User:Contribution/JI intervals approximated by 66edt

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66edt divides the tritave in 66 equal steps and the octave in 41.641364 equal steps of 28.817500 cents each. Its 31-limit patent val is <42 66 97 117 144 154 170 177 188 202 206|.

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
-49.242726
INCONSISTENT
1
28.817500
14.626978
50.757274
34⋅7-1⋅11-1
81/77
87.676155
A17,11
3
86.452500
-1.223655
-4.246220
CONSISTENT
3
86.452500
-1.223655
-4.246220
3-3⋅291
29/27
123.712192
m229
4
115.270000
-8.442192
-29.295364
CONSISTENT
4
115.270000
-8.442192
-29.295364
33⋅5-2
27/25
133.237575
m25,5
5
144.087500
10.849925
37.650473
INCONSISTENT
4
115.270000
-17.967575
-62.349527
3-2⋅5-1⋅72
49/45
147.428097
d37,75
5
144.087500
-3.340597
-11.592252
CONSISTENT
5
144.087500
-3.340597
-11.592252
3-4⋅71⋅131
91/81
201.533565
d37,13
7
201.722500
0.188935
0.655627
CONSISTENT
7
201.722500
0.188935
0.655627
3-3⋅311
31/27
239.170570
M231
8
230.540000
-8.630570
-29.949058
CONSISTENT
8
230.540000
-8.630570
-29.949058
31⋅51⋅13-1
15/13
247.741053
A2513
9
259.357500
11.616447
40.310392
CONSISTENT
9
259.357500
11.616447
40.310392
33⋅23-1
27/23
277.590655
m323
10
288.175000
10.584345
36.728879
CONSISTENT
10
288.175000
10.584345
36.728879
11-1⋅131
13/11
289.209719
m31311
10
288.175000
-1.034719
-3.590593
CONSISTENT
10
288.175000
-1.034719
-3.590593
3-1⋅52⋅7-1
25/21
301.846520
A25,57
10
288.175000
-13.671520
-47.441729
INCONSISTENT
11
316.992500
15.145980
52.558271
3-2⋅111
11/9
347.407941
m311
12
345.810000
-1.597940
-5.545035
CONSISTENT
12
345.810000
-1.597940
-5.545035
34⋅5-1⋅13-1
81/65
380.978628
M35,13
13
374.627500
-6.351128
-22.039135
CONSISTENT
13
374.627500
-6.351128
-22.039135
32⋅7-1
9/7
435.084095
M37
15
432.262500
-2.821595
-9.791256
CONSISTENT
15
432.262500
-2.821595
-9.791256
3-3⋅51⋅71
35/27
449.274618
P45,7
16
461.080000
11.805382
40.966019
CONSISTENT
16
461.080000
11.805382
40.966019
31⋅51⋅11-1
15/11
536.950772
A4511
19
547.532500
10.581728
36.719798
CONSISTENT
19
547.532500
10.581728
36.719798
35⋅5-2⋅7-1
243/175
568.321670
P45,5,7
20
576.350000
8.028330
27.859218
INCONSISTENT
19
547.532500
-20.789170
-72.140782
5-1⋅71
7/5
582.512193
d575
20
576.350000
-6.162192
-21.383508
CONSISTENT
20
576.350000
-6.162192
-21.383508
3-5⋅73
343/243
596.702715
d67,7,7
21
605.167500
8.464785
29.373767
CONSISTENT
21
605.167500
8.464785
29.373767
33⋅19-1
27/19
608.351986
A419
21
605.167500
-3.184486
-11.050529
CONSISTENT
21
605.167500
-3.184486
-11.050529
35⋅13-2
243/169
628.719681
AA413,13
22
633.985000
5.265320
18.271257
CONSISTENT
22
633.985000
5.265320
18.271257
3-2⋅131
13/9
636.617660
d513
22
633.985000
-2.632660
-9.135629
CONSISTENT
22
633.985000
-2.632660
-9.135629
34⋅5-1⋅11-1
81/55
670.188347
P55,11
23
662.802500
-7.385847
-25.629728
CONSISTENT
23
662.802500
-7.385847
-25.629728
3-4⋅112
121/81
694.815881
d511,11
24
691.620000
-3.195881
-11.090070
CONSISTENT
24
691.620000
-3.195881
-11.090070
3-4⋅53
125/81
751.121138
A55,5,5
26
749.255000
-1.866138
-6.475710
INCONSISTENT
27
778.072500
26.951362
93.524290
7-1⋅111
11/7
782.492036
P5117
27
778.072500
-4.419536
-15.336291
CONSISTENT
27
778.072500
-4.419536
-15.336291
33⋅17-1
27/17
800.909593
A517
28
806.890000
5.980407
20.752693
CONSISTENT
28
806.890000
5.980407
20.752693
31⋅71⋅13-1
21/13
830.253246
M6713
29
835.707500
5.454255
18.926884
CONSISTENT
29
835.707500
5.454255
18.926884
34⋅7-2
81/49
870.168191
A57,7
30
864.525000
-5.643190
-19.582511
CONSISTENT
30
864.525000
-5.643190
-19.582511
3-1⋅51
5/3
884.358713
M65
31
893.342500
8.983787
31.174763
CONSISTENT
31
893.342500
8.983787
31.174763
35⋅11-1⋅13-1
243/143
917.929400
A611,13
32
922.160000
4.230600
14.680664
CONSISTENT
32
922.160000
4.230600
14.680664
3-4⋅111⋅131
143/81
984.025601
d711,13
34
979.795000
-4.230600
-14.680664
CONSISTENT
34
979.795000
-4.230600
-14.680664
32⋅5-1
9/5
1017.596288
m75
35
1008.612500
-8.983787
-31.174763
CONSISTENT
35
1008.612500
-8.983787
-31.174763
3-3⋅72
49/27
1031.786810
d87,7
36
1037.430000
5.643190
19.582511
CONSISTENT
36
1037.430000
5.643190
19.582511
7-1⋅131
13/7
1071.701755
m7137
37
1066.247500
-5.454255
-18.926884
CONSISTENT
37
1066.247500
-5.454255
-18.926884
3-2⋅171
17/9
1101.045408
d817
38
1095.065000
-5.980407
-20.752693
CONSISTENT
38
1095.065000
-5.980407
-20.752693
31⋅71⋅11-1
21/11
1119.462965
P8711
39
1123.882501
4.419536
15.336291
CONSISTENT
39
1123.882501
4.419536
15.336291
35⋅5-3
243/125
1150.833863
d85,5,5
40
1152.700001
1.866138
6.475710
INCONSISTENT
39
1123.882501
-26.951362
-93.524290
35⋅11-2
243/121
1207.139120
cA111,11
42
1210.335001
3.195881
11.090070
CONSISTENT
42
1210.335001
3.195881
11.090070
3-3⋅51⋅111
55/27
1231.766654
P85,11
43
1239.152501
7.385847
25.629728
CONSISTENT
43
1239.152501
7.385847
25.629728
33⋅13-1
27/13
1265.337341
cA113
44
1267.970001
2.632660
9.135629
CONSISTENT
44
1267.970001
2.632660
9.135629
3-4⋅132
169/81
1273.235320
cd213,13
44
1267.970001
-5.265320
-18.271257
CONSISTENT
44
1267.970001
-5.265320
-18.271257
3-2⋅191
19/9
1293.603014
cm219
45
1296.787501
3.184486
11.050529
CONSISTENT
45
1296.787501
3.184486
11.050529
31⋅51⋅7-1
15/7
1319.442808
cA157
46
1325.605001
6.162192
21.383508
CONSISTENT
46
1325.605001
6.162192
21.383508
3-4⋅52⋅71
175/81
1333.633331
cM25,5,7
46
1325.605001
-8.028330
-27.859218
INCONSISTENT
47
1354.422501
20.789170
72.140782
5-1⋅111
11/5
1365.004228
cm2115
47
1354.422501
-10.581728
-36.719798
CONSISTENT
47
1354.422501
-10.581728
-36.719798
34⋅5-1⋅7-1
81/35
1452.680383
cM25,7
50
1440.875001
-11.805382
-40.966019
CONSISTENT
50
1440.875001
-11.805382
-40.966019
3-1⋅71
7/3
1466.870906
cm37
51
1469.692501
2.821595
9.791256
CONSISTENT
51
1469.692501
2.821595
9.791256
3-3⋅51⋅131
65/27
1520.976373
cm35,13
53
1527.327501
6.351128
22.039135
CONSISTENT
53
1527.327501
6.351128
22.039135
33⋅11-1
27/11
1554.547060
cM311
54
1556.145001
1.597940
5.545035
CONSISTENT
54
1556.145001
1.597940
5.545035
32⋅5-2⋅71
63/25
1600.108480
cd475,5
56
1613.780001
13.671520
47.441729
INCONSISTENT
55
1584.962501
-15.145980
-52.558271
31⋅111⋅13-1
33/13
1612.745281
cM31113
56
1613.780001
1.034719
3.590593
CONSISTENT
56
1613.780001
1.034719
3.590593
3-2⋅231
23/9
1624.364346
cM323
56
1613.780001
-10.584345
-36.728879
CONSISTENT
56
1613.780001
-10.584345
-36.728879
5-1⋅131
13/5
1654.213948
cd4135
57
1642.597501
-11.616447
-40.310392
CONSISTENT
57
1642.597501
-11.616447
-40.310392
34⋅31-1
81/31
1662.784431
cP431
58
1671.415001
8.630570
29.949058
CONSISTENT
58
1671.415001
8.630570
29.949058
35⋅7-1⋅13-1
243/91
1700.421436
cA37,13
59
1700.232501
-0.188935
-0.655627
CONSISTENT
59
1700.232501
-0.188935
-0.655627
33⋅51⋅7-2
135/49
1754.526904
cA357,7
61
1757.867501
3.340597
11.592252
CONSISTENT
61
1757.867501
3.340597
11.592252
3-2⋅52
25/9
1768.717426
cA45,5
61
1757.867501
-10.849925
-37.650473
INCONSISTENT
62
1786.685001
17.967575
62.349527
34⋅29-1
81/29
1778.242809
cA429
62
1786.685001
8.442192
29.295364
CONSISTENT
62
1786.685001
8.442192
29.295364
3-3⋅71⋅111
77/27
1814.278846
cd57,11
63
1815.502501
1.223655
4.246220
CONSISTENT
63
1815.502501
1.223655
4.246220
31
3/1
1901.955001
cP5
66
1901.955001
0
0
CONSISTENT
66
1901.955001
0
0


Main article: JI intervals approximated by various scales