User:Contribution/JI intervals approximated by 77edt
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77edt divides the tritave in 77 equal steps and the octave in 48.581591 equal steps of 24.700714 cents each. Its 31-limit patent val is <49 77 113 136 168 180 199 206 220 236 241|.
| 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
|
24.700714
|
10.510192
|
42.550153
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-57.449847
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
98.802857
|
11.126703
|
45.046076
|
CONSISTENT
|
4
|
98.802857
|
11.126703
|
45.046076
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
123.503571
|
-0.208620
|
-0.844591
|
CONSISTENT
|
5
|
123.503571
|
-0.208620
|
-0.844591
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
123.503571
|
-9.734003
|
-39.407781
|
CONSISTENT
|
5
|
123.503571
|
-9.734003
|
-39.407781
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
148.204286
|
0.776188
|
3.142372
|
INCONSISTENT
|
5
|
123.503571
|
-23.924526
|
-96.857628
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
197.605714
|
-3.927850
|
-15.901768
|
CONSISTENT
|
8
|
197.605714
|
-3.927850
|
-15.901768
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
247.007143
|
7.836573
|
31.726099
|
CONSISTENT
|
10
|
247.007143
|
7.836573
|
31.726099
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
247.007143
|
-0.733910
|
-2.971210
|
CONSISTENT
|
10
|
247.007143
|
-0.733910
|
-2.971210
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
271.707857
|
-5.882798
|
-23.816307
|
CONSISTENT
|
11
|
271.707857
|
-5.882798
|
-23.816307
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
12
|
296.408572
|
7.198852
|
29.144308
|
CONSISTENT
|
12
|
296.408572
|
7.198852
|
29.144308
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
12
|
296.408572
|
-5.437949
|
-22.015351
|
INCONSISTENT
|
13
|
321.109286
|
19.262765
|
77.984649
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
14
|
345.810000
|
-1.597940
|
-6.469208
|
CONSISTENT
|
14
|
345.810000
|
-1.597940
|
-6.469208
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
15
|
370.510714
|
-10.467913
|
-42.378991
|
CONSISTENT
|
15
|
370.510714
|
-10.467913
|
-42.378991
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
18
|
444.612857
|
9.528762
|
38.576869
|
CONSISTENT
|
18
|
444.612857
|
9.528762
|
38.576869
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
18
|
444.612857
|
-4.661760
|
-18.872978
|
CONSISTENT
|
18
|
444.612857
|
-4.661760
|
-18.872978
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
22
|
543.415715
|
6.464942
|
26.173098
|
CONSISTENT
|
22
|
543.415715
|
6.464942
|
26.173098
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
23
|
568.116429
|
-0.205241
|
-0.830912
|
CONSISTENT
|
23
|
568.116429
|
-0.205241
|
-0.830912
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
24
|
592.817143
|
10.304951
|
41.719241
|
INCONSISTENT
|
23
|
568.116429
|
-14.395764
|
-58.280759
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
24
|
592.817143
|
-3.885572
|
-15.730606
|
INCONSISTENT
|
23
|
568.116429
|
-28.586286
|
-115.730606
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
25
|
617.517857
|
9.165871
|
37.107716
|
CONSISTENT
|
25
|
617.517857
|
9.165871
|
37.107716
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
25
|
617.517857
|
-11.201823
|
-45.350200
|
CONSISTENT
|
25
|
617.517857
|
-11.201823
|
-45.350200
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
26
|
642.218572
|
5.600912
|
22.675100
|
CONSISTENT
|
26
|
642.218572
|
5.600912
|
22.675100
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
27
|
666.919286
|
-3.269061
|
-13.234683
|
CONSISTENT
|
27
|
666.919286
|
-3.269061
|
-13.234683
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
28
|
691.620000
|
-3.195881
|
-12.938415
|
CONSISTENT
|
28
|
691.620000
|
-3.195881
|
-12.938415
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
30
|
741.021429
|
-10.099709
|
-40.888329
|
INCONSISTENT
|
31
|
765.722143
|
14.601005
|
59.111671
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
32
|
790.422858
|
7.930822
|
32.107661
|
CONSISTENT
|
32
|
790.422858
|
7.930822
|
32.107661
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
32
|
790.422858
|
-10.486736
|
-42.455192
|
CONSISTENT
|
32
|
790.422858
|
-10.486736
|
-42.455192
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
34
|
839.824286
|
9.571041
|
38.748031
|
INCONSISTENT
|
33
|
815.123572
|
-15.129674
|
-61.251969
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
35
|
864.525000
|
-5.643190
|
-22.846263
|
INCONSISTENT
|
36
|
889.225715
|
19.057524
|
77.153737
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
36
|
889.225715
|
4.867002
|
19.703890
|
CONSISTENT
|
36
|
889.225715
|
4.867002
|
19.703890
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
37
|
913.926429
|
-4.002971
|
-16.205892
|
CONSISTENT
|
37
|
913.926429
|
-4.002971
|
-16.205892
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
40
|
988.028572
|
4.002971
|
16.205892
|
CONSISTENT
|
40
|
988.028572
|
4.002971
|
16.205892
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
41
|
1012.729286
|
-4.867002
|
-19.703890
|
CONSISTENT
|
41
|
1012.729286
|
-4.867002
|
-19.703890
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
42
|
1037.430000
|
5.643190
|
22.846263
|
INCONSISTENT
|
41
|
1012.729286
|
-19.057524
|
-77.153737
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
43
|
1062.130715
|
-9.571041
|
-38.748031
|
INCONSISTENT
|
44
|
1086.831429
|
15.129674
|
61.251969
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
45
|
1111.532143
|
10.486736
|
42.455192
|
CONSISTENT
|
45
|
1111.532143
|
10.486736
|
42.455192
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
45
|
1111.532143
|
-7.930822
|
-32.107661
|
CONSISTENT
|
45
|
1111.532143
|
-7.930822
|
-32.107661
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
47
|
1160.933572
|
10.099709
|
40.888329
|
INCONSISTENT
|
46
|
1136.232858
|
-14.601005
|
-59.111671
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
49
|
1210.335001
|
3.195881
|
12.938415
|
CONSISTENT
|
49
|
1210.335001
|
3.195881
|
12.938415
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
50
|
1235.035715
|
3.269061
|
13.234683
|
CONSISTENT
|
50
|
1235.035715
|
3.269061
|
13.234683
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
51
|
1259.736429
|
-5.600912
|
-22.675100
|
CONSISTENT
|
51
|
1259.736429
|
-5.600912
|
-22.675100
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
52
|
1284.437143
|
11.201823
|
45.350200
|
CONSISTENT
|
52
|
1284.437143
|
11.201823
|
45.350200
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
52
|
1284.437143
|
-9.165871
|
-37.107716
|
CONSISTENT
|
52
|
1284.437143
|
-9.165871
|
-37.107716
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
53
|
1309.137858
|
-10.304951
|
-41.719241
|
INCONSISTENT
|
54
|
1333.838572
|
14.395764
|
58.280759
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
54
|
1333.838572
|
0.205241
|
0.830912
|
CONSISTENT
|
54
|
1333.838572
|
0.205241
|
0.830912
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
55
|
1358.539286
|
-6.464942
|
-26.173098
|
CONSISTENT
|
55
|
1358.539286
|
-6.464942
|
-26.173098
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
59
|
1457.342144
|
4.661760
|
18.872978
|
CONSISTENT
|
59
|
1457.342144
|
4.661760
|
18.872978
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
59
|
1457.342144
|
-9.528762
|
-38.576869
|
CONSISTENT
|
59
|
1457.342144
|
-9.528762
|
-38.576869
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
62
|
1531.444286
|
10.467913
|
42.378991
|
CONSISTENT
|
62
|
1531.444286
|
10.467913
|
42.378991
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
63
|
1556.145001
|
1.597940
|
6.469208
|
CONSISTENT
|
63
|
1556.145001
|
1.597940
|
6.469208
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
65
|
1605.546429
|
5.437949
|
22.015351
|
INCONSISTENT
|
64
|
1580.845715
|
-19.262765
|
-77.984649
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
65
|
1605.546429
|
-7.198852
|
-29.144308
|
CONSISTENT
|
65
|
1605.546429
|
-7.198852
|
-29.144308
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
66
|
1630.247144
|
5.882798
|
23.816307
|
CONSISTENT
|
66
|
1630.247144
|
5.882798
|
23.816307
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
67
|
1654.947858
|
0.733910
|
2.971210
|
CONSISTENT
|
67
|
1654.947858
|
0.733910
|
2.971210
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
67
|
1654.947858
|
-7.836573
|
-31.726099
|
CONSISTENT
|
67
|
1654.947858
|
-7.836573
|
-31.726099
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
69
|
1704.349286
|
3.927850
|
15.901768
|
CONSISTENT
|
69
|
1704.349286
|
3.927850
|
15.901768
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
71
|
1753.750715
|
-0.776188
|
-3.142372
|
INCONSISTENT
|
72
|
1778.451429
|
23.924526
|
96.857628
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
72
|
1778.451429
|
9.734003
|
39.407781
|
CONSISTENT
|
72
|
1778.451429
|
9.734003
|
39.407781
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
72
|
1778.451429
|
0.208620
|
0.844591
|
CONSISTENT
|
72
|
1778.451429
|
0.208620
|
0.844591
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
73
|
1803.152144
|
-11.126703
|
-45.046076
|
CONSISTENT
|
73
|
1803.152144
|
-11.126703
|
-45.046076
|
31
|
3/1
|
1901.955001
|
cP5
|
77
|
1901.955001
|
0
|
0
|
CONSISTENT
|
77
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales