User:Contribution/JI intervals approximated by 16edt
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16edt divides the tritave in 16 equal steps and the octave in 10.094876 equal steps of 118.872188 cents each. Its 31-limit patent val is <10 16 23 28 35 37 41 43 46 49 50|.
| 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
|
-11.937630
|
INCONSISTENT
|
-1
|
-118.872188
|
-133.062710
|
-111.937630
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
118.872188
|
31.196033
|
26.243340
|
CONSISTENT
|
1
|
118.872188
|
31.196033
|
26.243340
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
118.872188
|
-4.840004
|
-4.071603
|
CONSISTENT
|
1
|
118.872188
|
-4.840004
|
-4.071603
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
118.872188
|
-14.365387
|
-12.084734
|
INCONSISTENT
|
2
|
237.744375
|
104.506800
|
87.915266
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
118.872188
|
-28.555910
|
-24.022364
|
CONSISTENT
|
1
|
118.872188
|
-28.555910
|
-24.022364
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
2
|
237.744375
|
36.210810
|
30.461970
|
INCONSISTENT
|
1
|
118.872188
|
-82.661377
|
-69.538030
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
2
|
237.744375
|
-1.426195
|
-1.199772
|
CONSISTENT
|
2
|
237.744375
|
-1.426195
|
-1.199772
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
2
|
237.744375
|
-9.996678
|
-8.409602
|
CONSISTENT
|
2
|
237.744375
|
-9.996678
|
-8.409602
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
2
|
237.744375
|
-39.846280
|
-33.520272
|
CONSISTENT
|
2
|
237.744375
|
-39.846280
|
-33.520272
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
2
|
237.744375
|
-51.465344
|
-43.294689
|
CONSISTENT
|
2
|
237.744375
|
-51.465344
|
-43.294689
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
3
|
356.616563
|
54.770042
|
46.074732
|
INCONSISTENT
|
2
|
237.744375
|
-64.102145
|
-53.925268
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
3
|
356.616563
|
9.208622
|
7.746658
|
CONSISTENT
|
3
|
356.616563
|
9.208622
|
7.746658
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
3
|
356.616563
|
-24.362065
|
-20.494336
|
INCONSISTENT
|
4
|
475.488750
|
94.510122
|
79.505664
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
4
|
475.488750
|
40.404655
|
33.989999
|
CONSISTENT
|
4
|
475.488750
|
40.404655
|
33.989999
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
4
|
475.488750
|
26.214132
|
22.052368
|
INCONSISTENT
|
3
|
356.616563
|
-92.658055
|
-77.947632
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
5
|
594.360938
|
57.410165
|
48.295709
|
INCONSISTENT
|
4
|
475.488750
|
-61.462022
|
-51.704291
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
5
|
594.360938
|
26.039268
|
21.905265
|
INCONSISTENT
|
6
|
713.233125
|
144.911455
|
121.905265
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
5
|
594.360938
|
11.848745
|
9.967634
|
CONSISTENT
|
5
|
594.360938
|
11.848745
|
9.967634
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
5
|
594.360938
|
-2.341777
|
-1.969996
|
INCONSISTENT
|
4
|
475.488750
|
-121.213965
|
-101.969996
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
5
|
594.360938
|
-13.991049
|
-11.769825
|
CONSISTENT
|
5
|
594.360938
|
-13.991049
|
-11.769825
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
5
|
594.360938
|
-34.358743
|
-28.903938
|
INCONSISTENT
|
6
|
713.233125
|
84.513445
|
71.096062
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
5
|
594.360938
|
-42.256722
|
-35.548031
|
CONSISTENT
|
5
|
594.360938
|
-42.256722
|
-35.548031
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
6
|
713.233125
|
43.044778
|
36.210975
|
CONSISTENT
|
6
|
713.233125
|
43.044778
|
36.210975
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
6
|
713.233125
|
18.417244
|
15.493316
|
CONSISTENT
|
6
|
713.233125
|
18.417244
|
15.493316
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
6
|
713.233125
|
-37.888013
|
-31.872899
|
INCONSISTENT
|
5
|
594.360938
|
-156.760200
|
-131.872899
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
7
|
832.105313
|
49.613277
|
41.736657
|
CONSISTENT
|
7
|
832.105313
|
49.613277
|
41.736657
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
7
|
832.105313
|
31.195720
|
26.243077
|
CONSISTENT
|
7
|
832.105313
|
31.195720
|
26.243077
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
7
|
832.105313
|
1.852067
|
1.558032
|
CONSISTENT
|
7
|
832.105313
|
1.852067
|
1.558032
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
7
|
832.105313
|
-38.062878
|
-32.020003
|
INCONSISTENT
|
8
|
950.977500
|
80.809310
|
67.979997
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
7
|
832.105313
|
-52.253400
|
-43.957633
|
CONSISTENT
|
7
|
832.105313
|
-52.253400
|
-43.957633
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
8
|
950.977500
|
33.048100
|
27.801373
|
CONSISTENT
|
8
|
950.977500
|
33.048100
|
27.801373
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
8
|
950.977500
|
-33.048100
|
-27.801373
|
CONSISTENT
|
8
|
950.977500
|
-33.048100
|
-27.801373
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
9
|
1069.849688
|
52.253400
|
43.957633
|
CONSISTENT
|
9
|
1069.849688
|
52.253400
|
43.957633
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
9
|
1069.849688
|
38.062878
|
32.020003
|
INCONSISTENT
|
8
|
950.977500
|
-80.809310
|
-67.979997
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
9
|
1069.849688
|
-1.852067
|
-1.558032
|
CONSISTENT
|
9
|
1069.849688
|
-1.852067
|
-1.558032
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
9
|
1069.849688
|
-31.195720
|
-26.243077
|
CONSISTENT
|
9
|
1069.849688
|
-31.195720
|
-26.243077
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
9
|
1069.849688
|
-49.613277
|
-41.736657
|
CONSISTENT
|
9
|
1069.849688
|
-49.613277
|
-41.736657
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
10
|
1188.721876
|
37.888013
|
31.872899
|
INCONSISTENT
|
11
|
1307.594063
|
156.760200
|
131.872899
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
10
|
1188.721876
|
-18.417244
|
-15.493316
|
CONSISTENT
|
10
|
1188.721876
|
-18.417244
|
-15.493316
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
10
|
1188.721876
|
-43.044778
|
-36.210975
|
CONSISTENT
|
10
|
1188.721876
|
-43.044778
|
-36.210975
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
11
|
1307.594063
|
42.256722
|
35.548031
|
CONSISTENT
|
11
|
1307.594063
|
42.256722
|
35.548031
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
11
|
1307.594063
|
34.358743
|
28.903938
|
INCONSISTENT
|
10
|
1188.721876
|
-84.513445
|
-71.096062
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
11
|
1307.594063
|
13.991049
|
11.769825
|
CONSISTENT
|
11
|
1307.594063
|
13.991049
|
11.769825
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
11
|
1307.594063
|
-11.848745
|
-9.967634
|
CONSISTENT
|
11
|
1307.594063
|
-11.848745
|
-9.967634
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
11
|
1307.594063
|
-26.039268
|
-21.905265
|
INCONSISTENT
|
10
|
1188.721876
|
-144.911455
|
-121.905265
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
11
|
1307.594063
|
-57.410165
|
-48.295709
|
INCONSISTENT
|
12
|
1426.466251
|
61.462022
|
51.704291
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
12
|
1426.466251
|
-26.214132
|
-22.052368
|
INCONSISTENT
|
13
|
1545.338438
|
92.658055
|
77.947632
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
12
|
1426.466251
|
-40.404655
|
-33.989999
|
CONSISTENT
|
12
|
1426.466251
|
-40.404655
|
-33.989999
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
13
|
1545.338438
|
24.362065
|
20.494336
|
INCONSISTENT
|
12
|
1426.466251
|
-94.510122
|
-79.505664
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
13
|
1545.338438
|
-9.208622
|
-7.746658
|
CONSISTENT
|
13
|
1545.338438
|
-9.208622
|
-7.746658
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
13
|
1545.338438
|
-54.770042
|
-46.074732
|
INCONSISTENT
|
14
|
1664.210626
|
64.102145
|
53.925268
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
14
|
1664.210626
|
51.465344
|
43.294689
|
CONSISTENT
|
14
|
1664.210626
|
51.465344
|
43.294689
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
14
|
1664.210626
|
39.846280
|
33.520272
|
CONSISTENT
|
14
|
1664.210626
|
39.846280
|
33.520272
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
14
|
1664.210626
|
9.996678
|
8.409602
|
CONSISTENT
|
14
|
1664.210626
|
9.996678
|
8.409602
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
14
|
1664.210626
|
1.426195
|
1.199772
|
CONSISTENT
|
14
|
1664.210626
|
1.426195
|
1.199772
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
14
|
1664.210626
|
-36.210810
|
-30.461970
|
INCONSISTENT
|
15
|
1783.082813
|
82.661377
|
69.538030
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
15
|
1783.082813
|
28.555910
|
24.022364
|
CONSISTENT
|
15
|
1783.082813
|
28.555910
|
24.022364
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
15
|
1783.082813
|
14.365387
|
12.084734
|
INCONSISTENT
|
14
|
1664.210626
|
-104.506800
|
-87.915266
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
15
|
1783.082813
|
4.840004
|
4.071603
|
CONSISTENT
|
15
|
1783.082813
|
4.840004
|
4.071603
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
15
|
1783.082813
|
-31.196033
|
-26.243340
|
CONSISTENT
|
15
|
1783.082813
|
-31.196033
|
-26.243340
|
31
|
3/1
|
1901.955001
|
cP5
|
16
|
1901.955001
|
0
|
0
|
CONSISTENT
|
16
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales