User:Contribution/JI intervals approximated by 49edt
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49edt divides the tritave in 49 equal steps and the octave in 30.915558 equal steps of 38.815408 cents each. Its 31-limit patent val is <31 49 72 87 107 114 126 131 140 150 153|.
| 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
|
-36.558993
|
INCONSISTENT
|
1
|
38.815408
|
24.624886
|
63.441007
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
77.630816
|
-10.045338
|
-25.879770
|
CONSISTENT
|
2
|
77.630816
|
-10.045338
|
-25.879770
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
116.446225
|
-7.265967
|
-18.719285
|
CONSISTENT
|
3
|
116.446225
|
-7.265967
|
-18.719285
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
3
|
116.446225
|
-16.791350
|
-43.259497
|
CONSISTENT
|
3
|
116.446225
|
-16.791350
|
-43.259497
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
155.261633
|
7.833535
|
20.181510
|
CONSISTENT
|
4
|
155.261633
|
7.833535
|
20.181510
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
5
|
194.077041
|
-7.456524
|
-19.210216
|
CONSISTENT
|
5
|
194.077041
|
-7.456524
|
-19.210216
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
6
|
232.892449
|
-6.278121
|
-16.174301
|
CONSISTENT
|
6
|
232.892449
|
-6.278121
|
-16.174301
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
6
|
232.892449
|
-14.848604
|
-38.254406
|
INCONSISTENT
|
7
|
271.707857
|
23.966804
|
61.745594
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
7
|
271.707857
|
-5.882798
|
-15.155832
|
CONSISTENT
|
7
|
271.707857
|
-5.882798
|
-15.155832
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
7
|
271.707857
|
-17.501862
|
-45.089986
|
CONSISTENT
|
7
|
271.707857
|
-17.501862
|
-45.089986
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
8
|
310.523265
|
8.676745
|
22.353868
|
CONSISTENT
|
8
|
310.523265
|
8.676745
|
22.353868
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
9
|
349.338674
|
1.930733
|
4.974141
|
CONSISTENT
|
9
|
349.338674
|
1.930733
|
4.974141
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
10
|
388.154082
|
7.175454
|
18.486097
|
CONSISTENT
|
10
|
388.154082
|
7.175454
|
18.486097
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
11
|
426.969490
|
-8.114605
|
-20.905629
|
CONSISTENT
|
11
|
426.969490
|
-8.114605
|
-20.905629
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
12
|
465.784898
|
16.510280
|
42.535378
|
CONSISTENT
|
12
|
465.784898
|
16.510280
|
42.535378
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
14
|
543.415715
|
6.464942
|
16.655608
|
CONSISTENT
|
14
|
543.415715
|
6.464942
|
16.655608
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
15
|
582.231123
|
13.909453
|
35.834874
|
INCONSISTENT
|
14
|
543.415715
|
-24.905956
|
-64.165126
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
15
|
582.231123
|
-0.281070
|
-0.724119
|
CONSISTENT
|
15
|
582.231123
|
-0.281070
|
-0.724119
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
15
|
582.231123
|
-14.471592
|
-37.283113
|
INCONSISTENT
|
16
|
621.046531
|
24.343816
|
62.716887
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
16
|
621.046531
|
12.694544
|
32.704910
|
CONSISTENT
|
16
|
621.046531
|
12.694544
|
32.704910
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
16
|
621.046531
|
-7.673150
|
-19.768309
|
INCONSISTENT
|
17
|
659.861939
|
31.142258
|
80.231691
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
16
|
621.046531
|
-15.571129
|
-40.115845
|
CONSISTENT
|
16
|
621.046531
|
-15.571129
|
-40.115845
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
17
|
659.861939
|
-10.326408
|
-26.603889
|
CONSISTENT
|
17
|
659.861939
|
-10.326408
|
-26.603889
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
18
|
698.677347
|
3.861466
|
9.948281
|
CONSISTENT
|
18
|
698.677347
|
3.861466
|
9.948281
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
19
|
737.492755
|
-13.628383
|
-35.110755
|
INCONSISTENT
|
20
|
776.308164
|
25.187025
|
64.889245
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
20
|
776.308164
|
-6.183872
|
-15.931488
|
CONSISTENT
|
20
|
776.308164
|
-6.183872
|
-15.931488
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
21
|
815.123572
|
14.213979
|
36.619423
|
CONSISTENT
|
21
|
815.123572
|
14.213979
|
36.619423
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
21
|
815.123572
|
-15.129674
|
-38.978525
|
INCONSISTENT
|
22
|
853.938980
|
23.685734
|
61.021475
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
22
|
853.938980
|
-16.229211
|
-41.811258
|
CONSISTENT
|
22
|
853.938980
|
-16.229211
|
-41.811258
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
23
|
892.754388
|
8.395675
|
21.629748
|
CONSISTENT
|
23
|
892.754388
|
8.395675
|
21.629748
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
24
|
931.569796
|
13.640396
|
35.141705
|
CONSISTENT
|
24
|
931.569796
|
13.640396
|
35.141705
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
25
|
970.385205
|
-13.640396
|
-35.141705
|
CONSISTENT
|
25
|
970.385205
|
-13.640396
|
-35.141705
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
26
|
1009.200613
|
-8.395675
|
-21.629748
|
CONSISTENT
|
26
|
1009.200613
|
-8.395675
|
-21.629748
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
27
|
1048.016021
|
16.229211
|
41.811258
|
CONSISTENT
|
27
|
1048.016021
|
16.229211
|
41.811258
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
28
|
1086.831429
|
15.129674
|
38.978525
|
INCONSISTENT
|
27
|
1048.016021
|
-23.685734
|
-61.021475
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
28
|
1086.831429
|
-14.213979
|
-36.619423
|
CONSISTENT
|
28
|
1086.831429
|
-14.213979
|
-36.619423
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
29
|
1125.646837
|
6.183872
|
15.931488
|
CONSISTENT
|
29
|
1125.646837
|
6.183872
|
15.931488
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
30
|
1164.462245
|
13.628383
|
35.110755
|
INCONSISTENT
|
29
|
1125.646837
|
-25.187025
|
-64.889245
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
31
|
1203.277654
|
-3.861466
|
-9.948281
|
CONSISTENT
|
31
|
1203.277654
|
-3.861466
|
-9.948281
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
32
|
1242.093062
|
10.326408
|
26.603889
|
CONSISTENT
|
32
|
1242.093062
|
10.326408
|
26.603889
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
33
|
1280.908470
|
15.571129
|
40.115845
|
CONSISTENT
|
33
|
1280.908470
|
15.571129
|
40.115845
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
33
|
1280.908470
|
7.673150
|
19.768309
|
INCONSISTENT
|
32
|
1242.093062
|
-31.142258
|
-80.231691
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
33
|
1280.908470
|
-12.694544
|
-32.704910
|
CONSISTENT
|
33
|
1280.908470
|
-12.694544
|
-32.704910
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
34
|
1319.723878
|
0.281070
|
0.724119
|
CONSISTENT
|
34
|
1319.723878
|
0.281070
|
0.724119
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
34
|
1319.723878
|
-13.909453
|
-35.834874
|
INCONSISTENT
|
35
|
1358.539286
|
24.905956
|
64.165126
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
35
|
1358.539286
|
-6.464942
|
-16.655608
|
CONSISTENT
|
35
|
1358.539286
|
-6.464942
|
-16.655608
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
37
|
1436.170103
|
-16.510280
|
-42.535378
|
CONSISTENT
|
37
|
1436.170103
|
-16.510280
|
-42.535378
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
38
|
1474.985511
|
8.114605
|
20.905629
|
CONSISTENT
|
38
|
1474.985511
|
8.114605
|
20.905629
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
39
|
1513.800919
|
-7.175454
|
-18.486097
|
CONSISTENT
|
39
|
1513.800919
|
-7.175454
|
-18.486097
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
40
|
1552.616327
|
-1.930733
|
-4.974141
|
CONSISTENT
|
40
|
1552.616327
|
-1.930733
|
-4.974141
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
41
|
1591.431735
|
-8.676745
|
-22.353868
|
CONSISTENT
|
41
|
1591.431735
|
-8.676745
|
-22.353868
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
42
|
1630.247144
|
17.501862
|
45.089986
|
CONSISTENT
|
42
|
1630.247144
|
17.501862
|
45.089986
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
42
|
1630.247144
|
5.882798
|
15.155832
|
CONSISTENT
|
42
|
1630.247144
|
5.882798
|
15.155832
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
43
|
1669.062552
|
14.848604
|
38.254406
|
INCONSISTENT
|
42
|
1630.247144
|
-23.966804
|
-61.745594
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
43
|
1669.062552
|
6.278121
|
16.174301
|
CONSISTENT
|
43
|
1669.062552
|
6.278121
|
16.174301
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
44
|
1707.877960
|
7.456524
|
19.210216
|
CONSISTENT
|
44
|
1707.877960
|
7.456524
|
19.210216
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
45
|
1746.693368
|
-7.833535
|
-20.181510
|
CONSISTENT
|
45
|
1746.693368
|
-7.833535
|
-20.181510
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
46
|
1785.508776
|
16.791350
|
43.259497
|
CONSISTENT
|
46
|
1785.508776
|
16.791350
|
43.259497
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
46
|
1785.508776
|
7.265967
|
18.719285
|
CONSISTENT
|
46
|
1785.508776
|
7.265967
|
18.719285
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
47
|
1824.324185
|
10.045338
|
25.879770
|
CONSISTENT
|
47
|
1824.324185
|
10.045338
|
25.879770
|
31
|
3/1
|
1901.955001
|
cP5
|
49
|
1901.955001
|
0
|
0
|
CONSISTENT
|
49
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales