User:Contribution/JI intervals approximated by 84edt
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84edt divides the tritave in 84 equal steps and the octave in 52.998099 equal steps of 22.642321 cents each. Its 31-limit patent val is <53 84 123 149 183 196 217 225 240 257 263|.
| 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
|
22.642321
|
8.451799
|
37.327440
|
CONSISTENT
|
1
|
22.642321
|
8.451799
|
37.327440
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
90.569286
|
2.893131
|
12.777538
|
CONSISTENT
|
4
|
90.569286
|
2.893131
|
12.777538
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
113.211607
|
-10.500584
|
-46.375918
|
CONSISTENT
|
5
|
113.211607
|
-10.500584
|
-46.375918
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
135.853929
|
2.616354
|
11.555148
|
CONSISTENT
|
6
|
135.853929
|
2.616354
|
11.555148
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
158.496250
|
11.068153
|
48.882588
|
CONSISTENT
|
7
|
158.496250
|
11.068153
|
48.882588
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
203.780893
|
2.247328
|
9.925343
|
CONSISTENT
|
9
|
203.780893
|
2.247328
|
9.925343
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
249.065536
|
9.894966
|
43.701199
|
CONSISTENT
|
11
|
249.065536
|
9.894966
|
43.701199
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
249.065536
|
1.324483
|
5.849590
|
CONSISTENT
|
11
|
249.065536
|
1.324483
|
5.849590
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
12
|
271.707857
|
-5.882798
|
-25.981426
|
CONSISTENT
|
12
|
271.707857
|
-5.882798
|
-25.981426
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
13
|
294.350179
|
5.140459
|
22.702881
|
CONSISTENT
|
13
|
294.350179
|
5.140459
|
22.702881
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
13
|
294.350179
|
-7.496342
|
-33.107655
|
CONSISTENT
|
13
|
294.350179
|
-7.496342
|
-33.107655
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
15
|
339.634822
|
-7.773119
|
-34.330045
|
CONSISTENT
|
15
|
339.634822
|
-7.773119
|
-34.330045
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
17
|
384.919464
|
3.940837
|
17.404738
|
CONSISTENT
|
17
|
384.919464
|
3.940837
|
17.404738
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
19
|
430.204107
|
-4.879988
|
-21.552507
|
CONSISTENT
|
19
|
430.204107
|
-4.879988
|
-21.552507
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
20
|
452.846429
|
3.571811
|
15.774933
|
CONSISTENT
|
20
|
452.846429
|
3.571811
|
15.774933
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
24
|
543.415715
|
6.464942
|
28.552471
|
CONSISTENT
|
24
|
543.415715
|
6.464942
|
28.552471
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
25
|
566.058036
|
-2.263634
|
-9.997359
|
CONSISTENT
|
25
|
566.058036
|
-2.263634
|
-9.997359
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
26
|
588.700357
|
6.188165
|
27.330081
|
CONSISTENT
|
26
|
588.700357
|
6.188165
|
27.330081
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
26
|
588.700357
|
-8.002358
|
-35.342479
|
INCONSISTENT
|
27
|
611.342679
|
14.639964
|
64.657521
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
27
|
611.342679
|
2.990692
|
13.208418
|
CONSISTENT
|
27
|
611.342679
|
2.990692
|
13.208418
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
28
|
633.985000
|
5.265320
|
23.254327
|
CONSISTENT
|
28
|
633.985000
|
5.265320
|
23.254327
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
28
|
633.985000
|
-2.632660
|
-11.627164
|
CONSISTENT
|
28
|
633.985000
|
-2.632660
|
-11.627164
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
30
|
679.269643
|
9.081296
|
40.107619
|
CONSISTENT
|
30
|
679.269643
|
9.081296
|
40.107619
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
31
|
701.911965
|
7.096083
|
31.339911
|
INCONSISTENT
|
30
|
679.269643
|
-15.546238
|
-68.660089
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
33
|
747.196607
|
-3.924531
|
-17.332722
|
CONSISTENT
|
33
|
747.196607
|
-3.924531
|
-17.332722
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
35
|
792.481250
|
9.989214
|
44.117448
|
INCONSISTENT
|
34
|
769.838929
|
-12.653107
|
-55.882552
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
35
|
792.481250
|
-8.428343
|
-37.223845
|
CONSISTENT
|
35
|
792.481250
|
-8.428343
|
-37.223845
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
37
|
837.765893
|
7.512648
|
33.179671
|
CONSISTENT
|
37
|
837.765893
|
7.512648
|
33.179671
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
38
|
860.408215
|
-9.759976
|
-43.105014
|
CONSISTENT
|
38
|
860.408215
|
-9.759976
|
-43.105014
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
39
|
883.050536
|
-1.308177
|
-5.777574
|
CONSISTENT
|
39
|
883.050536
|
-1.308177
|
-5.777574
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
41
|
928.335179
|
10.405779
|
45.957208
|
CONSISTENT
|
41
|
928.335179
|
10.405779
|
45.957208
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
43
|
973.619822
|
-10.405779
|
-45.957208
|
CONSISTENT
|
43
|
973.619822
|
-10.405779
|
-45.957208
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
45
|
1018.904465
|
1.308177
|
5.777574
|
CONSISTENT
|
45
|
1018.904465
|
1.308177
|
5.777574
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
46
|
1041.546786
|
9.759976
|
43.105014
|
CONSISTENT
|
46
|
1041.546786
|
9.759976
|
43.105014
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
47
|
1064.189108
|
-7.512648
|
-33.179671
|
CONSISTENT
|
47
|
1064.189108
|
-7.512648
|
-33.179671
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
49
|
1109.473751
|
8.428343
|
37.223845
|
CONSISTENT
|
49
|
1109.473751
|
8.428343
|
37.223845
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
49
|
1109.473751
|
-9.989214
|
-44.117448
|
INCONSISTENT
|
50
|
1132.116072
|
12.653107
|
55.882552
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
51
|
1154.758393
|
3.924531
|
17.332722
|
CONSISTENT
|
51
|
1154.758393
|
3.924531
|
17.332722
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
53
|
1200.043036
|
-7.096083
|
-31.339911
|
INCONSISTENT
|
54
|
1222.685358
|
15.546238
|
68.660089
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
54
|
1222.685358
|
-9.081296
|
-40.107619
|
CONSISTENT
|
54
|
1222.685358
|
-9.081296
|
-40.107619
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
56
|
1267.970001
|
2.632660
|
11.627164
|
CONSISTENT
|
56
|
1267.970001
|
2.632660
|
11.627164
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
56
|
1267.970001
|
-5.265320
|
-23.254327
|
CONSISTENT
|
56
|
1267.970001
|
-5.265320
|
-23.254327
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
57
|
1290.612322
|
-2.990692
|
-13.208418
|
CONSISTENT
|
57
|
1290.612322
|
-2.990692
|
-13.208418
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
58
|
1313.254643
|
-6.188165
|
-27.330081
|
CONSISTENT
|
58
|
1313.254643
|
-6.188165
|
-27.330081
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
59
|
1335.896965
|
2.263634
|
9.997359
|
CONSISTENT
|
59
|
1335.896965
|
2.263634
|
9.997359
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
60
|
1358.539286
|
-6.464942
|
-28.552471
|
CONSISTENT
|
60
|
1358.539286
|
-6.464942
|
-28.552471
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
64
|
1449.108572
|
-3.571811
|
-15.774933
|
CONSISTENT
|
64
|
1449.108572
|
-3.571811
|
-15.774933
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
65
|
1471.750894
|
4.879988
|
21.552507
|
CONSISTENT
|
65
|
1471.750894
|
4.879988
|
21.552507
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
67
|
1517.035536
|
-3.940837
|
-17.404738
|
CONSISTENT
|
67
|
1517.035536
|
-3.940837
|
-17.404738
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
69
|
1562.320179
|
7.773119
|
34.330045
|
CONSISTENT
|
69
|
1562.320179
|
7.773119
|
34.330045
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
71
|
1607.604822
|
7.496342
|
33.107655
|
CONSISTENT
|
71
|
1607.604822
|
7.496342
|
33.107655
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
71
|
1607.604822
|
-5.140459
|
-22.702881
|
CONSISTENT
|
71
|
1607.604822
|
-5.140459
|
-22.702881
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
72
|
1630.247144
|
5.882798
|
25.981426
|
CONSISTENT
|
72
|
1630.247144
|
5.882798
|
25.981426
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
73
|
1652.889465
|
-1.324483
|
-5.849590
|
CONSISTENT
|
73
|
1652.889465
|
-1.324483
|
-5.849590
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
73
|
1652.889465
|
-9.894966
|
-43.701199
|
CONSISTENT
|
73
|
1652.889465
|
-9.894966
|
-43.701199
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
75
|
1698.174108
|
-2.247328
|
-9.925343
|
CONSISTENT
|
75
|
1698.174108
|
-2.247328
|
-9.925343
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
77
|
1743.458751
|
-11.068153
|
-48.882588
|
CONSISTENT
|
77
|
1743.458751
|
-11.068153
|
-48.882588
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
78
|
1766.101072
|
-2.616354
|
-11.555148
|
CONSISTENT
|
78
|
1766.101072
|
-2.616354
|
-11.555148
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
79
|
1788.743394
|
10.500584
|
46.375918
|
CONSISTENT
|
79
|
1788.743394
|
10.500584
|
46.375918
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
80
|
1811.385715
|
-2.893131
|
-12.777538
|
CONSISTENT
|
80
|
1811.385715
|
-2.893131
|
-12.777538
|
31
|
3/1
|
1901.955001
|
cP5
|
84
|
1901.955001
|
0
|
0
|
CONSISTENT
|
84
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales