User:Contribution/JI intervals approximated by 54edt
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54edt divides the tritave in 54 equal steps and the octave in 34.070207 equal steps of 35.221389 cents each. Its 31-limit patent val is <34 54 79 96 118 126 139 145 154 166 169|.
| 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
|
-40.289503
|
INCONSISTENT
|
1
|
35.221389
|
21.030866
|
59.710497
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
70.442778
|
-17.233377
|
-48.928726
|
CONSISTENT
|
2
|
70.442778
|
-17.233377
|
-48.928726
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
140.885556
|
17.173364
|
48.758339
|
CONSISTENT
|
4
|
140.885556
|
17.173364
|
48.758339
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
140.885556
|
7.647981
|
21.714024
|
CONSISTENT
|
4
|
140.885556
|
7.647981
|
21.714024
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
140.885556
|
-6.542542
|
-18.575479
|
INCONSISTENT
|
5
|
176.106945
|
28.678847
|
81.424521
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
211.328333
|
9.794769
|
27.809149
|
CONSISTENT
|
6
|
211.328333
|
9.794769
|
27.809149
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
246.549722
|
7.379152
|
20.950771
|
CONSISTENT
|
7
|
246.549722
|
7.379152
|
20.950771
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
246.549722
|
-1.191331
|
-3.382407
|
CONSISTENT
|
7
|
246.549722
|
-1.191331
|
-3.382407
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
281.771111
|
4.180456
|
11.869083
|
CONSISTENT
|
8
|
281.771111
|
4.180456
|
11.869083
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
8
|
281.771111
|
-7.438608
|
-21.119576
|
CONSISTENT
|
8
|
281.771111
|
-7.438608
|
-21.119576
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
9
|
316.992500
|
15.145980
|
43.002222
|
INCONSISTENT
|
8
|
281.771111
|
-20.075409
|
-56.997778
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
10
|
352.213889
|
4.805948
|
13.644971
|
CONSISTENT
|
10
|
352.213889
|
4.805948
|
13.644971
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
11
|
387.435278
|
6.456650
|
18.331617
|
CONSISTENT
|
11
|
387.435278
|
6.456650
|
18.331617
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
12
|
422.656667
|
-12.427428
|
-35.283755
|
CONSISTENT
|
12
|
422.656667
|
-12.427428
|
-35.283755
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
13
|
457.878056
|
8.603438
|
24.426743
|
CONSISTENT
|
13
|
457.878056
|
8.603438
|
24.426743
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
15
|
528.320834
|
-8.629939
|
-24.501983
|
CONSISTENT
|
15
|
528.320834
|
-8.629939
|
-24.501983
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
16
|
563.542222
|
-4.779448
|
-13.569731
|
CONSISTENT
|
16
|
563.542222
|
-4.779448
|
-13.569731
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
17
|
598.763611
|
16.251419
|
46.140766
|
CONSISTENT
|
17
|
598.763611
|
16.251419
|
46.140766
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
17
|
598.763611
|
2.060896
|
5.851264
|
INCONSISTENT
|
18
|
633.985000
|
37.282285
|
105.851264
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
17
|
598.763611
|
-9.588375
|
-27.223160
|
CONSISTENT
|
17
|
598.763611
|
-9.588375
|
-27.223160
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
18
|
633.985000
|
5.265320
|
14.949210
|
CONSISTENT
|
18
|
633.985000
|
5.265320
|
14.949210
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
18
|
633.985000
|
-2.632660
|
-7.474605
|
CONSISTENT
|
18
|
633.985000
|
-2.632660
|
-7.474605
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
19
|
669.206389
|
-0.981958
|
-2.787959
|
CONSISTENT
|
19
|
669.206389
|
-0.981958
|
-2.787959
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
20
|
704.427778
|
9.611897
|
27.289943
|
CONSISTENT
|
20
|
704.427778
|
9.611897
|
27.289943
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
21
|
739.649167
|
-11.471971
|
-32.571036
|
CONSISTENT
|
21
|
739.649167
|
-11.471971
|
-32.571036
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
22
|
774.870556
|
-7.621480
|
-21.638783
|
CONSISTENT
|
22
|
774.870556
|
-7.621480
|
-21.638783
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
23
|
810.091945
|
9.182352
|
26.070385
|
CONSISTENT
|
23
|
810.091945
|
9.182352
|
26.070385
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
24
|
845.313334
|
15.060088
|
42.758360
|
CONSISTENT
|
24
|
845.313334
|
15.060088
|
42.758360
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
25
|
880.534723
|
10.366532
|
29.432491
|
INCONSISTENT
|
24
|
845.313334
|
-24.854857
|
-70.567509
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
25
|
880.534723
|
-3.823990
|
-10.857012
|
CONSISTENT
|
25
|
880.534723
|
-3.823990
|
-10.857012
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
26
|
915.756112
|
-2.173289
|
-6.170366
|
CONSISTENT
|
26
|
915.756112
|
-2.173289
|
-6.170366
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
28
|
986.198889
|
2.173289
|
6.170366
|
CONSISTENT
|
28
|
986.198889
|
2.173289
|
6.170366
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
29
|
1021.420278
|
3.823990
|
10.857012
|
CONSISTENT
|
29
|
1021.420278
|
3.823990
|
10.857012
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
29
|
1021.420278
|
-10.366532
|
-29.432491
|
INCONSISTENT
|
30
|
1056.641667
|
24.854857
|
70.567509
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
30
|
1056.641667
|
-15.060088
|
-42.758360
|
CONSISTENT
|
30
|
1056.641667
|
-15.060088
|
-42.758360
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
31
|
1091.863056
|
-9.182352
|
-26.070385
|
CONSISTENT
|
31
|
1091.863056
|
-9.182352
|
-26.070385
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
32
|
1127.084445
|
7.621480
|
21.638783
|
CONSISTENT
|
32
|
1127.084445
|
7.621480
|
21.638783
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
33
|
1162.305834
|
11.471971
|
32.571036
|
CONSISTENT
|
33
|
1162.305834
|
11.471971
|
32.571036
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
34
|
1197.527223
|
-9.611897
|
-27.289943
|
CONSISTENT
|
34
|
1197.527223
|
-9.611897
|
-27.289943
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
35
|
1232.748612
|
0.981958
|
2.787959
|
CONSISTENT
|
35
|
1232.748612
|
0.981958
|
2.787959
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
36
|
1267.970001
|
2.632660
|
7.474605
|
CONSISTENT
|
36
|
1267.970001
|
2.632660
|
7.474605
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
36
|
1267.970001
|
-5.265320
|
-14.949210
|
CONSISTENT
|
36
|
1267.970001
|
-5.265320
|
-14.949210
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
37
|
1303.191389
|
9.588375
|
27.223160
|
CONSISTENT
|
37
|
1303.191389
|
9.588375
|
27.223160
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
37
|
1303.191389
|
-16.251419
|
-46.140766
|
CONSISTENT
|
37
|
1303.191389
|
-16.251419
|
-46.140766
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
38
|
1338.412778
|
4.779448
|
13.569731
|
CONSISTENT
|
38
|
1338.412778
|
4.779448
|
13.569731
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
39
|
1373.634167
|
8.629939
|
24.501983
|
CONSISTENT
|
39
|
1373.634167
|
8.629939
|
24.501983
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
41
|
1444.076945
|
-8.603438
|
-24.426743
|
CONSISTENT
|
41
|
1444.076945
|
-8.603438
|
-24.426743
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
42
|
1479.298334
|
12.427428
|
35.283755
|
CONSISTENT
|
42
|
1479.298334
|
12.427428
|
35.283755
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
43
|
1514.519723
|
-6.456650
|
-18.331617
|
CONSISTENT
|
43
|
1514.519723
|
-6.456650
|
-18.331617
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
44
|
1549.741112
|
-4.805948
|
-13.644971
|
CONSISTENT
|
44
|
1549.741112
|
-4.805948
|
-13.644971
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
45
|
1584.962501
|
-15.145980
|
-43.002222
|
INCONSISTENT
|
46
|
1620.183890
|
20.075409
|
56.997778
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
46
|
1620.183890
|
7.438608
|
21.119576
|
CONSISTENT
|
46
|
1620.183890
|
7.438608
|
21.119576
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
46
|
1620.183890
|
-4.180456
|
-11.869083
|
CONSISTENT
|
46
|
1620.183890
|
-4.180456
|
-11.869083
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
47
|
1655.405279
|
1.191331
|
3.382407
|
CONSISTENT
|
47
|
1655.405279
|
1.191331
|
3.382407
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
47
|
1655.405279
|
-7.379152
|
-20.950771
|
CONSISTENT
|
47
|
1655.405279
|
-7.379152
|
-20.950771
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
48
|
1690.626667
|
-9.794769
|
-27.809149
|
CONSISTENT
|
48
|
1690.626667
|
-9.794769
|
-27.809149
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
50
|
1761.069445
|
6.542542
|
18.575479
|
INCONSISTENT
|
49
|
1725.848056
|
-28.678847
|
-81.424521
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
50
|
1761.069445
|
-7.647981
|
-21.714024
|
CONSISTENT
|
50
|
1761.069445
|
-7.647981
|
-21.714024
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
50
|
1761.069445
|
-17.173364
|
-48.758339
|
CONSISTENT
|
50
|
1761.069445
|
-17.173364
|
-48.758339
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
52
|
1831.512223
|
17.233377
|
48.928726
|
CONSISTENT
|
52
|
1831.512223
|
17.233377
|
48.928726
|
31
|
3/1
|
1901.955001
|
cP5
|
54
|
1901.955001
|
0
|
0
|
CONSISTENT
|
54
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales