User:Contribution/JI intervals approximated by 78edt
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78edt divides the tritave in 78 equal steps and the octave in 49.212521 equal steps of 24.384038 cents each. Its 31-limit patent val is <49 78 114 138 170 182 201 209 223 239 244|.
| 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
|
1
|
24.384038
|
10.193516
|
41.804051
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-58.195949
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
97.536154
|
9.859999
|
40.436285
|
CONSISTENT
|
4
|
97.536154
|
9.859999
|
40.436285
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
121.920192
|
-1.791999
|
-7.349066
|
CONSISTENT
|
5
|
121.920192
|
-1.791999
|
-7.349066
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
121.920192
|
-11.317383
|
-46.413077
|
INCONSISTENT
|
6
|
146.304231
|
13.066656
|
53.586923
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
146.304231
|
-1.123867
|
-4.609025
|
CONSISTENT
|
6
|
146.304231
|
-1.123867
|
-4.609025
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
195.072308
|
-6.461257
|
-26.497895
|
CONSISTENT
|
8
|
195.072308
|
-6.461257
|
-26.497895
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
243.840385
|
4.669815
|
19.151113
|
CONSISTENT
|
10
|
243.840385
|
4.669815
|
19.151113
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
243.840385
|
-3.900668
|
-15.996810
|
CONSISTENT
|
10
|
243.840385
|
-3.900668
|
-15.996810
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
268.224423
|
-9.366232
|
-38.411324
|
CONSISTENT
|
11
|
268.224423
|
-9.366232
|
-38.411324
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
12
|
292.608462
|
3.398742
|
13.938390
|
CONSISTENT
|
12
|
292.608462
|
3.398742
|
13.938390
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
12
|
292.608462
|
-9.238059
|
-37.885680
|
CONSISTENT
|
12
|
292.608462
|
-9.238059
|
-37.885680
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
14
|
341.376539
|
-6.031402
|
-24.735041
|
CONSISTENT
|
14
|
341.376539
|
-6.031402
|
-24.735041
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
16
|
390.144616
|
9.165988
|
37.590113
|
CONSISTENT
|
16
|
390.144616
|
9.165988
|
37.590113
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
18
|
438.912693
|
3.828597
|
15.701243
|
CONSISTENT
|
18
|
438.912693
|
3.828597
|
15.701243
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
18
|
438.912693
|
-10.361925
|
-42.494705
|
CONSISTENT
|
18
|
438.912693
|
-10.361925
|
-42.494705
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
22
|
536.448846
|
-0.501926
|
-2.058420
|
CONSISTENT
|
22
|
536.448846
|
-0.501926
|
-2.058420
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
23
|
560.832885
|
-7.488785
|
-30.711833
|
INCONSISTENT
|
24
|
585.216923
|
16.895253
|
69.288167
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
24
|
585.216923
|
2.704731
|
11.092218
|
CONSISTENT
|
24
|
585.216923
|
2.704731
|
11.092218
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
24
|
585.216923
|
-11.485792
|
-47.103730
|
CONSISTENT
|
24
|
585.216923
|
-11.485792
|
-47.103730
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
25
|
609.600962
|
1.248975
|
5.122102
|
CONSISTENT
|
25
|
609.600962
|
1.248975
|
5.122102
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
26
|
633.985000
|
5.265320
|
21.593304
|
CONSISTENT
|
26
|
633.985000
|
5.265320
|
21.593304
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
26
|
633.985000
|
-2.632660
|
-10.796652
|
CONSISTENT
|
26
|
633.985000
|
-2.632660
|
-10.796652
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
27
|
658.369039
|
-11.819308
|
-48.471497
|
INCONSISTENT
|
28
|
682.753077
|
12.564730
|
51.528503
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
28
|
682.753077
|
-12.062804
|
-49.470083
|
CONSISTENT
|
28
|
682.753077
|
-12.062804
|
-49.470083
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
31
|
755.905193
|
4.784055
|
19.619615
|
INCONSISTENT
|
30
|
731.521154
|
-19.599984
|
-80.380385
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
32
|
780.289231
|
-2.202805
|
-9.033798
|
CONSISTENT
|
32
|
780.289231
|
-2.202805
|
-9.033798
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
33
|
804.673270
|
3.763677
|
15.435001
|
CONSISTENT
|
33
|
804.673270
|
3.763677
|
15.435001
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
34
|
829.057308
|
-1.195937
|
-4.904592
|
CONSISTENT
|
34
|
829.057308
|
-1.195937
|
-4.904592
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
36
|
877.825385
|
7.657194
|
31.402487
|
CONSISTENT
|
36
|
877.825385
|
7.657194
|
31.402487
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
36
|
877.825385
|
-6.533328
|
-26.793462
|
CONSISTENT
|
36
|
877.825385
|
-6.533328
|
-26.793462
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
38
|
926.593462
|
8.664062
|
35.531693
|
CONSISTENT
|
38
|
926.593462
|
8.664062
|
35.531693
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
40
|
975.361539
|
-8.664062
|
-35.531693
|
CONSISTENT
|
40
|
975.361539
|
-8.664062
|
-35.531693
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
42
|
1024.129616
|
6.533328
|
26.793462
|
CONSISTENT
|
42
|
1024.129616
|
6.533328
|
26.793462
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
42
|
1024.129616
|
-7.657194
|
-31.402487
|
CONSISTENT
|
42
|
1024.129616
|
-7.657194
|
-31.402487
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
44
|
1072.897693
|
1.195937
|
4.904592
|
CONSISTENT
|
44
|
1072.897693
|
1.195937
|
4.904592
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
45
|
1097.281731
|
-3.763677
|
-15.435001
|
CONSISTENT
|
45
|
1097.281731
|
-3.763677
|
-15.435001
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
46
|
1121.665770
|
2.202805
|
9.033798
|
CONSISTENT
|
46
|
1121.665770
|
2.202805
|
9.033798
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
47
|
1146.049808
|
-4.784055
|
-19.619615
|
INCONSISTENT
|
48
|
1170.433847
|
19.599984
|
80.380385
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
50
|
1219.201924
|
12.062804
|
49.470083
|
CONSISTENT
|
50
|
1219.201924
|
12.062804
|
49.470083
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
51
|
1243.585962
|
11.819308
|
48.471497
|
INCONSISTENT
|
50
|
1219.201924
|
-12.564730
|
-51.528503
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
52
|
1267.970001
|
2.632660
|
10.796652
|
CONSISTENT
|
52
|
1267.970001
|
2.632660
|
10.796652
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
52
|
1267.970001
|
-5.265320
|
-21.593304
|
CONSISTENT
|
52
|
1267.970001
|
-5.265320
|
-21.593304
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
53
|
1292.354039
|
-1.248975
|
-5.122102
|
CONSISTENT
|
53
|
1292.354039
|
-1.248975
|
-5.122102
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
54
|
1316.738078
|
-2.704731
|
-11.092218
|
CONSISTENT
|
54
|
1316.738078
|
-2.704731
|
-11.092218
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
55
|
1341.122116
|
7.488785
|
30.711833
|
INCONSISTENT
|
54
|
1316.738078
|
-16.895253
|
-69.288167
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
56
|
1365.506154
|
0.501926
|
2.058420
|
CONSISTENT
|
56
|
1365.506154
|
0.501926
|
2.058420
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
60
|
1463.042308
|
10.361925
|
42.494705
|
CONSISTENT
|
60
|
1463.042308
|
10.361925
|
42.494705
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
60
|
1463.042308
|
-3.828597
|
-15.701243
|
CONSISTENT
|
60
|
1463.042308
|
-3.828597
|
-15.701243
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
62
|
1511.810385
|
-9.165988
|
-37.590113
|
CONSISTENT
|
62
|
1511.810385
|
-9.165988
|
-37.590113
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
64
|
1560.578462
|
6.031402
|
24.735041
|
CONSISTENT
|
64
|
1560.578462
|
6.031402
|
24.735041
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
66
|
1609.346539
|
9.238059
|
37.885680
|
CONSISTENT
|
66
|
1609.346539
|
9.238059
|
37.885680
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
66
|
1609.346539
|
-3.398742
|
-13.938390
|
CONSISTENT
|
66
|
1609.346539
|
-3.398742
|
-13.938390
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
67
|
1633.730578
|
9.366232
|
38.411324
|
CONSISTENT
|
67
|
1633.730578
|
9.366232
|
38.411324
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
68
|
1658.114616
|
3.900668
|
15.996810
|
CONSISTENT
|
68
|
1658.114616
|
3.900668
|
15.996810
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
68
|
1658.114616
|
-4.669815
|
-19.151113
|
CONSISTENT
|
68
|
1658.114616
|
-4.669815
|
-19.151113
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
70
|
1706.882693
|
6.461257
|
26.497895
|
CONSISTENT
|
70
|
1706.882693
|
6.461257
|
26.497895
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
72
|
1755.650770
|
1.123867
|
4.609025
|
CONSISTENT
|
72
|
1755.650770
|
1.123867
|
4.609025
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
73
|
1780.034809
|
11.317383
|
46.413077
|
INCONSISTENT
|
72
|
1755.650770
|
-13.066656
|
-53.586923
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
73
|
1780.034809
|
1.791999
|
7.349066
|
CONSISTENT
|
73
|
1780.034809
|
1.791999
|
7.349066
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
74
|
1804.418847
|
-9.859999
|
-40.436285
|
CONSISTENT
|
74
|
1804.418847
|
-9.859999
|
-40.436285
|
31
|
3/1
|
1901.955001
|
cP5
|
78
|
1901.955001
|
0
|
0
|
CONSISTENT
|
78
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales