User:Contribution/JI intervals approximated by 72edt
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72edt divides the tritave in 72 equal steps and the octave in 45.426942 equal steps of 26.416042 cents each. Its 31-limit patent val is <45 72 105 128 157 168 186 193 205 221 225|.
| 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
|
26.416042
|
12.225519
|
46.280663
|
CONSISTENT
|
1
|
26.416042
|
12.225519
|
46.280663
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
79.248125
|
-8.428030
|
-31.904968
|
CONSISTENT
|
3
|
79.248125
|
-8.428030
|
-31.904968
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
132.080208
|
8.368017
|
31.677785
|
CONSISTENT
|
5
|
132.080208
|
8.368017
|
31.677785
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
132.080208
|
-1.157366
|
-4.381302
|
INCONSISTENT
|
6
|
158.496250
|
25.258675
|
95.618698
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
158.496250
|
11.068153
|
41.899361
|
INCONSISTENT
|
7
|
184.912292
|
37.484194
|
141.899361
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
211.328333
|
9.794769
|
37.078866
|
CONSISTENT
|
8
|
211.328333
|
9.794769
|
37.078866
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
237.744375
|
-1.426195
|
-5.398972
|
CONSISTENT
|
9
|
237.744375
|
-1.426195
|
-5.398972
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
9
|
237.744375
|
-9.996678
|
-37.843209
|
CONSISTENT
|
9
|
237.744375
|
-9.996678
|
-37.843209
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
290.576458
|
12.985803
|
49.158777
|
CONSISTENT
|
11
|
290.576458
|
12.985803
|
49.158777
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
11
|
290.576458
|
1.366739
|
5.173898
|
CONSISTENT
|
11
|
290.576458
|
1.366739
|
5.173898
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
11
|
290.576458
|
-11.270062
|
-42.663704
|
INCONSISTENT
|
10
|
264.160417
|
-37.686104
|
-142.663704
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
13
|
343.408542
|
-3.999399
|
-15.140038
|
CONSISTENT
|
13
|
343.408542
|
-3.999399
|
-15.140038
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
14
|
369.824584
|
-11.154044
|
-42.224511
|
INCONSISTENT
|
15
|
396.240625
|
15.261997
|
57.775489
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
16
|
422.656667
|
-12.427428
|
-47.045006
|
CONSISTENT
|
16
|
422.656667
|
-12.427428
|
-47.045006
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
17
|
449.072709
|
-0.201909
|
-0.764343
|
CONSISTENT
|
17
|
449.072709
|
-0.201909
|
-0.764343
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
20
|
528.320834
|
-8.629939
|
-32.669311
|
CONSISTENT
|
20
|
528.320834
|
-8.629939
|
-32.669311
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
22
|
581.152917
|
12.831247
|
48.573692
|
CONSISTENT
|
22
|
581.152917
|
12.831247
|
48.573692
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
22
|
581.152917
|
-1.359276
|
-5.145645
|
INCONSISTENT
|
23
|
607.568959
|
25.056766
|
94.854355
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
23
|
607.568959
|
10.866244
|
41.135018
|
INCONSISTENT
|
24
|
633.985000
|
37.282285
|
141.135018
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
23
|
607.568959
|
-0.783028
|
-2.964213
|
CONSISTENT
|
23
|
607.568959
|
-0.783028
|
-2.964213
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
24
|
633.985000
|
5.265320
|
19.932280
|
CONSISTENT
|
24
|
633.985000
|
5.265320
|
19.932280
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
24
|
633.985000
|
-2.632660
|
-9.966140
|
CONSISTENT
|
24
|
633.985000
|
-2.632660
|
-9.966140
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
25
|
660.401042
|
-9.787305
|
-37.050613
|
INCONSISTENT
|
26
|
686.817084
|
16.628736
|
62.949387
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
26
|
686.817084
|
-7.998798
|
-30.280076
|
CONSISTENT
|
26
|
686.817084
|
-7.998798
|
-30.280076
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
28
|
739.649167
|
-11.471971
|
-43.428048
|
INCONSISTENT
|
27
|
713.233125
|
-37.888013
|
-143.428048
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
30
|
792.481250
|
9.989214
|
37.814956
|
INCONSISTENT
|
29
|
766.065209
|
-16.426827
|
-62.185044
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
30
|
792.481250
|
-8.428343
|
-31.906153
|
CONSISTENT
|
30
|
792.481250
|
-8.428343
|
-31.906153
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
31
|
818.897292
|
-11.355954
|
-42.988854
|
INCONSISTENT
|
32
|
845.313334
|
15.060088
|
57.011146
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
33
|
871.729375
|
1.561185
|
5.909988
|
INCONSISTENT
|
32
|
845.313334
|
-24.854857
|
-94.090012
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
33
|
871.729375
|
-12.629338
|
-47.809349
|
CONSISTENT
|
33
|
871.729375
|
-12.629338
|
-47.809349
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
35
|
924.561459
|
6.632059
|
25.106178
|
CONSISTENT
|
35
|
924.561459
|
6.632059
|
25.106178
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
37
|
977.393542
|
-6.632059
|
-25.106178
|
CONSISTENT
|
37
|
977.393542
|
-6.632059
|
-25.106178
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
39
|
1030.225625
|
12.629338
|
47.809349
|
CONSISTENT
|
39
|
1030.225625
|
12.629338
|
47.809349
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
39
|
1030.225625
|
-1.561185
|
-5.909988
|
INCONSISTENT
|
40
|
1056.641667
|
24.854857
|
94.090012
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
41
|
1083.057709
|
11.355954
|
42.988854
|
INCONSISTENT
|
40
|
1056.641667
|
-15.060088
|
-57.011146
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
42
|
1109.473751
|
8.428343
|
31.906153
|
CONSISTENT
|
42
|
1109.473751
|
8.428343
|
31.906153
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
42
|
1109.473751
|
-9.989214
|
-37.814956
|
INCONSISTENT
|
43
|
1135.889792
|
16.426827
|
62.185044
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
44
|
1162.305834
|
11.471971
|
43.428048
|
INCONSISTENT
|
45
|
1188.721876
|
37.888013
|
143.428048
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
46
|
1215.137917
|
7.998798
|
30.280076
|
CONSISTENT
|
46
|
1215.137917
|
7.998798
|
30.280076
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
47
|
1241.553959
|
9.787305
|
37.050613
|
INCONSISTENT
|
46
|
1215.137917
|
-16.628736
|
-62.949387
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
48
|
1267.970001
|
2.632660
|
9.966140
|
CONSISTENT
|
48
|
1267.970001
|
2.632660
|
9.966140
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
48
|
1267.970001
|
-5.265320
|
-19.932280
|
CONSISTENT
|
48
|
1267.970001
|
-5.265320
|
-19.932280
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
49
|
1294.386042
|
0.783028
|
2.964213
|
CONSISTENT
|
49
|
1294.386042
|
0.783028
|
2.964213
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
50
|
1320.802084
|
1.359276
|
5.145645
|
INCONSISTENT
|
49
|
1294.386042
|
-25.056766
|
-94.854355
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
50
|
1320.802084
|
-12.831247
|
-48.573692
|
CONSISTENT
|
50
|
1320.802084
|
-12.831247
|
-48.573692
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
52
|
1373.634167
|
8.629939
|
32.669311
|
CONSISTENT
|
52
|
1373.634167
|
8.629939
|
32.669311
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
55
|
1452.882292
|
0.201909
|
0.764343
|
CONSISTENT
|
55
|
1452.882292
|
0.201909
|
0.764343
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
56
|
1479.298334
|
12.427428
|
47.045006
|
CONSISTENT
|
56
|
1479.298334
|
12.427428
|
47.045006
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
58
|
1532.130417
|
11.154044
|
42.224511
|
INCONSISTENT
|
57
|
1505.714376
|
-15.261997
|
-57.775489
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
59
|
1558.546459
|
3.999399
|
15.140038
|
CONSISTENT
|
59
|
1558.546459
|
3.999399
|
15.140038
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
61
|
1611.378542
|
11.270062
|
42.663704
|
INCONSISTENT
|
62
|
1637.794584
|
37.686104
|
142.663704
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
61
|
1611.378542
|
-1.366739
|
-5.173898
|
CONSISTENT
|
61
|
1611.378542
|
-1.366739
|
-5.173898
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
61
|
1611.378542
|
-12.985803
|
-49.158777
|
CONSISTENT
|
61
|
1611.378542
|
-12.985803
|
-49.158777
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
63
|
1664.210626
|
9.996678
|
37.843209
|
CONSISTENT
|
63
|
1664.210626
|
9.996678
|
37.843209
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
63
|
1664.210626
|
1.426195
|
5.398972
|
CONSISTENT
|
63
|
1664.210626
|
1.426195
|
5.398972
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
64
|
1690.626667
|
-9.794769
|
-37.078866
|
CONSISTENT
|
64
|
1690.626667
|
-9.794769
|
-37.078866
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
66
|
1743.458751
|
-11.068153
|
-41.899361
|
INCONSISTENT
|
65
|
1717.042709
|
-37.484194
|
-141.899361
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
67
|
1769.874792
|
1.157366
|
4.381302
|
INCONSISTENT
|
66
|
1743.458751
|
-25.258675
|
-95.618698
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
67
|
1769.874792
|
-8.368017
|
-31.677785
|
CONSISTENT
|
67
|
1769.874792
|
-8.368017
|
-31.677785
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
69
|
1822.706876
|
8.428030
|
31.904968
|
CONSISTENT
|
69
|
1822.706876
|
8.428030
|
31.904968
|
31
|
3/1
|
1901.955001
|
cP5
|
72
|
1901.955001
|
0
|
0
|
CONSISTENT
|
72
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales