User:Contribution/JI intervals approximated by 45edt
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45edt divides the tritave in 45 equal steps and the octave in 28.391839 equal steps of 42.265667 cents each. Its 31-limit patent val is <28 45 66 80 98 105 116 121 128 138 141|.
| 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
|
-33.574586
|
INCONSISTENT
|
1
|
42.265667
|
28.075144
|
66.425414
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
84.531333
|
-3.144821
|
-7.440605
|
CONSISTENT
|
2
|
84.531333
|
-3.144821
|
-7.440605
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
126.797000
|
3.084809
|
7.298616
|
CONSISTENT
|
3
|
126.797000
|
3.084809
|
7.298616
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
3
|
126.797000
|
-6.440575
|
-15.238314
|
CONSISTENT
|
3
|
126.797000
|
-6.440575
|
-15.238314
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
3
|
126.797000
|
-20.631097
|
-48.812899
|
INCONSISTENT
|
4
|
169.062667
|
21.634569
|
51.187101
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
5
|
211.328333
|
9.794769
|
23.174291
|
CONSISTENT
|
5
|
211.328333
|
9.794769
|
23.174291
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
6
|
253.594000
|
14.423430
|
34.125642
|
CONSISTENT
|
6
|
253.594000
|
14.423430
|
34.125642
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
6
|
253.594000
|
5.852947
|
13.847994
|
CONSISTENT
|
6
|
253.594000
|
5.852947
|
13.847994
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
7
|
295.859667
|
18.269011
|
43.224236
|
CONSISTENT
|
7
|
295.859667
|
18.269011
|
43.224236
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
7
|
295.859667
|
6.649947
|
15.733686
|
CONSISTENT
|
7
|
295.859667
|
6.649947
|
15.733686
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
7
|
295.859667
|
-5.986854
|
-14.164815
|
CONSISTENT
|
7
|
295.859667
|
-5.986854
|
-14.164815
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
8
|
338.125333
|
-9.282607
|
-21.962524
|
CONSISTENT
|
8
|
338.125333
|
-9.282607
|
-21.962524
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
9
|
380.391000
|
-0.587628
|
-1.390319
|
CONSISTENT
|
9
|
380.391000
|
-0.587628
|
-1.390319
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
10
|
422.656667
|
-12.427428
|
-29.403129
|
CONSISTENT
|
10
|
422.656667
|
-12.427428
|
-29.403129
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
11
|
464.922334
|
15.647716
|
37.022286
|
CONSISTENT
|
11
|
464.922334
|
15.647716
|
37.022286
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
13
|
549.453667
|
12.502895
|
29.581681
|
CONSISTENT
|
13
|
549.453667
|
12.502895
|
29.581681
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
13
|
549.453667
|
-18.868003
|
-44.641442
|
CONSISTENT
|
13
|
549.453667
|
-18.868003
|
-44.641442
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
14
|
591.719334
|
9.207141
|
21.783972
|
CONSISTENT
|
14
|
591.719334
|
9.207141
|
21.783972
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
14
|
591.719334
|
-4.983381
|
-11.790614
|
INCONSISTENT
|
15
|
633.985000
|
37.282285
|
88.209386
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
14
|
591.719334
|
-16.632653
|
-39.352633
|
CONSISTENT
|
14
|
591.719334
|
-16.632653
|
-39.352633
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
15
|
633.985000
|
5.265320
|
12.457675
|
CONSISTENT
|
15
|
633.985000
|
5.265320
|
12.457675
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
15
|
633.985000
|
-2.632660
|
-6.228838
|
CONSISTENT
|
15
|
633.985000
|
-2.632660
|
-6.228838
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
16
|
676.250667
|
6.062320
|
14.343367
|
CONSISTENT
|
16
|
676.250667
|
6.062320
|
14.343367
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
16
|
676.250667
|
-18.565214
|
-43.925048
|
CONSISTENT
|
16
|
676.250667
|
-18.565214
|
-43.925048
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
18
|
760.782000
|
9.660862
|
22.857470
|
CONSISTENT
|
18
|
760.782000
|
9.660862
|
22.857470
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
19
|
803.047667
|
20.555631
|
48.634347
|
INCONSISTENT
|
18
|
760.782000
|
-21.710036
|
-51.365653
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
19
|
803.047667
|
2.138074
|
5.058654
|
CONSISTENT
|
19
|
803.047667
|
2.138074
|
5.058654
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
20
|
845.313334
|
15.060088
|
35.631966
|
CONSISTENT
|
20
|
845.313334
|
15.060088
|
35.631966
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
21
|
887.579000
|
17.410810
|
41.193742
|
INCONSISTENT
|
20
|
845.313334
|
-24.854857
|
-58.806258
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
21
|
887.579000
|
3.220287
|
7.619157
|
CONSISTENT
|
21
|
887.579000
|
3.220287
|
7.619157
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
22
|
929.844667
|
11.915267
|
28.191362
|
CONSISTENT
|
22
|
929.844667
|
11.915267
|
28.191362
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
23
|
972.110334
|
-11.915267
|
-28.191362
|
CONSISTENT
|
23
|
972.110334
|
-11.915267
|
-28.191362
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
24
|
1014.376000
|
-3.220287
|
-7.619157
|
CONSISTENT
|
24
|
1014.376000
|
-3.220287
|
-7.619157
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
24
|
1014.376000
|
-17.410810
|
-41.193742
|
INCONSISTENT
|
25
|
1056.641667
|
24.854857
|
58.806258
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
25
|
1056.641667
|
-15.060088
|
-35.631966
|
CONSISTENT
|
25
|
1056.641667
|
-15.060088
|
-35.631966
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
26
|
1098.907334
|
-2.138074
|
-5.058654
|
CONSISTENT
|
26
|
1098.907334
|
-2.138074
|
-5.058654
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
26
|
1098.907334
|
-20.555631
|
-48.634347
|
INCONSISTENT
|
27
|
1141.173001
|
21.710036
|
51.365653
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
27
|
1141.173001
|
-9.660862
|
-22.857470
|
CONSISTENT
|
27
|
1141.173001
|
-9.660862
|
-22.857470
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
29
|
1225.704334
|
18.565214
|
43.925048
|
CONSISTENT
|
29
|
1225.704334
|
18.565214
|
43.925048
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
29
|
1225.704334
|
-6.062320
|
-14.343367
|
CONSISTENT
|
29
|
1225.704334
|
-6.062320
|
-14.343367
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
30
|
1267.970001
|
2.632660
|
6.228838
|
CONSISTENT
|
30
|
1267.970001
|
2.632660
|
6.228838
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
30
|
1267.970001
|
-5.265320
|
-12.457675
|
CONSISTENT
|
30
|
1267.970001
|
-5.265320
|
-12.457675
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
31
|
1310.235667
|
16.632653
|
39.352633
|
CONSISTENT
|
31
|
1310.235667
|
16.632653
|
39.352633
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
31
|
1310.235667
|
-9.207141
|
-21.783972
|
CONSISTENT
|
31
|
1310.235667
|
-9.207141
|
-21.783972
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
32
|
1352.501334
|
18.868003
|
44.641442
|
CONSISTENT
|
32
|
1352.501334
|
18.868003
|
44.641442
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
32
|
1352.501334
|
-12.502895
|
-29.581681
|
CONSISTENT
|
32
|
1352.501334
|
-12.502895
|
-29.581681
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
34
|
1437.032667
|
-15.647716
|
-37.022286
|
CONSISTENT
|
34
|
1437.032667
|
-15.647716
|
-37.022286
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
35
|
1479.298334
|
12.427428
|
29.403129
|
CONSISTENT
|
35
|
1479.298334
|
12.427428
|
29.403129
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
36
|
1521.564001
|
0.587628
|
1.390319
|
CONSISTENT
|
36
|
1521.564001
|
0.587628
|
1.390319
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
37
|
1563.829667
|
9.282607
|
21.962524
|
CONSISTENT
|
37
|
1563.829667
|
9.282607
|
21.962524
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
38
|
1606.095334
|
5.986854
|
14.164815
|
CONSISTENT
|
38
|
1606.095334
|
5.986854
|
14.164815
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
38
|
1606.095334
|
-6.649947
|
-15.733686
|
CONSISTENT
|
38
|
1606.095334
|
-6.649947
|
-15.733686
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
38
|
1606.095334
|
-18.269011
|
-43.224236
|
CONSISTENT
|
38
|
1606.095334
|
-18.269011
|
-43.224236
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
39
|
1648.361001
|
-5.852947
|
-13.847994
|
CONSISTENT
|
39
|
1648.361001
|
-5.852947
|
-13.847994
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
39
|
1648.361001
|
-14.423430
|
-34.125642
|
CONSISTENT
|
39
|
1648.361001
|
-14.423430
|
-34.125642
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
40
|
1690.626667
|
-9.794769
|
-23.174291
|
CONSISTENT
|
40
|
1690.626667
|
-9.794769
|
-23.174291
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
42
|
1775.158001
|
20.631097
|
48.812899
|
INCONSISTENT
|
41
|
1732.892334
|
-21.634569
|
-51.187101
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
42
|
1775.158001
|
6.440575
|
15.238314
|
CONSISTENT
|
42
|
1775.158001
|
6.440575
|
15.238314
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
42
|
1775.158001
|
-3.084809
|
-7.298616
|
CONSISTENT
|
42
|
1775.158001
|
-3.084809
|
-7.298616
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
43
|
1817.423667
|
3.144821
|
7.440605
|
CONSISTENT
|
43
|
1817.423667
|
3.144821
|
7.440605
|
31
|
3/1
|
1901.955001
|
cP5
|
45
|
1901.955001
|
0
|
0
|
CONSISTENT
|
45
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales