User:Contribution/JI intervals approximated by 56edt
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56edt divides the tritave in 56 equal steps and the octave in 35.332066 equal steps of 33.963482 cents each. Its 31-limit patent val is <35 56 82 99 122 131 144 150 160 172 175|.
| 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
|
-41.781707
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-41.781707
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
101.890446
|
14.214292
|
41.851692
|
CONSISTENT
|
3
|
101.890446
|
14.214292
|
41.851692
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
135.853929
|
12.141737
|
35.749388
|
CONSISTENT
|
4
|
135.853929
|
12.141737
|
35.749388
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
135.853929
|
2.616354
|
7.703432
|
CONSISTENT
|
4
|
135.853929
|
2.616354
|
7.703432
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
135.853929
|
-11.574169
|
-34.078275
|
CONSISTENT
|
4
|
135.853929
|
-11.574169
|
-34.078275
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
203.780893
|
2.247328
|
6.616896
|
CONSISTENT
|
6
|
203.780893
|
2.247328
|
6.616896
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
237.744375
|
-1.426195
|
-4.199201
|
CONSISTENT
|
7
|
237.744375
|
-1.426195
|
-4.199201
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
237.744375
|
-9.996678
|
-29.433607
|
CONSISTENT
|
7
|
237.744375
|
-9.996678
|
-29.433607
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
271.707857
|
-5.882798
|
-17.320951
|
CONSISTENT
|
8
|
271.707857
|
-5.882798
|
-17.320951
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
9
|
305.671339
|
16.461620
|
48.468587
|
CONSISTENT
|
9
|
305.671339
|
16.461620
|
48.468587
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
9
|
305.671339
|
3.824819
|
11.261563
|
CONSISTENT
|
9
|
305.671339
|
3.824819
|
11.261563
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
10
|
339.634822
|
-7.773119
|
-22.886696
|
CONSISTENT
|
10
|
339.634822
|
-7.773119
|
-22.886696
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
11
|
373.598304
|
-7.380324
|
-21.730175
|
CONSISTENT
|
11
|
373.598304
|
-7.380324
|
-21.730175
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
13
|
441.525268
|
6.441173
|
18.964995
|
CONSISTENT
|
13
|
441.525268
|
6.441173
|
18.964995
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
13
|
441.525268
|
-7.749350
|
-22.816711
|
CONSISTENT
|
13
|
441.525268
|
-7.749350
|
-22.816711
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
16
|
543.415715
|
6.464942
|
19.034980
|
CONSISTENT
|
16
|
543.415715
|
6.464942
|
19.034980
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
17
|
577.379197
|
9.057527
|
26.668427
|
CONSISTENT
|
17
|
577.379197
|
9.057527
|
26.668427
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
17
|
577.379197
|
-5.132996
|
-15.113279
|
CONSISTENT
|
17
|
577.379197
|
-5.132996
|
-15.113279
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
18
|
611.342679
|
14.639964
|
43.105014
|
INCONSISTENT
|
17
|
577.379197
|
-19.323518
|
-56.894986
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
18
|
611.342679
|
2.990692
|
8.805612
|
CONSISTENT
|
18
|
611.342679
|
2.990692
|
8.805612
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
19
|
645.306161
|
16.586480
|
48.836218
|
INCONSISTENT
|
18
|
611.342679
|
-17.377002
|
-51.163782
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
19
|
645.306161
|
8.688501
|
25.581891
|
CONSISTENT
|
19
|
645.306161
|
8.688501
|
25.581891
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
20
|
679.269643
|
9.081296
|
26.738412
|
CONSISTENT
|
20
|
679.269643
|
9.081296
|
26.738412
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
20
|
679.269643
|
-15.546238
|
-45.773393
|
CONSISTENT
|
20
|
679.269643
|
-15.546238
|
-45.773393
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
22
|
747.196607
|
-3.924531
|
-11.555148
|
CONSISTENT
|
22
|
747.196607
|
-3.924531
|
-11.555148
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
23
|
781.160090
|
-1.331946
|
-3.921701
|
CONSISTENT
|
23
|
781.160090
|
-1.331946
|
-3.921701
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
24
|
815.123572
|
14.213979
|
41.850770
|
CONSISTENT
|
24
|
815.123572
|
14.213979
|
41.850770
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
24
|
815.123572
|
-15.129674
|
-44.546886
|
CONSISTENT
|
24
|
815.123572
|
-15.129674
|
-44.546886
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
26
|
883.050536
|
12.882346
|
37.929991
|
CONSISTENT
|
26
|
883.050536
|
12.882346
|
37.929991
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
26
|
883.050536
|
-1.308177
|
-3.851716
|
CONSISTENT
|
26
|
883.050536
|
-1.308177
|
-3.851716
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
27
|
917.014018
|
-0.915382
|
-2.695195
|
CONSISTENT
|
27
|
917.014018
|
-0.915382
|
-2.695195
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
29
|
984.940983
|
0.915382
|
2.695195
|
CONSISTENT
|
29
|
984.940983
|
0.915382
|
2.695195
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
30
|
1018.904465
|
1.308177
|
3.851716
|
CONSISTENT
|
30
|
1018.904465
|
1.308177
|
3.851716
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
30
|
1018.904465
|
-12.882346
|
-37.929991
|
CONSISTENT
|
30
|
1018.904465
|
-12.882346
|
-37.929991
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
32
|
1086.831429
|
15.129674
|
44.546886
|
CONSISTENT
|
32
|
1086.831429
|
15.129674
|
44.546886
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
32
|
1086.831429
|
-14.213979
|
-41.850770
|
CONSISTENT
|
32
|
1086.831429
|
-14.213979
|
-41.850770
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
33
|
1120.794911
|
1.331946
|
3.921701
|
CONSISTENT
|
33
|
1120.794911
|
1.331946
|
3.921701
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
34
|
1154.758393
|
3.924531
|
11.555148
|
CONSISTENT
|
34
|
1154.758393
|
3.924531
|
11.555148
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
36
|
1222.685358
|
15.546238
|
45.773393
|
CONSISTENT
|
36
|
1222.685358
|
15.546238
|
45.773393
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
36
|
1222.685358
|
-9.081296
|
-26.738412
|
CONSISTENT
|
36
|
1222.685358
|
-9.081296
|
-26.738412
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
37
|
1256.648840
|
-8.688501
|
-25.581891
|
CONSISTENT
|
37
|
1256.648840
|
-8.688501
|
-25.581891
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
37
|
1256.648840
|
-16.586480
|
-48.836218
|
INCONSISTENT
|
38
|
1290.612322
|
17.377002
|
51.163782
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
38
|
1290.612322
|
-2.990692
|
-8.805612
|
CONSISTENT
|
38
|
1290.612322
|
-2.990692
|
-8.805612
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
39
|
1324.575804
|
5.132996
|
15.113279
|
CONSISTENT
|
39
|
1324.575804
|
5.132996
|
15.113279
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
39
|
1324.575804
|
-9.057527
|
-26.668427
|
CONSISTENT
|
39
|
1324.575804
|
-9.057527
|
-26.668427
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
40
|
1358.539286
|
-6.464942
|
-19.034980
|
CONSISTENT
|
40
|
1358.539286
|
-6.464942
|
-19.034980
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
43
|
1460.429733
|
7.749350
|
22.816711
|
CONSISTENT
|
43
|
1460.429733
|
7.749350
|
22.816711
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
43
|
1460.429733
|
-6.441173
|
-18.964995
|
CONSISTENT
|
43
|
1460.429733
|
-6.441173
|
-18.964995
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
45
|
1528.356697
|
7.380324
|
21.730175
|
CONSISTENT
|
45
|
1528.356697
|
7.380324
|
21.730175
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
46
|
1562.320179
|
7.773119
|
22.886696
|
CONSISTENT
|
46
|
1562.320179
|
7.773119
|
22.886696
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
47
|
1596.283661
|
-3.824819
|
-11.261563
|
CONSISTENT
|
47
|
1596.283661
|
-3.824819
|
-11.261563
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
47
|
1596.283661
|
-16.461620
|
-48.468587
|
CONSISTENT
|
47
|
1596.283661
|
-16.461620
|
-48.468587
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
48
|
1630.247144
|
5.882798
|
17.320951
|
CONSISTENT
|
48
|
1630.247144
|
5.882798
|
17.320951
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
49
|
1664.210626
|
9.996678
|
29.433607
|
CONSISTENT
|
49
|
1664.210626
|
9.996678
|
29.433607
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
49
|
1664.210626
|
1.426195
|
4.199201
|
CONSISTENT
|
49
|
1664.210626
|
1.426195
|
4.199201
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
50
|
1698.174108
|
-2.247328
|
-6.616896
|
CONSISTENT
|
50
|
1698.174108
|
-2.247328
|
-6.616896
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
52
|
1766.101072
|
11.574169
|
34.078275
|
CONSISTENT
|
52
|
1766.101072
|
11.574169
|
34.078275
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
52
|
1766.101072
|
-2.616354
|
-7.703432
|
CONSISTENT
|
52
|
1766.101072
|
-2.616354
|
-7.703432
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
52
|
1766.101072
|
-12.141737
|
-35.749388
|
CONSISTENT
|
52
|
1766.101072
|
-12.141737
|
-35.749388
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
53
|
1800.064554
|
-14.214292
|
-41.851692
|
CONSISTENT
|
53
|
1800.064554
|
-14.214292
|
-41.851692
|
31
|
3/1
|
1901.955001
|
cP5
|
56
|
1901.955001
|
0
|
0
|
CONSISTENT
|
56
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales