User:Contribution/JI intervals approximated by 64edt
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64edt divides the tritave in 64 equal steps and the octave in 40.379504 equal steps of 29.718047 cents each. Its 31-limit patent val is <40 64 94 113 140 149 165 172 183 196 200|.
| 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
|
-47.750522
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-47.750522
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
89.154141
|
1.477986
|
4.973362
|
CONSISTENT
|
3
|
89.154141
|
1.477986
|
4.973362
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
118.872188
|
-4.840004
|
-16.286414
|
CONSISTENT
|
4
|
118.872188
|
-4.840004
|
-16.286414
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
118.872188
|
-14.365387
|
-48.338935
|
CONSISTENT
|
4
|
118.872188
|
-14.365387
|
-48.338935
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
148.590234
|
1.162137
|
3.910543
|
INCONSISTENT
|
4
|
118.872188
|
-28.555910
|
-96.089457
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
208.026328
|
6.492763
|
21.847881
|
INCONSISTENT
|
6
|
178.308281
|
-23.225283
|
-78.152119
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
8
|
237.744375
|
-1.426195
|
-4.799086
|
CONSISTENT
|
8
|
237.744375
|
-1.426195
|
-4.799086
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
8
|
237.744375
|
-9.996678
|
-33.638408
|
INCONSISTENT
|
9
|
267.462422
|
19.721369
|
66.361592
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
9
|
267.462422
|
-10.128233
|
-34.081087
|
CONSISTENT
|
9
|
267.462422
|
-10.128233
|
-34.081087
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
10
|
297.180469
|
7.970749
|
26.821243
|
INCONSISTENT
|
9
|
267.462422
|
-21.747297
|
-73.178757
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
10
|
297.180469
|
-4.666052
|
-15.701071
|
INCONSISTENT
|
11
|
326.898516
|
25.051995
|
84.298929
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
12
|
356.616563
|
9.208622
|
30.986633
|
CONSISTENT
|
12
|
356.616563
|
9.208622
|
30.986633
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
13
|
386.334610
|
5.355982
|
18.022657
|
CONSISTENT
|
13
|
386.334610
|
5.355982
|
18.022657
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
15
|
445.770703
|
10.686608
|
35.959995
|
CONSISTENT
|
15
|
445.770703
|
10.686608
|
35.959995
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
15
|
445.770703
|
-3.503914
|
-11.790527
|
CONSISTENT
|
15
|
445.770703
|
-3.503914
|
-11.790527
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
18
|
534.924844
|
-2.025928
|
-6.817165
|
CONSISTENT
|
18
|
534.924844
|
-2.025928
|
-6.817165
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
19
|
564.642891
|
-3.678779
|
-12.378940
|
CONSISTENT
|
19
|
564.642891
|
-3.678779
|
-12.378940
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
20
|
594.360938
|
11.848745
|
39.870538
|
INCONSISTENT
|
19
|
564.642891
|
-17.869302
|
-60.129462
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
20
|
594.360938
|
-2.341777
|
-7.879984
|
INCONSISTENT
|
19
|
564.642891
|
-32.059824
|
-107.879984
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
20
|
594.360938
|
-13.991049
|
-47.079301
|
CONSISTENT
|
20
|
594.360938
|
-13.991049
|
-47.079301
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
21
|
624.078985
|
-4.640696
|
-15.615751
|
INCONSISTENT
|
22
|
653.797032
|
25.077351
|
84.384249
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
21
|
624.078985
|
-12.538675
|
-42.192125
|
CONSISTENT
|
21
|
624.078985
|
-12.538675
|
-42.192125
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
23
|
683.515078
|
13.326731
|
44.843900
|
INCONSISTENT
|
22
|
653.797032
|
-16.391316
|
-55.156100
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
23
|
683.515078
|
-11.300803
|
-38.026735
|
INCONSISTENT
|
24
|
713.233125
|
18.417244
|
61.973265
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
25
|
742.951172
|
-8.169966
|
-27.491598
|
INCONSISTENT
|
26
|
772.669219
|
21.548081
|
72.508402
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
26
|
772.669219
|
-9.822817
|
-33.053373
|
INCONSISTENT
|
27
|
802.387266
|
19.895230
|
66.946627
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
27
|
802.387266
|
1.477673
|
4.972308
|
CONSISTENT
|
27
|
802.387266
|
1.477673
|
4.972308
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
28
|
832.105313
|
1.852067
|
6.232130
|
CONSISTENT
|
28
|
832.105313
|
1.852067
|
6.232130
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
29
|
861.823360
|
-8.344831
|
-28.080011
|
INCONSISTENT
|
30
|
891.541407
|
21.373216
|
71.919989
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
30
|
891.541407
|
7.182694
|
24.169467
|
CONSISTENT
|
30
|
891.541407
|
7.182694
|
24.169467
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
31
|
921.259454
|
3.330053
|
11.205492
|
CONSISTENT
|
31
|
921.259454
|
3.330053
|
11.205492
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
33
|
980.695547
|
-3.330053
|
-11.205492
|
CONSISTENT
|
33
|
980.695547
|
-3.330053
|
-11.205492
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
34
|
1010.413594
|
-7.182694
|
-24.169467
|
CONSISTENT
|
34
|
1010.413594
|
-7.182694
|
-24.169467
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
35
|
1040.131641
|
8.344831
|
28.080011
|
INCONSISTENT
|
34
|
1010.413594
|
-21.373216
|
-71.919989
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
36
|
1069.849688
|
-1.852067
|
-6.232130
|
CONSISTENT
|
36
|
1069.849688
|
-1.852067
|
-6.232130
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
37
|
1099.567735
|
-1.477673
|
-4.972308
|
CONSISTENT
|
37
|
1099.567735
|
-1.477673
|
-4.972308
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
38
|
1129.285782
|
9.822817
|
33.053373
|
INCONSISTENT
|
37
|
1099.567735
|
-19.895230
|
-66.946627
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
39
|
1159.003829
|
8.169966
|
27.491598
|
INCONSISTENT
|
38
|
1129.285782
|
-21.548081
|
-72.508402
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
41
|
1218.439922
|
11.300803
|
38.026735
|
INCONSISTENT
|
40
|
1188.721876
|
-18.417244
|
-61.973265
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
41
|
1218.439922
|
-13.326731
|
-44.843900
|
INCONSISTENT
|
42
|
1248.157969
|
16.391316
|
55.156100
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
43
|
1277.876016
|
12.538675
|
42.192125
|
CONSISTENT
|
43
|
1277.876016
|
12.538675
|
42.192125
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
43
|
1277.876016
|
4.640696
|
15.615751
|
INCONSISTENT
|
42
|
1248.157969
|
-25.077351
|
-84.384249
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
44
|
1307.594063
|
13.991049
|
47.079301
|
CONSISTENT
|
44
|
1307.594063
|
13.991049
|
47.079301
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
44
|
1307.594063
|
-11.848745
|
-39.870538
|
INCONSISTENT
|
45
|
1337.312110
|
17.869302
|
60.129462
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
45
|
1337.312110
|
3.678779
|
12.378940
|
CONSISTENT
|
45
|
1337.312110
|
3.678779
|
12.378940
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
46
|
1367.030157
|
2.025928
|
6.817165
|
CONSISTENT
|
46
|
1367.030157
|
2.025928
|
6.817165
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
49
|
1456.184298
|
3.503914
|
11.790527
|
CONSISTENT
|
49
|
1456.184298
|
3.503914
|
11.790527
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
49
|
1456.184298
|
-10.686608
|
-35.959995
|
CONSISTENT
|
49
|
1456.184298
|
-10.686608
|
-35.959995
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
51
|
1515.620391
|
-5.355982
|
-18.022657
|
CONSISTENT
|
51
|
1515.620391
|
-5.355982
|
-18.022657
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
52
|
1545.338438
|
-9.208622
|
-30.986633
|
CONSISTENT
|
52
|
1545.338438
|
-9.208622
|
-30.986633
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
54
|
1604.774532
|
4.666052
|
15.701071
|
INCONSISTENT
|
53
|
1575.056485
|
-25.051995
|
-84.298929
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
54
|
1604.774532
|
-7.970749
|
-26.821243
|
INCONSISTENT
|
55
|
1634.492579
|
21.747297
|
73.178757
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
55
|
1634.492579
|
10.128233
|
34.081087
|
CONSISTENT
|
55
|
1634.492579
|
10.128233
|
34.081087
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
56
|
1664.210626
|
9.996678
|
33.638408
|
INCONSISTENT
|
55
|
1634.492579
|
-19.721369
|
-66.361592
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
56
|
1664.210626
|
1.426195
|
4.799086
|
CONSISTENT
|
56
|
1664.210626
|
1.426195
|
4.799086
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
57
|
1693.928673
|
-6.492763
|
-21.847881
|
INCONSISTENT
|
58
|
1723.646720
|
23.225283
|
78.152119
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
59
|
1753.364766
|
-1.162137
|
-3.910543
|
INCONSISTENT
|
60
|
1783.082813
|
28.555910
|
96.089457
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
60
|
1783.082813
|
14.365387
|
48.338935
|
CONSISTENT
|
60
|
1783.082813
|
14.365387
|
48.338935
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
60
|
1783.082813
|
4.840004
|
16.286414
|
CONSISTENT
|
60
|
1783.082813
|
4.840004
|
16.286414
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
61
|
1812.800860
|
-1.477986
|
-4.973362
|
CONSISTENT
|
61
|
1812.800860
|
-1.477986
|
-4.973362
|
31
|
3/1
|
1901.955001
|
cP5
|
64
|
1901.955001
|
0
|
0
|
CONSISTENT
|
64
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales