User:Contribution/JI intervals approximated by 82edt
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82edt divides the tritave in 82 equal steps and the octave in 51.736240 equal steps of 23.194573 cents each. Its 31-limit patent val is <52 82 120 145 179 191 211 220 234 251 256|.
| 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
|
23.194573
|
9.004051
|
38.819644
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-61.180356
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
92.778293
|
5.102138
|
21.997120
|
CONSISTENT
|
4
|
92.778293
|
5.102138
|
21.997120
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
115.972866
|
-7.739326
|
-33.366967
|
CONSISTENT
|
5
|
115.972866
|
-7.739326
|
-33.366967
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
139.167439
|
5.929864
|
25.565740
|
CONSISTENT
|
6
|
139.167439
|
5.929864
|
25.565740
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
139.167439
|
-8.260658
|
-35.614616
|
CONSISTENT
|
6
|
139.167439
|
-8.260658
|
-35.614616
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
208.751159
|
7.217594
|
31.117597
|
INCONSISTENT
|
8
|
185.556585
|
-15.976979
|
-68.882403
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
231.945732
|
-7.224838
|
-31.148830
|
CONSISTENT
|
10
|
231.945732
|
-7.224838
|
-31.148830
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
255.140305
|
7.399252
|
31.900790
|
CONSISTENT
|
11
|
255.140305
|
7.399252
|
31.900790
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
12
|
278.334878
|
0.744223
|
3.208608
|
CONSISTENT
|
12
|
278.334878
|
0.744223
|
3.208608
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
12
|
278.334878
|
-10.874841
|
-46.885283
|
CONSISTENT
|
12
|
278.334878
|
-10.874841
|
-46.885283
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
13
|
301.529451
|
-0.317069
|
-1.366997
|
CONSISTENT
|
13
|
301.529451
|
-0.317069
|
-1.366997
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
15
|
347.918598
|
0.510657
|
2.201623
|
CONSISTENT
|
15
|
347.918598
|
0.510657
|
2.201623
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
16
|
371.113171
|
-9.865457
|
-42.533470
|
INCONSISTENT
|
17
|
394.307744
|
13.329116
|
57.466530
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
19
|
440.696890
|
5.612795
|
24.198743
|
CONSISTENT
|
19
|
440.696890
|
5.612795
|
24.198743
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
19
|
440.696890
|
-8.577727
|
-36.981613
|
CONSISTENT
|
19
|
440.696890
|
-8.577727
|
-36.981613
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
23
|
533.475183
|
-3.475589
|
-14.984493
|
CONSISTENT
|
23
|
533.475183
|
-3.475589
|
-14.984493
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
25
|
579.864330
|
11.542659
|
49.764483
|
CONSISTENT
|
25
|
579.864330
|
11.542659
|
49.764483
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
25
|
579.864330
|
-2.647863
|
-11.415873
|
CONSISTENT
|
25
|
579.864330
|
-2.647863
|
-11.415873
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
26
|
603.058903
|
6.356188
|
27.403771
|
INCONSISTENT
|
25
|
579.864330
|
-16.838386
|
-72.596229
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
26
|
603.058903
|
-5.293084
|
-22.820354
|
CONSISTENT
|
26
|
603.058903
|
-5.293084
|
-22.820354
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
27
|
626.253476
|
-2.466205
|
-10.632681
|
INCONSISTENT
|
28
|
649.448049
|
20.728368
|
89.367319
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
27
|
626.253476
|
-10.364184
|
-44.683660
|
CONSISTENT
|
27
|
626.253476
|
-10.364184
|
-44.683660
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
29
|
672.642622
|
2.454275
|
10.581247
|
CONSISTENT
|
29
|
672.642622
|
2.454275
|
10.581247
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
30
|
695.837195
|
1.021314
|
4.403246
|
CONSISTENT
|
30
|
695.837195
|
1.021314
|
4.403246
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
32
|
742.226342
|
-8.894796
|
-38.348610
|
CONSISTENT
|
32
|
742.226342
|
-8.894796
|
-38.348610
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
34
|
788.615488
|
6.123452
|
26.400366
|
CONSISTENT
|
34
|
788.615488
|
6.123452
|
26.400366
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
35
|
811.810061
|
10.900468
|
46.995770
|
CONSISTENT
|
35
|
811.810061
|
10.900468
|
46.995770
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
36
|
835.004635
|
4.751389
|
20.484917
|
CONSISTENT
|
36
|
835.004635
|
4.751389
|
20.484917
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
38
|
881.393781
|
11.225590
|
48.397486
|
CONSISTENT
|
38
|
881.393781
|
11.225590
|
48.397486
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
38
|
881.393781
|
-2.964932
|
-12.782870
|
CONSISTENT
|
38
|
881.393781
|
-2.964932
|
-12.782870
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
40
|
927.782927
|
9.853527
|
42.482037
|
CONSISTENT
|
40
|
927.782927
|
9.853527
|
42.482037
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
42
|
974.172074
|
-9.853527
|
-42.482037
|
CONSISTENT
|
42
|
974.172074
|
-9.853527
|
-42.482037
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
44
|
1020.561220
|
2.964932
|
12.782870
|
CONSISTENT
|
44
|
1020.561220
|
2.964932
|
12.782870
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
44
|
1020.561220
|
-11.225590
|
-48.397486
|
CONSISTENT
|
44
|
1020.561220
|
-11.225590
|
-48.397486
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
46
|
1066.950366
|
-4.751389
|
-20.484917
|
CONSISTENT
|
46
|
1066.950366
|
-4.751389
|
-20.484917
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
47
|
1090.144940
|
-10.900468
|
-46.995770
|
CONSISTENT
|
47
|
1090.144940
|
-10.900468
|
-46.995770
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
48
|
1113.339513
|
-6.123452
|
-26.400366
|
CONSISTENT
|
48
|
1113.339513
|
-6.123452
|
-26.400366
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
50
|
1159.728659
|
8.894796
|
38.348610
|
CONSISTENT
|
50
|
1159.728659
|
8.894796
|
38.348610
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
52
|
1206.117805
|
-1.021314
|
-4.403246
|
CONSISTENT
|
52
|
1206.117805
|
-1.021314
|
-4.403246
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
53
|
1229.312379
|
-2.454275
|
-10.581247
|
CONSISTENT
|
53
|
1229.312379
|
-2.454275
|
-10.581247
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
55
|
1275.701525
|
10.364184
|
44.683660
|
CONSISTENT
|
55
|
1275.701525
|
10.364184
|
44.683660
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
55
|
1275.701525
|
2.466205
|
10.632681
|
INCONSISTENT
|
54
|
1252.506952
|
-20.728368
|
-89.367319
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
56
|
1298.896098
|
5.293084
|
22.820354
|
CONSISTENT
|
56
|
1298.896098
|
5.293084
|
22.820354
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
57
|
1322.090671
|
2.647863
|
11.415873
|
CONSISTENT
|
57
|
1322.090671
|
2.647863
|
11.415873
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
57
|
1322.090671
|
-11.542659
|
-49.764483
|
CONSISTENT
|
57
|
1322.090671
|
-11.542659
|
-49.764483
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
59
|
1368.479818
|
3.475589
|
14.984493
|
CONSISTENT
|
59
|
1368.479818
|
3.475589
|
14.984493
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
63
|
1461.258110
|
8.577727
|
36.981613
|
CONSISTENT
|
63
|
1461.258110
|
8.577727
|
36.981613
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
63
|
1461.258110
|
-5.612795
|
-24.198743
|
CONSISTENT
|
63
|
1461.258110
|
-5.612795
|
-24.198743
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
66
|
1530.841830
|
9.865457
|
42.533470
|
INCONSISTENT
|
65
|
1507.647257
|
-13.329116
|
-57.466530
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
67
|
1554.036403
|
-0.510657
|
-2.201623
|
CONSISTENT
|
67
|
1554.036403
|
-0.510657
|
-2.201623
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
69
|
1600.425550
|
0.317069
|
1.366997
|
CONSISTENT
|
69
|
1600.425550
|
0.317069
|
1.366997
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
70
|
1623.620123
|
10.874841
|
46.885283
|
CONSISTENT
|
70
|
1623.620123
|
10.874841
|
46.885283
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
70
|
1623.620123
|
-0.744223
|
-3.208608
|
CONSISTENT
|
70
|
1623.620123
|
-0.744223
|
-3.208608
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
71
|
1646.814696
|
-7.399252
|
-31.900790
|
CONSISTENT
|
71
|
1646.814696
|
-7.399252
|
-31.900790
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
72
|
1670.009269
|
7.224838
|
31.148830
|
CONSISTENT
|
72
|
1670.009269
|
7.224838
|
31.148830
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
73
|
1693.203842
|
-7.217594
|
-31.117597
|
INCONSISTENT
|
74
|
1716.398415
|
15.976979
|
68.882403
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
76
|
1762.787562
|
8.260658
|
35.614616
|
CONSISTENT
|
76
|
1762.787562
|
8.260658
|
35.614616
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
76
|
1762.787562
|
-5.929864
|
-25.565740
|
CONSISTENT
|
76
|
1762.787562
|
-5.929864
|
-25.565740
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
77
|
1785.982135
|
7.739326
|
33.366967
|
CONSISTENT
|
77
|
1785.982135
|
7.739326
|
33.366967
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
78
|
1809.176708
|
-5.102138
|
-21.997120
|
CONSISTENT
|
78
|
1809.176708
|
-5.102138
|
-21.997120
|
31
|
3/1
|
1901.955001
|
cP5
|
82
|
1901.955001
|
0
|
0
|
CONSISTENT
|
82
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales