User:Contribution/JI intervals approximated by 35edt
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35edt divides the tritave in 35 equal steps and the octave in 22.082541 equal steps of 54.341571 cents each. Its 31-limit patent val is <22 35 51 62 76 82 90 94 100 107 109|.
| 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
|
0
|
0
|
-14.190522
|
-26.113567
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-26.113567
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
108.683143
|
21.006988
|
38.657307
|
CONSISTENT
|
2
|
108.683143
|
21.006988
|
38.657307
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
108.683143
|
-15.029049
|
-27.656632
|
CONSISTENT
|
2
|
108.683143
|
-15.029049
|
-27.656632
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
108.683143
|
-24.554432
|
-45.185355
|
INCONSISTENT
|
3
|
163.024714
|
29.787139
|
54.814645
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
3
|
163.024714
|
15.596617
|
28.701078
|
CONSISTENT
|
3
|
163.024714
|
15.596617
|
28.701078
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
4
|
217.366286
|
15.832721
|
29.135560
|
CONSISTENT
|
4
|
217.366286
|
15.832721
|
29.135560
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
4
|
217.366286
|
-21.804284
|
-40.124500
|
CONSISTENT
|
4
|
217.366286
|
-21.804284
|
-40.124500
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
5
|
271.707857
|
23.966804
|
44.103996
|
INCONSISTENT
|
4
|
217.366286
|
-30.374767
|
-55.896004
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
5
|
271.707857
|
-5.882798
|
-10.825594
|
CONSISTENT
|
5
|
271.707857
|
-5.882798
|
-10.825594
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
5
|
271.707857
|
-17.501862
|
-32.207133
|
INCONSISTENT
|
6
|
326.049429
|
36.839709
|
67.792867
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
6
|
326.049429
|
24.202908
|
44.538477
|
INCONSISTENT
|
5
|
271.707857
|
-30.138663
|
-55.461523
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
6
|
326.049429
|
-21.358512
|
-39.304185
|
CONSISTENT
|
6
|
326.049429
|
-21.358512
|
-39.304185
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
7
|
380.391000
|
-0.587628
|
-1.081359
|
CONSISTENT
|
7
|
380.391000
|
-0.587628
|
-1.081359
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
8
|
434.732572
|
-0.351524
|
-0.646878
|
CONSISTENT
|
8
|
434.732572
|
-0.351524
|
-0.646878
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
8
|
434.732572
|
-14.542046
|
-26.760445
|
CONSISTENT
|
8
|
434.732572
|
-14.542046
|
-26.760445
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
10
|
543.415715
|
6.464942
|
11.896863
|
CONSISTENT
|
10
|
543.415715
|
6.464942
|
11.896863
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
10
|
543.415715
|
-24.905956
|
-45.832233
|
INCONSISTENT
|
11
|
597.757286
|
29.435616
|
54.167767
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
11
|
597.757286
|
15.245093
|
28.054200
|
CONSISTENT
|
11
|
597.757286
|
15.245093
|
28.054200
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
11
|
597.757286
|
1.054571
|
1.940634
|
CONSISTENT
|
11
|
597.757286
|
1.054571
|
1.940634
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
11
|
597.757286
|
-10.594700
|
-19.496493
|
CONSISTENT
|
11
|
597.757286
|
-10.594700
|
-19.496493
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
12
|
652.098857
|
23.379177
|
43.022636
|
INCONSISTENT
|
11
|
597.757286
|
-30.962395
|
-56.977364
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
12
|
652.098857
|
15.481197
|
28.488682
|
CONSISTENT
|
12
|
652.098857
|
15.481197
|
28.488682
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
12
|
652.098857
|
-18.089490
|
-33.288492
|
INCONSISTENT
|
13
|
706.440429
|
36.252082
|
66.711508
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
13
|
706.440429
|
11.624548
|
21.391629
|
INCONSISTENT
|
12
|
652.098857
|
-42.717024
|
-78.608371
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
14
|
760.782000
|
9.660862
|
17.778032
|
INCONSISTENT
|
13
|
706.440429
|
-44.680709
|
-82.221968
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
14
|
760.782000
|
-21.710036
|
-39.951063
|
CONSISTENT
|
14
|
760.782000
|
-21.710036
|
-39.951063
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
15
|
815.123572
|
14.213979
|
26.156731
|
CONSISTENT
|
15
|
815.123572
|
14.213979
|
26.156731
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
15
|
815.123572
|
-15.129674
|
-27.841804
|
CONSISTENT
|
15
|
815.123572
|
-15.129674
|
-27.841804
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
16
|
869.465143
|
-0.703047
|
-1.293756
|
CONSISTENT
|
16
|
869.465143
|
-0.703047
|
-1.293756
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
16
|
869.465143
|
-14.893570
|
-27.407323
|
CONSISTENT
|
16
|
869.465143
|
-14.893570
|
-27.407323
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
17
|
923.806715
|
5.877315
|
10.815503
|
CONSISTENT
|
17
|
923.806715
|
5.877315
|
10.815503
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
18
|
978.148286
|
-5.877315
|
-10.815503
|
CONSISTENT
|
18
|
978.148286
|
-5.877315
|
-10.815503
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
19
|
1032.489858
|
14.893570
|
27.407323
|
CONSISTENT
|
19
|
1032.489858
|
14.893570
|
27.407323
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
19
|
1032.489858
|
0.703047
|
1.293756
|
CONSISTENT
|
19
|
1032.489858
|
0.703047
|
1.293756
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
20
|
1086.831429
|
15.129674
|
27.841804
|
CONSISTENT
|
20
|
1086.831429
|
15.129674
|
27.841804
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
20
|
1086.831429
|
-14.213979
|
-26.156731
|
CONSISTENT
|
20
|
1086.831429
|
-14.213979
|
-26.156731
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
21
|
1141.173001
|
21.710036
|
39.951063
|
CONSISTENT
|
21
|
1141.173001
|
21.710036
|
39.951063
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
21
|
1141.173001
|
-9.660862
|
-17.778032
|
INCONSISTENT
|
22
|
1195.514572
|
44.680709
|
82.221968
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
22
|
1195.514572
|
-11.624548
|
-21.391629
|
INCONSISTENT
|
23
|
1249.856143
|
42.717024
|
78.608371
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
23
|
1249.856143
|
18.089490
|
33.288492
|
INCONSISTENT
|
22
|
1195.514572
|
-36.252082
|
-66.711508
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
23
|
1249.856143
|
-15.481197
|
-28.488682
|
CONSISTENT
|
23
|
1249.856143
|
-15.481197
|
-28.488682
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
23
|
1249.856143
|
-23.379177
|
-43.022636
|
INCONSISTENT
|
24
|
1304.197715
|
30.962395
|
56.977364
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
24
|
1304.197715
|
10.594700
|
19.496493
|
CONSISTENT
|
24
|
1304.197715
|
10.594700
|
19.496493
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
24
|
1304.197715
|
-15.245093
|
-28.054200
|
CONSISTENT
|
24
|
1304.197715
|
-15.245093
|
-28.054200
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
25
|
1358.539286
|
24.905956
|
45.832233
|
INCONSISTENT
|
24
|
1304.197715
|
-29.435616
|
-54.167767
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
25
|
1358.539286
|
-6.464942
|
-11.896863
|
CONSISTENT
|
25
|
1358.539286
|
-6.464942
|
-11.896863
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
27
|
1467.222429
|
14.542046
|
26.760445
|
CONSISTENT
|
27
|
1467.222429
|
14.542046
|
26.760445
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
27
|
1467.222429
|
0.351524
|
0.646878
|
CONSISTENT
|
27
|
1467.222429
|
0.351524
|
0.646878
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
28
|
1521.564001
|
0.587628
|
1.081359
|
CONSISTENT
|
28
|
1521.564001
|
0.587628
|
1.081359
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
29
|
1575.905572
|
21.358512
|
39.304185
|
CONSISTENT
|
29
|
1575.905572
|
21.358512
|
39.304185
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
29
|
1575.905572
|
-24.202908
|
-44.538477
|
INCONSISTENT
|
30
|
1630.247144
|
30.138663
|
55.461523
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
30
|
1630.247144
|
17.501862
|
32.207133
|
INCONSISTENT
|
29
|
1575.905572
|
-36.839709
|
-67.792867
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
30
|
1630.247144
|
5.882798
|
10.825594
|
CONSISTENT
|
30
|
1630.247144
|
5.882798
|
10.825594
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
30
|
1630.247144
|
-23.966804
|
-44.103996
|
INCONSISTENT
|
31
|
1684.588715
|
30.374767
|
55.896004
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
31
|
1684.588715
|
21.804284
|
40.124500
|
CONSISTENT
|
31
|
1684.588715
|
21.804284
|
40.124500
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
31
|
1684.588715
|
-15.832721
|
-29.135560
|
CONSISTENT
|
31
|
1684.588715
|
-15.832721
|
-29.135560
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
32
|
1738.930287
|
-15.596617
|
-28.701078
|
CONSISTENT
|
32
|
1738.930287
|
-15.596617
|
-28.701078
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
33
|
1793.271858
|
24.554432
|
45.185355
|
INCONSISTENT
|
32
|
1738.930287
|
-29.787139
|
-54.814645
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
33
|
1793.271858
|
15.029049
|
27.656632
|
CONSISTENT
|
33
|
1793.271858
|
15.029049
|
27.656632
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
33
|
1793.271858
|
-21.006988
|
-38.657307
|
CONSISTENT
|
33
|
1793.271858
|
-21.006988
|
-38.657307
|
31
|
3/1
|
1901.955001
|
cP5
|
35
|
1901.955001
|
0
|
0
|
CONSISTENT
|
35
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales