User:Contribution/JI intervals approximated by 59edt
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59edt divides the tritave in 59 equal steps and the octave in 37.224855 equal steps of 32.236525 cents each. Its 31-limit patent val is <37 59 86 105 129 138 152 158 168 181 184|.
| 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
|
-44.020012
|
INCONSISTENT
|
1
|
32.236525
|
18.046003
|
55.979988
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
96.709576
|
9.033422
|
28.022318
|
INCONSISTENT
|
2
|
64.473051
|
-23.203104
|
-71.977682
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
128.946102
|
5.233910
|
16.235963
|
CONSISTENT
|
4
|
128.946102
|
5.233910
|
16.235963
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
128.946102
|
-4.291473
|
-13.312456
|
INCONSISTENT
|
5
|
161.182627
|
27.945052
|
86.687544
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
161.182627
|
13.754530
|
42.667532
|
INCONSISTENT
|
6
|
193.419153
|
45.991055
|
142.667532
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
193.419153
|
-8.114412
|
-25.171485
|
INCONSISTENT
|
7
|
225.655678
|
24.122113
|
74.828515
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
225.655678
|
-13.514892
|
-41.924158
|
CONSISTENT
|
7
|
225.655678
|
-13.514892
|
-41.924158
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
8
|
257.892204
|
10.151151
|
31.489593
|
INCONSISTENT
|
7
|
225.655678
|
-22.085375
|
-68.510407
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
9
|
290.128729
|
12.538074
|
38.893998
|
CONSISTENT
|
9
|
290.128729
|
12.538074
|
38.893998
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
9
|
290.128729
|
0.919010
|
2.850833
|
CONSISTENT
|
9
|
290.128729
|
0.919010
|
2.850833
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
9
|
290.128729
|
-11.717791
|
-36.349424
|
INCONSISTENT
|
8
|
257.892204
|
-43.954317
|
-136.349424
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
11
|
354.601780
|
7.193839
|
22.315802
|
CONSISTENT
|
11
|
354.601780
|
7.193839
|
22.315802
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
12
|
386.838305
|
5.859677
|
18.177137
|
CONSISTENT
|
12
|
386.838305
|
5.859677
|
18.177137
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
13
|
419.074831
|
-16.009265
|
-49.661880
|
CONSISTENT
|
13
|
419.074831
|
-16.009265
|
-49.661880
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
14
|
451.311356
|
2.036738
|
6.318108
|
CONSISTENT
|
14
|
451.311356
|
2.036738
|
6.318108
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
17
|
548.020932
|
11.070160
|
34.340426
|
INCONSISTENT
|
16
|
515.784407
|
-21.166365
|
-65.659574
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
18
|
580.257458
|
11.935788
|
37.025665
|
CONSISTENT
|
18
|
580.257458
|
11.935788
|
37.025665
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
18
|
580.257458
|
-2.254735
|
-6.994348
|
INCONSISTENT
|
19
|
612.493983
|
29.981791
|
93.005652
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
19
|
612.493983
|
15.791268
|
48.985640
|
INCONSISTENT
|
20
|
644.730509
|
48.027794
|
148.985640
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
19
|
612.493983
|
4.141997
|
12.848770
|
CONSISTENT
|
19
|
612.493983
|
4.141997
|
12.848770
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
20
|
644.730509
|
16.010828
|
49.666730
|
INCONSISTENT
|
19
|
612.493983
|
-16.225697
|
-50.333270
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
20
|
644.730509
|
8.112849
|
25.166635
|
CONSISTENT
|
20
|
644.730509
|
8.112849
|
25.166635
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
21
|
676.967034
|
6.778687
|
21.027970
|
CONSISTENT
|
21
|
676.967034
|
6.778687
|
21.027970
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
22
|
709.203560
|
14.387678
|
44.631604
|
CONSISTENT
|
22
|
709.203560
|
14.387678
|
44.631604
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
23
|
741.440085
|
-9.681053
|
-30.031317
|
INCONSISTENT
|
22
|
709.203560
|
-41.917578
|
-130.031317
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
24
|
773.676611
|
-8.815425
|
-27.346078
|
CONSISTENT
|
24
|
773.676611
|
-8.815425
|
-27.346078
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
25
|
805.913136
|
5.003543
|
15.521347
|
CONSISTENT
|
25
|
805.913136
|
5.003543
|
15.521347
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
26
|
838.149661
|
7.896416
|
24.495245
|
CONSISTENT
|
26
|
838.149661
|
7.896416
|
24.495245
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
27
|
870.386187
|
0.217996
|
0.676240
|
INCONSISTENT
|
26
|
838.149661
|
-32.018529
|
-99.323760
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
27
|
870.386187
|
-13.972526
|
-43.343772
|
CONSISTENT
|
27
|
870.386187
|
-13.972526
|
-43.343772
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
28
|
902.622712
|
-15.306688
|
-47.482437
|
CONSISTENT
|
28
|
902.622712
|
-15.306688
|
-47.482437
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
31
|
999.332289
|
15.306688
|
47.482437
|
CONSISTENT
|
31
|
999.332289
|
15.306688
|
47.482437
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
32
|
1031.568814
|
13.972526
|
43.343772
|
CONSISTENT
|
32
|
1031.568814
|
13.972526
|
43.343772
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
32
|
1031.568814
|
-0.217996
|
-0.676240
|
INCONSISTENT
|
33
|
1063.805339
|
32.018529
|
99.323760
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
33
|
1063.805339
|
-7.896416
|
-24.495245
|
CONSISTENT
|
33
|
1063.805339
|
-7.896416
|
-24.495245
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
34
|
1096.041865
|
-5.003543
|
-15.521347
|
CONSISTENT
|
34
|
1096.041865
|
-5.003543
|
-15.521347
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
35
|
1128.278390
|
8.815425
|
27.346078
|
CONSISTENT
|
35
|
1128.278390
|
8.815425
|
27.346078
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
36
|
1160.514916
|
9.681053
|
30.031317
|
INCONSISTENT
|
37
|
1192.751441
|
41.917578
|
130.031317
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
37
|
1192.751441
|
-14.387678
|
-44.631604
|
CONSISTENT
|
37
|
1192.751441
|
-14.387678
|
-44.631604
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
38
|
1224.987967
|
-6.778687
|
-21.027970
|
CONSISTENT
|
38
|
1224.987967
|
-6.778687
|
-21.027970
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
39
|
1257.224492
|
-8.112849
|
-25.166635
|
CONSISTENT
|
39
|
1257.224492
|
-8.112849
|
-25.166635
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
39
|
1257.224492
|
-16.010828
|
-49.666730
|
INCONSISTENT
|
40
|
1289.461018
|
16.225697
|
50.333270
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
40
|
1289.461018
|
-4.141997
|
-12.848770
|
CONSISTENT
|
40
|
1289.461018
|
-4.141997
|
-12.848770
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
41
|
1321.697543
|
2.254735
|
6.994348
|
INCONSISTENT
|
40
|
1289.461018
|
-29.981791
|
-93.005652
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
41
|
1321.697543
|
-11.935788
|
-37.025665
|
CONSISTENT
|
41
|
1321.697543
|
-11.935788
|
-37.025665
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
42
|
1353.934068
|
-11.070160
|
-34.340426
|
INCONSISTENT
|
43
|
1386.170594
|
21.166365
|
65.659574
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
45
|
1450.643645
|
-2.036738
|
-6.318108
|
CONSISTENT
|
45
|
1450.643645
|
-2.036738
|
-6.318108
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
46
|
1482.880170
|
16.009265
|
49.661880
|
CONSISTENT
|
46
|
1482.880170
|
16.009265
|
49.661880
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
47
|
1515.116696
|
-5.859677
|
-18.177137
|
CONSISTENT
|
47
|
1515.116696
|
-5.859677
|
-18.177137
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
48
|
1547.353221
|
-7.193839
|
-22.315802
|
CONSISTENT
|
48
|
1547.353221
|
-7.193839
|
-22.315802
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
50
|
1611.826272
|
11.717791
|
36.349424
|
INCONSISTENT
|
51
|
1644.062797
|
43.954317
|
136.349424
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
50
|
1611.826272
|
-0.919010
|
-2.850833
|
CONSISTENT
|
50
|
1611.826272
|
-0.919010
|
-2.850833
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
50
|
1611.826272
|
-12.538074
|
-38.893998
|
CONSISTENT
|
50
|
1611.826272
|
-12.538074
|
-38.893998
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
51
|
1644.062797
|
-10.151151
|
-31.489593
|
INCONSISTENT
|
52
|
1676.299323
|
22.085375
|
68.510407
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
52
|
1676.299323
|
13.514892
|
41.924158
|
CONSISTENT
|
52
|
1676.299323
|
13.514892
|
41.924158
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
53
|
1708.535848
|
8.114412
|
25.171485
|
INCONSISTENT
|
52
|
1676.299323
|
-24.122113
|
-74.828515
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
54
|
1740.772374
|
-13.754530
|
-42.667532
|
INCONSISTENT
|
53
|
1708.535848
|
-45.991055
|
-142.667532
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
55
|
1773.008899
|
4.291473
|
13.312456
|
INCONSISTENT
|
54
|
1740.772374
|
-27.945052
|
-86.687544
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
55
|
1773.008899
|
-5.233910
|
-16.235963
|
CONSISTENT
|
55
|
1773.008899
|
-5.233910
|
-16.235963
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
56
|
1805.245425
|
-9.033422
|
-28.022318
|
INCONSISTENT
|
57
|
1837.481950
|
23.203104
|
71.977682
|
31
|
3/1
|
1901.955001
|
cP5
|
59
|
1901.955001
|
0
|
0
|
CONSISTENT
|
59
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales