User:Contribution/JI intervals approximated by 27edt
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27edt divides the tritave in 27 equal steps and the octave in 17.035103 equal steps of 70.442778 cents each. Its 31-limit patent val is <17 27 40 48 59 63 70 72 77 83 84|.
| 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
|
-20.144751
|
INCONSISTENT
|
1
|
70.442778
|
56.252255
|
79.855249
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
70.442778
|
-17.233377
|
-24.464363
|
CONSISTENT
|
1
|
70.442778
|
-17.233377
|
-24.464363
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
140.885556
|
17.173364
|
24.379169
|
CONSISTENT
|
2
|
140.885556
|
17.173364
|
24.379169
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
140.885556
|
7.647981
|
10.857012
|
INCONSISTENT
|
1
|
70.442778
|
-62.794797
|
-89.142988
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
2
|
140.885556
|
-6.542542
|
-9.287740
|
CONSISTENT
|
2
|
140.885556
|
-6.542542
|
-9.287740
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
3
|
211.328333
|
9.794769
|
13.904575
|
CONSISTENT
|
3
|
211.328333
|
9.794769
|
13.904575
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
3
|
211.328333
|
-27.842236
|
-39.524615
|
CONSISTENT
|
3
|
211.328333
|
-27.842236
|
-39.524615
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
4
|
281.771111
|
34.030058
|
48.308797
|
CONSISTENT
|
4
|
281.771111
|
34.030058
|
48.308797
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
4
|
281.771111
|
4.180456
|
5.934542
|
CONSISTENT
|
4
|
281.771111
|
4.180456
|
5.934542
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
4
|
281.771111
|
-7.438608
|
-10.559788
|
CONSISTENT
|
4
|
281.771111
|
-7.438608
|
-10.559788
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
4
|
281.771111
|
-20.075409
|
-28.498889
|
INCONSISTENT
|
5
|
352.213889
|
50.367369
|
71.501111
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
5
|
352.213889
|
4.805948
|
6.822486
|
CONSISTENT
|
5
|
352.213889
|
4.805948
|
6.822486
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
5
|
352.213889
|
-28.764739
|
-40.834191
|
CONSISTENT
|
5
|
352.213889
|
-28.764739
|
-40.834191
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
6
|
422.656667
|
-12.427428
|
-17.641877
|
CONSISTENT
|
6
|
422.656667
|
-12.427428
|
-17.641877
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
6
|
422.656667
|
-26.617951
|
-37.786629
|
INCONSISTENT
|
7
|
493.099445
|
43.824827
|
62.213371
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
8
|
563.542222
|
26.591450
|
37.749008
|
CONSISTENT
|
8
|
563.542222
|
26.591450
|
37.749008
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
8
|
563.542222
|
-4.779448
|
-6.784865
|
INCONSISTENT
|
7
|
493.099445
|
-75.222225
|
-106.784865
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
8
|
563.542222
|
-18.969970
|
-26.929617
|
CONSISTENT
|
8
|
563.542222
|
-18.969970
|
-26.929617
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
8
|
563.542222
|
-33.160493
|
-47.074368
|
INCONSISTENT
|
9
|
633.985000
|
37.282285
|
52.925632
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
9
|
633.985000
|
25.633014
|
36.388420
|
CONSISTENT
|
9
|
633.985000
|
25.633014
|
36.388420
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
9
|
633.985000
|
5.265320
|
7.474605
|
CONSISTENT
|
9
|
633.985000
|
5.265320
|
7.474605
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
9
|
633.985000
|
-2.632660
|
-3.737303
|
CONSISTENT
|
9
|
633.985000
|
-2.632660
|
-3.737303
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
10
|
704.427778
|
34.239431
|
48.606020
|
INCONSISTENT
|
9
|
633.985000
|
-36.203347
|
-51.393980
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
10
|
704.427778
|
9.611897
|
13.644971
|
CONSISTENT
|
10
|
704.427778
|
9.611897
|
13.644971
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
11
|
774.870556
|
23.749418
|
33.714482
|
INCONSISTENT
|
12
|
845.313334
|
94.192196
|
133.714482
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
11
|
774.870556
|
-7.621480
|
-10.819392
|
CONSISTENT
|
11
|
774.870556
|
-7.621480
|
-10.819392
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
11
|
774.870556
|
-26.039037
|
-36.964807
|
CONSISTENT
|
11
|
774.870556
|
-26.039037
|
-36.964807
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
12
|
845.313334
|
15.060088
|
21.379180
|
CONSISTENT
|
12
|
845.313334
|
15.060088
|
21.379180
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
12
|
845.313334
|
-24.854857
|
-35.283755
|
CONSISTENT
|
12
|
845.313334
|
-24.854857
|
-35.283755
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
13
|
915.756112
|
31.397399
|
44.571494
|
CONSISTENT
|
13
|
915.756112
|
31.397399
|
44.571494
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
13
|
915.756112
|
-2.173289
|
-3.085183
|
CONSISTENT
|
13
|
915.756112
|
-2.173289
|
-3.085183
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
14
|
986.198889
|
2.173289
|
3.085183
|
CONSISTENT
|
14
|
986.198889
|
2.173289
|
3.085183
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
14
|
986.198889
|
-31.397399
|
-44.571494
|
CONSISTENT
|
14
|
986.198889
|
-31.397399
|
-44.571494
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
15
|
1056.641667
|
24.854857
|
35.283755
|
CONSISTENT
|
15
|
1056.641667
|
24.854857
|
35.283755
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
15
|
1056.641667
|
-15.060088
|
-21.379180
|
CONSISTENT
|
15
|
1056.641667
|
-15.060088
|
-21.379180
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
16
|
1127.084445
|
26.039037
|
36.964807
|
CONSISTENT
|
16
|
1127.084445
|
26.039037
|
36.964807
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
16
|
1127.084445
|
7.621480
|
10.819392
|
CONSISTENT
|
16
|
1127.084445
|
7.621480
|
10.819392
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
16
|
1127.084445
|
-23.749418
|
-33.714482
|
INCONSISTENT
|
15
|
1056.641667
|
-94.192196
|
-133.714482
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
17
|
1197.527223
|
-9.611897
|
-13.644971
|
CONSISTENT
|
17
|
1197.527223
|
-9.611897
|
-13.644971
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
17
|
1197.527223
|
-34.239431
|
-48.606020
|
INCONSISTENT
|
18
|
1267.970001
|
36.203347
|
51.393980
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
18
|
1267.970001
|
2.632660
|
3.737303
|
CONSISTENT
|
18
|
1267.970001
|
2.632660
|
3.737303
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
18
|
1267.970001
|
-5.265320
|
-7.474605
|
CONSISTENT
|
18
|
1267.970001
|
-5.265320
|
-7.474605
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
18
|
1267.970001
|
-25.633014
|
-36.388420
|
CONSISTENT
|
18
|
1267.970001
|
-25.633014
|
-36.388420
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
19
|
1338.412778
|
18.969970
|
26.929617
|
CONSISTENT
|
19
|
1338.412778
|
18.969970
|
26.929617
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
19
|
1338.412778
|
4.779448
|
6.784865
|
INCONSISTENT
|
20
|
1408.855556
|
75.222225
|
106.784865
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
19
|
1338.412778
|
-26.591450
|
-37.749008
|
CONSISTENT
|
19
|
1338.412778
|
-26.591450
|
-37.749008
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
21
|
1479.298334
|
26.617951
|
37.786629
|
INCONSISTENT
|
20
|
1408.855556
|
-43.824827
|
-62.213371
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
21
|
1479.298334
|
12.427428
|
17.641877
|
CONSISTENT
|
21
|
1479.298334
|
12.427428
|
17.641877
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
22
|
1549.741112
|
28.764739
|
40.834191
|
CONSISTENT
|
22
|
1549.741112
|
28.764739
|
40.834191
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
22
|
1549.741112
|
-4.805948
|
-6.822486
|
CONSISTENT
|
22
|
1549.741112
|
-4.805948
|
-6.822486
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
23
|
1620.183890
|
20.075409
|
28.498889
|
INCONSISTENT
|
22
|
1549.741112
|
-50.367369
|
-71.501111
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
23
|
1620.183890
|
7.438608
|
10.559788
|
CONSISTENT
|
23
|
1620.183890
|
7.438608
|
10.559788
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
23
|
1620.183890
|
-4.180456
|
-5.934542
|
CONSISTENT
|
23
|
1620.183890
|
-4.180456
|
-5.934542
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
23
|
1620.183890
|
-34.030058
|
-48.308797
|
CONSISTENT
|
23
|
1620.183890
|
-34.030058
|
-48.308797
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
24
|
1690.626667
|
27.842236
|
39.524615
|
CONSISTENT
|
24
|
1690.626667
|
27.842236
|
39.524615
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
24
|
1690.626667
|
-9.794769
|
-13.904575
|
CONSISTENT
|
24
|
1690.626667
|
-9.794769
|
-13.904575
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
25
|
1761.069445
|
6.542542
|
9.287740
|
CONSISTENT
|
25
|
1761.069445
|
6.542542
|
9.287740
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
25
|
1761.069445
|
-7.647981
|
-10.857012
|
INCONSISTENT
|
26
|
1831.512223
|
62.794797
|
89.142988
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
25
|
1761.069445
|
-17.173364
|
-24.379169
|
CONSISTENT
|
25
|
1761.069445
|
-17.173364
|
-24.379169
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
26
|
1831.512223
|
17.233377
|
24.464363
|
CONSISTENT
|
26
|
1831.512223
|
17.233377
|
24.464363
|
31
|
3/1
|
1901.955001
|
cP5
|
27
|
1901.955001
|
0
|
0
|
CONSISTENT
|
27
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales