User:Contribution/JI intervals approximated by 89edt
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89edt divides the tritave in 89 equal steps and the octave in 56.152748 equal steps of 21.370281 cents each. Its 31-limit patent val is <56 89 130 158 194 208 230 239 254 273 278|.
| 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
|
21.370281
|
7.179758
|
33.596931
|
CONSISTENT
|
1
|
21.370281
|
7.179758
|
33.596931
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
85.481124
|
-2.195031
|
-10.271419
|
CONSISTENT
|
4
|
85.481124
|
-2.195031
|
-10.271419
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
128.221685
|
4.509494
|
21.101706
|
CONSISTENT
|
6
|
128.221685
|
4.509494
|
21.101706
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
128.221685
|
-5.015889
|
-23.471331
|
INCONSISTENT
|
7
|
149.591966
|
16.354391
|
76.528669
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
149.591966
|
2.163869
|
10.125599
|
INCONSISTENT
|
8
|
170.962247
|
23.534150
|
110.125599
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
192.332528
|
-9.201037
|
-43.055291
|
INCONSISTENT
|
10
|
213.702809
|
12.169244
|
56.944709
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
235.073090
|
-4.097480
|
-19.173730
|
CONSISTENT
|
11
|
235.073090
|
-4.097480
|
-19.173730
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
12
|
256.443371
|
8.702318
|
40.721589
|
INCONSISTENT
|
11
|
235.073090
|
-12.667963
|
-59.278411
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
13
|
277.813652
|
0.222996
|
1.043489
|
CONSISTENT
|
13
|
277.813652
|
0.222996
|
1.043489
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
14
|
299.183933
|
9.974213
|
46.673291
|
CONSISTENT
|
14
|
299.183933
|
9.974213
|
46.673291
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
14
|
299.183933
|
-2.662588
|
-12.459301
|
INCONSISTENT
|
13
|
277.813652
|
-24.032869
|
-112.459301
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
16
|
341.924495
|
-5.483446
|
-25.659214
|
CONSISTENT
|
16
|
341.924495
|
-5.483446
|
-25.659214
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
18
|
384.665056
|
3.686429
|
17.250258
|
CONSISTENT
|
18
|
384.665056
|
3.686429
|
17.250258
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
20
|
427.405618
|
-7.678477
|
-35.930632
|
CONSISTENT
|
20
|
427.405618
|
-7.678477
|
-35.930632
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
21
|
448.775899
|
-0.498719
|
-2.333702
|
CONSISTENT
|
21
|
448.775899
|
-0.498719
|
-2.333702
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
25
|
534.257023
|
-2.693750
|
-12.605120
|
CONSISTENT
|
25
|
534.257023
|
-2.693750
|
-12.605120
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
27
|
576.997585
|
8.675914
|
40.598036
|
CONSISTENT
|
27
|
576.997585
|
8.675914
|
40.598036
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
27
|
576.997585
|
-5.514608
|
-25.805033
|
INCONSISTENT
|
28
|
598.367865
|
15.855673
|
74.194967
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
28
|
598.367865
|
1.665150
|
7.791897
|
INCONSISTENT
|
29
|
619.738146
|
23.035431
|
107.791897
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
28
|
598.367865
|
-9.984121
|
-46.719653
|
CONSISTENT
|
28
|
598.367865
|
-9.984121
|
-46.719653
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
29
|
619.738146
|
-8.981534
|
-42.028153
|
CONSISTENT
|
29
|
619.738146
|
-8.981534
|
-42.028153
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
30
|
641.108427
|
4.490767
|
21.014077
|
CONSISTENT
|
30
|
641.108427
|
4.490767
|
21.014077
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
31
|
662.478708
|
-7.709639
|
-36.076452
|
INCONSISTENT
|
32
|
683.848989
|
13.660642
|
63.923548
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
33
|
705.219270
|
10.403389
|
48.681572
|
INCONSISTENT
|
32
|
683.848989
|
-10.966892
|
-51.318428
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
35
|
747.959832
|
-3.161306
|
-14.793003
|
INCONSISTENT
|
34
|
726.589551
|
-24.531587
|
-114.793003
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
37
|
790.700394
|
8.208358
|
38.410154
|
INCONSISTENT
|
36
|
769.330113
|
-13.161923
|
-61.589846
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
37
|
790.700394
|
-10.209199
|
-47.772884
|
CONSISTENT
|
37
|
790.700394
|
-10.209199
|
-47.772884
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
39
|
833.440955
|
3.187710
|
14.916556
|
CONSISTENT
|
39
|
833.440955
|
3.187710
|
14.916556
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
41
|
876.181517
|
6.013327
|
28.138735
|
INCONSISTENT
|
40
|
854.811236
|
-15.356954
|
-71.861265
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
41
|
876.181517
|
-8.177196
|
-38.264334
|
CONSISTENT
|
41
|
876.181517
|
-8.177196
|
-38.264334
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
43
|
918.922079
|
0.992679
|
4.645137
|
CONSISTENT
|
43
|
918.922079
|
0.992679
|
4.645137
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
46
|
983.032922
|
-0.992679
|
-4.645137
|
CONSISTENT
|
46
|
983.032922
|
-0.992679
|
-4.645137
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
48
|
1025.773484
|
8.177196
|
38.264334
|
CONSISTENT
|
48
|
1025.773484
|
8.177196
|
38.264334
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
48
|
1025.773484
|
-6.013327
|
-28.138735
|
INCONSISTENT
|
49
|
1047.143765
|
15.356954
|
71.861265
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
50
|
1068.514045
|
-3.187710
|
-14.916556
|
CONSISTENT
|
50
|
1068.514045
|
-3.187710
|
-14.916556
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
52
|
1111.254607
|
10.209199
|
47.772884
|
CONSISTENT
|
52
|
1111.254607
|
10.209199
|
47.772884
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
52
|
1111.254607
|
-8.208358
|
-38.410154
|
INCONSISTENT
|
53
|
1132.624888
|
13.161923
|
61.589846
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
54
|
1153.995169
|
3.161306
|
14.793003
|
INCONSISTENT
|
55
|
1175.365450
|
24.531587
|
114.793003
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
56
|
1196.735731
|
-10.403389
|
-48.681572
|
INCONSISTENT
|
57
|
1218.106012
|
10.966892
|
51.318428
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
58
|
1239.476293
|
7.709639
|
36.076452
|
INCONSISTENT
|
57
|
1218.106012
|
-13.660642
|
-63.923548
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
59
|
1260.846574
|
-4.490767
|
-21.014077
|
CONSISTENT
|
59
|
1260.846574
|
-4.490767
|
-21.014077
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
60
|
1282.216855
|
8.981534
|
42.028153
|
CONSISTENT
|
60
|
1282.216855
|
8.981534
|
42.028153
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
61
|
1303.587135
|
9.984121
|
46.719653
|
CONSISTENT
|
61
|
1303.587135
|
9.984121
|
46.719653
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
62
|
1324.957416
|
5.514608
|
25.805033
|
INCONSISTENT
|
61
|
1303.587135
|
-15.855673
|
-74.194967
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
62
|
1324.957416
|
-8.675914
|
-40.598036
|
CONSISTENT
|
62
|
1324.957416
|
-8.675914
|
-40.598036
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
64
|
1367.697978
|
2.693750
|
12.605120
|
CONSISTENT
|
64
|
1367.697978
|
2.693750
|
12.605120
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
68
|
1453.179102
|
0.498719
|
2.333702
|
CONSISTENT
|
68
|
1453.179102
|
0.498719
|
2.333702
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
69
|
1474.549383
|
7.678477
|
35.930632
|
CONSISTENT
|
69
|
1474.549383
|
7.678477
|
35.930632
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
71
|
1517.289945
|
-3.686429
|
-17.250258
|
CONSISTENT
|
71
|
1517.289945
|
-3.686429
|
-17.250258
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
73
|
1560.030506
|
5.483446
|
25.659214
|
CONSISTENT
|
73
|
1560.030506
|
5.483446
|
25.659214
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
75
|
1602.771068
|
2.662588
|
12.459301
|
INCONSISTENT
|
76
|
1624.141349
|
24.032869
|
112.459301
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
75
|
1602.771068
|
-9.974213
|
-46.673291
|
CONSISTENT
|
75
|
1602.771068
|
-9.974213
|
-46.673291
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
76
|
1624.141349
|
-0.222996
|
-1.043489
|
CONSISTENT
|
76
|
1624.141349
|
-0.222996
|
-1.043489
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
77
|
1645.511630
|
-8.702318
|
-40.721589
|
INCONSISTENT
|
78
|
1666.881911
|
12.667963
|
59.278411
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
78
|
1666.881911
|
4.097480
|
19.173730
|
CONSISTENT
|
78
|
1666.881911
|
4.097480
|
19.173730
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
80
|
1709.622473
|
9.201037
|
43.055291
|
INCONSISTENT
|
79
|
1688.252192
|
-12.169244
|
-56.944709
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
82
|
1752.363035
|
-2.163869
|
-10.125599
|
INCONSISTENT
|
81
|
1730.992754
|
-23.534150
|
-110.125599
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
83
|
1773.733315
|
5.015889
|
23.471331
|
INCONSISTENT
|
82
|
1752.363035
|
-16.354391
|
-76.528669
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
83
|
1773.733315
|
-4.509494
|
-21.101706
|
CONSISTENT
|
83
|
1773.733315
|
-4.509494
|
-21.101706
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
85
|
1816.473877
|
2.195031
|
10.271419
|
CONSISTENT
|
85
|
1816.473877
|
2.195031
|
10.271419
|
31
|
3/1
|
1901.955001
|
cP5
|
89
|
1901.955001
|
0
|
0
|
CONSISTENT
|
89
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales