User:Contribution/JI intervals approximated by 32edt
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32edt divides the tritave in 32 equal steps and the octave in 20.189752 equal steps of 59.436094 cents each. Its 31-limit patent val is <20 32 47 57 70 75 83 86 91 98 100|.
| 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
|
-23.875261
|
INCONSISTENT
|
1
|
59.436094
|
45.245571
|
76.124739
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
59.436094
|
-28.240061
|
-47.513319
|
CONSISTENT
|
1
|
59.436094
|
-28.240061
|
-47.513319
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
118.872188
|
-4.840004
|
-8.143207
|
CONSISTENT
|
2
|
118.872188
|
-4.840004
|
-8.143207
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
118.872188
|
-14.365387
|
-24.169467
|
CONSISTENT
|
2
|
118.872188
|
-14.365387
|
-24.169467
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
2
|
118.872188
|
-28.555910
|
-48.044728
|
INCONSISTENT
|
3
|
178.308281
|
30.880184
|
51.955272
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
3
|
178.308281
|
-23.225283
|
-39.076060
|
INCONSISTENT
|
4
|
237.744375
|
36.210810
|
60.923940
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
4
|
237.744375
|
-1.426195
|
-2.399543
|
CONSISTENT
|
4
|
237.744375
|
-1.426195
|
-2.399543
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
4
|
237.744375
|
-9.996678
|
-16.819204
|
CONSISTENT
|
4
|
237.744375
|
-9.996678
|
-16.819204
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
5
|
297.180469
|
19.589814
|
32.959457
|
CONSISTENT
|
5
|
297.180469
|
19.589814
|
32.959457
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
5
|
297.180469
|
7.970749
|
13.410621
|
CONSISTENT
|
5
|
297.180469
|
7.970749
|
13.410621
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
5
|
297.180469
|
-4.666052
|
-7.850535
|
CONSISTENT
|
5
|
297.180469
|
-4.666052
|
-7.850535
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
6
|
356.616563
|
9.208622
|
15.493316
|
CONSISTENT
|
6
|
356.616563
|
9.208622
|
15.493316
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
6
|
356.616563
|
-24.362065
|
-40.988671
|
CONSISTENT
|
6
|
356.616563
|
-24.362065
|
-40.988671
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
7
|
416.052656
|
-19.031439
|
-32.020003
|
CONSISTENT
|
7
|
416.052656
|
-19.031439
|
-32.020003
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
8
|
475.488750
|
26.214132
|
44.104736
|
CONSISTENT
|
8
|
475.488750
|
26.214132
|
44.104736
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
9
|
534.924844
|
-2.025928
|
-3.408583
|
CONSISTENT
|
9
|
534.924844
|
-2.025928
|
-3.408583
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
10
|
594.360938
|
26.039268
|
43.810530
|
INCONSISTENT
|
9
|
534.924844
|
-33.396826
|
-56.189470
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
10
|
594.360938
|
11.848745
|
19.935269
|
CONSISTENT
|
10
|
594.360938
|
11.848745
|
19.935269
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
10
|
594.360938
|
-2.341777
|
-3.939992
|
INCONSISTENT
|
11
|
653.797032
|
57.094316
|
96.060008
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
10
|
594.360938
|
-13.991049
|
-23.539650
|
CONSISTENT
|
10
|
594.360938
|
-13.991049
|
-23.539650
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
11
|
653.797032
|
25.077351
|
42.192125
|
INCONSISTENT
|
10
|
594.360938
|
-34.358743
|
-57.807875
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
11
|
653.797032
|
17.179372
|
28.903938
|
CONSISTENT
|
11
|
653.797032
|
17.179372
|
28.903938
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
11
|
653.797032
|
-16.391316
|
-27.578050
|
CONSISTENT
|
11
|
653.797032
|
-16.391316
|
-27.578050
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
12
|
713.233125
|
18.417244
|
30.986633
|
CONSISTENT
|
12
|
713.233125
|
18.417244
|
30.986633
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
13
|
772.669219
|
21.548081
|
36.254201
|
CONSISTENT
|
13
|
772.669219
|
21.548081
|
36.254201
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
13
|
772.669219
|
-9.822817
|
-16.526686
|
CONSISTENT
|
13
|
772.669219
|
-9.822817
|
-16.526686
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
13
|
772.669219
|
-28.240374
|
-47.513846
|
CONSISTENT
|
13
|
772.669219
|
-28.240374
|
-47.513846
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
14
|
832.105313
|
1.852067
|
3.116065
|
CONSISTENT
|
14
|
832.105313
|
1.852067
|
3.116065
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
15
|
891.541407
|
21.373216
|
35.959995
|
INCONSISTENT
|
14
|
832.105313
|
-38.062878
|
-64.040005
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
15
|
891.541407
|
7.182694
|
12.084734
|
CONSISTENT
|
15
|
891.541407
|
7.182694
|
12.084734
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
15
|
891.541407
|
-26.387994
|
-44.397254
|
CONSISTENT
|
15
|
891.541407
|
-26.387994
|
-44.397254
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
17
|
1010.413594
|
26.387994
|
44.397254
|
CONSISTENT
|
17
|
1010.413594
|
26.387994
|
44.397254
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
17
|
1010.413594
|
-7.182694
|
-12.084734
|
CONSISTENT
|
17
|
1010.413594
|
-7.182694
|
-12.084734
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
17
|
1010.413594
|
-21.373216
|
-35.959995
|
INCONSISTENT
|
18
|
1069.849688
|
38.062878
|
64.040005
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
18
|
1069.849688
|
-1.852067
|
-3.116065
|
CONSISTENT
|
18
|
1069.849688
|
-1.852067
|
-3.116065
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
19
|
1129.285782
|
28.240374
|
47.513846
|
CONSISTENT
|
19
|
1129.285782
|
28.240374
|
47.513846
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
19
|
1129.285782
|
9.822817
|
16.526686
|
CONSISTENT
|
19
|
1129.285782
|
9.822817
|
16.526686
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
19
|
1129.285782
|
-21.548081
|
-36.254201
|
CONSISTENT
|
19
|
1129.285782
|
-21.548081
|
-36.254201
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
20
|
1188.721876
|
-18.417244
|
-30.986633
|
CONSISTENT
|
20
|
1188.721876
|
-18.417244
|
-30.986633
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
21
|
1248.157969
|
16.391316
|
27.578050
|
CONSISTENT
|
21
|
1248.157969
|
16.391316
|
27.578050
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
21
|
1248.157969
|
-17.179372
|
-28.903938
|
CONSISTENT
|
21
|
1248.157969
|
-17.179372
|
-28.903938
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
21
|
1248.157969
|
-25.077351
|
-42.192125
|
INCONSISTENT
|
22
|
1307.594063
|
34.358743
|
57.807875
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
22
|
1307.594063
|
13.991049
|
23.539650
|
CONSISTENT
|
22
|
1307.594063
|
13.991049
|
23.539650
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
22
|
1307.594063
|
-11.848745
|
-19.935269
|
CONSISTENT
|
22
|
1307.594063
|
-11.848745
|
-19.935269
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
22
|
1307.594063
|
-26.039268
|
-43.810530
|
INCONSISTENT
|
23
|
1367.030157
|
33.396826
|
56.189470
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
23
|
1367.030157
|
2.025928
|
3.408583
|
CONSISTENT
|
23
|
1367.030157
|
2.025928
|
3.408583
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
24
|
1426.466251
|
-26.214132
|
-44.104736
|
CONSISTENT
|
24
|
1426.466251
|
-26.214132
|
-44.104736
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
25
|
1485.902344
|
19.031439
|
32.020003
|
CONSISTENT
|
25
|
1485.902344
|
19.031439
|
32.020003
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
26
|
1545.338438
|
24.362065
|
40.988671
|
CONSISTENT
|
26
|
1545.338438
|
24.362065
|
40.988671
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
26
|
1545.338438
|
-9.208622
|
-15.493316
|
CONSISTENT
|
26
|
1545.338438
|
-9.208622
|
-15.493316
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
27
|
1604.774532
|
4.666052
|
7.850535
|
CONSISTENT
|
27
|
1604.774532
|
4.666052
|
7.850535
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
27
|
1604.774532
|
-7.970749
|
-13.410621
|
CONSISTENT
|
27
|
1604.774532
|
-7.970749
|
-13.410621
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
27
|
1604.774532
|
-19.589814
|
-32.959457
|
CONSISTENT
|
27
|
1604.774532
|
-19.589814
|
-32.959457
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
28
|
1664.210626
|
9.996678
|
16.819204
|
CONSISTENT
|
28
|
1664.210626
|
9.996678
|
16.819204
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
28
|
1664.210626
|
1.426195
|
2.399543
|
CONSISTENT
|
28
|
1664.210626
|
1.426195
|
2.399543
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
29
|
1723.646720
|
23.225283
|
39.076060
|
INCONSISTENT
|
28
|
1664.210626
|
-36.210810
|
-60.923940
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
30
|
1783.082813
|
28.555910
|
48.044728
|
INCONSISTENT
|
29
|
1723.646720
|
-30.880184
|
-51.955272
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
30
|
1783.082813
|
14.365387
|
24.169467
|
CONSISTENT
|
30
|
1783.082813
|
14.365387
|
24.169467
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
30
|
1783.082813
|
4.840004
|
8.143207
|
CONSISTENT
|
30
|
1783.082813
|
4.840004
|
8.143207
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
31
|
1842.518907
|
28.240061
|
47.513319
|
CONSISTENT
|
31
|
1842.518907
|
28.240061
|
47.513319
|
31
|
3/1
|
1901.955001
|
cP5
|
32
|
1901.955001
|
0
|
0
|
CONSISTENT
|
32
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales