User:Contribution/JI intervals approximated by 15edt
Jump to navigation
Jump to search
15edt divides the tritave in 15 equal steps and the octave in 9.463946 equal steps of 126.797000 cents each. Its 31-limit patent val is <9 15 22 27 33 35 39 40 43 46 47|.
| 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
|
-11.191529
|
INCONSISTENT
|
1
|
126.797000
|
112.606478
|
88.808471
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
126.797000
|
39.120845
|
30.853132
|
INCONSISTENT
|
0
|
0
|
-87.676155
|
-69.146868
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
126.797000
|
3.084809
|
2.432872
|
CONSISTENT
|
1
|
126.797000
|
3.084809
|
2.432872
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
126.797000
|
-6.440575
|
-5.079438
|
CONSISTENT
|
1
|
126.797000
|
-6.440575
|
-5.079438
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
126.797000
|
-20.631097
|
-16.270966
|
INCONSISTENT
|
2
|
253.594000
|
106.165903
|
83.729034
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
2
|
253.594000
|
52.060435
|
41.058097
|
CONSISTENT
|
2
|
253.594000
|
52.060435
|
41.058097
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
2
|
253.594000
|
14.423430
|
11.375214
|
CONSISTENT
|
2
|
253.594000
|
14.423430
|
11.375214
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
2
|
253.594000
|
5.852947
|
4.615998
|
CONSISTENT
|
2
|
253.594000
|
5.852947
|
4.615998
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
2
|
253.594000
|
-23.996655
|
-18.925255
|
CONSISTENT
|
2
|
253.594000
|
-23.996655
|
-18.925255
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
2
|
253.594000
|
-35.615719
|
-28.088771
|
CONSISTENT
|
2
|
253.594000
|
-35.615719
|
-28.088771
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
2
|
253.594000
|
-48.252520
|
-38.054938
|
CONSISTENT
|
2
|
253.594000
|
-48.252520
|
-38.054938
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
3
|
380.391000
|
32.983060
|
26.012492
|
CONSISTENT
|
3
|
380.391000
|
32.983060
|
26.012492
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
3
|
380.391000
|
-0.587628
|
-0.463440
|
CONSISTENT
|
3
|
380.391000
|
-0.587628
|
-0.463440
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
3
|
380.391000
|
-54.693095
|
-43.134376
|
CONSISTENT
|
3
|
380.391000
|
-54.693095
|
-43.134376
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
4
|
507.188000
|
57.913382
|
45.674095
|
CONSISTENT
|
4
|
507.188000
|
57.913382
|
45.674095
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
4
|
507.188000
|
-29.762772
|
-23.472773
|
CONSISTENT
|
4
|
507.188000
|
-29.762772
|
-23.472773
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
4
|
507.188000
|
-61.133670
|
-48.213814
|
CONSISTENT
|
4
|
507.188000
|
-61.133670
|
-48.213814
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
5
|
633.985000
|
51.472808
|
40.594657
|
CONSISTENT
|
5
|
633.985000
|
51.472808
|
40.594657
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
5
|
633.985000
|
37.282285
|
29.403129
|
INCONSISTENT
|
6
|
760.782000
|
164.079285
|
129.403129
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
5
|
633.985000
|
25.633014
|
20.215789
|
CONSISTENT
|
5
|
633.985000
|
25.633014
|
20.215789
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
5
|
633.985000
|
5.265320
|
4.152558
|
CONSISTENT
|
5
|
633.985000
|
5.265320
|
4.152558
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
5
|
633.985000
|
-2.632660
|
-2.076279
|
CONSISTENT
|
5
|
633.985000
|
-2.632660
|
-2.076279
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
5
|
633.985000
|
-36.203347
|
-28.552211
|
CONSISTENT
|
5
|
633.985000
|
-36.203347
|
-28.552211
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
5
|
633.985000
|
-60.830881
|
-47.975016
|
INCONSISTENT
|
6
|
760.782000
|
65.966119
|
52.024984
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
6
|
760.782000
|
9.660862
|
7.619157
|
CONSISTENT
|
6
|
760.782000
|
9.660862
|
7.619157
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
6
|
760.782000
|
-21.710036
|
-17.121884
|
CONSISTENT
|
6
|
760.782000
|
-21.710036
|
-17.121884
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
6
|
760.782000
|
-40.127593
|
-31.647115
|
CONSISTENT
|
6
|
760.782000
|
-40.127593
|
-31.647115
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
7
|
887.579000
|
57.325755
|
45.210655
|
CONSISTENT
|
7
|
887.579000
|
57.325755
|
45.210655
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
7
|
887.579000
|
17.410810
|
13.731247
|
INCONSISTENT
|
6
|
760.782000
|
-109.386190
|
-86.268753
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
7
|
887.579000
|
3.220287
|
2.539719
|
CONSISTENT
|
7
|
887.579000
|
3.220287
|
2.539719
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
7
|
887.579000
|
-30.350400
|
-23.936213
|
CONSISTENT
|
7
|
887.579000
|
-30.350400
|
-23.936213
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
8
|
1014.376000
|
30.350400
|
23.936213
|
CONSISTENT
|
8
|
1014.376000
|
30.350400
|
23.936213
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
8
|
1014.376000
|
-3.220287
|
-2.539719
|
CONSISTENT
|
8
|
1014.376000
|
-3.220287
|
-2.539719
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
8
|
1014.376000
|
-17.410810
|
-13.731247
|
INCONSISTENT
|
9
|
1141.173001
|
109.386190
|
86.268753
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
8
|
1014.376000
|
-57.325755
|
-45.210655
|
CONSISTENT
|
8
|
1014.376000
|
-57.325755
|
-45.210655
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
9
|
1141.173001
|
40.127593
|
31.647115
|
CONSISTENT
|
9
|
1141.173001
|
40.127593
|
31.647115
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
9
|
1141.173001
|
21.710036
|
17.121884
|
CONSISTENT
|
9
|
1141.173001
|
21.710036
|
17.121884
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
9
|
1141.173001
|
-9.660862
|
-7.619157
|
CONSISTENT
|
9
|
1141.173001
|
-9.660862
|
-7.619157
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
10
|
1267.970001
|
60.830881
|
47.975016
|
INCONSISTENT
|
9
|
1141.173001
|
-65.966119
|
-52.024984
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
10
|
1267.970001
|
36.203347
|
28.552211
|
CONSISTENT
|
10
|
1267.970001
|
36.203347
|
28.552211
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
10
|
1267.970001
|
2.632660
|
2.076279
|
CONSISTENT
|
10
|
1267.970001
|
2.632660
|
2.076279
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
10
|
1267.970001
|
-5.265320
|
-4.152558
|
CONSISTENT
|
10
|
1267.970001
|
-5.265320
|
-4.152558
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
10
|
1267.970001
|
-25.633014
|
-20.215789
|
CONSISTENT
|
10
|
1267.970001
|
-25.633014
|
-20.215789
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
10
|
1267.970001
|
-51.472808
|
-40.594657
|
CONSISTENT
|
10
|
1267.970001
|
-51.472808
|
-40.594657
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
11
|
1394.767001
|
61.133670
|
48.213814
|
CONSISTENT
|
11
|
1394.767001
|
61.133670
|
48.213814
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
11
|
1394.767001
|
29.762772
|
23.472773
|
CONSISTENT
|
11
|
1394.767001
|
29.762772
|
23.472773
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
11
|
1394.767001
|
-57.913382
|
-45.674095
|
CONSISTENT
|
11
|
1394.767001
|
-57.913382
|
-45.674095
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
12
|
1521.564001
|
54.693095
|
43.134376
|
CONSISTENT
|
12
|
1521.564001
|
54.693095
|
43.134376
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
12
|
1521.564001
|
0.587628
|
0.463440
|
CONSISTENT
|
12
|
1521.564001
|
0.587628
|
0.463440
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
12
|
1521.564001
|
-32.983060
|
-26.012492
|
CONSISTENT
|
12
|
1521.564001
|
-32.983060
|
-26.012492
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
13
|
1648.361001
|
48.252520
|
38.054938
|
CONSISTENT
|
13
|
1648.361001
|
48.252520
|
38.054938
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
13
|
1648.361001
|
35.615719
|
28.088771
|
CONSISTENT
|
13
|
1648.361001
|
35.615719
|
28.088771
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
13
|
1648.361001
|
23.996655
|
18.925255
|
CONSISTENT
|
13
|
1648.361001
|
23.996655
|
18.925255
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
13
|
1648.361001
|
-5.852947
|
-4.615998
|
CONSISTENT
|
13
|
1648.361001
|
-5.852947
|
-4.615998
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
13
|
1648.361001
|
-14.423430
|
-11.375214
|
CONSISTENT
|
13
|
1648.361001
|
-14.423430
|
-11.375214
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
13
|
1648.361001
|
-52.060435
|
-41.058097
|
CONSISTENT
|
13
|
1648.361001
|
-52.060435
|
-41.058097
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
14
|
1775.158001
|
20.631097
|
16.270966
|
INCONSISTENT
|
13
|
1648.361001
|
-106.165903
|
-83.729034
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
14
|
1775.158001
|
6.440575
|
5.079438
|
CONSISTENT
|
14
|
1775.158001
|
6.440575
|
5.079438
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
14
|
1775.158001
|
-3.084809
|
-2.432872
|
CONSISTENT
|
14
|
1775.158001
|
-3.084809
|
-2.432872
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
14
|
1775.158001
|
-39.120845
|
-30.853132
|
INCONSISTENT
|
15
|
1901.955001
|
87.676155
|
69.146868
|
31
|
3/1
|
1901.955001
|
cP5
|
15
|
1901.955001
|
0
|
0
|
CONSISTENT
|
15
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales