User:Contribution/JI intervals approximated by 47edt
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47edt divides the tritave in 47 equal steps and the octave in 29.653698 equal steps of 40.467128 cents each. Its 31-limit patent val is <30 47 69 83 103 110 121 126 134 144 147|.
| 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
|
-35.066789
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-35.066789
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
80.934255
|
-6.741899
|
-16.660187
|
CONSISTENT
|
2
|
80.934255
|
-6.741899
|
-16.660187
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
3
|
121.401383
|
-2.310809
|
-5.710335
|
CONSISTENT
|
3
|
121.401383
|
-2.310809
|
-5.710335
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
3
|
121.401383
|
-11.836192
|
-29.248905
|
CONSISTENT
|
3
|
121.401383
|
-11.836192
|
-29.248905
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
161.868511
|
14.440413
|
35.684305
|
INCONSISTENT
|
3
|
121.401383
|
-26.026714
|
-64.315695
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
5
|
202.335638
|
0.802074
|
1.982037
|
CONSISTENT
|
5
|
202.335638
|
0.802074
|
1.982037
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
6
|
242.802766
|
3.632196
|
8.975671
|
CONSISTENT
|
6
|
242.802766
|
3.632196
|
8.975671
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
6
|
242.802766
|
-4.938287
|
-12.203206
|
CONSISTENT
|
6
|
242.802766
|
-4.938287
|
-12.203206
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
7
|
283.269894
|
5.679238
|
14.034202
|
CONSISTENT
|
7
|
283.269894
|
5.679238
|
14.034202
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
7
|
283.269894
|
-5.939826
|
-14.678150
|
CONSISTENT
|
7
|
283.269894
|
-5.939826
|
-14.678150
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
7
|
283.269894
|
-18.576627
|
-45.905474
|
INCONSISTENT
|
8
|
323.737021
|
21.890501
|
54.094526
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
9
|
364.204149
|
16.796208
|
41.505808
|
CONSISTENT
|
9
|
364.204149
|
16.796208
|
41.505808
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
9
|
364.204149
|
-16.774479
|
-41.452111
|
CONSISTENT
|
9
|
364.204149
|
-16.774479
|
-41.452111
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
11
|
445.138404
|
10.054309
|
24.845621
|
CONSISTENT
|
11
|
445.138404
|
10.054309
|
24.845621
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
11
|
445.138404
|
-4.136213
|
-10.221168
|
CONSISTENT
|
11
|
445.138404
|
-4.136213
|
-10.221168
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
13
|
526.072660
|
-10.878113
|
-26.881356
|
CONSISTENT
|
13
|
526.072660
|
-10.878113
|
-26.881356
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
14
|
566.539787
|
-1.781883
|
-4.403284
|
CONSISTENT
|
14
|
566.539787
|
-1.781883
|
-4.403284
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
14
|
566.539787
|
-15.972405
|
-39.470074
|
CONSISTENT
|
14
|
566.539787
|
-15.972405
|
-39.470074
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
15
|
607.006915
|
10.304200
|
25.463137
|
INCONSISTENT
|
14
|
566.539787
|
-30.162928
|
-74.536863
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
15
|
607.006915
|
-1.345071
|
-3.323862
|
CONSISTENT
|
15
|
607.006915
|
-1.345071
|
-3.323862
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
16
|
647.474043
|
18.754362
|
46.344683
|
INCONSISTENT
|
15
|
607.006915
|
-21.712766
|
-53.655317
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
16
|
647.474043
|
10.856383
|
26.827658
|
CONSISTENT
|
16
|
647.474043
|
10.856383
|
26.827658
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
17
|
687.941171
|
17.752823
|
43.869739
|
INCONSISTENT
|
16
|
647.474043
|
-22.714304
|
-56.130261
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
17
|
687.941171
|
-6.874711
|
-16.988383
|
INCONSISTENT
|
18
|
728.408298
|
33.592417
|
83.011617
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
19
|
768.875426
|
17.754288
|
43.873358
|
CONSISTENT
|
19
|
768.875426
|
17.754288
|
43.873358
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
19
|
768.875426
|
-13.616610
|
-33.648571
|
INCONSISTENT
|
20
|
809.342554
|
26.850518
|
66.351429
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
20
|
809.342554
|
8.432960
|
20.839039
|
CONSISTENT
|
20
|
809.342554
|
8.432960
|
20.839039
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
21
|
849.809681
|
19.556436
|
48.326720
|
INCONSISTENT
|
20
|
809.342554
|
-20.910692
|
-51.673280
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
22
|
890.276809
|
20.108618
|
49.691242
|
CONSISTENT
|
22
|
890.276809
|
20.108618
|
49.691242
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
22
|
890.276809
|
5.918096
|
14.624453
|
CONSISTENT
|
22
|
890.276809
|
5.918096
|
14.624453
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
23
|
930.743937
|
12.814536
|
31.666533
|
INCONSISTENT
|
22
|
890.276809
|
-27.652591
|
-68.333467
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
24
|
971.211064
|
-12.814536
|
-31.666533
|
INCONSISTENT
|
25
|
1011.678192
|
27.652591
|
68.333467
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
25
|
1011.678192
|
-5.918096
|
-14.624453
|
CONSISTENT
|
25
|
1011.678192
|
-5.918096
|
-14.624453
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
25
|
1011.678192
|
-20.108618
|
-49.691242
|
CONSISTENT
|
25
|
1011.678192
|
-20.108618
|
-49.691242
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
26
|
1052.145320
|
-19.556436
|
-48.326720
|
INCONSISTENT
|
27
|
1092.612447
|
20.910692
|
51.673280
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
27
|
1092.612447
|
-8.432960
|
-20.839039
|
CONSISTENT
|
27
|
1092.612447
|
-8.432960
|
-20.839039
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
28
|
1133.079575
|
13.616610
|
33.648571
|
INCONSISTENT
|
27
|
1092.612447
|
-26.850518
|
-66.351429
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
28
|
1133.079575
|
-17.754288
|
-43.873358
|
CONSISTENT
|
28
|
1133.079575
|
-17.754288
|
-43.873358
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
30
|
1214.013830
|
6.874711
|
16.988383
|
INCONSISTENT
|
29
|
1173.546703
|
-33.592417
|
-83.011617
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
30
|
1214.013830
|
-17.752823
|
-43.869739
|
INCONSISTENT
|
31
|
1254.480958
|
22.714304
|
56.130261
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
31
|
1254.480958
|
-10.856383
|
-26.827658
|
CONSISTENT
|
31
|
1254.480958
|
-10.856383
|
-26.827658
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
31
|
1254.480958
|
-18.754362
|
-46.344683
|
INCONSISTENT
|
32
|
1294.948086
|
21.712766
|
53.655317
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
32
|
1294.948086
|
1.345071
|
3.323862
|
CONSISTENT
|
32
|
1294.948086
|
1.345071
|
3.323862
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
33
|
1335.415213
|
15.972405
|
39.470074
|
CONSISTENT
|
33
|
1335.415213
|
15.972405
|
39.470074
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
33
|
1335.415213
|
1.781883
|
4.403284
|
CONSISTENT
|
33
|
1335.415213
|
1.781883
|
4.403284
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
34
|
1375.882341
|
10.878113
|
26.881356
|
CONSISTENT
|
34
|
1375.882341
|
10.878113
|
26.881356
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
36
|
1456.816596
|
4.136213
|
10.221168
|
CONSISTENT
|
36
|
1456.816596
|
4.136213
|
10.221168
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
36
|
1456.816596
|
-10.054309
|
-24.845621
|
CONSISTENT
|
36
|
1456.816596
|
-10.054309
|
-24.845621
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
38
|
1537.750852
|
16.774479
|
41.452111
|
CONSISTENT
|
38
|
1537.750852
|
16.774479
|
41.452111
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
38
|
1537.750852
|
-16.796208
|
-41.505808
|
CONSISTENT
|
38
|
1537.750852
|
-16.796208
|
-41.505808
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
40
|
1618.685107
|
18.576627
|
45.905474
|
INCONSISTENT
|
39
|
1578.217979
|
-21.890501
|
-54.094526
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
40
|
1618.685107
|
5.939826
|
14.678150
|
CONSISTENT
|
40
|
1618.685107
|
5.939826
|
14.678150
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
40
|
1618.685107
|
-5.679238
|
-14.034202
|
CONSISTENT
|
40
|
1618.685107
|
-5.679238
|
-14.034202
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
41
|
1659.152235
|
4.938287
|
12.203206
|
CONSISTENT
|
41
|
1659.152235
|
4.938287
|
12.203206
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
41
|
1659.152235
|
-3.632196
|
-8.975671
|
CONSISTENT
|
41
|
1659.152235
|
-3.632196
|
-8.975671
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
42
|
1699.619362
|
-0.802074
|
-1.982037
|
CONSISTENT
|
42
|
1699.619362
|
-0.802074
|
-1.982037
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
43
|
1740.086490
|
-14.440413
|
-35.684305
|
INCONSISTENT
|
44
|
1780.553618
|
26.026714
|
64.315695
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
44
|
1780.553618
|
11.836192
|
29.248905
|
CONSISTENT
|
44
|
1780.553618
|
11.836192
|
29.248905
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
44
|
1780.553618
|
2.310809
|
5.710335
|
CONSISTENT
|
44
|
1780.553618
|
2.310809
|
5.710335
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
45
|
1821.020746
|
6.741899
|
16.660187
|
CONSISTENT
|
45
|
1821.020746
|
6.741899
|
16.660187
|
31
|
3/1
|
1901.955001
|
cP5
|
47
|
1901.955001
|
0
|
0
|
CONSISTENT
|
47
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales