User:Contribution/JI intervals approximated by 65edt
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65edt divides the tritave in 65 equal steps and the octave in 41.010434 equal steps of 29.260846 cents each. Its 31-limit patent val is <41 65 95 115 142 152 168 174 186 199 203|.
| 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
|
-48.496624
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-48.496624
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
87.782539
|
0.106384
|
0.363571
|
CONSISTENT
|
3
|
87.782539
|
0.106384
|
0.363571
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
117.043385
|
-6.668807
|
-22.790889
|
CONSISTENT
|
4
|
117.043385
|
-6.668807
|
-22.790889
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
146.304231
|
13.066656
|
44.655769
|
CONSISTENT
|
5
|
146.304231
|
13.066656
|
44.655769
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
146.304231
|
-1.123867
|
-3.840854
|
CONSISTENT
|
5
|
146.304231
|
-1.123867
|
-3.840854
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
204.825923
|
3.292358
|
11.251754
|
CONSISTENT
|
7
|
204.825923
|
3.292358
|
11.251754
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
8
|
234.086769
|
-5.083801
|
-17.374072
|
CONSISTENT
|
8
|
234.086769
|
-5.083801
|
-17.374072
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
8
|
234.086769
|
-13.654284
|
-46.664008
|
CONSISTENT
|
8
|
234.086769
|
-13.654284
|
-46.664008
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
9
|
263.347616
|
-14.243040
|
-48.676104
|
CONSISTENT
|
9
|
263.347616
|
-14.243040
|
-48.676104
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
10
|
292.608462
|
3.398742
|
11.615325
|
CONSISTENT
|
10
|
292.608462
|
3.398742
|
11.615325
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
10
|
292.608462
|
-9.238059
|
-31.571400
|
CONSISTENT
|
10
|
292.608462
|
-9.238059
|
-31.571400
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
12
|
351.130154
|
3.722213
|
12.720799
|
CONSISTENT
|
12
|
351.130154
|
3.722213
|
12.720799
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
13
|
380.391000
|
-0.587628
|
-2.008239
|
CONSISTENT
|
13
|
380.391000
|
-0.587628
|
-2.008239
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
15
|
438.912693
|
3.828597
|
13.084370
|
CONSISTENT
|
15
|
438.912693
|
3.828597
|
13.084370
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
15
|
438.912693
|
-10.361925
|
-35.412254
|
CONSISTENT
|
15
|
438.912693
|
-10.361925
|
-35.412254
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
18
|
526.695231
|
-10.255541
|
-35.048683
|
CONSISTENT
|
18
|
526.695231
|
-10.255541
|
-35.048683
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
19
|
555.956077
|
-12.365593
|
-42.259861
|
INCONSISTENT
|
20
|
585.216923
|
16.895253
|
57.740139
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
20
|
585.216923
|
2.704731
|
9.243515
|
CONSISTENT
|
20
|
585.216923
|
2.704731
|
9.243515
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
20
|
585.216923
|
-11.485792
|
-39.253109
|
CONSISTENT
|
20
|
585.216923
|
-11.485792
|
-39.253109
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
21
|
614.477770
|
6.125783
|
20.935085
|
CONSISTENT
|
21
|
614.477770
|
6.125783
|
20.935085
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
21
|
614.477770
|
-14.241911
|
-48.672247
|
CONSISTENT
|
21
|
614.477770
|
-14.241911
|
-48.672247
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
22
|
643.738616
|
7.120956
|
24.336123
|
CONSISTENT
|
22
|
643.738616
|
7.120956
|
24.336123
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
23
|
672.999462
|
2.811115
|
9.607086
|
CONSISTENT
|
23
|
672.999462
|
2.811115
|
9.607086
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
24
|
702.260308
|
7.444427
|
25.441598
|
CONSISTENT
|
24
|
702.260308
|
7.444427
|
25.441598
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
26
|
760.782000
|
9.660862
|
33.016346
|
INCONSISTENT
|
25
|
731.521154
|
-19.599984
|
-66.983654
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
27
|
790.042847
|
7.550811
|
25.805168
|
CONSISTENT
|
27
|
790.042847
|
7.550811
|
25.805168
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
27
|
790.042847
|
-10.866747
|
-37.137499
|
CONSISTENT
|
27
|
790.042847
|
-10.866747
|
-37.137499
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
28
|
819.303693
|
-10.949553
|
-37.420493
|
CONSISTENT
|
28
|
819.303693
|
-10.949553
|
-37.420493
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
30
|
877.825385
|
7.657194
|
26.168739
|
CONSISTENT
|
30
|
877.825385
|
7.657194
|
26.168739
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
30
|
877.825385
|
-6.533328
|
-22.327885
|
CONSISTENT
|
30
|
877.825385
|
-6.533328
|
-22.327885
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
31
|
907.086231
|
-10.843169
|
-37.056922
|
CONSISTENT
|
31
|
907.086231
|
-10.843169
|
-37.056922
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
34
|
994.868770
|
10.843169
|
37.056922
|
CONSISTENT
|
34
|
994.868770
|
10.843169
|
37.056922
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
35
|
1024.129616
|
6.533328
|
22.327885
|
CONSISTENT
|
35
|
1024.129616
|
6.533328
|
22.327885
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
35
|
1024.129616
|
-7.657194
|
-26.168739
|
CONSISTENT
|
35
|
1024.129616
|
-7.657194
|
-26.168739
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
37
|
1082.651308
|
10.949553
|
37.420493
|
CONSISTENT
|
37
|
1082.651308
|
10.949553
|
37.420493
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
38
|
1111.912154
|
10.866747
|
37.137499
|
CONSISTENT
|
38
|
1111.912154
|
10.866747
|
37.137499
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
38
|
1111.912154
|
-7.550811
|
-25.805168
|
CONSISTENT
|
38
|
1111.912154
|
-7.550811
|
-25.805168
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
39
|
1141.173001
|
-9.660862
|
-33.016346
|
INCONSISTENT
|
40
|
1170.433847
|
19.599984
|
66.983654
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
41
|
1199.694693
|
-7.444427
|
-25.441598
|
CONSISTENT
|
41
|
1199.694693
|
-7.444427
|
-25.441598
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
42
|
1228.955539
|
-2.811115
|
-9.607086
|
CONSISTENT
|
42
|
1228.955539
|
-2.811115
|
-9.607086
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
43
|
1258.216385
|
-7.120956
|
-24.336123
|
CONSISTENT
|
43
|
1258.216385
|
-7.120956
|
-24.336123
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
44
|
1287.477231
|
14.241911
|
48.672247
|
CONSISTENT
|
44
|
1287.477231
|
14.241911
|
48.672247
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
44
|
1287.477231
|
-6.125783
|
-20.935085
|
CONSISTENT
|
44
|
1287.477231
|
-6.125783
|
-20.935085
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
45
|
1316.738078
|
-2.704731
|
-9.243515
|
CONSISTENT
|
45
|
1316.738078
|
-2.704731
|
-9.243515
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
46
|
1345.998924
|
12.365593
|
42.259861
|
INCONSISTENT
|
45
|
1316.738078
|
-16.895253
|
-57.740139
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
47
|
1375.259770
|
10.255541
|
35.048683
|
CONSISTENT
|
47
|
1375.259770
|
10.255541
|
35.048683
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
50
|
1463.042308
|
10.361925
|
35.412254
|
CONSISTENT
|
50
|
1463.042308
|
10.361925
|
35.412254
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
50
|
1463.042308
|
-3.828597
|
-13.084370
|
CONSISTENT
|
50
|
1463.042308
|
-3.828597
|
-13.084370
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
52
|
1521.564001
|
0.587628
|
2.008239
|
CONSISTENT
|
52
|
1521.564001
|
0.587628
|
2.008239
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
53
|
1550.824847
|
-3.722213
|
-12.720799
|
CONSISTENT
|
53
|
1550.824847
|
-3.722213
|
-12.720799
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
55
|
1609.346539
|
9.238059
|
31.571400
|
CONSISTENT
|
55
|
1609.346539
|
9.238059
|
31.571400
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
55
|
1609.346539
|
-3.398742
|
-11.615325
|
CONSISTENT
|
55
|
1609.346539
|
-3.398742
|
-11.615325
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
56
|
1638.607385
|
14.243040
|
48.676104
|
CONSISTENT
|
56
|
1638.607385
|
14.243040
|
48.676104
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
57
|
1667.868232
|
13.654284
|
46.664008
|
CONSISTENT
|
57
|
1667.868232
|
13.654284
|
46.664008
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
57
|
1667.868232
|
5.083801
|
17.374072
|
CONSISTENT
|
57
|
1667.868232
|
5.083801
|
17.374072
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
58
|
1697.129078
|
-3.292358
|
-11.251754
|
CONSISTENT
|
58
|
1697.129078
|
-3.292358
|
-11.251754
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
60
|
1755.650770
|
1.123867
|
3.840854
|
CONSISTENT
|
60
|
1755.650770
|
1.123867
|
3.840854
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
60
|
1755.650770
|
-13.066656
|
-44.655769
|
CONSISTENT
|
60
|
1755.650770
|
-13.066656
|
-44.655769
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
61
|
1784.911616
|
6.668807
|
22.790889
|
CONSISTENT
|
61
|
1784.911616
|
6.668807
|
22.790889
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
62
|
1814.172462
|
-0.106384
|
-0.363571
|
CONSISTENT
|
62
|
1814.172462
|
-0.106384
|
-0.363571
|
31
|
3/1
|
1901.955001
|
cP5
|
65
|
1901.955001
|
0
|
0
|
CONSISTENT
|
65
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales