User:Contribution/JI intervals approximated by 63edt
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63edt divides the tritave in 63 equal steps and the octave in 39.748574 equal steps of 30.189762 cents each. Its 31-limit patent val is <40 63 92 112 138 147 162 169 180 193 197|.
| 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
|
-47.004420
|
INCONSISTENT
|
1
|
30.189762
|
15.999239
|
52.995580
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
90.569286
|
2.893131
|
9.583153
|
INCONSISTENT
|
2
|
60.379524
|
-27.296631
|
-90.416847
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
120.759048
|
-2.953144
|
-9.781938
|
CONSISTENT
|
4
|
120.759048
|
-2.953144
|
-9.781938
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
120.759048
|
-12.478527
|
-41.333639
|
INCONSISTENT
|
5
|
150.948810
|
17.711235
|
58.666361
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
150.948810
|
3.520712
|
11.661941
|
INCONSISTENT
|
6
|
181.138572
|
33.710474
|
111.661941
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
211.328333
|
9.794769
|
32.444008
|
CONSISTENT
|
7
|
211.328333
|
9.794769
|
32.444008
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
8
|
241.518095
|
2.347525
|
7.775899
|
CONSISTENT
|
8
|
241.518095
|
2.347525
|
7.775899
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
8
|
241.518095
|
-6.222958
|
-20.612808
|
CONSISTENT
|
8
|
241.518095
|
-6.222958
|
-20.612808
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
9
|
271.707857
|
-5.882798
|
-19.486070
|
CONSISTENT
|
9
|
271.707857
|
-5.882798
|
-19.486070
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
10
|
301.897619
|
12.687900
|
42.027161
|
INCONSISTENT
|
9
|
271.707857
|
-17.501862
|
-57.972839
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
10
|
301.897619
|
0.051099
|
0.169259
|
INCONSISTENT
|
9
|
271.707857
|
-30.138663
|
-99.830741
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
12
|
362.277143
|
14.869202
|
49.252467
|
CONSISTENT
|
12
|
362.277143
|
14.869202
|
49.252467
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
13
|
392.466905
|
11.488277
|
38.053553
|
CONSISTENT
|
13
|
392.466905
|
11.488277
|
38.053553
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
14
|
422.656667
|
-12.427428
|
-41.164380
|
CONSISTENT
|
14
|
422.656667
|
-12.427428
|
-41.164380
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
15
|
452.846429
|
3.571811
|
11.831200
|
CONSISTENT
|
15
|
452.846429
|
3.571811
|
11.831200
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
18
|
543.415715
|
6.464942
|
21.414353
|
INCONSISTENT
|
17
|
513.225953
|
-23.724820
|
-78.585647
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
19
|
573.605476
|
5.283806
|
17.501981
|
CONSISTENT
|
19
|
573.605476
|
5.283806
|
17.501981
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
19
|
573.605476
|
-8.906716
|
-29.502439
|
INCONSISTENT
|
20
|
603.795238
|
21.283046
|
70.497561
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
20
|
603.795238
|
7.092523
|
23.493141
|
INCONSISTENT
|
21
|
633.985000
|
37.282285
|
123.493141
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
20
|
603.795238
|
-4.556748
|
-15.093687
|
CONSISTENT
|
20
|
603.795238
|
-4.556748
|
-15.093687
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
21
|
633.985000
|
5.265320
|
17.440745
|
CONSISTENT
|
21
|
633.985000
|
5.265320
|
17.440745
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
21
|
633.985000
|
-2.632660
|
-8.720373
|
CONSISTENT
|
21
|
633.985000
|
-2.632660
|
-8.720373
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
22
|
664.174762
|
-6.013585
|
-19.919286
|
CONSISTENT
|
22
|
664.174762
|
-6.013585
|
-19.919286
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
23
|
694.364524
|
-0.451357
|
-1.495067
|
INCONSISTENT
|
24
|
724.554286
|
29.738405
|
98.504933
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
25
|
754.744048
|
3.622910
|
12.000458
|
INCONSISTENT
|
24
|
724.554286
|
-26.566852
|
-87.999542
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
26
|
784.933810
|
2.441774
|
8.088086
|
CONSISTENT
|
26
|
784.933810
|
2.441774
|
8.088086
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
27
|
815.123572
|
14.213979
|
47.082116
|
CONSISTENT
|
27
|
815.123572
|
14.213979
|
47.082116
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
28
|
845.313334
|
15.060088
|
49.884753
|
CONSISTENT
|
28
|
845.313334
|
15.060088
|
49.884753
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
29
|
875.503096
|
5.334905
|
17.671239
|
INCONSISTENT
|
28
|
845.313334
|
-24.854857
|
-82.328761
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
29
|
875.503096
|
-8.855617
|
-29.333181
|
CONSISTENT
|
29
|
875.503096
|
-8.855617
|
-29.333181
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
30
|
905.692858
|
-12.236543
|
-40.532094
|
CONSISTENT
|
30
|
905.692858
|
-12.236543
|
-40.532094
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
33
|
996.262143
|
12.236543
|
40.532094
|
CONSISTENT
|
33
|
996.262143
|
12.236543
|
40.532094
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
34
|
1026.451905
|
8.855617
|
29.333181
|
CONSISTENT
|
34
|
1026.451905
|
8.855617
|
29.333181
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
34
|
1026.451905
|
-5.334905
|
-17.671239
|
INCONSISTENT
|
35
|
1056.641667
|
24.854857
|
82.328761
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
35
|
1056.641667
|
-15.060088
|
-49.884753
|
CONSISTENT
|
35
|
1056.641667
|
-15.060088
|
-49.884753
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
36
|
1086.831429
|
-14.213979
|
-47.082116
|
CONSISTENT
|
36
|
1086.831429
|
-14.213979
|
-47.082116
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
37
|
1117.021191
|
-2.441774
|
-8.088086
|
CONSISTENT
|
37
|
1117.021191
|
-2.441774
|
-8.088086
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
38
|
1147.210953
|
-3.622910
|
-12.000458
|
INCONSISTENT
|
39
|
1177.400715
|
26.566852
|
87.999542
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
40
|
1207.590477
|
0.451357
|
1.495067
|
INCONSISTENT
|
39
|
1177.400715
|
-29.738405
|
-98.504933
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
41
|
1237.780239
|
6.013585
|
19.919286
|
CONSISTENT
|
41
|
1237.780239
|
6.013585
|
19.919286
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
42
|
1267.970001
|
2.632660
|
8.720373
|
CONSISTENT
|
42
|
1267.970001
|
2.632660
|
8.720373
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
42
|
1267.970001
|
-5.265320
|
-17.440745
|
CONSISTENT
|
42
|
1267.970001
|
-5.265320
|
-17.440745
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
43
|
1298.159762
|
4.556748
|
15.093687
|
CONSISTENT
|
43
|
1298.159762
|
4.556748
|
15.093687
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
44
|
1328.349524
|
8.906716
|
29.502439
|
INCONSISTENT
|
43
|
1298.159762
|
-21.283046
|
-70.497561
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
44
|
1328.349524
|
-5.283806
|
-17.501981
|
CONSISTENT
|
44
|
1328.349524
|
-5.283806
|
-17.501981
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
45
|
1358.539286
|
-6.464942
|
-21.414353
|
INCONSISTENT
|
46
|
1388.729048
|
23.724820
|
78.585647
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
48
|
1449.108572
|
-3.571811
|
-11.831200
|
CONSISTENT
|
48
|
1449.108572
|
-3.571811
|
-11.831200
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
49
|
1479.298334
|
12.427428
|
41.164380
|
CONSISTENT
|
49
|
1479.298334
|
12.427428
|
41.164380
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
50
|
1509.488096
|
-11.488277
|
-38.053553
|
CONSISTENT
|
50
|
1509.488096
|
-11.488277
|
-38.053553
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
51
|
1539.677858
|
-14.869202
|
-49.252467
|
CONSISTENT
|
51
|
1539.677858
|
-14.869202
|
-49.252467
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
53
|
1600.057382
|
-0.051099
|
-0.169259
|
INCONSISTENT
|
54
|
1630.247144
|
30.138663
|
99.830741
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
53
|
1600.057382
|
-12.687900
|
-42.027161
|
INCONSISTENT
|
54
|
1630.247144
|
17.501862
|
57.972839
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
54
|
1630.247144
|
5.882798
|
19.486070
|
CONSISTENT
|
54
|
1630.247144
|
5.882798
|
19.486070
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
55
|
1660.436906
|
6.222958
|
20.612808
|
CONSISTENT
|
55
|
1660.436906
|
6.222958
|
20.612808
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
55
|
1660.436906
|
-2.347525
|
-7.775899
|
CONSISTENT
|
55
|
1660.436906
|
-2.347525
|
-7.775899
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
56
|
1690.626667
|
-9.794769
|
-32.444008
|
CONSISTENT
|
56
|
1690.626667
|
-9.794769
|
-32.444008
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
58
|
1751.006191
|
-3.520712
|
-11.661941
|
INCONSISTENT
|
57
|
1720.816429
|
-33.710474
|
-111.661941
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
59
|
1781.195953
|
12.478527
|
41.333639
|
INCONSISTENT
|
58
|
1751.006191
|
-17.711235
|
-58.666361
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
59
|
1781.195953
|
2.953144
|
9.781938
|
CONSISTENT
|
59
|
1781.195953
|
2.953144
|
9.781938
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
60
|
1811.385715
|
-2.893131
|
-9.583153
|
INCONSISTENT
|
61
|
1841.575477
|
27.296631
|
90.416847
|
31
|
3/1
|
1901.955001
|
cP5
|
63
|
1901.955001
|
0
|
0
|
CONSISTENT
|
63
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales