CONSISTENT
|
16
|
585.216923
|
16.895253
|
46.192111
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
16
|
585.216923
|
2.704731
|
7.394812
|
CONSISTENT
|
16
|
585.216923
|
2.704731
|
7.394812
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
16
|
585.216923
|
-11.485792
|
-31.402487
|
CONSISTENT
|
16
|
585.216923
|
-11.485792
|
-31.402487
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
17
|
621.792981
|
13.440995
|
36.748068
|
CONSISTENT
|
17
|
621.792981
|
13.440995
|
36.748068
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
17
|
621.792981
|
-6.926700
|
-18.937797
|
INCONSISTENT
|
18
|
658.369039
|
29.649358
|
81.062203
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
17
|
621.792981
|
-14.824679
|
-40.531101
|
CONSISTENT
|
17
|
621.792981
|
-14.824679
|
-40.531101
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
18
|
658.369039
|
-11.819308
|
-32.314331
|
INCONSISTENT
|
19
|
694.945096
|
24.756749
|
67.685669
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
19
|
694.945096
|
0.129215
|
0.353278
|
INCONSISTENT
|
18
|
658.369039
|
-36.446843
|
-99.646722
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
21
|
768.097212
|
16.976074
|
46.413077
|
INCONSISTENT
|
20
|
731.521154
|
-19.599984
|
-53.586923
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
21
|
768.097212
|
-14.394824
|
-39.355865
|
CONSISTENT
|
21
|
768.097212
|
-14.394824
|
-39.355865
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
22
|
804.673270
|
3.763677
|
10.290000
|
CONSISTENT
|
22
|
804.673270
|
3.763677
|
10.290000
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
23
|
841.249327
|
10.996082
|
30.063606
|
CONSISTENT
|
23
|
841.249327
|
10.996082
|
30.063606
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
24
|
877.825385
|
7.657194
|
20.934991
|
CONSISTENT
|
24
|
877.825385
|
7.657194
|
20.934991
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
24
|
877.825385
|
-6.533328
|
-17.862308
|
CONSISTENT
|
24
|
877.825385
|
-6.533328
|
-17.862308
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
25
|
914.401443
|
-3.527957
|
-9.645538
|
INCONSISTENT
|
26
|
950.977500
|
33.048100
|
90.354462
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
27
|
987.553558
|
3.527957
|
9.645538
|
INCONSISTENT
|
26
|
950.977500
|
-33.048100
|
-90.354462
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
28
|
1024.129616
|
6.533328
|
17.862308
|
CONSISTENT
|
28
|
1024.129616
|
6.533328
|
17.862308
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
28
|
1024.129616
|
-7.657194
|
-20.934991
|
CONSISTENT
|
28
|
1024.129616
|
-7.657194
|
-20.934991
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
29
|
1060.705674
|
-10.996082
|
-30.063606
|
CONSISTENT
|
29
|
1060.705674
|
-10.996082
|
-30.063606
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
30
|
1097.281731
|
-3.763677
|
-10.290000
|
CONSISTENT
|
30
|
1097.281731
|
-3.763677
|
-10.290000
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
31
|
1133.857789
|
14.394824
|
39.355865
|
CONSISTENT
|
31
|
1133.857789
|
14.394824
|
39.355865
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
31
|
1133.857789
|
-16.976074
|
-46.413077
|
INCONSISTENT
|
32
|
1170.433847
|
19.599984
|
53.586923
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
33
|
1207.009904
|
-0.129215
|
-0.353278
|
INCONSISTENT
|
34
|
1243.585962
|
36.446843
|
99.646722
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
34
|
1243.585962
|
11.819308
|
32.314331
|
INCONSISTENT
|
33
|
1207.009904
|
-24.756749
|
-67.685669
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
35
|
1280.162020
|
14.824679
|
40.531101
|
CONSISTENT
|
35
|
1280.162020
|
14.824679
|
40.531101
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
35
|
1280.162020
|
6.926700
|
18.937797
|
INCONSISTENT
|
34
|
1243.585962
|
-29.649358
|
-81.062203
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
35
|
1280.162020
|
-13.440995
|
-36.748068
|
CONSISTENT
|
35
|
1280.162020
|
-13.440995
|
-36.748068
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
36
|
1316.738078
|
-2.704731
|
-7.394812
|
CONSISTENT
|
36
|
1316.738078
|
-2.704731
|
-7.394812
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
36
|
1316.738078
|
-16.895253
|
-46.192111
|
CONSISTENT
|
36
|
1316.738078
|
-16.895253
|
-46.192111
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
37
|
1353.314135
|
-11.690093
|
-31.961053
|
CONSISTENT
|
37
|
1353.314135
|
-11.690093
|
-31.961053
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
40
|
1463.042308
|
10.361925
|
28.329803
|
CONSISTENT
|
40
|
1463.042308
|
10.361925
|
28.329803
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
40
|
1463.042308
|
-3.828597
|
-10.467496
|
CONSISTENT
|
40
|
1463.042308
|
-3.828597
|
-10.467496
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
42
|
1536.194424
|
15.218051
|
41.606591
|
INCONSISTENT
|
41
|
1499.618366
|
-21.358007
|
-58.393409
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
43
|
1572.770481
|
18.223421
|
49.823361
|
CONSISTENT
|
43
|
1572.770481
|
18.223421
|
49.823361
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
44
|
1609.346539
|
9.238059
|
25.257120
|
CONSISTENT
|
44
|
1609.346539
|
9.238059
|
25.257120
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
44
|
1609.346539
|
-3.398742
|
-9.292260
|
CONSISTENT
|
44
|
1609.346539
|
-3.398742
|
-9.292260
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
44
|
1609.346539
|
-15.017806
|
-41.059117
|
CONSISTENT
|
44
|
1609.346539
|
-15.017806
|
-41.059117
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
45
|
1645.922597
|
-8.291351
|
-22.668794
|
CONSISTENT
|
45
|
1645.922597
|
-8.291351
|
-22.668794
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
45
|
1645.922597
|
-16.861834
|
-46.100742
|
CONSISTENT
|
45
|
1645.922597
|
-16.861834
|
-46.100742
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
46
|
1682.498655
|
-17.922781
|
-49.001403
|
INCONSISTENT
|
47
|
1719.074712
|
18.653276
|
50.998597
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
48
|
1755.650770
|
1.123867
|
3.072684
|
CONSISTENT
|
48
|
1755.650770
|
1.123867
|
3.072684
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
48
|
1755.650770
|
-13.066656
|
-35.724615
|
CONSISTENT
|
48
|
1755.650770
|
-13.066656
|
-35.724615
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
49
|
1792.226828
|
13.984018
|
38.232711
|
CONSISTENT
|
49
|
1792.226828
|
13.984018
|
38.232711
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
50
|
1828.802885
|
14.524039
|
39.709143
|
INCONSISTENT
|
49
|
1792.226828
|
-22.052018
|
-60.290857
|
31
|
3/1
|
1901.955001
|
cP5
|
52
|
1901.955001
|
0
|
0
|
CONSISTENT
|
52
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales