User:Contribution/JI intervals approximated by 58edt
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58edt divides the tritave in 58 equal steps and the octave in 36.593926 equal steps of 32.792328 cents each. Its 31-limit patent val is <37 58 85 103 127 135 150 155 166 178 181|.
| 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
|
-43.273910
|
INCONSISTENT
|
1
|
32.792328
|
18.601805
|
56.726090
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
98.376983
|
10.700828
|
32.632109
|
INCONSISTENT
|
2
|
65.584655
|
-22.091499
|
-67.367891
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
131.169310
|
7.457119
|
22.740438
|
CONSISTENT
|
4
|
131.169310
|
7.457119
|
22.740438
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
131.169310
|
-2.068264
|
-6.307160
|
CONSISTENT
|
4
|
131.169310
|
-2.068264
|
-6.307160
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
131.169310
|
-16.258787
|
-49.581070
|
INCONSISTENT
|
5
|
163.961638
|
16.533541
|
50.418930
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
196.753966
|
-4.779599
|
-14.575358
|
CONSISTENT
|
6
|
196.753966
|
-4.779599
|
-14.575358
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
229.546293
|
-9.624277
|
-29.349172
|
CONSISTENT
|
7
|
229.546293
|
-9.624277
|
-29.349172
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
8
|
262.338621
|
14.597568
|
44.515193
|
CONSISTENT
|
8
|
262.338621
|
14.597568
|
44.515193
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
262.338621
|
-15.252035
|
-46.510985
|
CONSISTENT
|
8
|
262.338621
|
-15.252035
|
-46.510985
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
9
|
295.130948
|
5.921229
|
18.056751
|
INCONSISTENT
|
8
|
262.338621
|
-26.871099
|
-81.943249
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
9
|
295.130948
|
-6.715572
|
-20.479095
|
CONSISTENT
|
9
|
295.130948
|
-6.715572
|
-20.479095
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
11
|
360.715604
|
13.307663
|
40.581636
|
CONSISTENT
|
11
|
360.715604
|
13.307663
|
40.581636
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
12
|
393.507931
|
12.529303
|
38.208033
|
CONSISTENT
|
12
|
393.507931
|
12.529303
|
38.208033
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
13
|
426.300259
|
-8.783836
|
-26.786255
|
CONSISTENT
|
13
|
426.300259
|
-8.783836
|
-26.786255
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
14
|
459.092586
|
9.817969
|
29.939835
|
CONSISTENT
|
14
|
459.092586
|
9.817969
|
29.939835
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
16
|
524.677242
|
-12.273531
|
-37.428056
|
CONSISTENT
|
16
|
524.677242
|
-12.273531
|
-37.428056
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
17
|
557.469569
|
-10.852101
|
-33.093415
|
CONSISTENT
|
17
|
557.469569
|
-10.852101
|
-33.093415
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
18
|
590.261897
|
7.749704
|
23.632675
|
CONSISTENT
|
18
|
590.261897
|
7.749704
|
23.632675
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
18
|
590.261897
|
-6.440818
|
-19.641235
|
INCONSISTENT
|
19
|
623.054224
|
26.351509
|
80.358765
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
19
|
623.054224
|
14.702238
|
44.834384
|
CONSISTENT
|
19
|
623.054224
|
14.702238
|
44.834384
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
19
|
623.054224
|
-5.665456
|
-17.276774
|
INCONSISTENT
|
20
|
655.846552
|
27.126871
|
82.723226
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
19
|
623.054224
|
-13.563436
|
-41.361613
|
CONSISTENT
|
19
|
623.054224
|
-13.563436
|
-41.361613
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
20
|
655.846552
|
-14.341795
|
-43.735216
|
CONSISTENT
|
20
|
655.846552
|
-14.341795
|
-43.735216
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
21
|
688.638880
|
-6.177002
|
-18.836728
|
INCONSISTENT
|
22
|
721.431207
|
26.615326
|
81.163272
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
23
|
754.223535
|
3.102397
|
9.460740
|
CONSISTENT
|
23
|
754.223535
|
3.102397
|
9.460740
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
24
|
787.015862
|
4.523827
|
13.795381
|
CONSISTENT
|
24
|
787.015862
|
4.523827
|
13.795381
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
24
|
787.015862
|
-13.893731
|
-42.368846
|
CONSISTENT
|
24
|
787.015862
|
-13.893731
|
-42.368846
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
25
|
819.808190
|
-10.445056
|
-31.852132
|
INCONSISTENT
|
26
|
852.600518
|
22.347272
|
68.147868
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
27
|
885.392845
|
15.224655
|
46.427490
|
INCONSISTENT
|
26
|
852.600518
|
-17.567673
|
-53.572510
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
27
|
885.392845
|
1.034132
|
3.153580
|
CONSISTENT
|
27
|
885.392845
|
1.034132
|
3.153580
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
28
|
918.185173
|
0.255773
|
0.779977
|
CONSISTENT
|
28
|
918.185173
|
0.255773
|
0.779977
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
30
|
983.769828
|
-0.255773
|
-0.779977
|
CONSISTENT
|
30
|
983.769828
|
-0.255773
|
-0.779977
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
31
|
1016.562156
|
-1.034132
|
-3.153580
|
CONSISTENT
|
31
|
1016.562156
|
-1.034132
|
-3.153580
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
31
|
1016.562156
|
-15.224655
|
-46.427490
|
INCONSISTENT
|
32
|
1049.354483
|
17.567673
|
53.572510
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
33
|
1082.146811
|
10.445056
|
31.852132
|
INCONSISTENT
|
32
|
1049.354483
|
-22.347272
|
-68.147868
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
34
|
1114.939138
|
13.893731
|
42.368846
|
CONSISTENT
|
34
|
1114.939138
|
13.893731
|
42.368846
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
34
|
1114.939138
|
-4.523827
|
-13.795381
|
CONSISTENT
|
34
|
1114.939138
|
-4.523827
|
-13.795381
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
35
|
1147.731466
|
-3.102397
|
-9.460740
|
CONSISTENT
|
35
|
1147.731466
|
-3.102397
|
-9.460740
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
37
|
1213.316121
|
6.177002
|
18.836728
|
INCONSISTENT
|
36
|
1180.523794
|
-26.615326
|
-81.163272
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
38
|
1246.108449
|
14.341795
|
43.735216
|
CONSISTENT
|
38
|
1246.108449
|
14.341795
|
43.735216
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
39
|
1278.900776
|
13.563436
|
41.361613
|
CONSISTENT
|
39
|
1278.900776
|
13.563436
|
41.361613
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
39
|
1278.900776
|
5.665456
|
17.276774
|
INCONSISTENT
|
38
|
1246.108449
|
-27.126871
|
-82.723226
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
39
|
1278.900776
|
-14.702238
|
-44.834384
|
CONSISTENT
|
39
|
1278.900776
|
-14.702238
|
-44.834384
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
40
|
1311.693104
|
-7.749704
|
-23.632675
|
CONSISTENT
|
40
|
1311.693104
|
-7.749704
|
-23.632675
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
41
|
1344.485432
|
10.852101
|
33.093415
|
CONSISTENT
|
41
|
1344.485432
|
10.852101
|
33.093415
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
42
|
1377.277759
|
12.273531
|
37.428056
|
CONSISTENT
|
42
|
1377.277759
|
12.273531
|
37.428056
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
44
|
1442.862414
|
-9.817969
|
-29.939835
|
CONSISTENT
|
44
|
1442.862414
|
-9.817969
|
-29.939835
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
45
|
1475.654742
|
8.783836
|
26.786255
|
CONSISTENT
|
45
|
1475.654742
|
8.783836
|
26.786255
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
46
|
1508.447070
|
-12.529303
|
-38.208033
|
CONSISTENT
|
46
|
1508.447070
|
-12.529303
|
-38.208033
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
47
|
1541.239397
|
-13.307663
|
-40.581636
|
CONSISTENT
|
47
|
1541.239397
|
-13.307663
|
-40.581636
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
49
|
1606.824052
|
6.715572
|
20.479095
|
CONSISTENT
|
49
|
1606.824052
|
6.715572
|
20.479095
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
49
|
1606.824052
|
-5.921229
|
-18.056751
|
INCONSISTENT
|
50
|
1639.616380
|
26.871099
|
81.943249
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
50
|
1639.616380
|
15.252035
|
46.510985
|
CONSISTENT
|
50
|
1639.616380
|
15.252035
|
46.510985
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
50
|
1639.616380
|
-14.597568
|
-44.515193
|
CONSISTENT
|
50
|
1639.616380
|
-14.597568
|
-44.515193
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
51
|
1672.408708
|
9.624277
|
29.349172
|
CONSISTENT
|
51
|
1672.408708
|
9.624277
|
29.349172
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
52
|
1705.201035
|
4.779599
|
14.575358
|
CONSISTENT
|
52
|
1705.201035
|
4.779599
|
14.575358
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
54
|
1770.785690
|
16.258787
|
49.581070
|
INCONSISTENT
|
53
|
1737.993363
|
-16.533541
|
-50.418930
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
54
|
1770.785690
|
2.068264
|
6.307160
|
CONSISTENT
|
54
|
1770.785690
|
2.068264
|
6.307160
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
54
|
1770.785690
|
-7.457119
|
-22.740438
|
CONSISTENT
|
54
|
1770.785690
|
-7.457119
|
-22.740438
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
55
|
1803.578018
|
-10.700828
|
-32.632109
|
INCONSISTENT
|
56
|
1836.370346
|
22.091499
|
67.367891
|
31
|
3/1
|
1901.955001
|
cP5
|
58
|
1901.955001
|
0
|
0
|
CONSISTENT
|
58
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales