User:Contribution/JI intervals approximated by 86edt
Jump to navigation
Jump to search
86edt divides the tritave in 86 equal steps and the octave in 54.259959 equal steps of 22.115756 cents each. Its 31-limit patent val is <54 86 126 152 188 201 222 230 245 264 269|.
| 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
|
1
|
22.115756
|
7.925233
|
35.835236
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-64.164764
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
88.463023
|
0.786869
|
3.557955
|
CONSISTENT
|
4
|
88.463023
|
0.786869
|
3.557955
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
132.694535
|
8.982343
|
40.615132
|
CONSISTENT
|
6
|
132.694535
|
8.982343
|
40.615132
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
132.694535
|
-0.543040
|
-2.455444
|
CONSISTENT
|
6
|
132.694535
|
-0.543040
|
-2.455444
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
154.810291
|
7.382193
|
33.379793
|
INCONSISTENT
|
6
|
132.694535
|
-14.733562
|
-66.620207
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
199.041802
|
-2.491762
|
-11.266910
|
CONSISTENT
|
9
|
199.041802
|
-2.491762
|
-11.266910
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
243.273314
|
4.102744
|
18.551228
|
CONSISTENT
|
11
|
243.273314
|
4.102744
|
18.551228
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
243.273314
|
-4.467739
|
-20.201611
|
CONSISTENT
|
11
|
243.273314
|
-4.467739
|
-20.201611
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
13
|
287.504826
|
9.914170
|
44.828540
|
CONSISTENT
|
13
|
287.504826
|
9.914170
|
44.828540
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
13
|
287.504826
|
-1.704894
|
-7.708955
|
CONSISTENT
|
13
|
287.504826
|
-1.704894
|
-7.708955
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
14
|
309.620582
|
7.774061
|
35.151686
|
CONSISTENT
|
14
|
309.620582
|
7.774061
|
35.151686
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
16
|
353.852093
|
6.444153
|
29.138288
|
CONSISTENT
|
16
|
353.852093
|
6.444153
|
29.138288
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
17
|
375.967849
|
-5.010779
|
-22.657054
|
CONSISTENT
|
17
|
375.967849
|
-5.010779
|
-22.657054
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
20
|
442.315116
|
7.231021
|
32.696243
|
CONSISTENT
|
20
|
442.315116
|
7.231021
|
32.696243
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
20
|
442.315116
|
-6.959501
|
-31.468521
|
CONSISTENT
|
20
|
442.315116
|
-6.959501
|
-31.468521
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
24
|
530.778140
|
-6.172633
|
-27.910566
|
CONSISTENT
|
24
|
530.778140
|
-6.172633
|
-27.910566
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
26
|
575.009651
|
6.687981
|
30.240799
|
CONSISTENT
|
26
|
575.009651
|
6.687981
|
30.240799
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
26
|
575.009651
|
-7.502541
|
-33.923965
|
CONSISTENT
|
26
|
575.009651
|
-7.502541
|
-33.923965
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
27
|
597.125407
|
0.422692
|
1.911272
|
INCONSISTENT
|
26
|
575.009651
|
-21.693064
|
-98.088728
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
28
|
619.241163
|
10.889177
|
49.237190
|
CONSISTENT
|
28
|
619.241163
|
10.889177
|
49.237190
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
28
|
619.241163
|
-9.478518
|
-42.858665
|
CONSISTENT
|
28
|
619.241163
|
-9.478518
|
-42.858665
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
29
|
641.356919
|
4.739259
|
21.429333
|
CONSISTENT
|
29
|
641.356919
|
4.739259
|
21.429333
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
30
|
663.472675
|
-6.715673
|
-30.366009
|
CONSISTENT
|
30
|
663.472675
|
-6.715673
|
-30.366009
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
31
|
685.588431
|
-9.227451
|
-41.723425
|
INCONSISTENT
|
32
|
707.704186
|
12.888305
|
58.276575
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
34
|
751.935698
|
0.814560
|
3.683165
|
CONSISTENT
|
34
|
751.935698
|
0.814560
|
3.683165
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
35
|
774.051454
|
-8.440582
|
-38.165470
|
INCONSISTENT
|
36
|
796.167210
|
13.675174
|
61.834530
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
36
|
796.167210
|
-4.742383
|
-21.443461
|
CONSISTENT
|
36
|
796.167210
|
-4.742383
|
-21.443461
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
38
|
840.398721
|
10.145476
|
45.874425
|
INCONSISTENT
|
37
|
818.282965
|
-11.970280
|
-54.125575
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
39
|
862.514477
|
-7.653713
|
-34.607514
|
INCONSISTENT
|
40
|
884.630233
|
14.462042
|
65.392486
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
40
|
884.630233
|
0.271520
|
1.227722
|
CONSISTENT
|
40
|
884.630233
|
0.271520
|
1.227722
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
42
|
928.861745
|
10.932344
|
49.432380
|
INCONSISTENT
|
41
|
906.745989
|
-11.183411
|
-50.567620
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
44
|
973.093256
|
-10.932344
|
-49.432380
|
INCONSISTENT
|
45
|
995.209012
|
11.183411
|
50.567620
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
46
|
1017.324768
|
-0.271520
|
-1.227722
|
CONSISTENT
|
46
|
1017.324768
|
-0.271520
|
-1.227722
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
47
|
1039.440524
|
7.653713
|
34.607514
|
INCONSISTENT
|
46
|
1017.324768
|
-14.462042
|
-65.392486
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
48
|
1061.556280
|
-10.145476
|
-45.874425
|
INCONSISTENT
|
49
|
1083.672035
|
11.970280
|
54.125575
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
50
|
1105.787791
|
4.742383
|
21.443461
|
CONSISTENT
|
50
|
1105.787791
|
4.742383
|
21.443461
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
51
|
1127.903547
|
8.440582
|
38.165470
|
INCONSISTENT
|
50
|
1105.787791
|
-13.675174
|
-61.834530
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
52
|
1150.019303
|
-0.814560
|
-3.683165
|
CONSISTENT
|
52
|
1150.019303
|
-0.814560
|
-3.683165
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
55
|
1216.366570
|
9.227451
|
41.723425
|
INCONSISTENT
|
54
|
1194.250814
|
-12.888305
|
-58.276575
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
56
|
1238.482326
|
6.715673
|
30.366009
|
CONSISTENT
|
56
|
1238.482326
|
6.715673
|
30.366009
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
57
|
1260.598082
|
-4.739259
|
-21.429333
|
CONSISTENT
|
57
|
1260.598082
|
-4.739259
|
-21.429333
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
58
|
1282.713838
|
9.478518
|
42.858665
|
CONSISTENT
|
58
|
1282.713838
|
9.478518
|
42.858665
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
58
|
1282.713838
|
-10.889177
|
-49.237190
|
CONSISTENT
|
58
|
1282.713838
|
-10.889177
|
-49.237190
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
60
|
1326.945349
|
7.502541
|
33.923965
|
CONSISTENT
|
60
|
1326.945349
|
7.502541
|
33.923965
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
60
|
1326.945349
|
-6.687981
|
-30.240799
|
CONSISTENT
|
60
|
1326.945349
|
-6.687981
|
-30.240799
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
62
|
1371.176861
|
6.172633
|
27.910566
|
CONSISTENT
|
62
|
1371.176861
|
6.172633
|
27.910566
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
66
|
1459.639884
|
6.959501
|
31.468521
|
CONSISTENT
|
66
|
1459.639884
|
6.959501
|
31.468521
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
66
|
1459.639884
|
-7.231021
|
-32.696243
|
CONSISTENT
|
66
|
1459.639884
|
-7.231021
|
-32.696243
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
69
|
1525.987152
|
5.010779
|
22.657054
|
CONSISTENT
|
69
|
1525.987152
|
5.010779
|
22.657054
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
70
|
1548.102908
|
-6.444153
|
-29.138288
|
CONSISTENT
|
70
|
1548.102908
|
-6.444153
|
-29.138288
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
72
|
1592.334419
|
-7.774061
|
-35.151686
|
CONSISTENT
|
72
|
1592.334419
|
-7.774061
|
-35.151686
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
73
|
1614.450175
|
1.704894
|
7.708955
|
CONSISTENT
|
73
|
1614.450175
|
1.704894
|
7.708955
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
73
|
1614.450175
|
-9.914170
|
-44.828540
|
CONSISTENT
|
73
|
1614.450175
|
-9.914170
|
-44.828540
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
75
|
1658.681687
|
4.467739
|
20.201611
|
CONSISTENT
|
75
|
1658.681687
|
4.467739
|
20.201611
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
75
|
1658.681687
|
-4.102744
|
-18.551228
|
CONSISTENT
|
75
|
1658.681687
|
-4.102744
|
-18.551228
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
77
|
1702.913198
|
2.491762
|
11.266910
|
CONSISTENT
|
77
|
1702.913198
|
2.491762
|
11.266910
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
79
|
1747.144710
|
-7.382193
|
-33.379793
|
INCONSISTENT
|
80
|
1769.260466
|
14.733562
|
66.620207
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
80
|
1769.260466
|
0.543040
|
2.455444
|
CONSISTENT
|
80
|
1769.260466
|
0.543040
|
2.455444
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
80
|
1769.260466
|
-8.982343
|
-40.615132
|
CONSISTENT
|
80
|
1769.260466
|
-8.982343
|
-40.615132
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
82
|
1813.491978
|
-0.786869
|
-3.557955
|
CONSISTENT
|
82
|
1813.491978
|
-0.786869
|
-3.557955
|
31
|
3/1
|
1901.955001
|
cP5
|
86
|
1901.955001
|
0
|
0
|
CONSISTENT
|
86
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales