User:Contribution/JI intervals approximated by 88edt
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88edt divides the tritave in 88 equal steps and the octave in 55.521818 equal steps of 21.613125 cents each. Its 31-limit patent val is <56 88 129 156 192 205 227 236 251 270 275|.
| 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
|
21.613125
|
7.422603
|
34.343032
|
CONSISTENT
|
1
|
21.613125
|
7.422603
|
34.343032
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
86.452500
|
-1.223655
|
-5.661627
|
CONSISTENT
|
4
|
86.452500
|
-1.223655
|
-5.661627
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
129.678750
|
5.966559
|
27.606181
|
CONSISTENT
|
6
|
129.678750
|
5.966559
|
27.606181
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
129.678750
|
-3.558825
|
-16.466035
|
CONSISTENT
|
6
|
129.678750
|
-3.558825
|
-16.466035
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
151.291875
|
3.863778
|
17.876997
|
CONSISTENT
|
7
|
151.291875
|
3.863778
|
17.876997
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
194.518125
|
-7.015440
|
-32.459164
|
CONSISTENT
|
9
|
194.518125
|
-7.015440
|
-32.459164
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
237.744375
|
-1.426195
|
-6.598744
|
CONSISTENT
|
11
|
237.744375
|
-1.426195
|
-6.598744
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
237.744375
|
-9.996678
|
-46.252811
|
INCONSISTENT
|
12
|
259.357500
|
11.616447
|
53.747189
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
13
|
280.970625
|
3.379970
|
15.638506
|
CONSISTENT
|
13
|
280.970625
|
3.379970
|
15.638506
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
13
|
280.970625
|
-8.239094
|
-38.120791
|
CONSISTENT
|
13
|
280.970625
|
-8.239094
|
-38.120791
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
14
|
302.583750
|
0.737230
|
3.411028
|
CONSISTENT
|
14
|
302.583750
|
0.737230
|
3.411028
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
16
|
345.810000
|
-1.597940
|
-7.393380
|
CONSISTENT
|
16
|
345.810000
|
-1.597940
|
-7.393380
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
18
|
389.036250
|
8.057622
|
37.281154
|
CONSISTENT
|
18
|
389.036250
|
8.057622
|
37.281154
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
20
|
432.262500
|
-2.821595
|
-13.055007
|
CONSISTENT
|
20
|
432.262500
|
-2.821595
|
-13.055007
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
21
|
453.875625
|
4.601007
|
21.288025
|
CONSISTENT
|
21
|
453.875625
|
4.601007
|
21.288025
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
25
|
540.328125
|
3.377353
|
15.626398
|
CONSISTENT
|
25
|
540.328125
|
3.377353
|
15.626398
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
26
|
561.941250
|
-6.380420
|
-29.521043
|
CONSISTENT
|
26
|
561.941250
|
-6.380420
|
-29.521043
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
27
|
583.554375
|
1.042183
|
4.821990
|
CONSISTENT
|
27
|
583.554375
|
1.042183
|
4.821990
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
28
|
605.167500
|
8.464785
|
39.165022
|
CONSISTENT
|
28
|
605.167500
|
8.464785
|
39.165022
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
28
|
605.167500
|
-3.184486
|
-14.734039
|
CONSISTENT
|
28
|
605.167500
|
-3.184486
|
-14.734039
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
29
|
626.780625
|
-1.939056
|
-8.971657
|
INCONSISTENT
|
30
|
648.393750
|
19.674070
|
91.028343
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
29
|
626.780625
|
-9.837035
|
-45.514171
|
CONSISTENT
|
29
|
626.780625
|
-9.837035
|
-45.514171
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
31
|
670.006875
|
-0.181472
|
-0.839638
|
CONSISTENT
|
31
|
670.006875
|
-0.181472
|
-0.839638
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
32
|
691.620000
|
-3.195881
|
-14.786760
|
CONSISTENT
|
32
|
691.620000
|
-3.195881
|
-14.786760
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
35
|
756.459375
|
5.338237
|
24.699053
|
CONSISTENT
|
35
|
756.459375
|
5.338237
|
24.699053
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
36
|
778.072500
|
-4.419536
|
-20.448387
|
CONSISTENT
|
36
|
778.072500
|
-4.419536
|
-20.448387
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
37
|
799.685625
|
-1.223968
|
-5.663076
|
CONSISTENT
|
37
|
799.685625
|
-1.223968
|
-5.663076
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
38
|
821.298750
|
-8.954495
|
-41.430821
|
INCONSISTENT
|
39
|
842.911875
|
12.658630
|
58.569179
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
40
|
864.525000
|
-5.643190
|
-26.110015
|
CONSISTENT
|
40
|
864.525000
|
-5.643190
|
-26.110015
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
41
|
886.138125
|
1.779412
|
8.233018
|
CONSISTENT
|
41
|
886.138125
|
1.779412
|
8.233018
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
42
|
907.751250
|
-10.178150
|
-47.092449
|
INCONSISTENT
|
43
|
929.364375
|
11.434975
|
52.907551
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
46
|
994.203750
|
10.178150
|
47.092449
|
INCONSISTENT
|
45
|
972.590625
|
-11.434975
|
-52.907551
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
47
|
1015.816875
|
-1.779412
|
-8.233018
|
CONSISTENT
|
47
|
1015.816875
|
-1.779412
|
-8.233018
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
48
|
1037.430000
|
5.643190
|
26.110015
|
CONSISTENT
|
48
|
1037.430000
|
5.643190
|
26.110015
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
50
|
1080.656250
|
8.954495
|
41.430821
|
INCONSISTENT
|
49
|
1059.043125
|
-12.658630
|
-58.569179
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
51
|
1102.269376
|
1.223968
|
5.663076
|
CONSISTENT
|
51
|
1102.269376
|
1.223968
|
5.663076
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
52
|
1123.882501
|
4.419536
|
20.448387
|
CONSISTENT
|
52
|
1123.882501
|
4.419536
|
20.448387
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
53
|
1145.495626
|
-5.338237
|
-24.699053
|
CONSISTENT
|
53
|
1145.495626
|
-5.338237
|
-24.699053
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
56
|
1210.335001
|
3.195881
|
14.786760
|
CONSISTENT
|
56
|
1210.335001
|
3.195881
|
14.786760
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
57
|
1231.948126
|
0.181472
|
0.839638
|
CONSISTENT
|
57
|
1231.948126
|
0.181472
|
0.839638
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
59
|
1275.174376
|
9.837035
|
45.514171
|
CONSISTENT
|
59
|
1275.174376
|
9.837035
|
45.514171
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
59
|
1275.174376
|
1.939056
|
8.971657
|
INCONSISTENT
|
58
|
1253.561251
|
-19.674070
|
-91.028343
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
60
|
1296.787501
|
3.184486
|
14.734039
|
CONSISTENT
|
60
|
1296.787501
|
3.184486
|
14.734039
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
61
|
1318.400626
|
-1.042183
|
-4.821990
|
CONSISTENT
|
61
|
1318.400626
|
-1.042183
|
-4.821990
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
62
|
1340.013751
|
6.380420
|
29.521043
|
CONSISTENT
|
62
|
1340.013751
|
6.380420
|
29.521043
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
63
|
1361.626876
|
-3.377353
|
-15.626398
|
CONSISTENT
|
63
|
1361.626876
|
-3.377353
|
-15.626398
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
67
|
1448.079376
|
-4.601007
|
-21.288025
|
CONSISTENT
|
67
|
1448.079376
|
-4.601007
|
-21.288025
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
68
|
1469.692501
|
2.821595
|
13.055007
|
CONSISTENT
|
68
|
1469.692501
|
2.821595
|
13.055007
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
70
|
1512.918751
|
-8.057622
|
-37.281154
|
CONSISTENT
|
70
|
1512.918751
|
-8.057622
|
-37.281154
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
72
|
1556.145001
|
1.597940
|
7.393380
|
CONSISTENT
|
72
|
1556.145001
|
1.597940
|
7.393380
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
74
|
1599.371251
|
-0.737230
|
-3.411028
|
CONSISTENT
|
74
|
1599.371251
|
-0.737230
|
-3.411028
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
75
|
1620.984376
|
8.239094
|
38.120791
|
CONSISTENT
|
75
|
1620.984376
|
8.239094
|
38.120791
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
75
|
1620.984376
|
-3.379970
|
-15.638506
|
CONSISTENT
|
75
|
1620.984376
|
-3.379970
|
-15.638506
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
77
|
1664.210626
|
9.996678
|
46.252811
|
INCONSISTENT
|
76
|
1642.597501
|
-11.616447
|
-53.747189
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
77
|
1664.210626
|
1.426195
|
6.598744
|
CONSISTENT
|
77
|
1664.210626
|
1.426195
|
6.598744
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
79
|
1707.436876
|
7.015440
|
32.459164
|
CONSISTENT
|
79
|
1707.436876
|
7.015440
|
32.459164
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
81
|
1750.663126
|
-3.863778
|
-17.876997
|
CONSISTENT
|
81
|
1750.663126
|
-3.863778
|
-17.876997
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
82
|
1772.276251
|
3.558825
|
16.466035
|
CONSISTENT
|
82
|
1772.276251
|
3.558825
|
16.466035
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
82
|
1772.276251
|
-5.966559
|
-27.606181
|
CONSISTENT
|
82
|
1772.276251
|
-5.966559
|
-27.606181
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
84
|
1815.502501
|
1.223655
|
5.661627
|
CONSISTENT
|
84
|
1815.502501
|
1.223655
|
5.661627
|
31
|
3/1
|
1901.955001
|
cP5
|
88
|
1901.955001
|
0
|
0
|
CONSISTENT
|
88
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales