User:Contribution/JI intervals approximated by 73edt
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73edt divides the tritave in 73 equal steps and the octave in 46.057872 equal steps of 26.054178 cents each. Its 31-limit patent val is <46 73 107 129 159 170 188 196 208 224 228|.
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
|
26.054178
|
11.863656
|
45.534561
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-54.465439
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
78.162534
|
-9.513620
|
-36.514759
|
INCONSISTENT
|
4
|
104.216712
|
16.540558
|
63.485241
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
130.270890
|
6.558699
|
25.173310
|
CONSISTENT
|
5
|
130.270890
|
6.558699
|
25.173310
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
130.270890
|
-2.966684
|
-11.386598
|
CONSISTENT
|
5
|
130.270890
|
-2.966684
|
-11.386598
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
156.325069
|
8.896971
|
34.147963
|
INCONSISTENT
|
5
|
130.270890
|
-17.157207
|
-65.852037
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
208.433425
|
6.899860
|
26.482739
|
INCONSISTENT
|
7
|
182.379247
|
-19.154318
|
-73.517261
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
234.487603
|
-4.682967
|
-17.973958
|
CONSISTENT
|
9
|
234.487603
|
-4.682967
|
-17.973958
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
260.541781
|
12.800728
|
49.131191
|
CONSISTENT
|
10
|
260.541781
|
12.800728
|
49.131191
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
286.595959
|
9.005304
|
34.563760
|
CONSISTENT
|
11
|
286.595959
|
9.005304
|
34.563760
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
11
|
286.595959
|
-2.613760
|
-10.032020
|
CONSISTENT
|
11
|
286.595959
|
-2.613760
|
-10.032020
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
12
|
312.650137
|
10.803617
|
41.465966
|
CONSISTENT
|
12
|
312.650137
|
10.803617
|
41.465966
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
13
|
338.704315
|
-8.703625
|
-33.405872
|
CONSISTENT
|
13
|
338.704315
|
-8.703625
|
-33.405872
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
15
|
390.812671
|
9.834044
|
37.744593
|
CONSISTENT
|
15
|
390.812671
|
9.834044
|
37.744593
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
17
|
442.921028
|
7.836932
|
30.079369
|
CONSISTENT
|
17
|
442.921028
|
7.836932
|
30.079369
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
17
|
442.921028
|
-6.353590
|
-24.386070
|
CONSISTENT
|
17
|
442.921028
|
-6.353590
|
-24.386070
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
21
|
547.137740
|
10.186968
|
39.099171
|
CONSISTENT
|
21
|
547.137740
|
10.186968
|
39.099171
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
22
|
573.191918
|
4.870248
|
18.692771
|
CONSISTENT
|
22
|
573.191918
|
4.870248
|
18.692771
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
22
|
573.191918
|
-9.320275
|
-35.772668
|
CONSISTENT
|
22
|
573.191918
|
-9.320275
|
-35.772668
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
23
|
599.246096
|
2.543381
|
9.761893
|
INCONSISTENT
|
22
|
573.191918
|
-23.510797
|
-90.238107
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
23
|
599.246096
|
-9.105890
|
-34.949828
|
CONSISTENT
|
23
|
599.246096
|
-9.105890
|
-34.949828
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
24
|
625.300274
|
-3.419407
|
-13.124216
|
INCONSISTENT
|
25
|
651.354452
|
22.634772
|
86.875784
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
24
|
625.300274
|
-11.317386
|
-43.437892
|
CONSISTENT
|
24
|
625.300274
|
-11.317386
|
-43.437892
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
26
|
677.408630
|
7.220283
|
27.712573
|
CONSISTENT
|
26
|
677.408630
|
7.220283
|
27.712573
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
27
|
703.462809
|
8.646927
|
33.188256
|
INCONSISTENT
|
26
|
677.408630
|
-17.407251
|
-66.811744
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
29
|
755.571165
|
4.450027
|
17.079896
|
CONSISTENT
|
29
|
755.571165
|
4.450027
|
17.079896
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
30
|
781.625343
|
-0.866693
|
-3.326503
|
CONSISTENT
|
30
|
781.625343
|
-0.866693
|
-3.326503
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
31
|
807.679521
|
6.769928
|
25.984039
|
CONSISTENT
|
31
|
807.679521
|
6.769928
|
25.984039
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
32
|
833.733699
|
3.480453
|
13.358523
|
CONSISTENT
|
32
|
833.733699
|
3.480453
|
13.358523
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
33
|
859.787877
|
-10.380313
|
-39.841262
|
INCONSISTENT
|
34
|
885.842055
|
15.673865
|
60.158738
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
34
|
885.842055
|
1.483342
|
5.693299
|
CONSISTENT
|
34
|
885.842055
|
1.483342
|
5.693299
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
35
|
911.896233
|
-6.033167
|
-23.156236
|
INCONSISTENT
|
36
|
937.950411
|
20.021011
|
76.843764
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
38
|
990.058768
|
6.033167
|
23.156236
|
INCONSISTENT
|
37
|
964.004589
|
-20.021011
|
-76.843764
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
39
|
1016.112946
|
-1.483342
|
-5.693299
|
CONSISTENT
|
39
|
1016.112946
|
-1.483342
|
-5.693299
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
40
|
1042.167124
|
10.380313
|
39.841262
|
INCONSISTENT
|
39
|
1016.112946
|
-15.673865
|
-60.158738
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
41
|
1068.221302
|
-3.480453
|
-13.358523
|
CONSISTENT
|
41
|
1068.221302
|
-3.480453
|
-13.358523
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
42
|
1094.275480
|
-6.769928
|
-25.984039
|
CONSISTENT
|
42
|
1094.275480
|
-6.769928
|
-25.984039
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
43
|
1120.329658
|
0.866693
|
3.326503
|
CONSISTENT
|
43
|
1120.329658
|
0.866693
|
3.326503
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
44
|
1146.383836
|
-4.450027
|
-17.079896
|
CONSISTENT
|
44
|
1146.383836
|
-4.450027
|
-17.079896
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
46
|
1198.492192
|
-8.646927
|
-33.188256
|
INCONSISTENT
|
47
|
1224.546370
|
17.407251
|
66.811744
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
47
|
1224.546370
|
-7.220283
|
-27.712573
|
CONSISTENT
|
47
|
1224.546370
|
-7.220283
|
-27.712573
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
49
|
1276.654727
|
11.317386
|
43.437892
|
CONSISTENT
|
49
|
1276.654727
|
11.317386
|
43.437892
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
49
|
1276.654727
|
3.419407
|
13.124216
|
INCONSISTENT
|
48
|
1250.600549
|
-22.634772
|
-86.875784
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
50
|
1302.708905
|
9.105890
|
34.949828
|
CONSISTENT
|
50
|
1302.708905
|
9.105890
|
34.949828
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
51
|
1328.763083
|
9.320275
|
35.772668
|
CONSISTENT
|
51
|
1328.763083
|
9.320275
|
35.772668
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
51
|
1328.763083
|
-4.870248
|
-18.692771
|
CONSISTENT
|
51
|
1328.763083
|
-4.870248
|
-18.692771
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
52
|
1354.817261
|
-10.186968
|
-39.099171
|
CONSISTENT
|
52
|
1354.817261
|
-10.186968
|
-39.099171
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
56
|
1459.033973
|
6.353590
|
24.386070
|
CONSISTENT
|
56
|
1459.033973
|
6.353590
|
24.386070
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
56
|
1459.033973
|
-7.836932
|
-30.079369
|
CONSISTENT
|
56
|
1459.033973
|
-7.836932
|
-30.079369
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
58
|
1511.142329
|
-9.834044
|
-37.744593
|
CONSISTENT
|
58
|
1511.142329
|
-9.834044
|
-37.744593
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
60
|
1563.250686
|
8.703625
|
33.405872
|
CONSISTENT
|
60
|
1563.250686
|
8.703625
|
33.405872
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
61
|
1589.304864
|
-10.803617
|
-41.465966
|
CONSISTENT
|
61
|
1589.304864
|
-10.803617
|
-41.465966
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
62
|
1615.359042
|
2.613760
|
10.032020
|
CONSISTENT
|
62
|
1615.359042
|
2.613760
|
10.032020
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
62
|
1615.359042
|
-9.005304
|
-34.563760
|
CONSISTENT
|
62
|
1615.359042
|
-9.005304
|
-34.563760
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
63
|
1641.413220
|
-12.800728
|
-49.131191
|
CONSISTENT
|
63
|
1641.413220
|
-12.800728
|
-49.131191
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
64
|
1667.467398
|
4.682967
|
17.973958
|
CONSISTENT
|
64
|
1667.467398
|
4.682967
|
17.973958
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
65
|
1693.521576
|
-6.899860
|
-26.482739
|
INCONSISTENT
|
66
|
1719.575754
|
19.154318
|
73.517261
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
67
|
1745.629932
|
-8.896971
|
-34.147963
|
INCONSISTENT
|
68
|
1771.684110
|
17.157207
|
65.852037
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
68
|
1771.684110
|
2.966684
|
11.386598
|
CONSISTENT
|
68
|
1771.684110
|
2.966684
|
11.386598
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
68
|
1771.684110
|
-6.558699
|
-25.173310
|
CONSISTENT
|
68
|
1771.684110
|
-6.558699
|
-25.173310
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
70
|
1823.792467
|
9.513620
|
36.514759
|
INCONSISTENT
|
69
|
1797.738288
|
-16.540558
|
-63.485241
|
31
|
3/1
|
1901.955001
|
cP5
|
73
|
1901.955001
|
0
|
0
|
CONSISTENT
|
73
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales