User:Contribution/JI intervals approximated by 28edt
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28edt divides the tritave in 28 equal steps and the octave in 17.666033 equal steps of 67.926964 cents each. Its 31-limit patent val is <18 28 41 50 61 65 72 75 80 86 88|.
| 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
|
-20.890853
|
INCONSISTENT
|
1
|
67.926964
|
53.736442
|
79.109147
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
67.926964
|
-19.749190
|
-29.074154
|
CONSISTENT
|
1
|
67.926964
|
-19.749190
|
-29.074154
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
135.853929
|
12.141737
|
17.874694
|
CONSISTENT
|
2
|
135.853929
|
12.141737
|
17.874694
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
135.853929
|
2.616354
|
3.851716
|
CONSISTENT
|
2
|
135.853929
|
2.616354
|
3.851716
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
2
|
135.853929
|
-11.574169
|
-17.039137
|
INCONSISTENT
|
3
|
203.780893
|
56.352796
|
82.960863
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
3
|
203.780893
|
2.247328
|
3.308448
|
CONSISTENT
|
3
|
203.780893
|
2.247328
|
3.308448
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
4
|
271.707857
|
32.537287
|
47.900400
|
CONSISTENT
|
4
|
271.707857
|
32.537287
|
47.900400
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
4
|
271.707857
|
23.966804
|
35.283197
|
CONSISTENT
|
4
|
271.707857
|
23.966804
|
35.283197
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
4
|
271.707857
|
-5.882798
|
-8.660475
|
CONSISTENT
|
4
|
271.707857
|
-5.882798
|
-8.660475
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
4
|
271.707857
|
-17.501862
|
-25.765706
|
CONSISTENT
|
4
|
271.707857
|
-17.501862
|
-25.765706
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
4
|
271.707857
|
-30.138663
|
-44.369218
|
CONSISTENT
|
4
|
271.707857
|
-30.138663
|
-44.369218
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
5
|
339.634822
|
-7.773119
|
-11.443348
|
CONSISTENT
|
5
|
339.634822
|
-7.773119
|
-11.443348
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
6
|
407.561786
|
26.583158
|
39.134913
|
CONSISTENT
|
6
|
407.561786
|
26.583158
|
39.134913
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
6
|
407.561786
|
-27.522309
|
-40.517502
|
CONSISTENT
|
6
|
407.561786
|
-27.522309
|
-40.517502
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
7
|
475.488750
|
26.214132
|
38.591644
|
CONSISTENT
|
7
|
475.488750
|
26.214132
|
38.591644
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
8
|
543.415715
|
6.464942
|
9.517490
|
CONSISTENT
|
8
|
543.415715
|
6.464942
|
9.517490
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
8
|
543.415715
|
-24.905956
|
-36.665786
|
CONSISTENT
|
8
|
543.415715
|
-24.905956
|
-36.665786
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
9
|
611.342679
|
28.830486
|
42.443360
|
CONSISTENT
|
9
|
611.342679
|
28.830486
|
42.443360
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
9
|
611.342679
|
14.639964
|
21.552507
|
INCONSISTENT
|
10
|
679.269643
|
82.566928
|
121.552507
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
9
|
611.342679
|
2.990692
|
4.402806
|
CONSISTENT
|
9
|
611.342679
|
2.990692
|
4.402806
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
9
|
611.342679
|
-17.377002
|
-25.581891
|
INCONSISTENT
|
10
|
679.269643
|
50.549962
|
74.418109
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
9
|
611.342679
|
-25.274981
|
-37.209055
|
CONSISTENT
|
9
|
611.342679
|
-25.274981
|
-37.209055
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
10
|
679.269643
|
9.081296
|
13.369206
|
CONSISTENT
|
10
|
679.269643
|
9.081296
|
13.369206
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
10
|
679.269643
|
-15.546238
|
-22.886696
|
CONSISTENT
|
10
|
679.269643
|
-15.546238
|
-22.886696
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
11
|
747.196607
|
-3.924531
|
-5.777574
|
CONSISTENT
|
11
|
747.196607
|
-3.924531
|
-5.777574
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
12
|
815.123572
|
32.631536
|
48.039149
|
INCONSISTENT
|
11
|
747.196607
|
-35.295428
|
-51.960851
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
12
|
815.123572
|
14.213979
|
20.925385
|
CONSISTENT
|
12
|
815.123572
|
14.213979
|
20.925385
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
12
|
815.123572
|
-15.129674
|
-22.273443
|
INCONSISTENT
|
13
|
883.050536
|
52.797291
|
77.726557
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
13
|
883.050536
|
12.882346
|
18.964995
|
INCONSISTENT
|
12
|
815.123572
|
-55.044619
|
-81.035005
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
13
|
883.050536
|
-1.308177
|
-1.925858
|
CONSISTENT
|
13
|
883.050536
|
-1.308177
|
-1.925858
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
14
|
950.977500
|
33.048100
|
48.652403
|
CONSISTENT
|
14
|
950.977500
|
33.048100
|
48.652403
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
14
|
950.977500
|
-33.048100
|
-48.652403
|
CONSISTENT
|
14
|
950.977500
|
-33.048100
|
-48.652403
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
15
|
1018.904465
|
1.308177
|
1.925858
|
CONSISTENT
|
15
|
1018.904465
|
1.308177
|
1.925858
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
15
|
1018.904465
|
-12.882346
|
-18.964995
|
INCONSISTENT
|
16
|
1086.831429
|
55.044619
|
81.035005
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
16
|
1086.831429
|
15.129674
|
22.273443
|
INCONSISTENT
|
15
|
1018.904465
|
-52.797291
|
-77.726557
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
16
|
1086.831429
|
-14.213979
|
-20.925385
|
CONSISTENT
|
16
|
1086.831429
|
-14.213979
|
-20.925385
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
16
|
1086.831429
|
-32.631536
|
-48.039149
|
INCONSISTENT
|
17
|
1154.758393
|
35.295428
|
51.960851
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
17
|
1154.758393
|
3.924531
|
5.777574
|
CONSISTENT
|
17
|
1154.758393
|
3.924531
|
5.777574
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
18
|
1222.685358
|
15.546238
|
22.886696
|
CONSISTENT
|
18
|
1222.685358
|
15.546238
|
22.886696
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
18
|
1222.685358
|
-9.081296
|
-13.369206
|
CONSISTENT
|
18
|
1222.685358
|
-9.081296
|
-13.369206
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
19
|
1290.612322
|
25.274981
|
37.209055
|
CONSISTENT
|
19
|
1290.612322
|
25.274981
|
37.209055
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
19
|
1290.612322
|
17.377002
|
25.581891
|
INCONSISTENT
|
18
|
1222.685358
|
-50.549962
|
-74.418109
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
19
|
1290.612322
|
-2.990692
|
-4.402806
|
CONSISTENT
|
19
|
1290.612322
|
-2.990692
|
-4.402806
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
19
|
1290.612322
|
-28.830486
|
-42.443360
|
CONSISTENT
|
19
|
1290.612322
|
-28.830486
|
-42.443360
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
20
|
1358.539286
|
24.905956
|
36.665786
|
CONSISTENT
|
20
|
1358.539286
|
24.905956
|
36.665786
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
20
|
1358.539286
|
-6.464942
|
-9.517490
|
CONSISTENT
|
20
|
1358.539286
|
-6.464942
|
-9.517490
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
21
|
1426.466251
|
-26.214132
|
-38.591644
|
CONSISTENT
|
21
|
1426.466251
|
-26.214132
|
-38.591644
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
22
|
1494.393215
|
27.522309
|
40.517502
|
CONSISTENT
|
22
|
1494.393215
|
27.522309
|
40.517502
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
22
|
1494.393215
|
-26.583158
|
-39.134913
|
CONSISTENT
|
22
|
1494.393215
|
-26.583158
|
-39.134913
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
23
|
1562.320179
|
7.773119
|
11.443348
|
CONSISTENT
|
23
|
1562.320179
|
7.773119
|
11.443348
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
24
|
1630.247144
|
30.138663
|
44.369218
|
CONSISTENT
|
24
|
1630.247144
|
30.138663
|
44.369218
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
24
|
1630.247144
|
17.501862
|
25.765706
|
CONSISTENT
|
24
|
1630.247144
|
17.501862
|
25.765706
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
24
|
1630.247144
|
5.882798
|
8.660475
|
CONSISTENT
|
24
|
1630.247144
|
5.882798
|
8.660475
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
24
|
1630.247144
|
-23.966804
|
-35.283197
|
CONSISTENT
|
24
|
1630.247144
|
-23.966804
|
-35.283197
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
24
|
1630.247144
|
-32.537287
|
-47.900400
|
CONSISTENT
|
24
|
1630.247144
|
-32.537287
|
-47.900400
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
25
|
1698.174108
|
-2.247328
|
-3.308448
|
CONSISTENT
|
25
|
1698.174108
|
-2.247328
|
-3.308448
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
26
|
1766.101072
|
11.574169
|
17.039137
|
INCONSISTENT
|
25
|
1698.174108
|
-56.352796
|
-82.960863
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
26
|
1766.101072
|
-2.616354
|
-3.851716
|
CONSISTENT
|
26
|
1766.101072
|
-2.616354
|
-3.851716
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
26
|
1766.101072
|
-12.141737
|
-17.874694
|
CONSISTENT
|
26
|
1766.101072
|
-12.141737
|
-17.874694
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
27
|
1834.028037
|
19.749190
|
29.074154
|
CONSISTENT
|
27
|
1834.028037
|
19.749190
|
29.074154
|
31
|
3/1
|
1901.955001
|
cP5
|
28
|
1901.955001
|
0
|
0
|
CONSISTENT
|
28
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales