User:Contribution/JI intervals approximated by 75edt
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75edt divides the tritave in 75 equal steps and the octave in 47.319732 equal steps of 25.359400 cents each. Its 31-limit patent val is <47 75 110 133 164 175 193 201 214 230 234|.
| 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
|
25.359400
|
11.168878
|
44.042357
|
CONSISTENT
|
1
|
25.359400
|
11.168878
|
44.042357
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
76.078200
|
-11.597955
|
-45.734341
|
CONSISTENT
|
3
|
76.078200
|
-11.597955
|
-45.734341
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
126.797000
|
3.084809
|
12.164359
|
CONSISTENT
|
5
|
126.797000
|
3.084809
|
12.164359
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
126.797000
|
-6.440575
|
-25.397189
|
CONSISTENT
|
5
|
126.797000
|
-6.440575
|
-25.397189
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
152.156400
|
4.728303
|
18.645168
|
CONSISTENT
|
6
|
152.156400
|
4.728303
|
18.645168
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
202.875200
|
1.341635
|
5.290485
|
CONSISTENT
|
8
|
202.875200
|
1.341635
|
5.290485
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
228.234600
|
-10.935970
|
-43.123929
|
CONSISTENT
|
9
|
228.234600
|
-10.935970
|
-43.123929
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
253.594000
|
5.852947
|
23.079991
|
CONSISTENT
|
10
|
253.594000
|
5.852947
|
23.079991
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
278.953400
|
1.362745
|
5.373727
|
CONSISTENT
|
11
|
278.953400
|
1.362745
|
5.373727
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
11
|
278.953400
|
-10.256319
|
-40.443856
|
CONSISTENT
|
11
|
278.953400
|
-10.256319
|
-40.443856
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
12
|
304.312800
|
2.466280
|
9.725308
|
CONSISTENT
|
12
|
304.312800
|
2.466280
|
9.725308
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
14
|
355.031600
|
7.623660
|
30.062460
|
CONSISTENT
|
14
|
355.031600
|
7.623660
|
30.062460
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
15
|
380.391000
|
-0.587628
|
-2.317199
|
CONSISTENT
|
15
|
380.391000
|
-0.587628
|
-2.317199
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
17
|
431.109800
|
-3.974295
|
-15.671881
|
CONSISTENT
|
17
|
431.109800
|
-3.974295
|
-15.671881
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
18
|
456.469200
|
7.194582
|
28.370476
|
CONSISTENT
|
18
|
456.469200
|
7.194582
|
28.370476
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
21
|
532.547400
|
-4.403372
|
-17.363866
|
CONSISTENT
|
21
|
532.547400
|
-4.403372
|
-17.363866
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
22
|
557.906800
|
-10.414870
|
-41.069071
|
CONSISTENT
|
22
|
557.906800
|
-10.414870
|
-41.069071
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
23
|
583.266200
|
0.754008
|
2.973287
|
CONSISTENT
|
23
|
583.266200
|
0.754008
|
2.973287
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
24
|
608.625600
|
11.922885
|
47.015644
|
CONSISTENT
|
24
|
608.625600
|
11.922885
|
47.015644
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
24
|
608.625600
|
0.273614
|
1.078944
|
CONSISTENT
|
24
|
608.625600
|
0.273614
|
1.078944
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
25
|
633.985000
|
5.265320
|
20.762792
|
CONSISTENT
|
25
|
633.985000
|
5.265320
|
20.762792
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
25
|
633.985000
|
-2.632660
|
-10.381396
|
CONSISTENT
|
25
|
633.985000
|
-2.632660
|
-10.381396
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
26
|
659.344400
|
-10.843947
|
-42.761055
|
CONSISTENT
|
26
|
659.344400
|
-10.843947
|
-42.761055
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
27
|
684.703800
|
-10.112081
|
-39.875080
|
INCONSISTENT
|
28
|
710.063200
|
15.247319
|
60.124920
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
30
|
760.782000
|
9.660862
|
38.095784
|
CONSISTENT
|
30
|
760.782000
|
9.660862
|
38.095784
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
31
|
786.141400
|
3.649364
|
14.390579
|
CONSISTENT
|
31
|
786.141400
|
3.649364
|
14.390579
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
32
|
811.500800
|
10.591207
|
41.764424
|
CONSISTENT
|
32
|
811.500800
|
10.591207
|
41.764424
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
33
|
836.860200
|
6.606955
|
26.053277
|
CONSISTENT
|
33
|
836.860200
|
6.606955
|
26.053277
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
34
|
862.219600
|
-7.948590
|
-31.343763
|
CONSISTENT
|
34
|
862.219600
|
-7.948590
|
-31.343763
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
35
|
887.579000
|
3.220287
|
12.698595
|
CONSISTENT
|
35
|
887.579000
|
3.220287
|
12.698595
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
36
|
912.938400
|
-4.991000
|
-19.681064
|
CONSISTENT
|
36
|
912.938400
|
-4.991000
|
-19.681064
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
39
|
989.016600
|
4.991000
|
19.681064
|
CONSISTENT
|
39
|
989.016600
|
4.991000
|
19.681064
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
40
|
1014.376000
|
-3.220287
|
-12.698595
|
CONSISTENT
|
40
|
1014.376000
|
-3.220287
|
-12.698595
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
41
|
1039.735400
|
7.948590
|
31.343763
|
CONSISTENT
|
41
|
1039.735400
|
7.948590
|
31.343763
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
42
|
1065.094800
|
-6.606955
|
-26.053277
|
CONSISTENT
|
42
|
1065.094800
|
-6.606955
|
-26.053277
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
43
|
1090.454200
|
-10.591207
|
-41.764424
|
CONSISTENT
|
43
|
1090.454200
|
-10.591207
|
-41.764424
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
44
|
1115.813601
|
-3.649364
|
-14.390579
|
CONSISTENT
|
44
|
1115.813601
|
-3.649364
|
-14.390579
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
45
|
1141.173001
|
-9.660862
|
-38.095784
|
CONSISTENT
|
45
|
1141.173001
|
-9.660862
|
-38.095784
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
48
|
1217.251201
|
10.112081
|
39.875080
|
INCONSISTENT
|
47
|
1191.891801
|
-15.247319
|
-60.124920
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
49
|
1242.610601
|
10.843947
|
42.761055
|
CONSISTENT
|
49
|
1242.610601
|
10.843947
|
42.761055
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
50
|
1267.970001
|
2.632660
|
10.381396
|
CONSISTENT
|
50
|
1267.970001
|
2.632660
|
10.381396
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
50
|
1267.970001
|
-5.265320
|
-20.762792
|
CONSISTENT
|
50
|
1267.970001
|
-5.265320
|
-20.762792
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
51
|
1293.329401
|
-0.273614
|
-1.078944
|
CONSISTENT
|
51
|
1293.329401
|
-0.273614
|
-1.078944
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
52
|
1318.688801
|
-0.754008
|
-2.973287
|
CONSISTENT
|
52
|
1318.688801
|
-0.754008
|
-2.973287
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
53
|
1344.048201
|
10.414870
|
41.069071
|
CONSISTENT
|
53
|
1344.048201
|
10.414870
|
41.069071
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
54
|
1369.407601
|
4.403372
|
17.363866
|
CONSISTENT
|
54
|
1369.407601
|
4.403372
|
17.363866
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
57
|
1445.485801
|
-7.194582
|
-28.370476
|
CONSISTENT
|
57
|
1445.485801
|
-7.194582
|
-28.370476
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
58
|
1470.845201
|
3.974295
|
15.671881
|
CONSISTENT
|
58
|
1470.845201
|
3.974295
|
15.671881
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
60
|
1521.564001
|
0.587628
|
2.317199
|
CONSISTENT
|
60
|
1521.564001
|
0.587628
|
2.317199
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
61
|
1546.923401
|
-7.623660
|
-30.062460
|
CONSISTENT
|
61
|
1546.923401
|
-7.623660
|
-30.062460
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
63
|
1597.642201
|
-2.466280
|
-9.725308
|
CONSISTENT
|
63
|
1597.642201
|
-2.466280
|
-9.725308
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
64
|
1623.001601
|
10.256319
|
40.443856
|
CONSISTENT
|
64
|
1623.001601
|
10.256319
|
40.443856
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
64
|
1623.001601
|
-1.362745
|
-5.373727
|
CONSISTENT
|
64
|
1623.001601
|
-1.362745
|
-5.373727
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
65
|
1648.361001
|
-5.852947
|
-23.079991
|
CONSISTENT
|
65
|
1648.361001
|
-5.852947
|
-23.079991
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
66
|
1673.720401
|
10.935970
|
43.123929
|
CONSISTENT
|
66
|
1673.720401
|
10.935970
|
43.123929
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
67
|
1699.079801
|
-1.341635
|
-5.290485
|
CONSISTENT
|
67
|
1699.079801
|
-1.341635
|
-5.290485
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
69
|
1749.798601
|
-4.728303
|
-18.645168
|
CONSISTENT
|
69
|
1749.798601
|
-4.728303
|
-18.645168
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
70
|
1775.158001
|
6.440575
|
25.397189
|
CONSISTENT
|
70
|
1775.158001
|
6.440575
|
25.397189
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
70
|
1775.158001
|
-3.084809
|
-12.164359
|
CONSISTENT
|
70
|
1775.158001
|
-3.084809
|
-12.164359
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
72
|
1825.876801
|
11.597955
|
45.734341
|
CONSISTENT
|
72
|
1825.876801
|
11.597955
|
45.734341
|
31
|
3/1
|
1901.955001
|
cP5
|
75
|
1901.955001
|
0
|
0
|
CONSISTENT
|
75
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales