User:Contribution/JI intervals approximated by 69edt
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69edt divides the tritave in 69 equal steps and the octave in 43.534153 equal steps of 27.564565 cents each. Its 31-limit patent val is <44 69 101 122 151 161 178 185 197 211 216|.
| 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
|
27.564565
|
13.374043
|
48.518969
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-51.481031
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
82.693696
|
-4.982459
|
-18.075594
|
CONSISTENT
|
3
|
82.693696
|
-4.982459
|
-18.075594
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
110.258261
|
-13.453931
|
-48.808790
|
CONSISTENT
|
4
|
110.258261
|
-13.453931
|
-48.808790
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
137.822826
|
4.585251
|
16.634586
|
CONSISTENT
|
5
|
137.822826
|
4.585251
|
16.634586
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
137.822826
|
-9.605271
|
-34.846445
|
CONSISTENT
|
5
|
137.822826
|
-9.605271
|
-34.846445
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
192.951957
|
-8.581608
|
-31.132754
|
CONSISTENT
|
7
|
192.951957
|
-8.581608
|
-31.132754
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
248.081087
|
8.910517
|
32.325985
|
CONSISTENT
|
9
|
248.081087
|
8.910517
|
32.325985
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
9
|
248.081087
|
0.340034
|
1.233591
|
CONSISTENT
|
9
|
248.081087
|
0.340034
|
1.233591
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
10
|
275.645652
|
-1.945003
|
-7.056172
|
CONSISTENT
|
10
|
275.645652
|
-1.945003
|
-7.056172
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
10
|
275.645652
|
-13.564067
|
-49.208348
|
CONSISTENT
|
10
|
275.645652
|
-13.564067
|
-49.208348
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
11
|
303.210218
|
1.363697
|
4.947283
|
CONSISTENT
|
11
|
303.210218
|
1.363697
|
4.947283
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
13
|
358.339348
|
10.931407
|
39.657463
|
CONSISTENT
|
13
|
358.339348
|
10.931407
|
39.657463
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
14
|
385.903913
|
4.925285
|
17.868177
|
CONSISTENT
|
14
|
385.903913
|
4.925285
|
17.868177
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
16
|
441.033044
|
5.948948
|
21.581869
|
CONSISTENT
|
16
|
441.033044
|
5.948948
|
21.581869
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
16
|
441.033044
|
-8.241574
|
-29.899162
|
CONSISTENT
|
16
|
441.033044
|
-8.241574
|
-29.899162
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
19
|
523.726739
|
-13.224033
|
-47.974756
|
CONSISTENT
|
19
|
523.726739
|
-13.224033
|
-47.974756
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
21
|
578.855870
|
10.534200
|
38.216455
|
CONSISTENT
|
21
|
578.855870
|
10.534200
|
38.216455
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
21
|
578.855870
|
-3.656323
|
-13.264576
|
CONSISTENT
|
21
|
578.855870
|
-3.656323
|
-13.264576
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
22
|
606.420435
|
9.717720
|
35.254392
|
INCONSISTENT
|
21
|
578.855870
|
-17.846845
|
-64.745608
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
22
|
606.420435
|
-1.931551
|
-7.007371
|
CONSISTENT
|
22
|
606.420435
|
-1.931551
|
-7.007371
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
23
|
633.985000
|
5.265320
|
19.101769
|
CONSISTENT
|
23
|
633.985000
|
5.265320
|
19.101769
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
23
|
633.985000
|
-2.632660
|
-9.550884
|
CONSISTENT
|
23
|
633.985000
|
-2.632660
|
-9.550884
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
24
|
661.549566
|
-8.638782
|
-31.340170
|
CONSISTENT
|
24
|
661.549566
|
-8.638782
|
-31.340170
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
25
|
689.114131
|
-5.701751
|
-20.685073
|
INCONSISTENT
|
26
|
716.678696
|
21.862815
|
79.314927
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
27
|
744.243261
|
-6.877877
|
-24.951879
|
CONSISTENT
|
27
|
744.243261
|
-6.877877
|
-24.951879
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
28
|
771.807826
|
-10.684209
|
-38.760667
|
INCONSISTENT
|
29
|
799.372392
|
16.880356
|
61.239333
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
29
|
799.372392
|
-1.537201
|
-5.576730
|
CONSISTENT
|
29
|
799.372392
|
-1.537201
|
-5.576730
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
30
|
826.936957
|
-3.316289
|
-12.030985
|
CONSISTENT
|
30
|
826.936957
|
-3.316289
|
-12.030985
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
32
|
882.066087
|
11.897897
|
43.163738
|
CONSISTENT
|
32
|
882.066087
|
11.897897
|
43.163738
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
32
|
882.066087
|
-2.292626
|
-8.317293
|
CONSISTENT
|
32
|
882.066087
|
-2.292626
|
-8.317293
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
33
|
909.630653
|
-8.298748
|
-30.106579
|
CONSISTENT
|
33
|
909.630653
|
-8.298748
|
-30.106579
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
36
|
992.324348
|
8.298748
|
30.106579
|
CONSISTENT
|
36
|
992.324348
|
8.298748
|
30.106579
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
37
|
1019.888914
|
2.292626
|
8.317293
|
CONSISTENT
|
37
|
1019.888914
|
2.292626
|
8.317293
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
37
|
1019.888914
|
-11.897897
|
-43.163738
|
CONSISTENT
|
37
|
1019.888914
|
-11.897897
|
-43.163738
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
39
|
1075.018044
|
3.316289
|
12.030985
|
CONSISTENT
|
39
|
1075.018044
|
3.316289
|
12.030985
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
40
|
1102.582609
|
1.537201
|
5.576730
|
CONSISTENT
|
40
|
1102.582609
|
1.537201
|
5.576730
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
41
|
1130.147174
|
10.684209
|
38.760667
|
INCONSISTENT
|
40
|
1102.582609
|
-16.880356
|
-61.239333
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
42
|
1157.711740
|
6.877877
|
24.951879
|
CONSISTENT
|
42
|
1157.711740
|
6.877877
|
24.951879
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
44
|
1212.840870
|
5.701751
|
20.685073
|
INCONSISTENT
|
43
|
1185.276305
|
-21.862815
|
-79.314927
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
45
|
1240.405435
|
8.638782
|
31.340170
|
CONSISTENT
|
45
|
1240.405435
|
8.638782
|
31.340170
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
46
|
1267.970001
|
2.632660
|
9.550884
|
CONSISTENT
|
46
|
1267.970001
|
2.632660
|
9.550884
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
46
|
1267.970001
|
-5.265320
|
-19.101769
|
CONSISTENT
|
46
|
1267.970001
|
-5.265320
|
-19.101769
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
47
|
1295.534566
|
1.931551
|
7.007371
|
CONSISTENT
|
47
|
1295.534566
|
1.931551
|
7.007371
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
48
|
1323.099131
|
3.656323
|
13.264576
|
CONSISTENT
|
48
|
1323.099131
|
3.656323
|
13.264576
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
48
|
1323.099131
|
-10.534200
|
-38.216455
|
CONSISTENT
|
48
|
1323.099131
|
-10.534200
|
-38.216455
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
50
|
1378.228261
|
13.224033
|
47.974756
|
CONSISTENT
|
50
|
1378.228261
|
13.224033
|
47.974756
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
53
|
1460.921957
|
8.241574
|
29.899162
|
CONSISTENT
|
53
|
1460.921957
|
8.241574
|
29.899162
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
53
|
1460.921957
|
-5.948948
|
-21.581869
|
CONSISTENT
|
53
|
1460.921957
|
-5.948948
|
-21.581869
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
55
|
1516.051088
|
-4.925285
|
-17.868177
|
CONSISTENT
|
55
|
1516.051088
|
-4.925285
|
-17.868177
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
56
|
1543.615653
|
-10.931407
|
-39.657463
|
CONSISTENT
|
56
|
1543.615653
|
-10.931407
|
-39.657463
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
58
|
1598.744783
|
-1.363697
|
-4.947283
|
CONSISTENT
|
58
|
1598.744783
|
-1.363697
|
-4.947283
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
59
|
1626.309349
|
13.564067
|
49.208348
|
CONSISTENT
|
59
|
1626.309349
|
13.564067
|
49.208348
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
59
|
1626.309349
|
1.945003
|
7.056172
|
CONSISTENT
|
59
|
1626.309349
|
1.945003
|
7.056172
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
60
|
1653.873914
|
-0.340034
|
-1.233591
|
CONSISTENT
|
60
|
1653.873914
|
-0.340034
|
-1.233591
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
60
|
1653.873914
|
-8.910517
|
-32.325985
|
CONSISTENT
|
60
|
1653.873914
|
-8.910517
|
-32.325985
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
62
|
1709.003044
|
8.581608
|
31.132754
|
CONSISTENT
|
62
|
1709.003044
|
8.581608
|
31.132754
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
64
|
1764.132175
|
9.605271
|
34.846445
|
CONSISTENT
|
64
|
1764.132175
|
9.605271
|
34.846445
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
64
|
1764.132175
|
-4.585251
|
-16.634586
|
CONSISTENT
|
64
|
1764.132175
|
-4.585251
|
-16.634586
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
65
|
1791.696740
|
13.453931
|
48.808790
|
CONSISTENT
|
65
|
1791.696740
|
13.453931
|
48.808790
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
66
|
1819.261305
|
4.982459
|
18.075594
|
CONSISTENT
|
66
|
1819.261305
|
4.982459
|
18.075594
|
31
|
3/1
|
1901.955001
|
cP5
|
69
|
1901.955001
|
0
|
0
|
CONSISTENT
|
69
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales