User:Contribution/JI intervals approximated by 50edt
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50edt divides the tritave in 50 equal steps and the octave in 31.546488 equal steps of 38.039100 cents each. Its 31-limit patent val is <32 50 73 89 109 117 129 134 143 153 156|.
| 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
|
-37.305095
|
INCONSISTENT
|
1
|
38.039100
|
23.848578
|
62.694905
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
76.078200
|
-11.597955
|
-30.489561
|
CONSISTENT
|
2
|
76.078200
|
-11.597955
|
-30.489561
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
114.117300
|
-9.594892
|
-25.223761
|
CONSISTENT
|
3
|
114.117300
|
-9.594892
|
-25.223761
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
152.156400
|
18.918825
|
49.735207
|
CONSISTENT
|
4
|
152.156400
|
18.918825
|
49.735207
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
152.156400
|
4.728303
|
12.430112
|
INCONSISTENT
|
5
|
190.195500
|
42.767403
|
112.430112
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
5
|
190.195500
|
-11.338065
|
-29.806343
|
INCONSISTENT
|
6
|
228.234600
|
26.701035
|
70.193657
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
6
|
228.234600
|
-10.935970
|
-28.749286
|
CONSISTENT
|
6
|
228.234600
|
-10.935970
|
-28.749286
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
266.273700
|
18.532647
|
48.719994
|
INCONSISTENT
|
6
|
228.234600
|
-19.506453
|
-51.280006
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
7
|
266.273700
|
-11.316955
|
-29.750849
|
CONSISTENT
|
7
|
266.273700
|
-11.316955
|
-29.750849
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
8
|
304.312800
|
15.103081
|
39.704096
|
CONSISTENT
|
8
|
304.312800
|
15.103081
|
39.704096
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
8
|
304.312800
|
2.466280
|
6.483539
|
INCONSISTENT
|
7
|
266.273700
|
-35.572820
|
-93.516461
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
9
|
342.351900
|
-5.056040
|
-13.291693
|
CONSISTENT
|
9
|
342.351900
|
-5.056040
|
-13.291693
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
10
|
380.391000
|
-0.587628
|
-1.544799
|
CONSISTENT
|
10
|
380.391000
|
-0.587628
|
-1.544799
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
11
|
418.430100
|
-16.653995
|
-43.781254
|
CONSISTENT
|
11
|
418.430100
|
-16.653995
|
-43.781254
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
12
|
456.469200
|
7.194582
|
18.913651
|
CONSISTENT
|
12
|
456.469200
|
7.194582
|
18.913651
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
14
|
532.547400
|
-4.403372
|
-11.575910
|
CONSISTENT
|
14
|
532.547400
|
-4.403372
|
-11.575910
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
15
|
570.586500
|
2.264830
|
5.953953
|
CONSISTENT
|
15
|
570.586500
|
2.264830
|
5.953953
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
15
|
570.586500
|
-11.925692
|
-31.351142
|
INCONSISTENT
|
16
|
608.625600
|
26.113408
|
68.648858
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
16
|
608.625600
|
11.922885
|
31.343763
|
INCONSISTENT
|
17
|
646.664700
|
49.961985
|
131.343763
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
16
|
608.625600
|
0.273614
|
0.719296
|
CONSISTENT
|
16
|
608.625600
|
0.273614
|
0.719296
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
17
|
646.664700
|
17.945020
|
47.175195
|
INCONSISTENT
|
16
|
608.625600
|
-20.094081
|
-52.824805
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
17
|
646.664700
|
10.047040
|
26.412403
|
CONSISTENT
|
17
|
646.664700
|
10.047040
|
26.412403
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
18
|
684.703800
|
14.515453
|
38.159297
|
CONSISTENT
|
18
|
684.703800
|
14.515453
|
38.159297
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
18
|
684.703800
|
-10.112081
|
-26.583386
|
CONSISTENT
|
18
|
684.703800
|
-10.112081
|
-26.583386
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
20
|
760.782000
|
9.660862
|
25.397189
|
INCONSISTENT
|
19
|
722.742900
|
-28.378238
|
-74.602811
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
21
|
798.821100
|
16.329064
|
42.927053
|
INCONSISTENT
|
20
|
760.782000
|
-21.710036
|
-57.072947
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
21
|
798.821100
|
-2.088493
|
-5.490384
|
CONSISTENT
|
21
|
798.821100
|
-2.088493
|
-5.490384
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
22
|
836.860200
|
6.606955
|
17.368852
|
CONSISTENT
|
22
|
836.860200
|
6.606955
|
17.368852
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
23
|
874.899300
|
4.731110
|
12.437492
|
INCONSISTENT
|
22
|
836.860200
|
-33.307990
|
-87.562508
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
23
|
874.899300
|
-9.459413
|
-24.867604
|
CONSISTENT
|
23
|
874.899300
|
-9.459413
|
-24.867604
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
24
|
912.938400
|
-4.991000
|
-13.120709
|
CONSISTENT
|
24
|
912.938400
|
-4.991000
|
-13.120709
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
26
|
989.016600
|
4.991000
|
13.120709
|
CONSISTENT
|
26
|
989.016600
|
4.991000
|
13.120709
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
27
|
1027.055700
|
9.459413
|
24.867604
|
CONSISTENT
|
27
|
1027.055700
|
9.459413
|
24.867604
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
27
|
1027.055700
|
-4.731110
|
-12.437492
|
INCONSISTENT
|
28
|
1065.094800
|
33.307990
|
87.562508
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
28
|
1065.094800
|
-6.606955
|
-17.368852
|
CONSISTENT
|
28
|
1065.094800
|
-6.606955
|
-17.368852
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
29
|
1103.133901
|
2.088493
|
5.490384
|
CONSISTENT
|
29
|
1103.133901
|
2.088493
|
5.490384
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
29
|
1103.133901
|
-16.329064
|
-42.927053
|
INCONSISTENT
|
30
|
1141.173001
|
21.710036
|
57.072947
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
30
|
1141.173001
|
-9.660862
|
-25.397189
|
INCONSISTENT
|
31
|
1179.212101
|
28.378238
|
74.602811
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
32
|
1217.251201
|
10.112081
|
26.583386
|
CONSISTENT
|
32
|
1217.251201
|
10.112081
|
26.583386
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
32
|
1217.251201
|
-14.515453
|
-38.159297
|
CONSISTENT
|
32
|
1217.251201
|
-14.515453
|
-38.159297
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
33
|
1255.290301
|
-10.047040
|
-26.412403
|
CONSISTENT
|
33
|
1255.290301
|
-10.047040
|
-26.412403
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
33
|
1255.290301
|
-17.945020
|
-47.175195
|
INCONSISTENT
|
34
|
1293.329401
|
20.094081
|
52.824805
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
34
|
1293.329401
|
-0.273614
|
-0.719296
|
CONSISTENT
|
34
|
1293.329401
|
-0.273614
|
-0.719296
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
35
|
1331.368501
|
11.925692
|
31.351142
|
INCONSISTENT
|
34
|
1293.329401
|
-26.113408
|
-68.648858
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
35
|
1331.368501
|
-2.264830
|
-5.953953
|
CONSISTENT
|
35
|
1331.368501
|
-2.264830
|
-5.953953
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
36
|
1369.407601
|
4.403372
|
11.575910
|
CONSISTENT
|
36
|
1369.407601
|
4.403372
|
11.575910
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
38
|
1445.485801
|
-7.194582
|
-18.913651
|
CONSISTENT
|
38
|
1445.485801
|
-7.194582
|
-18.913651
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
39
|
1483.524901
|
16.653995
|
43.781254
|
CONSISTENT
|
39
|
1483.524901
|
16.653995
|
43.781254
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
40
|
1521.564001
|
0.587628
|
1.544799
|
CONSISTENT
|
40
|
1521.564001
|
0.587628
|
1.544799
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
41
|
1559.603101
|
5.056040
|
13.291693
|
CONSISTENT
|
41
|
1559.603101
|
5.056040
|
13.291693
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
42
|
1597.642201
|
-2.466280
|
-6.483539
|
INCONSISTENT
|
43
|
1635.681301
|
35.572820
|
93.516461
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
42
|
1597.642201
|
-15.103081
|
-39.704096
|
CONSISTENT
|
42
|
1597.642201
|
-15.103081
|
-39.704096
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
43
|
1635.681301
|
11.316955
|
29.750849
|
CONSISTENT
|
43
|
1635.681301
|
11.316955
|
29.750849
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
43
|
1635.681301
|
-18.532647
|
-48.719994
|
INCONSISTENT
|
44
|
1673.720401
|
19.506453
|
51.280006
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
44
|
1673.720401
|
10.935970
|
28.749286
|
CONSISTENT
|
44
|
1673.720401
|
10.935970
|
28.749286
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
45
|
1711.759501
|
11.338065
|
29.806343
|
INCONSISTENT
|
44
|
1673.720401
|
-26.701035
|
-70.193657
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
46
|
1749.798601
|
-4.728303
|
-12.430112
|
INCONSISTENT
|
45
|
1711.759501
|
-42.767403
|
-112.430112
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
46
|
1749.798601
|
-18.918825
|
-49.735207
|
CONSISTENT
|
46
|
1749.798601
|
-18.918825
|
-49.735207
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
47
|
1787.837701
|
9.594892
|
25.223761
|
CONSISTENT
|
47
|
1787.837701
|
9.594892
|
25.223761
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
48
|
1825.876801
|
11.597955
|
30.489561
|
CONSISTENT
|
48
|
1825.876801
|
11.597955
|
30.489561
|
31
|
3/1
|
1901.955001
|
cP5
|
50
|
1901.955001
|
0
|
0
|
CONSISTENT
|
50
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales