User:Contribution/JI intervals approximated by 5edt
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5edt divides the tritave in 5 equal steps and the octave in 3.154649 equal steps of 380.391000 cents each. Its 31-limit patent val is <3 5 7 9 11 12 13 13 14 15 16|.
| 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
|
-3.730510
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-3.730510
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
0
|
0
|
-87.676155
|
-23.048956
|
CONSISTENT
|
0
|
0
|
-87.676155
|
-23.048956
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
0
|
0
|
-123.712192
|
-32.522376
|
CONSISTENT
|
0
|
0
|
-123.712192
|
-32.522376
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
0
|
0
|
-133.237575
|
-35.026479
|
INCONSISTENT
|
1
|
380.391000
|
247.153425
|
64.973521
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
0
|
0
|
-147.428097
|
-38.756989
|
INCONSISTENT
|
1
|
380.391000
|
232.962903
|
61.243011
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
1
|
380.391000
|
178.857435
|
47.019366
|
CONSISTENT
|
1
|
380.391000
|
178.857435
|
47.019366
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
1
|
380.391000
|
141.220430
|
37.125071
|
CONSISTENT
|
1
|
380.391000
|
141.220430
|
37.125071
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
1
|
380.391000
|
132.649947
|
34.871999
|
INCONSISTENT
|
0
|
0
|
-247.741053
|
-65.128001
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
1
|
380.391000
|
102.800345
|
27.024915
|
CONSISTENT
|
1
|
380.391000
|
102.800345
|
27.024915
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
1
|
380.391000
|
91.181281
|
23.970410
|
CONSISTENT
|
1
|
380.391000
|
91.181281
|
23.970410
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
1
|
380.391000
|
78.544480
|
20.648354
|
INCONSISTENT
|
0
|
0
|
-301.846520
|
-79.351646
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
1
|
380.391000
|
32.983060
|
8.670831
|
CONSISTENT
|
1
|
380.391000
|
32.983060
|
8.670831
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
1
|
380.391000
|
-0.587628
|
-0.154480
|
CONSISTENT
|
1
|
380.391000
|
-0.587628
|
-0.154480
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
1
|
380.391000
|
-54.693095
|
-14.378125
|
CONSISTENT
|
1
|
380.391000
|
-54.693095
|
-14.378125
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
1
|
380.391000
|
-68.883618
|
-18.108635
|
CONSISTENT
|
1
|
380.391000
|
-68.883618
|
-18.108635
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
1
|
380.391000
|
-156.559772
|
-41.157591
|
CONSISTENT
|
1
|
380.391000
|
-156.559772
|
-41.157591
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
1
|
380.391000
|
-187.930670
|
-49.404605
|
INCONSISTENT
|
2
|
760.782000
|
192.460330
|
50.595395
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
2
|
760.782000
|
178.269808
|
46.864886
|
CONSISTENT
|
2
|
760.782000
|
178.269808
|
46.864886
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
2
|
760.782000
|
164.079285
|
43.134376
|
CONSISTENT
|
2
|
760.782000
|
164.079285
|
43.134376
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
2
|
760.782000
|
152.430014
|
40.071930
|
CONSISTENT
|
2
|
760.782000
|
152.430014
|
40.071930
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
2
|
760.782000
|
132.062320
|
34.717519
|
INCONSISTENT
|
1
|
380.391000
|
-248.328681
|
-65.282481
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
2
|
760.782000
|
124.164340
|
32.641240
|
CONSISTENT
|
2
|
760.782000
|
124.164340
|
32.641240
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
2
|
760.782000
|
90.593653
|
23.815930
|
CONSISTENT
|
2
|
760.782000
|
90.593653
|
23.815930
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
2
|
760.782000
|
65.966119
|
17.341661
|
CONSISTENT
|
2
|
760.782000
|
65.966119
|
17.341661
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
2
|
760.782000
|
9.660862
|
2.539719
|
INCONSISTENT
|
1
|
380.391000
|
-370.730138
|
-97.460281
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
2
|
760.782000
|
-21.710036
|
-5.707295
|
CONSISTENT
|
2
|
760.782000
|
-21.710036
|
-5.707295
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
2
|
760.782000
|
-40.127593
|
-10.549038
|
CONSISTENT
|
2
|
760.782000
|
-40.127593
|
-10.549038
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
2
|
760.782000
|
-69.471245
|
-18.263115
|
CONSISTENT
|
2
|
760.782000
|
-69.471245
|
-18.263115
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
2
|
760.782000
|
-109.386190
|
-28.756251
|
CONSISTENT
|
2
|
760.782000
|
-109.386190
|
-28.756251
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
2
|
760.782000
|
-123.576713
|
-32.486760
|
CONSISTENT
|
2
|
760.782000
|
-123.576713
|
-32.486760
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
2
|
760.782000
|
-157.147400
|
-41.312071
|
CONSISTENT
|
2
|
760.782000
|
-157.147400
|
-41.312071
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
3
|
1141.173001
|
157.147400
|
41.312071
|
CONSISTENT
|
3
|
1141.173001
|
157.147400
|
41.312071
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
3
|
1141.173001
|
123.576713
|
32.486760
|
CONSISTENT
|
3
|
1141.173001
|
123.576713
|
32.486760
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
3
|
1141.173001
|
109.386190
|
28.756251
|
CONSISTENT
|
3
|
1141.173001
|
109.386190
|
28.756251
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
3
|
1141.173001
|
69.471245
|
18.263115
|
CONSISTENT
|
3
|
1141.173001
|
69.471245
|
18.263115
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
3
|
1141.173001
|
40.127593
|
10.549038
|
CONSISTENT
|
3
|
1141.173001
|
40.127593
|
10.549038
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
3
|
1141.173001
|
21.710036
|
5.707295
|
CONSISTENT
|
3
|
1141.173001
|
21.710036
|
5.707295
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
3
|
1141.173001
|
-9.660862
|
-2.539719
|
INCONSISTENT
|
4
|
1521.564001
|
370.730138
|
97.460281
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
3
|
1141.173001
|
-65.966119
|
-17.341661
|
CONSISTENT
|
3
|
1141.173001
|
-65.966119
|
-17.341661
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
3
|
1141.173001
|
-90.593653
|
-23.815930
|
CONSISTENT
|
3
|
1141.173001
|
-90.593653
|
-23.815930
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
3
|
1141.173001
|
-124.164340
|
-32.641240
|
CONSISTENT
|
3
|
1141.173001
|
-124.164340
|
-32.641240
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
3
|
1141.173001
|
-132.062320
|
-34.717519
|
INCONSISTENT
|
4
|
1521.564001
|
248.328681
|
65.282481
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
3
|
1141.173001
|
-152.430014
|
-40.071930
|
CONSISTENT
|
3
|
1141.173001
|
-152.430014
|
-40.071930
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
3
|
1141.173001
|
-178.269808
|
-46.864886
|
CONSISTENT
|
3
|
1141.173001
|
-178.269808
|
-46.864886
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
4
|
1521.564001
|
187.930670
|
49.404605
|
INCONSISTENT
|
3
|
1141.173001
|
-192.460330
|
-50.595395
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
4
|
1521.564001
|
156.559772
|
41.157591
|
CONSISTENT
|
4
|
1521.564001
|
156.559772
|
41.157591
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
4
|
1521.564001
|
68.883618
|
18.108635
|
CONSISTENT
|
4
|
1521.564001
|
68.883618
|
18.108635
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
4
|
1521.564001
|
54.693095
|
14.378125
|
CONSISTENT
|
4
|
1521.564001
|
54.693095
|
14.378125
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
4
|
1521.564001
|
0.587628
|
0.154480
|
CONSISTENT
|
4
|
1521.564001
|
0.587628
|
0.154480
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
4
|
1521.564001
|
-32.983060
|
-8.670831
|
CONSISTENT
|
4
|
1521.564001
|
-32.983060
|
-8.670831
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
4
|
1521.564001
|
-78.544480
|
-20.648354
|
INCONSISTENT
|
5
|
1901.955001
|
301.846520
|
79.351646
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
4
|
1521.564001
|
-91.181281
|
-23.970410
|
CONSISTENT
|
4
|
1521.564001
|
-91.181281
|
-23.970410
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
4
|
1521.564001
|
-102.800345
|
-27.024915
|
CONSISTENT
|
4
|
1521.564001
|
-102.800345
|
-27.024915
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
4
|
1521.564001
|
-132.649947
|
-34.871999
|
INCONSISTENT
|
5
|
1901.955001
|
247.741053
|
65.128001
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
4
|
1521.564001
|
-141.220430
|
-37.125071
|
CONSISTENT
|
4
|
1521.564001
|
-141.220430
|
-37.125071
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
4
|
1521.564001
|
-178.857435
|
-47.019366
|
CONSISTENT
|
4
|
1521.564001
|
-178.857435
|
-47.019366
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
5
|
1901.955001
|
147.428097
|
38.756989
|
INCONSISTENT
|
4
|
1521.564001
|
-232.962903
|
-61.243011
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
5
|
1901.955001
|
133.237575
|
35.026479
|
INCONSISTENT
|
4
|
1521.564001
|
-247.153425
|
-64.973521
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
5
|
1901.955001
|
123.712192
|
32.522376
|
CONSISTENT
|
5
|
1901.955001
|
123.712192
|
32.522376
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
5
|
1901.955001
|
87.676155
|
23.048956
|
CONSISTENT
|
5
|
1901.955001
|
87.676155
|
23.048956
|
31
|
3/1
|
1901.955001
|
cP5
|
5
|
1901.955001
|
0
|
0
|
CONSISTENT
|
5
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales