User:Contribution/JI intervals approximated by 61edt
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61edt divides the tritave in 61 equal steps and the octave in 38.486715 equal steps of 31.179590 cents each. Its 31-limit patent val is <38 61 89 108 133 142 157 163 174 187 191|.
| 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
|
-45.512216
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-45.512216
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
93.538771
|
5.862616
|
18.802736
|
CONSISTENT
|
3
|
93.538771
|
5.862616
|
18.802736
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
124.718361
|
1.006169
|
3.227012
|
CONSISTENT
|
4
|
124.718361
|
1.006169
|
3.227012
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
124.718361
|
-8.519214
|
-27.323047
|
INCONSISTENT
|
5
|
155.897951
|
22.660376
|
72.676953
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
155.897951
|
8.469854
|
27.164737
|
CONSISTENT
|
5
|
155.897951
|
8.469854
|
27.164737
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
187.077541
|
-14.456024
|
-46.363739
|
CONSISTENT
|
6
|
187.077541
|
-14.456024
|
-46.363739
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
8
|
249.436721
|
10.266152
|
32.925871
|
CONSISTENT
|
8
|
249.436721
|
10.266152
|
32.925871
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
8
|
249.436721
|
1.695668
|
5.438392
|
CONSISTENT
|
8
|
249.436721
|
1.695668
|
5.438392
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
9
|
280.616312
|
3.025656
|
9.703964
|
CONSISTENT
|
9
|
280.616312
|
3.025656
|
9.703964
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
9
|
280.616312
|
-8.593408
|
-27.561003
|
CONSISTENT
|
9
|
280.616312
|
-8.593408
|
-27.561003
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
10
|
311.795902
|
9.949381
|
31.909917
|
INCONSISTENT
|
9
|
280.616312
|
-21.230209
|
-68.090083
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
11
|
342.975492
|
-4.432449
|
-14.215866
|
CONSISTENT
|
11
|
342.975492
|
-4.432449
|
-14.215866
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
12
|
374.155082
|
-6.823546
|
-21.884655
|
INCONSISTENT
|
13
|
405.334672
|
24.356044
|
78.115345
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
14
|
436.514262
|
1.430167
|
4.586870
|
CONSISTENT
|
14
|
436.514262
|
1.430167
|
4.586870
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
14
|
436.514262
|
-12.760355
|
-40.925346
|
CONSISTENT
|
14
|
436.514262
|
-12.760355
|
-40.925346
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
17
|
530.053033
|
-6.897739
|
-22.122611
|
CONSISTENT
|
17
|
530.053033
|
-6.897739
|
-22.122611
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
18
|
561.232623
|
-7.089047
|
-22.736177
|
INCONSISTENT
|
19
|
592.412213
|
24.090543
|
77.263823
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
19
|
592.412213
|
9.900021
|
31.751606
|
CONSISTENT
|
19
|
592.412213
|
9.900021
|
31.751606
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
19
|
592.412213
|
-4.290502
|
-13.760610
|
CONSISTENT
|
19
|
592.412213
|
-4.290502
|
-13.760610
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
20
|
623.591804
|
15.239817
|
48.877541
|
CONSISTENT
|
20
|
623.591804
|
15.239817
|
48.877541
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
20
|
623.591804
|
-5.127877
|
-16.446262
|
INCONSISTENT
|
21
|
654.771394
|
26.051713
|
83.553738
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
20
|
623.591804
|
-13.025856
|
-41.776869
|
CONSISTENT
|
20
|
623.591804
|
-13.025856
|
-41.776869
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
21
|
654.771394
|
-15.416953
|
-49.445658
|
INCONSISTENT
|
22
|
685.950984
|
15.762637
|
50.554342
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
22
|
685.950984
|
-8.864897
|
-28.431731
|
CONSISTENT
|
22
|
685.950984
|
-8.864897
|
-28.431731
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
24
|
748.310164
|
-2.810974
|
-9.015429
|
INCONSISTENT
|
23
|
717.130574
|
-33.990564
|
-109.015429
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
25
|
779.489754
|
-3.002281
|
-9.628996
|
CONSISTENT
|
25
|
779.489754
|
-3.002281
|
-9.628996
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
26
|
810.669345
|
9.759752
|
31.301731
|
CONSISTENT
|
26
|
810.669345
|
9.759752
|
31.301731
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
27
|
841.848935
|
11.595689
|
37.189999
|
CONSISTENT
|
27
|
841.848935
|
11.595689
|
37.189999
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
28
|
873.028525
|
2.860334
|
9.173740
|
CONSISTENT
|
28
|
873.028525
|
2.860334
|
9.173740
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
28
|
873.028525
|
-11.330188
|
-36.338476
|
CONSISTENT
|
28
|
873.028525
|
-11.330188
|
-36.338476
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
29
|
904.208115
|
-13.721285
|
-44.007265
|
INCONSISTENT
|
30
|
935.387705
|
17.458305
|
55.992735
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
32
|
997.746886
|
13.721285
|
44.007265
|
INCONSISTENT
|
31
|
966.567296
|
-17.458305
|
-55.992735
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
33
|
1028.926476
|
11.330188
|
36.338476
|
CONSISTENT
|
33
|
1028.926476
|
11.330188
|
36.338476
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
33
|
1028.926476
|
-2.860334
|
-9.173740
|
CONSISTENT
|
33
|
1028.926476
|
-2.860334
|
-9.173740
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
34
|
1060.106066
|
-11.595689
|
-37.189999
|
CONSISTENT
|
34
|
1060.106066
|
-11.595689
|
-37.189999
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
35
|
1091.285656
|
-9.759752
|
-31.301731
|
CONSISTENT
|
35
|
1091.285656
|
-9.759752
|
-31.301731
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
36
|
1122.465246
|
3.002281
|
9.628996
|
CONSISTENT
|
36
|
1122.465246
|
3.002281
|
9.628996
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
37
|
1153.644837
|
2.810974
|
9.015429
|
INCONSISTENT
|
38
|
1184.824427
|
33.990564
|
109.015429
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
39
|
1216.004017
|
8.864897
|
28.431731
|
CONSISTENT
|
39
|
1216.004017
|
8.864897
|
28.431731
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
40
|
1247.183607
|
15.416953
|
49.445658
|
INCONSISTENT
|
39
|
1216.004017
|
-15.762637
|
-50.554342
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
41
|
1278.363197
|
13.025856
|
41.776869
|
CONSISTENT
|
41
|
1278.363197
|
13.025856
|
41.776869
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
41
|
1278.363197
|
5.127877
|
16.446262
|
INCONSISTENT
|
40
|
1247.183607
|
-26.051713
|
-83.553738
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
41
|
1278.363197
|
-15.239817
|
-48.877541
|
CONSISTENT
|
41
|
1278.363197
|
-15.239817
|
-48.877541
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
42
|
1309.542787
|
-9.900021
|
-31.751606
|
CONSISTENT
|
42
|
1309.542787
|
-9.900021
|
-31.751606
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
43
|
1340.722378
|
7.089047
|
22.736177
|
INCONSISTENT
|
42
|
1309.542787
|
-24.090543
|
-77.263823
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
44
|
1371.901968
|
6.897739
|
22.122611
|
CONSISTENT
|
44
|
1371.901968
|
6.897739
|
22.122611
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
47
|
1465.440738
|
12.760355
|
40.925346
|
CONSISTENT
|
47
|
1465.440738
|
12.760355
|
40.925346
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
47
|
1465.440738
|
-1.430167
|
-4.586870
|
CONSISTENT
|
47
|
1465.440738
|
-1.430167
|
-4.586870
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
49
|
1527.799919
|
6.823546
|
21.884655
|
INCONSISTENT
|
48
|
1496.620329
|
-24.356044
|
-78.115345
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
50
|
1558.979509
|
4.432449
|
14.215866
|
CONSISTENT
|
50
|
1558.979509
|
4.432449
|
14.215866
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
51
|
1590.159099
|
-9.949381
|
-31.909917
|
INCONSISTENT
|
52
|
1621.338689
|
21.230209
|
68.090083
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
52
|
1621.338689
|
8.593408
|
27.561003
|
CONSISTENT
|
52
|
1621.338689
|
8.593408
|
27.561003
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
52
|
1621.338689
|
-3.025656
|
-9.703964
|
CONSISTENT
|
52
|
1621.338689
|
-3.025656
|
-9.703964
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
53
|
1652.518279
|
-1.695668
|
-5.438392
|
CONSISTENT
|
53
|
1652.518279
|
-1.695668
|
-5.438392
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
53
|
1652.518279
|
-10.266152
|
-32.925871
|
CONSISTENT
|
53
|
1652.518279
|
-10.266152
|
-32.925871
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
55
|
1714.877460
|
14.456024
|
46.363739
|
CONSISTENT
|
55
|
1714.877460
|
14.456024
|
46.363739
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
56
|
1746.057050
|
-8.469854
|
-27.164737
|
CONSISTENT
|
56
|
1746.057050
|
-8.469854
|
-27.164737
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
57
|
1777.236640
|
8.519214
|
27.323047
|
INCONSISTENT
|
56
|
1746.057050
|
-22.660376
|
-72.676953
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
57
|
1777.236640
|
-1.006169
|
-3.227012
|
CONSISTENT
|
57
|
1777.236640
|
-1.006169
|
-3.227012
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
58
|
1808.416230
|
-5.862616
|
-18.802736
|
CONSISTENT
|
58
|
1808.416230
|
-5.862616
|
-18.802736
|
31
|
3/1
|
1901.955001
|
cP5
|
61
|
1901.955001
|
0
|
0
|
CONSISTENT
|
61
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales