User:Contribution/JI intervals approximated by 83edt
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83edt divides the tritave in 83 equal steps and the octave in 52.367170 equal steps of 22.915120 cents each. Its 31-limit patent val is <52 83 122 147 181 194 214 222 237 254 259|.
| 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
|
22.915120
|
8.724598
|
38.073542
|
CONSISTENT
|
1
|
22.915120
|
8.724598
|
38.073542
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
91.660482
|
3.984327
|
17.387329
|
CONSISTENT
|
4
|
91.660482
|
3.984327
|
17.387329
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
114.575602
|
-9.136589
|
-39.871443
|
CONSISTENT
|
5
|
114.575602
|
-9.136589
|
-39.871443
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
137.490723
|
4.253148
|
18.560444
|
INCONSISTENT
|
5
|
114.575602
|
-18.661972
|
-81.439556
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
137.490723
|
-9.937374
|
-43.366014
|
CONSISTENT
|
6
|
137.490723
|
-9.937374
|
-43.366014
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
206.236084
|
4.702520
|
20.521470
|
CONSISTENT
|
9
|
206.236084
|
4.702520
|
20.521470
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
229.151205
|
-10.019365
|
-43.723815
|
CONSISTENT
|
10
|
229.151205
|
-10.019365
|
-43.723815
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
252.066325
|
4.325272
|
18.875190
|
CONSISTENT
|
11
|
252.066325
|
4.325272
|
18.875190
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
12
|
274.981446
|
-2.609209
|
-11.386409
|
CONSISTENT
|
12
|
274.981446
|
-2.609209
|
-11.386409
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
13
|
297.896566
|
8.686847
|
37.908799
|
CONSISTENT
|
13
|
297.896566
|
8.686847
|
37.908799
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
13
|
297.896566
|
-3.949954
|
-17.237326
|
INCONSISTENT
|
14
|
320.811687
|
18.965166
|
82.762674
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
15
|
343.726807
|
-3.681133
|
-16.064211
|
CONSISTENT
|
15
|
343.726807
|
-3.681133
|
-16.064211
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
17
|
389.557048
|
8.578421
|
37.435634
|
INCONSISTENT
|
16
|
366.641928
|
-14.336700
|
-62.564366
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
19
|
435.387289
|
0.303194
|
1.323118
|
CONSISTENT
|
19
|
435.387289
|
0.303194
|
1.323118
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
20
|
458.302410
|
9.027792
|
39.396660
|
CONSISTENT
|
20
|
458.302410
|
9.027792
|
39.396660
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
23
|
527.047771
|
-9.903001
|
-43.216011
|
INCONSISTENT
|
24
|
549.962892
|
13.012119
|
56.783989
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
25
|
572.878012
|
4.556342
|
19.883562
|
INCONSISTENT
|
24
|
549.962892
|
-18.358778
|
-80.116438
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
25
|
572.878012
|
-9.634180
|
-42.042896
|
CONSISTENT
|
25
|
572.878012
|
-9.634180
|
-42.042896
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
26
|
595.793133
|
-0.909582
|
-3.969354
|
CONSISTENT
|
26
|
595.793133
|
-0.909582
|
-3.969354
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
27
|
618.708253
|
10.356267
|
45.194032
|
CONSISTENT
|
27
|
618.708253
|
10.356267
|
45.194032
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
27
|
618.708253
|
-10.011427
|
-43.689177
|
CONSISTENT
|
27
|
618.708253
|
-10.011427
|
-43.689177
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
28
|
641.623374
|
5.005714
|
21.844588
|
CONSISTENT
|
28
|
641.623374
|
5.005714
|
21.844588
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
29
|
664.538494
|
-5.649853
|
-24.655567
|
CONSISTENT
|
29
|
664.538494
|
-5.649853
|
-24.655567
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
30
|
687.453615
|
-7.362266
|
-32.128421
|
CONSISTENT
|
30
|
687.453615
|
-7.362266
|
-32.128421
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
33
|
756.198976
|
5.077838
|
22.159334
|
INCONSISTENT
|
34
|
779.114097
|
27.992959
|
122.159334
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
34
|
779.114097
|
-3.377939
|
-14.741093
|
CONSISTENT
|
34
|
779.114097
|
-3.377939
|
-14.741093
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
35
|
802.029217
|
1.119624
|
4.885962
|
CONSISTENT
|
35
|
802.029217
|
1.119624
|
4.885962
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
36
|
824.944338
|
-5.308908
|
-23.167706
|
CONSISTENT
|
36
|
824.944338
|
-5.308908
|
-23.167706
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
38
|
870.774579
|
0.606388
|
2.646236
|
CONSISTENT
|
38
|
870.774579
|
0.606388
|
2.646236
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
39
|
893.689699
|
9.330986
|
40.719778
|
CONSISTENT
|
39
|
893.689699
|
9.330986
|
40.719778
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
40
|
916.604820
|
-1.324580
|
-5.780378
|
CONSISTENT
|
40
|
916.604820
|
-1.324580
|
-5.780378
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
43
|
985.350181
|
1.324580
|
5.780378
|
CONSISTENT
|
43
|
985.350181
|
1.324580
|
5.780378
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
44
|
1008.265302
|
-9.330986
|
-40.719778
|
CONSISTENT
|
44
|
1008.265302
|
-9.330986
|
-40.719778
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
45
|
1031.180422
|
-0.606388
|
-2.646236
|
CONSISTENT
|
45
|
1031.180422
|
-0.606388
|
-2.646236
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
47
|
1077.010663
|
5.308908
|
23.167706
|
CONSISTENT
|
47
|
1077.010663
|
5.308908
|
23.167706
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
48
|
1099.925784
|
-1.119624
|
-4.885962
|
CONSISTENT
|
48
|
1099.925784
|
-1.119624
|
-4.885962
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
49
|
1122.840904
|
3.377939
|
14.741093
|
CONSISTENT
|
49
|
1122.840904
|
3.377939
|
14.741093
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
50
|
1145.756025
|
-5.077838
|
-22.159334
|
INCONSISTENT
|
49
|
1122.840904
|
-27.992959
|
-122.159334
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
53
|
1214.501386
|
7.362266
|
32.128421
|
CONSISTENT
|
53
|
1214.501386
|
7.362266
|
32.128421
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
54
|
1237.416507
|
5.649853
|
24.655567
|
CONSISTENT
|
54
|
1237.416507
|
5.649853
|
24.655567
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
55
|
1260.331627
|
-5.005714
|
-21.844588
|
CONSISTENT
|
55
|
1260.331627
|
-5.005714
|
-21.844588
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
56
|
1283.246748
|
10.011427
|
43.689177
|
CONSISTENT
|
56
|
1283.246748
|
10.011427
|
43.689177
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
56
|
1283.246748
|
-10.356267
|
-45.194032
|
CONSISTENT
|
56
|
1283.246748
|
-10.356267
|
-45.194032
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
58
|
1329.076989
|
9.634180
|
42.042896
|
CONSISTENT
|
58
|
1329.076989
|
9.634180
|
42.042896
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
58
|
1329.076989
|
-4.556342
|
-19.883562
|
INCONSISTENT
|
59
|
1351.992109
|
18.358778
|
80.116438
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
60
|
1374.907230
|
9.903001
|
43.216011
|
INCONSISTENT
|
59
|
1351.992109
|
-13.012119
|
-56.783989
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
63
|
1443.652591
|
-9.027792
|
-39.396660
|
CONSISTENT
|
63
|
1443.652591
|
-9.027792
|
-39.396660
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
64
|
1466.567712
|
-0.303194
|
-1.323118
|
CONSISTENT
|
64
|
1466.567712
|
-0.303194
|
-1.323118
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
66
|
1512.397952
|
-8.578421
|
-37.435634
|
INCONSISTENT
|
67
|
1535.313073
|
14.336700
|
62.564366
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
68
|
1558.228193
|
3.681133
|
16.064211
|
CONSISTENT
|
68
|
1558.228193
|
3.681133
|
16.064211
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
70
|
1604.058434
|
3.949954
|
17.237326
|
INCONSISTENT
|
69
|
1581.143314
|
-18.965166
|
-82.762674
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
70
|
1604.058434
|
-8.686847
|
-37.908799
|
CONSISTENT
|
70
|
1604.058434
|
-8.686847
|
-37.908799
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
71
|
1626.973555
|
2.609209
|
11.386409
|
CONSISTENT
|
71
|
1626.973555
|
2.609209
|
11.386409
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
72
|
1649.888675
|
-4.325272
|
-18.875190
|
CONSISTENT
|
72
|
1649.888675
|
-4.325272
|
-18.875190
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
73
|
1672.803796
|
10.019365
|
43.723815
|
CONSISTENT
|
73
|
1672.803796
|
10.019365
|
43.723815
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
74
|
1695.718916
|
-4.702520
|
-20.521470
|
CONSISTENT
|
74
|
1695.718916
|
-4.702520
|
-20.521470
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
77
|
1764.464278
|
9.937374
|
43.366014
|
CONSISTENT
|
77
|
1764.464278
|
9.937374
|
43.366014
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
77
|
1764.464278
|
-4.253148
|
-18.560444
|
INCONSISTENT
|
78
|
1787.379398
|
18.661972
|
81.439556
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
78
|
1787.379398
|
9.136589
|
39.871443
|
CONSISTENT
|
78
|
1787.379398
|
9.136589
|
39.871443
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
79
|
1810.294519
|
-3.984327
|
-17.387329
|
CONSISTENT
|
79
|
1810.294519
|
-3.984327
|
-17.387329
|
31
|
3/1
|
1901.955001
|
cP5
|
83
|
1901.955001
|
0
|
0
|
CONSISTENT
|
83
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales