User:Contribution/JI intervals approximated by 46edt
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46edt divides the tritave in 46 equal steps and the octave in 29.022769 equal steps of 41.346848 cents each. Its 31-limit patent val is <29 46 67 81 100 107 119 123 131 141 144|.
| 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
|
-34.320688
|
INCONSISTENT
|
-1
|
-41.346848
|
-55.537370
|
-134.320688
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
82.693696
|
-4.982459
|
-12.050396
|
INCONSISTENT
|
3
|
124.040544
|
36.364389
|
87.949604
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
124.040544
|
0.328352
|
0.794140
|
CONSISTENT
|
3
|
124.040544
|
0.328352
|
0.794140
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
3
|
124.040544
|
-9.197031
|
-22.243609
|
INCONSISTENT
|
4
|
165.387391
|
32.149817
|
77.756391
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
165.387391
|
17.959294
|
43.435703
|
INCONSISTENT
|
3
|
124.040544
|
-23.387554
|
-56.564297
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
5
|
206.734239
|
5.200674
|
12.578164
|
INCONSISTENT
|
4
|
165.387391
|
-36.146173
|
-87.421836
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
6
|
248.081087
|
8.910517
|
21.550657
|
CONSISTENT
|
6
|
248.081087
|
8.910517
|
21.550657
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
6
|
248.081087
|
0.340034
|
0.822394
|
CONSISTENT
|
6
|
248.081087
|
0.340034
|
0.822394
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
7
|
289.427935
|
11.837280
|
28.629219
|
CONSISTENT
|
7
|
289.427935
|
11.837280
|
28.629219
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
7
|
289.427935
|
0.218216
|
0.527768
|
CONSISTENT
|
7
|
289.427935
|
0.218216
|
0.527768
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
7
|
289.427935
|
-12.418585
|
-30.035144
|
CONSISTENT
|
7
|
289.427935
|
-12.418585
|
-30.035144
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
8
|
330.774783
|
-16.633158
|
-40.228358
|
CONSISTENT
|
8
|
330.774783
|
-16.633158
|
-40.228358
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
9
|
372.121631
|
-8.856997
|
-21.421215
|
INCONSISTENT
|
10
|
413.468478
|
32.489851
|
78.578785
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
11
|
454.815326
|
19.731231
|
47.721246
|
CONSISTENT
|
11
|
454.815326
|
19.731231
|
47.721246
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
11
|
454.815326
|
5.540709
|
13.400559
|
INCONSISTENT
|
10
|
413.468478
|
-35.806139
|
-86.599441
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
13
|
537.509022
|
0.558250
|
1.350162
|
CONSISTENT
|
13
|
537.509022
|
0.558250
|
1.350162
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
14
|
578.855870
|
10.534200
|
25.477637
|
INCONSISTENT
|
15
|
620.202718
|
51.881048
|
125.477637
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
14
|
578.855870
|
-3.656323
|
-8.843051
|
CONSISTENT
|
14
|
578.855870
|
-3.656323
|
-8.843051
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
14
|
578.855870
|
-17.846845
|
-43.163738
|
INCONSISTENT
|
13
|
537.509022
|
-59.193693
|
-143.163738
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
15
|
620.202718
|
11.850731
|
28.661753
|
CONSISTENT
|
15
|
620.202718
|
11.850731
|
28.661753
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
15
|
620.202718
|
-8.516963
|
-20.598821
|
INCONSISTENT
|
16
|
661.549566
|
32.829885
|
79.401179
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
15
|
620.202718
|
-16.414942
|
-39.700590
|
CONSISTENT
|
15
|
620.202718
|
-16.414942
|
-39.700590
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
16
|
661.549566
|
-8.638782
|
-20.893447
|
INCONSISTENT
|
17
|
702.896413
|
32.708066
|
79.106553
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
17
|
702.896413
|
8.080532
|
19.543284
|
INCONSISTENT
|
16
|
661.549566
|
-33.266316
|
-80.456716
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
18
|
744.243261
|
-6.877877
|
-16.634586
|
INCONSISTENT
|
17
|
702.896413
|
-48.224725
|
-116.634586
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
19
|
785.590109
|
3.098073
|
7.492888
|
CONSISTENT
|
19
|
785.590109
|
3.098073
|
7.492888
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
19
|
785.590109
|
-15.319484
|
-37.051153
|
CONSISTENT
|
19
|
785.590109
|
-15.319484
|
-37.051153
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
20
|
826.936957
|
-3.316289
|
-8.020657
|
CONSISTENT
|
20
|
826.936957
|
-3.316289
|
-8.020657
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
21
|
868.283805
|
-1.884386
|
-4.557508
|
INCONSISTENT
|
22
|
909.630653
|
39.462462
|
95.442492
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
21
|
868.283805
|
-16.074908
|
-38.878195
|
CONSISTENT
|
21
|
868.283805
|
-16.074908
|
-38.878195
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
22
|
909.630653
|
-8.298748
|
-20.071053
|
INCONSISTENT
|
23
|
950.977500
|
33.048100
|
79.928947
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
24
|
992.324348
|
8.298748
|
20.071053
|
INCONSISTENT
|
23
|
950.977500
|
-33.048100
|
-79.928947
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
25
|
1033.671196
|
16.074908
|
38.878195
|
CONSISTENT
|
25
|
1033.671196
|
16.074908
|
38.878195
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
25
|
1033.671196
|
1.884386
|
4.557508
|
INCONSISTENT
|
24
|
992.324348
|
-39.462462
|
-95.442492
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
26
|
1075.018044
|
3.316289
|
8.020657
|
CONSISTENT
|
26
|
1075.018044
|
3.316289
|
8.020657
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
27
|
1116.364892
|
15.319484
|
37.051153
|
CONSISTENT
|
27
|
1116.364892
|
15.319484
|
37.051153
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
27
|
1116.364892
|
-3.098073
|
-7.492888
|
CONSISTENT
|
27
|
1116.364892
|
-3.098073
|
-7.492888
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
28
|
1157.711740
|
6.877877
|
16.634586
|
INCONSISTENT
|
29
|
1199.058588
|
48.224725
|
116.634586
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
29
|
1199.058588
|
-8.080532
|
-19.543284
|
INCONSISTENT
|
30
|
1240.405435
|
33.266316
|
80.456716
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
30
|
1240.405435
|
8.638782
|
20.893447
|
INCONSISTENT
|
29
|
1199.058588
|
-32.708066
|
-79.106553
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
31
|
1281.752283
|
16.414942
|
39.700590
|
CONSISTENT
|
31
|
1281.752283
|
16.414942
|
39.700590
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
31
|
1281.752283
|
8.516963
|
20.598821
|
INCONSISTENT
|
30
|
1240.405435
|
-32.829885
|
-79.401179
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
31
|
1281.752283
|
-11.850731
|
-28.661753
|
CONSISTENT
|
31
|
1281.752283
|
-11.850731
|
-28.661753
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
32
|
1323.099131
|
3.656323
|
8.843051
|
CONSISTENT
|
32
|
1323.099131
|
3.656323
|
8.843051
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
32
|
1323.099131
|
-10.534200
|
-25.477637
|
INCONSISTENT
|
31
|
1281.752283
|
-51.881048
|
-125.477637
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
33
|
1364.445979
|
-0.558250
|
-1.350162
|
CONSISTENT
|
33
|
1364.445979
|
-0.558250
|
-1.350162
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
35
|
1447.139675
|
-5.540709
|
-13.400559
|
INCONSISTENT
|
36
|
1488.486522
|
35.806139
|
86.599441
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
35
|
1447.139675
|
-19.731231
|
-47.721246
|
CONSISTENT
|
35
|
1447.139675
|
-19.731231
|
-47.721246
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
37
|
1529.833370
|
8.856997
|
21.421215
|
INCONSISTENT
|
36
|
1488.486522
|
-32.489851
|
-78.578785
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
38
|
1571.180218
|
16.633158
|
40.228358
|
CONSISTENT
|
38
|
1571.180218
|
16.633158
|
40.228358
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
39
|
1612.527066
|
12.418585
|
30.035144
|
CONSISTENT
|
39
|
1612.527066
|
12.418585
|
30.035144
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
39
|
1612.527066
|
-0.218216
|
-0.527768
|
CONSISTENT
|
39
|
1612.527066
|
-0.218216
|
-0.527768
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
39
|
1612.527066
|
-11.837280
|
-28.629219
|
CONSISTENT
|
39
|
1612.527066
|
-11.837280
|
-28.629219
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
40
|
1653.873914
|
-0.340034
|
-0.822394
|
CONSISTENT
|
40
|
1653.873914
|
-0.340034
|
-0.822394
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
40
|
1653.873914
|
-8.910517
|
-21.550657
|
CONSISTENT
|
40
|
1653.873914
|
-8.910517
|
-21.550657
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
41
|
1695.220762
|
-5.200674
|
-12.578164
|
INCONSISTENT
|
42
|
1736.567609
|
36.146173
|
87.421836
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
42
|
1736.567609
|
-17.959294
|
-43.435703
|
INCONSISTENT
|
43
|
1777.914457
|
23.387554
|
56.564297
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
43
|
1777.914457
|
9.197031
|
22.243609
|
INCONSISTENT
|
42
|
1736.567609
|
-32.149817
|
-77.756391
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
43
|
1777.914457
|
-0.328352
|
-0.794140
|
CONSISTENT
|
43
|
1777.914457
|
-0.328352
|
-0.794140
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
44
|
1819.261305
|
4.982459
|
12.050396
|
INCONSISTENT
|
43
|
1777.914457
|
-36.364389
|
-87.949604
|
31
|
3/1
|
1901.955001
|
cP5
|
46
|
1901.955001
|
0
|
0
|
CONSISTENT
|
46
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales