User:Contribution/JI intervals approximated by 37edt
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37edt divides the tritave in 37 equal steps and the octave in 23.344401 equal steps of 51.404189 cents each. Its 31-limit patent val is <23 37 54 66 81 86 95 99 106 113 116|.
| 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
|
-27.605770
|
INCONSISTENT
|
1
|
51.404189
|
37.213667
|
72.394230
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
102.808378
|
15.132224
|
29.437725
|
INCONSISTENT
|
1
|
51.404189
|
-36.271965
|
-70.562275
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
102.808378
|
-20.903813
|
-40.665583
|
CONSISTENT
|
2
|
102.808378
|
-20.903813
|
-40.665583
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
3
|
154.212568
|
20.974993
|
40.804053
|
CONSISTENT
|
3
|
154.212568
|
20.974993
|
40.804053
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
3
|
154.212568
|
6.784470
|
13.198283
|
INCONSISTENT
|
4
|
205.616757
|
58.188660
|
113.198283
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
4
|
205.616757
|
4.083192
|
7.943306
|
CONSISTENT
|
4
|
205.616757
|
4.083192
|
7.943306
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
5
|
257.020946
|
17.850376
|
34.725528
|
CONSISTENT
|
5
|
257.020946
|
17.850376
|
34.725528
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
5
|
257.020946
|
9.279893
|
18.052795
|
CONSISTENT
|
5
|
257.020946
|
9.279893
|
18.052795
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
5
|
257.020946
|
-20.569709
|
-40.015628
|
CONSISTENT
|
5
|
257.020946
|
-20.569709
|
-40.015628
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
6
|
308.425135
|
19.215416
|
37.381031
|
INCONSISTENT
|
5
|
257.020946
|
-32.188773
|
-62.618969
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
6
|
308.425135
|
6.578615
|
12.797819
|
INCONSISTENT
|
5
|
257.020946
|
-44.825574
|
-87.202181
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
7
|
359.829324
|
12.421384
|
24.164147
|
CONSISTENT
|
7
|
359.829324
|
12.421384
|
24.164147
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
7
|
359.829324
|
-21.149303
|
-41.143151
|
INCONSISTENT
|
8
|
411.233514
|
30.254886
|
58.856849
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
8
|
411.233514
|
-23.850582
|
-46.398128
|
CONSISTENT
|
8
|
411.233514
|
-23.850582
|
-46.398128
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
9
|
462.637703
|
13.363085
|
25.996101
|
CONSISTENT
|
9
|
462.637703
|
13.363085
|
25.996101
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
10
|
514.041892
|
-22.908880
|
-44.566174
|
CONSISTENT
|
10
|
514.041892
|
-22.908880
|
-44.566174
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
11
|
565.446081
|
-2.875589
|
-5.594075
|
CONSISTENT
|
11
|
565.446081
|
-2.875589
|
-5.594075
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
11
|
565.446081
|
-17.066111
|
-33.199845
|
INCONSISTENT
|
12
|
616.850271
|
34.338078
|
66.800155
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
12
|
616.850271
|
20.147555
|
39.194384
|
INCONSISTENT
|
13
|
668.254460
|
71.551745
|
139.194384
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
12
|
616.850271
|
8.498284
|
16.532279
|
CONSISTENT
|
12
|
616.850271
|
8.498284
|
16.532279
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
12
|
616.850271
|
-11.869410
|
-23.090356
|
INCONSISTENT
|
13
|
668.254460
|
39.534779
|
76.909644
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
12
|
616.850271
|
-19.767389
|
-38.454822
|
CONSISTENT
|
12
|
616.850271
|
-19.767389
|
-38.454822
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
13
|
668.254460
|
-1.933887
|
-3.762120
|
CONSISTENT
|
13
|
668.254460
|
-1.933887
|
-3.762120
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
14
|
719.658649
|
24.842768
|
48.328294
|
CONSISTENT
|
14
|
719.658649
|
24.842768
|
48.328294
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
15
|
771.062838
|
19.941700
|
38.793920
|
INCONSISTENT
|
14
|
719.658649
|
-31.462489
|
-61.206080
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
15
|
771.062838
|
-11.429198
|
-22.233981
|
CONSISTENT
|
15
|
771.062838
|
-11.429198
|
-22.233981
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
16
|
822.467027
|
21.557434
|
41.937116
|
CONSISTENT
|
16
|
822.467027
|
21.557434
|
41.937116
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
16
|
822.467027
|
-7.786218
|
-15.147050
|
INCONSISTENT
|
17
|
873.871217
|
43.617971
|
84.852950
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
17
|
873.871217
|
3.703026
|
7.203744
|
INCONSISTENT
|
16
|
822.467027
|
-47.701163
|
-92.796256
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
17
|
873.871217
|
-10.487496
|
-20.402027
|
CONSISTENT
|
17
|
873.871217
|
-10.487496
|
-20.402027
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
18
|
925.275406
|
7.346006
|
14.290675
|
CONSISTENT
|
18
|
925.275406
|
7.346006
|
14.290675
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
19
|
976.679595
|
-7.346006
|
-14.290675
|
CONSISTENT
|
19
|
976.679595
|
-7.346006
|
-14.290675
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
20
|
1028.083784
|
10.487496
|
20.402027
|
CONSISTENT
|
20
|
1028.083784
|
10.487496
|
20.402027
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
20
|
1028.083784
|
-3.703026
|
-7.203744
|
INCONSISTENT
|
21
|
1079.487973
|
47.701163
|
92.796256
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
21
|
1079.487973
|
7.786218
|
15.147050
|
INCONSISTENT
|
20
|
1028.083784
|
-43.617971
|
-84.852950
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
21
|
1079.487973
|
-21.557434
|
-41.937116
|
CONSISTENT
|
21
|
1079.487973
|
-21.557434
|
-41.937116
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
22
|
1130.892163
|
11.429198
|
22.233981
|
CONSISTENT
|
22
|
1130.892163
|
11.429198
|
22.233981
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
22
|
1130.892163
|
-19.941700
|
-38.793920
|
INCONSISTENT
|
23
|
1182.296352
|
31.462489
|
61.206080
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
23
|
1182.296352
|
-24.842768
|
-48.328294
|
CONSISTENT
|
23
|
1182.296352
|
-24.842768
|
-48.328294
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
24
|
1233.700541
|
1.933887
|
3.762120
|
CONSISTENT
|
24
|
1233.700541
|
1.933887
|
3.762120
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
25
|
1285.104730
|
19.767389
|
38.454822
|
CONSISTENT
|
25
|
1285.104730
|
19.767389
|
38.454822
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
25
|
1285.104730
|
11.869410
|
23.090356
|
INCONSISTENT
|
24
|
1233.700541
|
-39.534779
|
-76.909644
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
25
|
1285.104730
|
-8.498284
|
-16.532279
|
CONSISTENT
|
25
|
1285.104730
|
-8.498284
|
-16.532279
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
26
|
1336.508920
|
17.066111
|
33.199845
|
INCONSISTENT
|
25
|
1285.104730
|
-34.338078
|
-66.800155
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
26
|
1336.508920
|
2.875589
|
5.594075
|
CONSISTENT
|
26
|
1336.508920
|
2.875589
|
5.594075
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
27
|
1387.913109
|
22.908880
|
44.566174
|
CONSISTENT
|
27
|
1387.913109
|
22.908880
|
44.566174
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
28
|
1439.317298
|
-13.363085
|
-25.996101
|
CONSISTENT
|
28
|
1439.317298
|
-13.363085
|
-25.996101
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
29
|
1490.721487
|
23.850582
|
46.398128
|
CONSISTENT
|
29
|
1490.721487
|
23.850582
|
46.398128
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
30
|
1542.125676
|
21.149303
|
41.143151
|
INCONSISTENT
|
29
|
1490.721487
|
-30.254886
|
-58.856849
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
30
|
1542.125676
|
-12.421384
|
-24.164147
|
CONSISTENT
|
30
|
1542.125676
|
-12.421384
|
-24.164147
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
31
|
1593.529866
|
-6.578615
|
-12.797819
|
INCONSISTENT
|
32
|
1644.934055
|
44.825574
|
87.202181
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
31
|
1593.529866
|
-19.215416
|
-37.381031
|
INCONSISTENT
|
32
|
1644.934055
|
32.188773
|
62.618969
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
32
|
1644.934055
|
20.569709
|
40.015628
|
CONSISTENT
|
32
|
1644.934055
|
20.569709
|
40.015628
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
32
|
1644.934055
|
-9.279893
|
-18.052795
|
CONSISTENT
|
32
|
1644.934055
|
-9.279893
|
-18.052795
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
32
|
1644.934055
|
-17.850376
|
-34.725528
|
CONSISTENT
|
32
|
1644.934055
|
-17.850376
|
-34.725528
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
33
|
1696.338244
|
-4.083192
|
-7.943306
|
CONSISTENT
|
33
|
1696.338244
|
-4.083192
|
-7.943306
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
34
|
1747.742433
|
-6.784470
|
-13.198283
|
INCONSISTENT
|
33
|
1696.338244
|
-58.188660
|
-113.198283
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
34
|
1747.742433
|
-20.974993
|
-40.804053
|
CONSISTENT
|
34
|
1747.742433
|
-20.974993
|
-40.804053
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
35
|
1799.146622
|
20.903813
|
40.665583
|
CONSISTENT
|
35
|
1799.146622
|
20.903813
|
40.665583
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
35
|
1799.146622
|
-15.132224
|
-29.437725
|
INCONSISTENT
|
36
|
1850.550812
|
36.271965
|
70.562275
|
31
|
3/1
|
1901.955001
|
cP5
|
37
|
1901.955001
|
0
|
0
|
CONSISTENT
|
37
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales