User:Contribution/JI intervals approximated by 51edt
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51edt divides the tritave in 51 equal steps and the octave in 32.177417 equal steps of 37.293235 cents each. Its 31-limit patent val is <32 51 75 90 111 119 132 137 146 156 159|.
| 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
|
-38.051197
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-38.051197
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
74.586471
|
-13.089684
|
-35.099352
|
INCONSISTENT
|
3
|
111.879706
|
24.203551
|
64.900648
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
111.879706
|
-11.832486
|
-31.728236
|
CONSISTENT
|
3
|
111.879706
|
-11.832486
|
-31.728236
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
149.172941
|
15.935366
|
42.729911
|
INCONSISTENT
|
3
|
111.879706
|
-21.357869
|
-57.270089
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
149.172941
|
1.744844
|
4.678714
|
INCONSISTENT
|
3
|
111.879706
|
-35.548391
|
-95.321286
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
5
|
186.466177
|
-15.067388
|
-40.402470
|
CONSISTENT
|
5
|
186.466177
|
-15.067388
|
-40.402470
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
6
|
223.759412
|
-15.411158
|
-41.324272
|
CONSISTENT
|
6
|
223.759412
|
-15.411158
|
-41.324272
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
261.052647
|
13.311594
|
35.694394
|
CONSISTENT
|
7
|
261.052647
|
13.311594
|
35.694394
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
7
|
261.052647
|
-16.538008
|
-44.345866
|
CONSISTENT
|
7
|
261.052647
|
-16.538008
|
-44.345866
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
8
|
298.345882
|
9.136163
|
24.498178
|
CONSISTENT
|
8
|
298.345882
|
9.136163
|
24.498178
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
8
|
298.345882
|
-3.500638
|
-9.386791
|
INCONSISTENT
|
9
|
335.639118
|
33.792597
|
90.613209
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
9
|
335.639118
|
-11.768823
|
-31.557527
|
CONSISTENT
|
9
|
335.639118
|
-11.768823
|
-31.557527
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
10
|
372.932353
|
-8.046275
|
-21.575695
|
CONSISTENT
|
10
|
372.932353
|
-8.046275
|
-21.575695
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
12
|
447.518824
|
12.434728
|
33.343121
|
CONSISTENT
|
12
|
447.518824
|
12.434728
|
33.343121
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
12
|
447.518824
|
-1.755794
|
-4.708076
|
CONSISTENT
|
12
|
447.518824
|
-1.755794
|
-4.708076
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
14
|
522.105294
|
-14.845478
|
-39.807429
|
INCONSISTENT
|
15
|
559.398530
|
22.447757
|
60.192571
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
15
|
559.398530
|
-8.923140
|
-23.926968
|
CONSISTENT
|
15
|
559.398530
|
-8.923140
|
-23.926968
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
16
|
596.691765
|
14.179572
|
38.021835
|
INCONSISTENT
|
15
|
559.398530
|
-23.113663
|
-61.978165
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
16
|
596.691765
|
-0.010950
|
-0.029362
|
INCONSISTENT
|
15
|
559.398530
|
-37.304185
|
-100.029362
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
16
|
596.691765
|
-11.660221
|
-31.266318
|
CONSISTENT
|
16
|
596.691765
|
-11.660221
|
-31.266318
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
17
|
633.985000
|
5.265320
|
14.118699
|
CONSISTENT
|
17
|
633.985000
|
5.265320
|
14.118699
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
17
|
633.985000
|
-2.632660
|
-7.059349
|
CONSISTENT
|
17
|
633.985000
|
-2.632660
|
-7.059349
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
18
|
671.278236
|
1.089888
|
2.922483
|
CONSISTENT
|
18
|
671.278236
|
1.089888
|
2.922483
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
19
|
708.571471
|
13.755590
|
36.884946
|
INCONSISTENT
|
18
|
671.278236
|
-23.537646
|
-63.115054
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
20
|
745.864706
|
-5.256432
|
-14.094867
|
INCONSISTENT
|
21
|
783.157942
|
32.036803
|
85.905133
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
21
|
783.157942
|
0.665906
|
1.785594
|
CONSISTENT
|
21
|
783.157942
|
0.665906
|
1.785594
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
21
|
783.157942
|
-17.751652
|
-47.600192
|
CONSISTENT
|
21
|
783.157942
|
-17.751652
|
-47.600192
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
22
|
820.451177
|
-9.802069
|
-26.283771
|
CONSISTENT
|
22
|
820.451177
|
-9.802069
|
-26.283771
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
23
|
857.744412
|
-12.423778
|
-33.313759
|
INCONSISTENT
|
24
|
895.037647
|
24.869457
|
66.686241
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
24
|
895.037647
|
10.678934
|
28.635044
|
CONSISTENT
|
24
|
895.037647
|
10.678934
|
28.635044
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
25
|
932.330883
|
14.401483
|
38.616876
|
CONSISTENT
|
25
|
932.330883
|
14.401483
|
38.616876
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
26
|
969.624118
|
-14.401483
|
-38.616876
|
CONSISTENT
|
26
|
969.624118
|
-14.401483
|
-38.616876
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
27
|
1006.917353
|
-10.678934
|
-28.635044
|
CONSISTENT
|
27
|
1006.917353
|
-10.678934
|
-28.635044
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
28
|
1044.210589
|
12.423778
|
33.313759
|
INCONSISTENT
|
27
|
1006.917353
|
-24.869457
|
-66.686241
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
29
|
1081.503824
|
9.802069
|
26.283771
|
CONSISTENT
|
29
|
1081.503824
|
9.802069
|
26.283771
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
30
|
1118.797059
|
17.751652
|
47.600192
|
CONSISTENT
|
30
|
1118.797059
|
17.751652
|
47.600192
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
30
|
1118.797059
|
-0.665906
|
-1.785594
|
CONSISTENT
|
30
|
1118.797059
|
-0.665906
|
-1.785594
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
31
|
1156.090295
|
5.256432
|
14.094867
|
INCONSISTENT
|
30
|
1118.797059
|
-32.036803
|
-85.905133
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
32
|
1193.383530
|
-13.755590
|
-36.884946
|
INCONSISTENT
|
33
|
1230.676765
|
23.537646
|
63.115054
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
33
|
1230.676765
|
-1.089888
|
-2.922483
|
CONSISTENT
|
33
|
1230.676765
|
-1.089888
|
-2.922483
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
34
|
1267.970001
|
2.632660
|
7.059349
|
CONSISTENT
|
34
|
1267.970001
|
2.632660
|
7.059349
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
34
|
1267.970001
|
-5.265320
|
-14.118699
|
CONSISTENT
|
34
|
1267.970001
|
-5.265320
|
-14.118699
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
35
|
1305.263236
|
11.660221
|
31.266318
|
CONSISTENT
|
35
|
1305.263236
|
11.660221
|
31.266318
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
35
|
1305.263236
|
-14.179572
|
-38.021835
|
INCONSISTENT
|
36
|
1342.556471
|
23.113663
|
61.978165
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
36
|
1342.556471
|
8.923140
|
23.926968
|
CONSISTENT
|
36
|
1342.556471
|
8.923140
|
23.926968
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
37
|
1379.849707
|
14.845478
|
39.807429
|
INCONSISTENT
|
36
|
1342.556471
|
-22.447757
|
-60.192571
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
39
|
1454.436177
|
1.755794
|
4.708076
|
CONSISTENT
|
39
|
1454.436177
|
1.755794
|
4.708076
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
39
|
1454.436177
|
-12.434728
|
-33.343121
|
CONSISTENT
|
39
|
1454.436177
|
-12.434728
|
-33.343121
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
41
|
1529.022648
|
8.046275
|
21.575695
|
CONSISTENT
|
41
|
1529.022648
|
8.046275
|
21.575695
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
42
|
1566.315883
|
11.768823
|
31.557527
|
CONSISTENT
|
42
|
1566.315883
|
11.768823
|
31.557527
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
43
|
1603.609118
|
3.500638
|
9.386791
|
INCONSISTENT
|
42
|
1566.315883
|
-33.792597
|
-90.613209
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
43
|
1603.609118
|
-9.136163
|
-24.498178
|
CONSISTENT
|
43
|
1603.609118
|
-9.136163
|
-24.498178
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
44
|
1640.902354
|
16.538008
|
44.345866
|
CONSISTENT
|
44
|
1640.902354
|
16.538008
|
44.345866
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
44
|
1640.902354
|
-13.311594
|
-35.694394
|
CONSISTENT
|
44
|
1640.902354
|
-13.311594
|
-35.694394
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
45
|
1678.195589
|
15.411158
|
41.324272
|
CONSISTENT
|
45
|
1678.195589
|
15.411158
|
41.324272
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
46
|
1715.488824
|
15.067388
|
40.402470
|
CONSISTENT
|
46
|
1715.488824
|
15.067388
|
40.402470
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
47
|
1752.782060
|
-1.744844
|
-4.678714
|
INCONSISTENT
|
48
|
1790.075295
|
35.548391
|
95.321286
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
47
|
1752.782060
|
-15.935366
|
-42.729911
|
INCONSISTENT
|
48
|
1790.075295
|
21.357869
|
57.270089
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
48
|
1790.075295
|
11.832486
|
31.728236
|
CONSISTENT
|
48
|
1790.075295
|
11.832486
|
31.728236
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
49
|
1827.368530
|
13.089684
|
35.099352
|
INCONSISTENT
|
48
|
1790.075295
|
-24.203551
|
-64.900648
|
31
|
3/1
|
1901.955001
|
cP5
|
51
|
1901.955001
|
0
|
0
|
CONSISTENT
|
51
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales