User:Contribution/JI intervals approximated by 36edt
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36edt divides the tritave in 36 equal steps and the octave in 22.713471 equal steps of 52.832083 cents each. Its 31-limit patent val is <23 36 53 64 79 84 93 96 103 110 113|.
| 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
|
-26.859669
|
INCONSISTENT
|
1
|
52.832083
|
38.641561
|
73.140331
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
105.664167
|
17.988012
|
34.047516
|
INCONSISTENT
|
1
|
52.832083
|
-34.844071
|
-65.952484
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
105.664167
|
-18.048025
|
-34.161108
|
CONSISTENT
|
2
|
105.664167
|
-18.048025
|
-34.161108
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
3
|
158.496250
|
25.258675
|
47.809349
|
INCONSISTENT
|
2
|
105.664167
|
-27.573408
|
-52.190651
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
3
|
158.496250
|
11.068153
|
20.949681
|
CONSISTENT
|
3
|
158.496250
|
11.068153
|
20.949681
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
4
|
211.328333
|
9.794769
|
18.539433
|
CONSISTENT
|
4
|
211.328333
|
9.794769
|
18.539433
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
5
|
264.160417
|
24.989847
|
47.300514
|
CONSISTENT
|
5
|
264.160417
|
24.989847
|
47.300514
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
5
|
264.160417
|
16.419364
|
31.078396
|
CONSISTENT
|
5
|
264.160417
|
16.419364
|
31.078396
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
5
|
264.160417
|
-13.430239
|
-25.420611
|
CONSISTENT
|
5
|
264.160417
|
-13.430239
|
-25.420611
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
5
|
264.160417
|
-25.049303
|
-47.413051
|
CONSISTENT
|
5
|
264.160417
|
-25.049303
|
-47.413051
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
6
|
316.992500
|
15.145980
|
28.668148
|
CONSISTENT
|
6
|
316.992500
|
15.145980
|
28.668148
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
7
|
369.824584
|
22.416643
|
42.429981
|
CONSISTENT
|
7
|
369.824584
|
22.416643
|
42.429981
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
7
|
369.824584
|
-11.154044
|
-21.112255
|
CONSISTENT
|
7
|
369.824584
|
-11.154044
|
-21.112255
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
8
|
422.656667
|
-12.427428
|
-23.522503
|
CONSISTENT
|
8
|
422.656667
|
-12.427428
|
-23.522503
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
9
|
475.488750
|
26.214132
|
49.617828
|
CONSISTENT
|
9
|
475.488750
|
26.214132
|
49.617828
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
10
|
528.320834
|
-8.629939
|
-16.334655
|
CONSISTENT
|
10
|
528.320834
|
-8.629939
|
-16.334655
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
11
|
581.152917
|
12.831247
|
24.286846
|
INCONSISTENT
|
10
|
528.320834
|
-40.000837
|
-75.713154
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
11
|
581.152917
|
-1.359276
|
-2.572822
|
CONSISTENT
|
11
|
581.152917
|
-1.359276
|
-2.572822
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
11
|
581.152917
|
-15.549798
|
-29.432491
|
INCONSISTENT
|
12
|
633.985000
|
37.282285
|
70.567509
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
12
|
633.985000
|
25.633014
|
48.517893
|
CONSISTENT
|
12
|
633.985000
|
25.633014
|
48.517893
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
12
|
633.985000
|
5.265320
|
9.966140
|
CONSISTENT
|
12
|
633.985000
|
5.265320
|
9.966140
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
12
|
633.985000
|
-2.632660
|
-4.983070
|
CONSISTENT
|
12
|
633.985000
|
-2.632660
|
-4.983070
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
13
|
686.817084
|
16.628736
|
31.474694
|
INCONSISTENT
|
12
|
633.985000
|
-36.203347
|
-68.525306
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
13
|
686.817084
|
-7.998798
|
-15.140038
|
INCONSISTENT
|
14
|
739.649167
|
44.833286
|
84.859962
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
14
|
739.649167
|
-11.471971
|
-21.714024
|
INCONSISTENT
|
15
|
792.481250
|
41.360112
|
78.285976
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
15
|
792.481250
|
9.989214
|
18.907478
|
CONSISTENT
|
15
|
792.481250
|
9.989214
|
18.907478
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
15
|
792.481250
|
-8.428343
|
-15.953077
|
CONSISTENT
|
15
|
792.481250
|
-8.428343
|
-15.953077
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
16
|
845.313334
|
15.060088
|
28.505573
|
CONSISTENT
|
16
|
845.313334
|
15.060088
|
28.505573
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
16
|
845.313334
|
-24.854857
|
-47.045006
|
CONSISTENT
|
16
|
845.313334
|
-24.854857
|
-47.045006
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
17
|
898.145417
|
13.786704
|
26.095325
|
CONSISTENT
|
17
|
898.145417
|
13.786704
|
26.095325
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
17
|
898.145417
|
-19.783983
|
-37.446911
|
CONSISTENT
|
17
|
898.145417
|
-19.783983
|
-37.446911
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
19
|
1003.809584
|
19.783983
|
37.446911
|
CONSISTENT
|
19
|
1003.809584
|
19.783983
|
37.446911
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
19
|
1003.809584
|
-13.786704
|
-26.095325
|
CONSISTENT
|
19
|
1003.809584
|
-13.786704
|
-26.095325
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
20
|
1056.641667
|
24.854857
|
47.045006
|
CONSISTENT
|
20
|
1056.641667
|
24.854857
|
47.045006
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
20
|
1056.641667
|
-15.060088
|
-28.505573
|
CONSISTENT
|
20
|
1056.641667
|
-15.060088
|
-28.505573
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
21
|
1109.473751
|
8.428343
|
15.953077
|
CONSISTENT
|
21
|
1109.473751
|
8.428343
|
15.953077
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
21
|
1109.473751
|
-9.989214
|
-18.907478
|
CONSISTENT
|
21
|
1109.473751
|
-9.989214
|
-18.907478
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
22
|
1162.305834
|
11.471971
|
21.714024
|
INCONSISTENT
|
21
|
1109.473751
|
-41.360112
|
-78.285976
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
23
|
1215.137917
|
7.998798
|
15.140038
|
INCONSISTENT
|
22
|
1162.305834
|
-44.833286
|
-84.859962
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
23
|
1215.137917
|
-16.628736
|
-31.474694
|
INCONSISTENT
|
24
|
1267.970001
|
36.203347
|
68.525306
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
24
|
1267.970001
|
2.632660
|
4.983070
|
CONSISTENT
|
24
|
1267.970001
|
2.632660
|
4.983070
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
24
|
1267.970001
|
-5.265320
|
-9.966140
|
CONSISTENT
|
24
|
1267.970001
|
-5.265320
|
-9.966140
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
24
|
1267.970001
|
-25.633014
|
-48.517893
|
CONSISTENT
|
24
|
1267.970001
|
-25.633014
|
-48.517893
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
25
|
1320.802084
|
1.359276
|
2.572822
|
CONSISTENT
|
25
|
1320.802084
|
1.359276
|
2.572822
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
25
|
1320.802084
|
-12.831247
|
-24.286846
|
INCONSISTENT
|
26
|
1373.634167
|
40.000837
|
75.713154
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
26
|
1373.634167
|
8.629939
|
16.334655
|
CONSISTENT
|
26
|
1373.634167
|
8.629939
|
16.334655
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
27
|
1426.466251
|
-26.214132
|
-49.617828
|
CONSISTENT
|
27
|
1426.466251
|
-26.214132
|
-49.617828
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
28
|
1479.298334
|
12.427428
|
23.522503
|
CONSISTENT
|
28
|
1479.298334
|
12.427428
|
23.522503
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
29
|
1532.130417
|
11.154044
|
21.112255
|
CONSISTENT
|
29
|
1532.130417
|
11.154044
|
21.112255
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
29
|
1532.130417
|
-22.416643
|
-42.429981
|
CONSISTENT
|
29
|
1532.130417
|
-22.416643
|
-42.429981
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
30
|
1584.962501
|
-15.145980
|
-28.668148
|
CONSISTENT
|
30
|
1584.962501
|
-15.145980
|
-28.668148
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
31
|
1637.794584
|
25.049303
|
47.413051
|
CONSISTENT
|
31
|
1637.794584
|
25.049303
|
47.413051
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
31
|
1637.794584
|
13.430239
|
25.420611
|
CONSISTENT
|
31
|
1637.794584
|
13.430239
|
25.420611
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
31
|
1637.794584
|
-16.419364
|
-31.078396
|
CONSISTENT
|
31
|
1637.794584
|
-16.419364
|
-31.078396
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
31
|
1637.794584
|
-24.989847
|
-47.300514
|
CONSISTENT
|
31
|
1637.794584
|
-24.989847
|
-47.300514
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
32
|
1690.626667
|
-9.794769
|
-18.539433
|
CONSISTENT
|
32
|
1690.626667
|
-9.794769
|
-18.539433
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
33
|
1743.458751
|
-11.068153
|
-20.949681
|
CONSISTENT
|
33
|
1743.458751
|
-11.068153
|
-20.949681
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
33
|
1743.458751
|
-25.258675
|
-47.809349
|
INCONSISTENT
|
34
|
1796.290834
|
27.573408
|
52.190651
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
34
|
1796.290834
|
18.048025
|
34.161108
|
CONSISTENT
|
34
|
1796.290834
|
18.048025
|
34.161108
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
34
|
1796.290834
|
-17.988012
|
-34.047516
|
INCONSISTENT
|
35
|
1849.122918
|
34.844071
|
65.952484
|
31
|
3/1
|
1901.955001
|
cP5
|
36
|
1901.955001
|
0
|
0
|
CONSISTENT
|
36
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales