User:Contribution/JI intervals approximated by 24edt
Jump to navigation
Jump to search
24edt divides the tritave in 24 equal steps and the octave in 15.142314 equal steps of 79.248125 cents each. Its 31-limit patent val is <15 24 35 43 52 56 62 64 68 74 75|.
| 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
|
-17.906446
|
INCONSISTENT
|
1
|
79.248125
|
65.057603
|
82.093554
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
79.248125
|
-8.428030
|
-10.634989
|
CONSISTENT
|
1
|
79.248125
|
-8.428030
|
-10.634989
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
158.496250
|
34.784059
|
43.892595
|
CONSISTENT
|
2
|
158.496250
|
34.784059
|
43.892595
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
158.496250
|
25.258675
|
31.872899
|
CONSISTENT
|
2
|
158.496250
|
25.258675
|
31.872899
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
2
|
158.496250
|
11.068153
|
13.966454
|
INCONSISTENT
|
3
|
237.744375
|
90.316278
|
113.966454
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
3
|
237.744375
|
36.210810
|
45.692955
|
CONSISTENT
|
3
|
237.744375
|
36.210810
|
45.692955
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
3
|
237.744375
|
-1.426195
|
-1.799657
|
CONSISTENT
|
3
|
237.744375
|
-1.426195
|
-1.799657
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
3
|
237.744375
|
-9.996678
|
-12.614403
|
CONSISTENT
|
3
|
237.744375
|
-9.996678
|
-12.614403
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
4
|
316.992500
|
39.401845
|
49.719592
|
CONSISTENT
|
4
|
316.992500
|
39.401845
|
49.719592
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
4
|
316.992500
|
27.782781
|
35.057966
|
CONSISTENT
|
4
|
316.992500
|
27.782781
|
35.057966
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
4
|
316.992500
|
15.145980
|
19.112099
|
INCONSISTENT
|
3
|
237.744375
|
-64.102145
|
-80.887901
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
4
|
316.992500
|
-30.415440
|
-38.380013
|
CONSISTENT
|
4
|
316.992500
|
-30.415440
|
-38.380013
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
5
|
396.240625
|
15.261997
|
19.258496
|
CONSISTENT
|
5
|
396.240625
|
15.261997
|
19.258496
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
5
|
396.240625
|
-38.843470
|
-49.015002
|
CONSISTENT
|
5
|
396.240625
|
-38.843470
|
-49.015002
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
6
|
475.488750
|
26.214132
|
33.078552
|
CONSISTENT
|
6
|
475.488750
|
26.214132
|
33.078552
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
7
|
554.736875
|
17.786103
|
22.443563
|
CONSISTENT
|
7
|
554.736875
|
17.786103
|
22.443563
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
7
|
554.736875
|
-13.584795
|
-17.142103
|
CONSISTENT
|
7
|
554.736875
|
-13.584795
|
-17.142103
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
7
|
554.736875
|
-27.775317
|
-35.048548
|
INCONSISTENT
|
8
|
633.985000
|
51.472808
|
64.951452
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
8
|
633.985000
|
37.282285
|
47.045006
|
INCONSISTENT
|
9
|
713.233125
|
116.530410
|
147.045006
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
8
|
633.985000
|
25.633014
|
32.345262
|
CONSISTENT
|
8
|
633.985000
|
25.633014
|
32.345262
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
8
|
633.985000
|
5.265320
|
6.644093
|
CONSISTENT
|
8
|
633.985000
|
5.265320
|
6.644093
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
8
|
633.985000
|
-2.632660
|
-3.322047
|
CONSISTENT
|
8
|
633.985000
|
-2.632660
|
-3.322047
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
8
|
633.985000
|
-36.203347
|
-45.683538
|
INCONSISTENT
|
9
|
713.233125
|
43.044778
|
54.316462
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
9
|
713.233125
|
18.417244
|
23.239975
|
INCONSISTENT
|
8
|
633.985000
|
-60.830881
|
-76.760025
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
9
|
713.233125
|
-37.888013
|
-47.809349
|
CONSISTENT
|
9
|
713.233125
|
-37.888013
|
-47.809349
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
10
|
792.481250
|
9.989214
|
12.604985
|
INCONSISTENT
|
9
|
713.233125
|
-69.258911
|
-87.395015
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
10
|
792.481250
|
-8.428343
|
-10.635384
|
CONSISTENT
|
10
|
792.481250
|
-8.428343
|
-10.635384
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
10
|
792.481250
|
-37.771995
|
-47.662951
|
INCONSISTENT
|
11
|
871.729375
|
41.476130
|
52.337049
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
11
|
871.729375
|
1.561185
|
1.969996
|
INCONSISTENT
|
10
|
792.481250
|
-77.686940
|
-98.030004
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
11
|
871.729375
|
-12.629338
|
-15.936450
|
CONSISTENT
|
11
|
871.729375
|
-12.629338
|
-15.936450
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
12
|
950.977500
|
33.048100
|
41.702059
|
CONSISTENT
|
12
|
950.977500
|
33.048100
|
41.702059
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
12
|
950.977500
|
-33.048100
|
-41.702059
|
CONSISTENT
|
12
|
950.977500
|
-33.048100
|
-41.702059
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
13
|
1030.225625
|
12.629338
|
15.936450
|
CONSISTENT
|
13
|
1030.225625
|
12.629338
|
15.936450
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
13
|
1030.225625
|
-1.561185
|
-1.969996
|
INCONSISTENT
|
14
|
1109.473751
|
77.686940
|
98.030004
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
14
|
1109.473751
|
37.771995
|
47.662951
|
INCONSISTENT
|
13
|
1030.225625
|
-41.476130
|
-52.337049
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
14
|
1109.473751
|
8.428343
|
10.635384
|
CONSISTENT
|
14
|
1109.473751
|
8.428343
|
10.635384
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
14
|
1109.473751
|
-9.989214
|
-12.604985
|
INCONSISTENT
|
15
|
1188.721876
|
69.258911
|
87.395015
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
15
|
1188.721876
|
37.888013
|
47.809349
|
CONSISTENT
|
15
|
1188.721876
|
37.888013
|
47.809349
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
15
|
1188.721876
|
-18.417244
|
-23.239975
|
INCONSISTENT
|
16
|
1267.970001
|
60.830881
|
76.760025
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
16
|
1267.970001
|
36.203347
|
45.683538
|
INCONSISTENT
|
15
|
1188.721876
|
-43.044778
|
-54.316462
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
16
|
1267.970001
|
2.632660
|
3.322047
|
CONSISTENT
|
16
|
1267.970001
|
2.632660
|
3.322047
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
16
|
1267.970001
|
-5.265320
|
-6.644093
|
CONSISTENT
|
16
|
1267.970001
|
-5.265320
|
-6.644093
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
16
|
1267.970001
|
-25.633014
|
-32.345262
|
CONSISTENT
|
16
|
1267.970001
|
-25.633014
|
-32.345262
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
17
|
1347.218126
|
27.775317
|
35.048548
|
INCONSISTENT
|
16
|
1267.970001
|
-51.472808
|
-64.951452
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
17
|
1347.218126
|
13.584795
|
17.142103
|
CONSISTENT
|
17
|
1347.218126
|
13.584795
|
17.142103
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
17
|
1347.218126
|
-17.786103
|
-22.443563
|
CONSISTENT
|
17
|
1347.218126
|
-17.786103
|
-22.443563
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
18
|
1426.466251
|
-26.214132
|
-33.078552
|
CONSISTENT
|
18
|
1426.466251
|
-26.214132
|
-33.078552
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
19
|
1505.714376
|
38.843470
|
49.015002
|
CONSISTENT
|
19
|
1505.714376
|
38.843470
|
49.015002
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
19
|
1505.714376
|
-15.261997
|
-19.258496
|
CONSISTENT
|
19
|
1505.714376
|
-15.261997
|
-19.258496
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
20
|
1584.962501
|
30.415440
|
38.380013
|
CONSISTENT
|
20
|
1584.962501
|
30.415440
|
38.380013
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
20
|
1584.962501
|
-15.145980
|
-19.112099
|
INCONSISTENT
|
21
|
1664.210626
|
64.102145
|
80.887901
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
20
|
1584.962501
|
-27.782781
|
-35.057966
|
CONSISTENT
|
20
|
1584.962501
|
-27.782781
|
-35.057966
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
20
|
1584.962501
|
-39.401845
|
-49.719592
|
CONSISTENT
|
20
|
1584.962501
|
-39.401845
|
-49.719592
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
21
|
1664.210626
|
9.996678
|
12.614403
|
CONSISTENT
|
21
|
1664.210626
|
9.996678
|
12.614403
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
21
|
1664.210626
|
1.426195
|
1.799657
|
CONSISTENT
|
21
|
1664.210626
|
1.426195
|
1.799657
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
21
|
1664.210626
|
-36.210810
|
-45.692955
|
CONSISTENT
|
21
|
1664.210626
|
-36.210810
|
-45.692955
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
22
|
1743.458751
|
-11.068153
|
-13.966454
|
INCONSISTENT
|
21
|
1664.210626
|
-90.316278
|
-113.966454
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
22
|
1743.458751
|
-25.258675
|
-31.872899
|
CONSISTENT
|
22
|
1743.458751
|
-25.258675
|
-31.872899
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
22
|
1743.458751
|
-34.784059
|
-43.892595
|
CONSISTENT
|
22
|
1743.458751
|
-34.784059
|
-43.892595
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
23
|
1822.706876
|
8.428030
|
10.634989
|
CONSISTENT
|
23
|
1822.706876
|
8.428030
|
10.634989
|
31
|
3/1
|
1901.955001
|
cP5
|
24
|
1901.955001
|
0
|
0
|
CONSISTENT
|
24
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales