User:Contribution/JI intervals approximated by 20edt
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20edt divides the tritave in 20 equal steps and the octave in 12.618595 equal steps of 95.097750 cents each. Its 31-limit patent val is <13 20 29 35 44 47 52 54 57 61 63|.
| 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
|
-14.922038
|
INCONSISTENT
|
-1
|
-95.097750
|
-109.288273
|
-114.922038
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
95.097750
|
7.421595
|
7.804176
|
CONSISTENT
|
1
|
95.097750
|
7.421595
|
7.804176
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
95.097750
|
-28.614442
|
-30.089504
|
CONSISTENT
|
1
|
95.097750
|
-28.614442
|
-30.089504
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
95.097750
|
-38.139825
|
-40.105917
|
INCONSISTENT
|
2
|
190.195500
|
56.957925
|
59.894083
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
2
|
190.195500
|
42.767403
|
44.972045
|
INCONSISTENT
|
1
|
95.097750
|
-52.330347
|
-55.027955
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
2
|
190.195500
|
-11.338065
|
-11.922537
|
CONSISTENT
|
2
|
190.195500
|
-11.338065
|
-11.922537
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
3
|
285.293250
|
46.122680
|
48.500285
|
CONSISTENT
|
3
|
285.293250
|
46.122680
|
48.500285
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
3
|
285.293250
|
37.552197
|
39.487998
|
INCONSISTENT
|
2
|
190.195500
|
-57.545553
|
-60.512002
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
3
|
285.293250
|
7.702595
|
8.099660
|
CONSISTENT
|
3
|
285.293250
|
7.702595
|
8.099660
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
3
|
285.293250
|
-3.916469
|
-4.118362
|
CONSISTENT
|
3
|
285.293250
|
-3.916469
|
-4.118362
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
3
|
285.293250
|
-16.553270
|
-17.406585
|
CONSISTENT
|
3
|
285.293250
|
-16.553270
|
-17.406585
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
4
|
380.391000
|
32.983060
|
34.683323
|
CONSISTENT
|
4
|
380.391000
|
32.983060
|
34.683323
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
4
|
380.391000
|
-0.587628
|
-0.617920
|
CONSISTENT
|
4
|
380.391000
|
-0.587628
|
-0.617920
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
5
|
475.488750
|
40.404655
|
42.487498
|
CONSISTENT
|
5
|
475.488750
|
40.404655
|
42.487498
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
5
|
475.488750
|
26.214132
|
27.565460
|
INCONSISTENT
|
4
|
380.391000
|
-68.883618
|
-72.434540
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
6
|
570.586500
|
33.635728
|
35.369636
|
INCONSISTENT
|
5
|
475.488750
|
-61.462022
|
-64.630364
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
6
|
570.586500
|
2.264830
|
2.381581
|
INCONSISTENT
|
7
|
665.684250
|
97.362580
|
102.381581
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
6
|
570.586500
|
-11.925692
|
-12.540457
|
CONSISTENT
|
6
|
570.586500
|
-11.925692
|
-12.540457
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
6
|
570.586500
|
-26.116215
|
-27.462495
|
INCONSISTENT
|
5
|
475.488750
|
-121.213965
|
-127.462495
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
6
|
570.586500
|
-37.765486
|
-39.712282
|
CONSISTENT
|
6
|
570.586500
|
-37.765486
|
-39.712282
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
7
|
665.684250
|
36.964570
|
38.870078
|
INCONSISTENT
|
6
|
570.586500
|
-58.133181
|
-61.129922
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
7
|
665.684250
|
29.066590
|
30.564961
|
CONSISTENT
|
7
|
665.684250
|
29.066590
|
30.564961
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
7
|
665.684250
|
-4.504097
|
-4.736281
|
CONSISTENT
|
7
|
665.684250
|
-4.504097
|
-4.736281
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
7
|
665.684250
|
-29.131631
|
-30.633355
|
INCONSISTENT
|
8
|
760.782000
|
65.966119
|
69.366645
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
8
|
760.782000
|
9.660862
|
10.158876
|
INCONSISTENT
|
7
|
665.684250
|
-85.436888
|
-89.841124
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
8
|
760.782000
|
-21.710036
|
-22.829179
|
INCONSISTENT
|
9
|
855.879750
|
73.387714
|
77.170821
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
8
|
760.782000
|
-40.127593
|
-42.196154
|
CONSISTENT
|
8
|
760.782000
|
-40.127593
|
-42.196154
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
9
|
855.879750
|
25.626505
|
26.947541
|
INCONSISTENT
|
8
|
760.782000
|
-69.471245
|
-73.052459
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
9
|
855.879750
|
-14.288440
|
-15.025003
|
INCONSISTENT
|
10
|
950.977500
|
80.809310
|
84.974997
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
9
|
855.879750
|
-28.478963
|
-29.947041
|
CONSISTENT
|
9
|
855.879750
|
-28.478963
|
-29.947041
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
10
|
950.977500
|
33.048100
|
34.751716
|
INCONSISTENT
|
9
|
855.879750
|
-62.049650
|
-65.248284
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
10
|
950.977500
|
-33.048100
|
-34.751716
|
INCONSISTENT
|
11
|
1046.075250
|
62.049650
|
65.248284
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
11
|
1046.075250
|
28.478963
|
29.947041
|
CONSISTENT
|
11
|
1046.075250
|
28.478963
|
29.947041
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
11
|
1046.075250
|
14.288440
|
15.025003
|
INCONSISTENT
|
10
|
950.977500
|
-80.809310
|
-84.974997
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
11
|
1046.075250
|
-25.626505
|
-26.947541
|
INCONSISTENT
|
12
|
1141.173001
|
69.471245
|
73.052459
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
12
|
1141.173001
|
40.127593
|
42.196154
|
CONSISTENT
|
12
|
1141.173001
|
40.127593
|
42.196154
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
12
|
1141.173001
|
21.710036
|
22.829179
|
INCONSISTENT
|
11
|
1046.075250
|
-73.387714
|
-77.170821
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
12
|
1141.173001
|
-9.660862
|
-10.158876
|
INCONSISTENT
|
13
|
1236.270751
|
85.436888
|
89.841124
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
13
|
1236.270751
|
29.131631
|
30.633355
|
INCONSISTENT
|
12
|
1141.173001
|
-65.966119
|
-69.366645
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
13
|
1236.270751
|
4.504097
|
4.736281
|
CONSISTENT
|
13
|
1236.270751
|
4.504097
|
4.736281
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
13
|
1236.270751
|
-29.066590
|
-30.564961
|
CONSISTENT
|
13
|
1236.270751
|
-29.066590
|
-30.564961
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
13
|
1236.270751
|
-36.964570
|
-38.870078
|
INCONSISTENT
|
14
|
1331.368501
|
58.133181
|
61.129922
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
14
|
1331.368501
|
37.765486
|
39.712282
|
CONSISTENT
|
14
|
1331.368501
|
37.765486
|
39.712282
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
14
|
1331.368501
|
11.925692
|
12.540457
|
CONSISTENT
|
14
|
1331.368501
|
11.925692
|
12.540457
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
14
|
1331.368501
|
-2.264830
|
-2.381581
|
INCONSISTENT
|
13
|
1236.270751
|
-97.362580
|
-102.381581
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
14
|
1331.368501
|
-33.635728
|
-35.369636
|
INCONSISTENT
|
15
|
1426.466251
|
61.462022
|
64.630364
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
15
|
1426.466251
|
-26.214132
|
-27.565460
|
INCONSISTENT
|
16
|
1521.564001
|
68.883618
|
72.434540
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
15
|
1426.466251
|
-40.404655
|
-42.487498
|
CONSISTENT
|
15
|
1426.466251
|
-40.404655
|
-42.487498
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
16
|
1521.564001
|
0.587628
|
0.617920
|
CONSISTENT
|
16
|
1521.564001
|
0.587628
|
0.617920
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
16
|
1521.564001
|
-32.983060
|
-34.683323
|
CONSISTENT
|
16
|
1521.564001
|
-32.983060
|
-34.683323
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
17
|
1616.661751
|
16.553270
|
17.406585
|
CONSISTENT
|
17
|
1616.661751
|
16.553270
|
17.406585
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
17
|
1616.661751
|
3.916469
|
4.118362
|
CONSISTENT
|
17
|
1616.661751
|
3.916469
|
4.118362
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
17
|
1616.661751
|
-7.702595
|
-8.099660
|
CONSISTENT
|
17
|
1616.661751
|
-7.702595
|
-8.099660
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
17
|
1616.661751
|
-37.552197
|
-39.487998
|
INCONSISTENT
|
18
|
1711.759501
|
57.545553
|
60.512002
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
17
|
1616.661751
|
-46.122680
|
-48.500285
|
CONSISTENT
|
17
|
1616.661751
|
-46.122680
|
-48.500285
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
18
|
1711.759501
|
11.338065
|
11.922537
|
CONSISTENT
|
18
|
1711.759501
|
11.338065
|
11.922537
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
18
|
1711.759501
|
-42.767403
|
-44.972045
|
INCONSISTENT
|
19
|
1806.857251
|
52.330347
|
55.027955
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
19
|
1806.857251
|
38.139825
|
40.105917
|
INCONSISTENT
|
18
|
1711.759501
|
-56.957925
|
-59.894083
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
19
|
1806.857251
|
28.614442
|
30.089504
|
CONSISTENT
|
19
|
1806.857251
|
28.614442
|
30.089504
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
19
|
1806.857251
|
-7.421595
|
-7.804176
|
CONSISTENT
|
19
|
1806.857251
|
-7.421595
|
-7.804176
|
31
|
3/1
|
1901.955001
|
cP5
|
20
|
1901.955001
|
0
|
0
|
CONSISTENT
|
20
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales