User:Contribution/JI intervals approximated by 19edt
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19edt divides the tritave in 19 equal steps and the octave in 11.987665 equal steps of 100.102895 cents each. Its 31-limit patent val is <12 19 28 34 41 44 49 51 54 58 59|.
| 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
|
-14.175936
|
INCONSISTENT
|
1
|
100.102895
|
85.912372
|
85.824064
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
100.102895
|
12.426740
|
12.413967
|
CONSISTENT
|
1
|
100.102895
|
12.426740
|
12.413967
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
100.102895
|
-23.609297
|
-23.585029
|
CONSISTENT
|
1
|
100.102895
|
-23.609297
|
-23.585029
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
100.102895
|
-33.134680
|
-33.100621
|
CONSISTENT
|
1
|
100.102895
|
-33.134680
|
-33.100621
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
100.102895
|
-47.325203
|
-47.276557
|
INCONSISTENT
|
2
|
200.205790
|
52.777692
|
52.723443
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
2
|
200.205790
|
-1.327775
|
-1.326410
|
CONSISTENT
|
2
|
200.205790
|
-1.327775
|
-1.326410
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
2
|
200.205790
|
-38.964780
|
-38.924729
|
CONSISTENT
|
2
|
200.205790
|
-38.964780
|
-38.924729
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
2
|
200.205790
|
-47.535263
|
-47.486402
|
INCONSISTENT
|
3
|
300.308684
|
52.567631
|
52.513598
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
3
|
300.308684
|
22.718029
|
22.694677
|
CONSISTENT
|
3
|
300.308684
|
22.718029
|
22.694677
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
3
|
300.308684
|
11.098965
|
11.087556
|
CONSISTENT
|
3
|
300.308684
|
11.098965
|
11.087556
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
3
|
300.308684
|
-1.537836
|
-1.536255
|
CONSISTENT
|
3
|
300.308684
|
-1.537836
|
-1.536255
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
3
|
300.308684
|
-47.099256
|
-47.050843
|
CONSISTENT
|
3
|
300.308684
|
-47.099256
|
-47.050843
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
4
|
400.411579
|
19.432951
|
19.412976
|
CONSISTENT
|
4
|
400.411579
|
19.432951
|
19.412976
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
4
|
400.411579
|
-34.672516
|
-34.636877
|
CONSISTENT
|
4
|
400.411579
|
-34.672516
|
-34.636877
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
4
|
400.411579
|
-48.863039
|
-48.812813
|
INCONSISTENT
|
5
|
500.514474
|
51.239856
|
51.187187
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
5
|
500.514474
|
-36.436298
|
-36.398846
|
INCONSISTENT
|
6
|
600.617369
|
63.666596
|
63.601154
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
6
|
600.617369
|
32.295699
|
32.262502
|
INCONSISTENT
|
5
|
500.514474
|
-67.807196
|
-67.737498
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
6
|
600.617369
|
18.105176
|
18.086566
|
CONSISTENT
|
6
|
600.617369
|
18.105176
|
18.086566
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
6
|
600.617369
|
3.914654
|
3.910630
|
INCONSISTENT
|
7
|
700.720263
|
104.017548
|
103.910630
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
6
|
600.617369
|
-7.734618
|
-7.726667
|
CONSISTENT
|
6
|
600.617369
|
-7.734618
|
-7.726667
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
6
|
600.617369
|
-28.102312
|
-28.073426
|
INCONSISTENT
|
7
|
700.720263
|
72.000583
|
71.926574
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
6
|
600.617369
|
-36.000291
|
-35.963287
|
CONSISTENT
|
6
|
600.617369
|
-36.000291
|
-35.963287
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
7
|
700.720263
|
30.531916
|
30.500533
|
CONSISTENT
|
7
|
700.720263
|
30.531916
|
30.500533
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
7
|
700.720263
|
5.904382
|
5.898313
|
INCONSISTENT
|
6
|
600.617369
|
-94.198513
|
-94.101687
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
8
|
800.823158
|
49.702020
|
49.650932
|
CONSISTENT
|
8
|
800.823158
|
49.702020
|
49.650932
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
8
|
800.823158
|
18.331122
|
18.312280
|
INCONSISTENT
|
7
|
700.720263
|
-81.771772
|
-81.687720
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
8
|
800.823158
|
-0.086435
|
-0.086346
|
CONSISTENT
|
8
|
800.823158
|
-0.086435
|
-0.086346
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
8
|
800.823158
|
-29.430087
|
-29.399836
|
INCONSISTENT
|
9
|
900.926053
|
70.672807
|
70.600164
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
9
|
900.926053
|
30.757863
|
30.726247
|
INCONSISTENT
|
8
|
800.823158
|
-69.345032
|
-69.273753
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
9
|
900.926053
|
16.567340
|
16.550311
|
CONSISTENT
|
9
|
900.926053
|
16.567340
|
16.550311
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
9
|
900.926053
|
-17.003347
|
-16.985870
|
INCONSISTENT
|
10
|
1001.028948
|
83.099548
|
83.014130
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
10
|
1001.028948
|
17.003347
|
16.985870
|
INCONSISTENT
|
9
|
900.926053
|
-83.099548
|
-83.014130
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
10
|
1001.028948
|
-16.567340
|
-16.550311
|
CONSISTENT
|
10
|
1001.028948
|
-16.567340
|
-16.550311
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
10
|
1001.028948
|
-30.757863
|
-30.726247
|
INCONSISTENT
|
11
|
1101.131843
|
69.345032
|
69.273753
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
11
|
1101.131843
|
29.430087
|
29.399836
|
INCONSISTENT
|
10
|
1001.028948
|
-70.672807
|
-70.600164
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
11
|
1101.131843
|
0.086435
|
0.086346
|
CONSISTENT
|
11
|
1101.131843
|
0.086435
|
0.086346
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
11
|
1101.131843
|
-18.331122
|
-18.312280
|
INCONSISTENT
|
12
|
1201.234737
|
81.771772
|
81.687720
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
11
|
1101.131843
|
-49.702020
|
-49.650932
|
CONSISTENT
|
11
|
1101.131843
|
-49.702020
|
-49.650932
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
12
|
1201.234737
|
-5.904382
|
-5.898313
|
INCONSISTENT
|
13
|
1301.337632
|
94.198513
|
94.101687
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
12
|
1201.234737
|
-30.531916
|
-30.500533
|
CONSISTENT
|
12
|
1201.234737
|
-30.531916
|
-30.500533
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
13
|
1301.337632
|
36.000291
|
35.963287
|
CONSISTENT
|
13
|
1301.337632
|
36.000291
|
35.963287
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
13
|
1301.337632
|
28.102312
|
28.073426
|
INCONSISTENT
|
12
|
1201.234737
|
-72.000583
|
-71.926574
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
13
|
1301.337632
|
7.734618
|
7.726667
|
CONSISTENT
|
13
|
1301.337632
|
7.734618
|
7.726667
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
13
|
1301.337632
|
-18.105176
|
-18.086566
|
CONSISTENT
|
13
|
1301.337632
|
-18.105176
|
-18.086566
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
13
|
1301.337632
|
-32.295699
|
-32.262502
|
INCONSISTENT
|
14
|
1401.440527
|
67.807196
|
67.737498
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
14
|
1401.440527
|
36.436298
|
36.398846
|
INCONSISTENT
|
13
|
1301.337632
|
-63.666596
|
-63.601154
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
15
|
1501.543422
|
48.863039
|
48.812813
|
INCONSISTENT
|
14
|
1401.440527
|
-51.239856
|
-51.187187
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
15
|
1501.543422
|
34.672516
|
34.636877
|
CONSISTENT
|
15
|
1501.543422
|
34.672516
|
34.636877
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
15
|
1501.543422
|
-19.432951
|
-19.412976
|
CONSISTENT
|
15
|
1501.543422
|
-19.432951
|
-19.412976
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
16
|
1601.646317
|
47.099256
|
47.050843
|
CONSISTENT
|
16
|
1601.646317
|
47.099256
|
47.050843
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
16
|
1601.646317
|
1.537836
|
1.536255
|
CONSISTENT
|
16
|
1601.646317
|
1.537836
|
1.536255
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
16
|
1601.646317
|
-11.098965
|
-11.087556
|
CONSISTENT
|
16
|
1601.646317
|
-11.098965
|
-11.087556
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
16
|
1601.646317
|
-22.718029
|
-22.694677
|
CONSISTENT
|
16
|
1601.646317
|
-22.718029
|
-22.694677
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
17
|
1701.749211
|
47.535263
|
47.486402
|
INCONSISTENT
|
16
|
1601.646317
|
-52.567631
|
-52.513598
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
17
|
1701.749211
|
38.964780
|
38.924729
|
CONSISTENT
|
17
|
1701.749211
|
38.964780
|
38.924729
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
17
|
1701.749211
|
1.327775
|
1.326410
|
CONSISTENT
|
17
|
1701.749211
|
1.327775
|
1.326410
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
18
|
1801.852106
|
47.325203
|
47.276557
|
INCONSISTENT
|
17
|
1701.749211
|
-52.777692
|
-52.723443
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
18
|
1801.852106
|
33.134680
|
33.100621
|
CONSISTENT
|
18
|
1801.852106
|
33.134680
|
33.100621
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
18
|
1801.852106
|
23.609297
|
23.585029
|
CONSISTENT
|
18
|
1801.852106
|
23.609297
|
23.585029
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
18
|
1801.852106
|
-12.426740
|
-12.413967
|
CONSISTENT
|
18
|
1801.852106
|
-12.426740
|
-12.413967
|
31
|
3/1
|
1901.955001
|
cP5
|
19
|
1901.955001
|
0
|
0
|
CONSISTENT
|
19
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales