User:Contribution/JI intervals approximated by 70edt
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70edt divides the tritave in 70 equal steps and the octave in 44.165083 equal steps of 27.170786 cents each. Its 31-limit patent val is <44 70 103 124 153 163 181 188 200 215 219|.
| 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
|
27.170786
|
12.980263
|
47.772867
|
CONSISTENT
|
1
|
27.170786
|
12.980263
|
47.772867
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
81.512357
|
-6.163797
|
-22.685385
|
CONSISTENT
|
3
|
81.512357
|
-6.163797
|
-22.685385
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
135.853929
|
12.141737
|
44.686735
|
CONSISTENT
|
5
|
135.853929
|
12.141737
|
44.686735
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
135.853929
|
2.616354
|
9.629290
|
INCONSISTENT
|
4
|
108.683143
|
-24.554432
|
-90.370710
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
135.853929
|
-11.574169
|
-42.597843
|
CONSISTENT
|
5
|
135.853929
|
-11.574169
|
-42.597843
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
190.195500
|
-11.338065
|
-41.728880
|
CONSISTENT
|
7
|
190.195500
|
-11.338065
|
-41.728880
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
244.537072
|
5.366502
|
19.750999
|
CONSISTENT
|
9
|
244.537072
|
5.366502
|
19.750999
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
9
|
244.537072
|
-3.203981
|
-11.792009
|
INCONSISTENT
|
10
|
271.707857
|
23.966804
|
88.207991
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
10
|
271.707857
|
-5.882798
|
-21.651189
|
CONSISTENT
|
10
|
271.707857
|
-5.882798
|
-21.651189
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
11
|
298.878643
|
9.668924
|
35.585734
|
INCONSISTENT
|
10
|
271.707857
|
-17.501862
|
-64.414266
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
11
|
298.878643
|
-2.967877
|
-10.923046
|
INCONSISTENT
|
12
|
326.049429
|
24.202908
|
89.076954
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
13
|
353.220214
|
5.812274
|
21.391629
|
CONSISTENT
|
13
|
353.220214
|
5.812274
|
21.391629
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
14
|
380.391000
|
-0.587628
|
-2.162719
|
CONSISTENT
|
14
|
380.391000
|
-0.587628
|
-2.162719
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
16
|
434.732572
|
-0.351524
|
-1.293756
|
CONSISTENT
|
16
|
434.732572
|
-0.351524
|
-1.293756
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
17
|
461.903357
|
12.628740
|
46.479111
|
CONSISTENT
|
17
|
461.903357
|
12.628740
|
46.479111
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
20
|
543.415715
|
6.464942
|
23.793725
|
CONSISTENT
|
20
|
543.415715
|
6.464942
|
23.793725
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
21
|
570.586500
|
2.264830
|
8.335534
|
INCONSISTENT
|
20
|
543.415715
|
-24.905956
|
-91.664466
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
21
|
570.586500
|
-11.925692
|
-43.891599
|
CONSISTENT
|
21
|
570.586500
|
-11.925692
|
-43.891599
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
22
|
597.757286
|
1.054571
|
3.881268
|
CONSISTENT
|
22
|
597.757286
|
1.054571
|
3.881268
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
22
|
597.757286
|
-10.594700
|
-38.992985
|
CONSISTENT
|
22
|
597.757286
|
-10.594700
|
-38.992985
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
23
|
624.928072
|
-3.791609
|
-13.954727
|
INCONSISTENT
|
24
|
652.098857
|
23.379177
|
86.045273
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
23
|
624.928072
|
-11.689588
|
-43.022636
|
CONSISTENT
|
23
|
624.928072
|
-11.689588
|
-43.022636
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
25
|
679.269643
|
9.081296
|
33.423016
|
INCONSISTENT
|
24
|
652.098857
|
-18.089490
|
-66.576984
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
26
|
706.440429
|
11.624548
|
42.783259
|
CONSISTENT
|
26
|
706.440429
|
11.624548
|
42.783259
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
28
|
760.782000
|
9.660862
|
35.556065
|
INCONSISTENT
|
29
|
787.952786
|
36.831648
|
135.556065
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
29
|
787.952786
|
5.460750
|
20.097874
|
CONSISTENT
|
29
|
787.952786
|
5.460750
|
20.097874
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
29
|
787.952786
|
-12.956807
|
-47.686538
|
CONSISTENT
|
29
|
787.952786
|
-12.956807
|
-47.686538
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
31
|
842.294358
|
12.041112
|
44.316392
|
CONSISTENT
|
31
|
842.294358
|
12.041112
|
44.316392
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
32
|
869.465143
|
-0.703047
|
-2.587512
|
CONSISTENT
|
32
|
869.465143
|
-0.703047
|
-2.587512
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
33
|
896.635929
|
12.277216
|
45.185355
|
CONSISTENT
|
33
|
896.635929
|
12.277216
|
45.185355
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
34
|
923.806715
|
5.877315
|
21.631007
|
CONSISTENT
|
34
|
923.806715
|
5.877315
|
21.631007
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
36
|
978.148286
|
-5.877315
|
-21.631007
|
CONSISTENT
|
36
|
978.148286
|
-5.877315
|
-21.631007
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
37
|
1005.319072
|
-12.277216
|
-45.185355
|
CONSISTENT
|
37
|
1005.319072
|
-12.277216
|
-45.185355
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
38
|
1032.489858
|
0.703047
|
2.587512
|
CONSISTENT
|
38
|
1032.489858
|
0.703047
|
2.587512
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
39
|
1059.660643
|
-12.041112
|
-44.316392
|
CONSISTENT
|
39
|
1059.660643
|
-12.041112
|
-44.316392
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
41
|
1114.002215
|
12.956807
|
47.686538
|
CONSISTENT
|
41
|
1114.002215
|
12.956807
|
47.686538
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
41
|
1114.002215
|
-5.460750
|
-20.097874
|
CONSISTENT
|
41
|
1114.002215
|
-5.460750
|
-20.097874
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
42
|
1141.173001
|
-9.660862
|
-35.556065
|
INCONSISTENT
|
41
|
1114.002215
|
-36.831648
|
-135.556065
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
44
|
1195.514572
|
-11.624548
|
-42.783259
|
CONSISTENT
|
44
|
1195.514572
|
-11.624548
|
-42.783259
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
45
|
1222.685358
|
-9.081296
|
-33.423016
|
INCONSISTENT
|
46
|
1249.856143
|
18.089490
|
66.576984
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
47
|
1277.026929
|
11.689588
|
43.022636
|
CONSISTENT
|
47
|
1277.026929
|
11.689588
|
43.022636
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
47
|
1277.026929
|
3.791609
|
13.954727
|
INCONSISTENT
|
46
|
1249.856143
|
-23.379177
|
-86.045273
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
48
|
1304.197715
|
10.594700
|
38.992985
|
CONSISTENT
|
48
|
1304.197715
|
10.594700
|
38.992985
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
49
|
1331.368501
|
11.925692
|
43.891599
|
CONSISTENT
|
49
|
1331.368501
|
11.925692
|
43.891599
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
49
|
1331.368501
|
-2.264830
|
-8.335534
|
INCONSISTENT
|
50
|
1358.539286
|
24.905956
|
91.664466
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
50
|
1358.539286
|
-6.464942
|
-23.793725
|
CONSISTENT
|
50
|
1358.539286
|
-6.464942
|
-23.793725
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
53
|
1440.051644
|
-12.628740
|
-46.479111
|
CONSISTENT
|
53
|
1440.051644
|
-12.628740
|
-46.479111
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
54
|
1467.222429
|
0.351524
|
1.293756
|
CONSISTENT
|
54
|
1467.222429
|
0.351524
|
1.293756
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
56
|
1521.564001
|
0.587628
|
2.162719
|
CONSISTENT
|
56
|
1521.564001
|
0.587628
|
2.162719
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
57
|
1548.734786
|
-5.812274
|
-21.391629
|
CONSISTENT
|
57
|
1548.734786
|
-5.812274
|
-21.391629
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
59
|
1603.076358
|
2.967877
|
10.923046
|
INCONSISTENT
|
58
|
1575.905572
|
-24.202908
|
-89.076954
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
59
|
1603.076358
|
-9.668924
|
-35.585734
|
INCONSISTENT
|
60
|
1630.247144
|
17.501862
|
64.414266
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
60
|
1630.247144
|
5.882798
|
21.651189
|
CONSISTENT
|
60
|
1630.247144
|
5.882798
|
21.651189
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
61
|
1657.417929
|
3.203981
|
11.792009
|
INCONSISTENT
|
60
|
1630.247144
|
-23.966804
|
-88.207991
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
61
|
1657.417929
|
-5.366502
|
-19.750999
|
CONSISTENT
|
61
|
1657.417929
|
-5.366502
|
-19.750999
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
63
|
1711.759501
|
11.338065
|
41.728880
|
CONSISTENT
|
63
|
1711.759501
|
11.338065
|
41.728880
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
65
|
1766.101072
|
11.574169
|
42.597843
|
CONSISTENT
|
65
|
1766.101072
|
11.574169
|
42.597843
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
65
|
1766.101072
|
-2.616354
|
-9.629290
|
INCONSISTENT
|
66
|
1793.271858
|
24.554432
|
90.370710
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
65
|
1766.101072
|
-12.141737
|
-44.686735
|
CONSISTENT
|
65
|
1766.101072
|
-12.141737
|
-44.686735
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
67
|
1820.442644
|
6.163797
|
22.685385
|
CONSISTENT
|
67
|
1820.442644
|
6.163797
|
22.685385
|
31
|
3/1
|
1901.955001
|
cP5
|
70
|
1901.955001
|
0
|
0
|
CONSISTENT
|
70
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales