User:Contribution/JI intervals approximated by 31edt
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31edt divides the tritave in 31 equal steps and the octave in 19.558822 equal steps of 61.353387 cents each. Its 31-limit patent val is <20 31 45 55 68 72 80 83 88 95 97|.
| 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
|
-23.129159
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-23.129159
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
61.353387
|
-26.322768
|
-42.903528
|
CONSISTENT
|
1
|
61.353387
|
-26.322768
|
-42.903528
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
122.706774
|
-1.005417
|
-1.638732
|
CONSISTENT
|
2
|
122.706774
|
-1.005417
|
-1.638732
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
122.706774
|
-10.530801
|
-17.164172
|
INCONSISTENT
|
3
|
184.060161
|
50.822587
|
82.835828
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
2
|
122.706774
|
-24.721323
|
-40.293331
|
INCONSISTENT
|
3
|
184.060161
|
36.632064
|
59.706669
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
3
|
184.060161
|
-17.473403
|
-28.479933
|
CONSISTENT
|
3
|
184.060161
|
-17.473403
|
-28.479933
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
4
|
245.413548
|
6.242979
|
10.175443
|
CONSISTENT
|
4
|
245.413548
|
6.242979
|
10.175443
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
4
|
245.413548
|
-2.327504
|
-3.793604
|
CONSISTENT
|
4
|
245.413548
|
-2.327504
|
-3.793604
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
5
|
306.766936
|
29.176280
|
47.554474
|
CONSISTENT
|
5
|
306.766936
|
29.176280
|
47.554474
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
5
|
306.766936
|
17.557216
|
28.616539
|
INCONSISTENT
|
4
|
245.413548
|
-43.796171
|
-71.383461
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
5
|
306.766936
|
4.920415
|
8.019794
|
INCONSISTENT
|
4
|
245.413548
|
-56.432972
|
-91.980206
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
6
|
368.120323
|
20.712382
|
33.759150
|
CONSISTENT
|
6
|
368.120323
|
20.712382
|
33.759150
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
6
|
368.120323
|
-12.858305
|
-20.957775
|
INCONSISTENT
|
7
|
429.473710
|
48.495082
|
79.042225
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
7
|
429.473710
|
-5.610385
|
-9.144378
|
CONSISTENT
|
7
|
429.473710
|
-5.610385
|
-9.144378
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
7
|
429.473710
|
-19.800908
|
-32.273537
|
CONSISTENT
|
7
|
429.473710
|
-19.800908
|
-32.273537
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
9
|
552.180484
|
15.229712
|
24.822936
|
INCONSISTENT
|
8
|
490.827097
|
-46.123675
|
-75.177064
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
9
|
552.180484
|
-16.141186
|
-26.308549
|
INCONSISTENT
|
10
|
613.533871
|
45.212201
|
73.691451
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
9
|
552.180484
|
-30.331708
|
-49.437708
|
INCONSISTENT
|
10
|
613.533871
|
31.021679
|
50.562292
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
10
|
613.533871
|
16.831156
|
27.433133
|
CONSISTENT
|
10
|
613.533871
|
16.831156
|
27.433133
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
10
|
613.533871
|
5.181885
|
8.445964
|
CONSISTENT
|
10
|
613.533871
|
5.181885
|
8.445964
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
10
|
613.533871
|
-15.185810
|
-24.751379
|
INCONSISTENT
|
11
|
674.887258
|
46.167578
|
75.248621
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
10
|
613.533871
|
-23.083789
|
-37.624310
|
CONSISTENT
|
10
|
613.533871
|
-23.083789
|
-37.624310
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
11
|
674.887258
|
4.698911
|
7.658764
|
CONSISTENT
|
11
|
674.887258
|
4.698911
|
7.658764
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
11
|
674.887258
|
-19.928623
|
-32.481700
|
INCONSISTENT
|
12
|
736.240645
|
41.424764
|
67.518300
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
12
|
736.240645
|
-14.880493
|
-24.253743
|
INCONSISTENT
|
11
|
674.887258
|
-76.233880
|
-124.253743
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
13
|
797.594033
|
15.101997
|
24.614773
|
CONSISTENT
|
13
|
797.594033
|
15.101997
|
24.614773
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
13
|
797.594033
|
-3.315560
|
-5.404038
|
CONSISTENT
|
13
|
797.594033
|
-3.315560
|
-5.404038
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
14
|
858.947420
|
28.694174
|
46.768688
|
CONSISTENT
|
14
|
858.947420
|
28.694174
|
46.768688
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
14
|
858.947420
|
-11.220771
|
-18.288755
|
CONSISTENT
|
14
|
858.947420
|
-11.220771
|
-18.288755
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
14
|
858.947420
|
-25.411293
|
-41.417914
|
CONSISTENT
|
14
|
858.947420
|
-25.411293
|
-41.417914
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
15
|
920.300807
|
2.371407
|
3.865160
|
CONSISTENT
|
15
|
920.300807
|
2.371407
|
3.865160
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
16
|
981.654194
|
-2.371407
|
-3.865160
|
CONSISTENT
|
16
|
981.654194
|
-2.371407
|
-3.865160
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
17
|
1043.007581
|
25.411293
|
41.417914
|
CONSISTENT
|
17
|
1043.007581
|
25.411293
|
41.417914
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
17
|
1043.007581
|
11.220771
|
18.288755
|
CONSISTENT
|
17
|
1043.007581
|
11.220771
|
18.288755
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
17
|
1043.007581
|
-28.694174
|
-46.768688
|
CONSISTENT
|
17
|
1043.007581
|
-28.694174
|
-46.768688
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
18
|
1104.360968
|
3.315560
|
5.404038
|
CONSISTENT
|
18
|
1104.360968
|
3.315560
|
5.404038
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
18
|
1104.360968
|
-15.101997
|
-24.614773
|
CONSISTENT
|
18
|
1104.360968
|
-15.101997
|
-24.614773
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
19
|
1165.714355
|
14.880493
|
24.253743
|
INCONSISTENT
|
20
|
1227.067742
|
76.233880
|
124.253743
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
20
|
1227.067742
|
19.928623
|
32.481700
|
INCONSISTENT
|
19
|
1165.714355
|
-41.424764
|
-67.518300
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
20
|
1227.067742
|
-4.698911
|
-7.658764
|
CONSISTENT
|
20
|
1227.067742
|
-4.698911
|
-7.658764
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
21
|
1288.421130
|
23.083789
|
37.624310
|
CONSISTENT
|
21
|
1288.421130
|
23.083789
|
37.624310
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
21
|
1288.421130
|
15.185810
|
24.751379
|
INCONSISTENT
|
20
|
1227.067742
|
-46.167578
|
-75.248621
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
21
|
1288.421130
|
-5.181885
|
-8.445964
|
CONSISTENT
|
21
|
1288.421130
|
-5.181885
|
-8.445964
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
22
|
1349.774517
|
30.331708
|
49.437708
|
INCONSISTENT
|
21
|
1288.421130
|
-31.021679
|
-50.562292
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
22
|
1349.774517
|
16.141186
|
26.308549
|
INCONSISTENT
|
21
|
1288.421130
|
-45.212201
|
-73.691451
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
22
|
1349.774517
|
-15.229712
|
-24.822936
|
INCONSISTENT
|
23
|
1411.127904
|
46.123675
|
75.177064
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
24
|
1472.481291
|
19.800908
|
32.273537
|
CONSISTENT
|
24
|
1472.481291
|
19.800908
|
32.273537
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
24
|
1472.481291
|
5.610385
|
9.144378
|
CONSISTENT
|
24
|
1472.481291
|
5.610385
|
9.144378
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
25
|
1533.834678
|
12.858305
|
20.957775
|
INCONSISTENT
|
24
|
1472.481291
|
-48.495082
|
-79.042225
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
25
|
1533.834678
|
-20.712382
|
-33.759150
|
CONSISTENT
|
25
|
1533.834678
|
-20.712382
|
-33.759150
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
26
|
1595.188065
|
-4.920415
|
-8.019794
|
INCONSISTENT
|
27
|
1656.541452
|
56.432972
|
91.980206
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
26
|
1595.188065
|
-17.557216
|
-28.616539
|
INCONSISTENT
|
27
|
1656.541452
|
43.796171
|
71.383461
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
26
|
1595.188065
|
-29.176280
|
-47.554474
|
CONSISTENT
|
26
|
1595.188065
|
-29.176280
|
-47.554474
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
27
|
1656.541452
|
2.327504
|
3.793604
|
CONSISTENT
|
27
|
1656.541452
|
2.327504
|
3.793604
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
27
|
1656.541452
|
-6.242979
|
-10.175443
|
CONSISTENT
|
27
|
1656.541452
|
-6.242979
|
-10.175443
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
28
|
1717.894839
|
17.473403
|
28.479933
|
CONSISTENT
|
28
|
1717.894839
|
17.473403
|
28.479933
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
29
|
1779.248227
|
24.721323
|
40.293331
|
INCONSISTENT
|
28
|
1717.894839
|
-36.632064
|
-59.706669
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
29
|
1779.248227
|
10.530801
|
17.164172
|
INCONSISTENT
|
28
|
1717.894839
|
-50.822587
|
-82.835828
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
29
|
1779.248227
|
1.005417
|
1.638732
|
CONSISTENT
|
29
|
1779.248227
|
1.005417
|
1.638732
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
30
|
1840.601614
|
26.322768
|
42.903528
|
CONSISTENT
|
30
|
1840.601614
|
26.322768
|
42.903528
|
31
|
3/1
|
1901.955001
|
cP5
|
31
|
1901.955001
|
0
|
0
|
CONSISTENT
|
31
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales