User:Contribution/JI intervals approximated by 79edt
Jump to navigation
Jump to search
79edt divides the tritave in 79 equal steps and the octave in 49.843451 equal steps of 24.075380 cents each. Its 31-limit patent val is <50 79 116 140 172 184 204 212 225 242 247|.
| 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
|
24.075380
|
9.884857
|
41.057950
|
CONSISTENT
|
1
|
24.075380
|
9.884857
|
41.057950
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
96.301519
|
8.625364
|
35.826494
|
CONSISTENT
|
4
|
96.301519
|
8.625364
|
35.826494
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
120.376899
|
-3.335293
|
-13.853542
|
CONSISTENT
|
5
|
120.376899
|
-3.335293
|
-13.853542
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
144.452279
|
11.214704
|
46.581627
|
INCONSISTENT
|
5
|
120.376899
|
-12.860676
|
-53.418373
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
144.452279
|
-2.975819
|
-12.360423
|
CONSISTENT
|
6
|
144.452279
|
-2.975819
|
-12.360423
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
192.603038
|
-8.930527
|
-37.094022
|
CONSISTENT
|
8
|
192.603038
|
-8.930527
|
-37.094022
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
240.753798
|
1.583228
|
6.576128
|
CONSISTENT
|
10
|
240.753798
|
1.583228
|
6.576128
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
240.753798
|
-6.987255
|
-29.022410
|
INCONSISTENT
|
11
|
264.829177
|
17.088124
|
70.977590
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
12
|
288.904557
|
11.313902
|
46.993659
|
CONSISTENT
|
12
|
288.904557
|
11.313902
|
46.993659
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
12
|
288.904557
|
-0.305162
|
-1.267529
|
CONSISTENT
|
12
|
288.904557
|
-0.305162
|
-1.267529
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
13
|
312.979937
|
11.133416
|
46.243991
|
CONSISTENT
|
13
|
312.979937
|
11.133416
|
46.243991
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
14
|
337.055317
|
-10.352624
|
-43.000875
|
CONSISTENT
|
14
|
337.055317
|
-10.352624
|
-43.000875
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
16
|
385.206076
|
4.227448
|
17.559218
|
CONSISTENT
|
16
|
385.206076
|
4.227448
|
17.559218
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
18
|
433.356836
|
-1.727260
|
-7.174382
|
CONSISTENT
|
18
|
433.356836
|
-1.727260
|
-7.174382
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
19
|
457.432215
|
8.157598
|
33.883568
|
CONSISTENT
|
19
|
457.432215
|
8.157598
|
33.883568
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
22
|
529.658355
|
-7.292418
|
-30.289938
|
INCONSISTENT
|
23
|
553.733734
|
16.782962
|
69.710062
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
24
|
577.809114
|
9.487444
|
39.407246
|
INCONSISTENT
|
23
|
553.733734
|
-14.587936
|
-60.592754
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
24
|
577.809114
|
-4.703078
|
-19.534805
|
CONSISTENT
|
24
|
577.809114
|
-4.703078
|
-19.534805
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
25
|
601.884494
|
5.181779
|
21.523145
|
CONSISTENT
|
25
|
601.884494
|
5.181779
|
21.523145
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
25
|
601.884494
|
-6.467493
|
-26.863512
|
CONSISTENT
|
25
|
601.884494
|
-6.467493
|
-26.863512
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
26
|
625.959874
|
-2.759807
|
-11.463192
|
INCONSISTENT
|
27
|
650.035253
|
21.315573
|
88.536808
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
26
|
625.959874
|
-10.657786
|
-44.268404
|
CONSISTENT
|
26
|
625.959874
|
-10.657786
|
-44.268404
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
28
|
674.110633
|
3.922286
|
16.291689
|
CONSISTENT
|
28
|
674.110633
|
3.922286
|
16.291689
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
29
|
698.186013
|
3.370132
|
13.998249
|
INCONSISTENT
|
28
|
674.110633
|
-20.705248
|
-86.001751
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
31
|
746.336772
|
-4.784366
|
-19.872441
|
INCONSISTENT
|
32
|
770.412152
|
19.291014
|
80.127559
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
33
|
794.487532
|
11.995496
|
49.824743
|
INCONSISTENT
|
32
|
770.412152
|
-12.079884
|
-50.175257
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
33
|
794.487532
|
-6.422061
|
-26.674807
|
CONSISTENT
|
33
|
794.487532
|
-6.422061
|
-26.674807
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
34
|
818.562912
|
-11.690334
|
-48.557215
|
INCONSISTENT
|
35
|
842.638292
|
12.385046
|
51.442785
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
36
|
866.713671
|
-3.454519
|
-14.348763
|
CONSISTENT
|
36
|
866.713671
|
-3.454519
|
-14.348763
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
37
|
890.789051
|
6.430338
|
26.709186
|
CONSISTENT
|
37
|
890.789051
|
6.430338
|
26.709186
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
38
|
914.864431
|
-3.064969
|
-12.730721
|
INCONSISTENT
|
39
|
938.939811
|
21.010410
|
87.269279
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
41
|
987.090570
|
3.064969
|
12.730721
|
INCONSISTENT
|
40
|
963.015190
|
-21.010410
|
-87.269279
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
42
|
1011.165950
|
-6.430338
|
-26.709186
|
CONSISTENT
|
42
|
1011.165950
|
-6.430338
|
-26.709186
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
43
|
1035.241330
|
3.454519
|
14.348763
|
CONSISTENT
|
43
|
1035.241330
|
3.454519
|
14.348763
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
45
|
1083.392089
|
11.690334
|
48.557215
|
INCONSISTENT
|
44
|
1059.316709
|
-12.385046
|
-51.442785
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
46
|
1107.467469
|
6.422061
|
26.674807
|
CONSISTENT
|
46
|
1107.467469
|
6.422061
|
26.674807
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
46
|
1107.467469
|
-11.995496
|
-49.824743
|
INCONSISTENT
|
47
|
1131.542849
|
12.079884
|
50.175257
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
48
|
1155.618228
|
4.784366
|
19.872441
|
INCONSISTENT
|
47
|
1131.542849
|
-19.291014
|
-80.127559
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
50
|
1203.768988
|
-3.370132
|
-13.998249
|
INCONSISTENT
|
51
|
1227.844368
|
20.705248
|
86.001751
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
51
|
1227.844368
|
-3.922286
|
-16.291689
|
CONSISTENT
|
51
|
1227.844368
|
-3.922286
|
-16.291689
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
53
|
1275.995127
|
10.657786
|
44.268404
|
CONSISTENT
|
53
|
1275.995127
|
10.657786
|
44.268404
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
53
|
1275.995127
|
2.759807
|
11.463192
|
INCONSISTENT
|
52
|
1251.919747
|
-21.315573
|
-88.536808
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
54
|
1300.070507
|
6.467493
|
26.863512
|
CONSISTENT
|
54
|
1300.070507
|
6.467493
|
26.863512
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
55
|
1324.145887
|
4.703078
|
19.534805
|
CONSISTENT
|
55
|
1324.145887
|
4.703078
|
19.534805
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
55
|
1324.145887
|
-9.487444
|
-39.407246
|
INCONSISTENT
|
56
|
1348.221266
|
14.587936
|
60.592754
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
57
|
1372.296646
|
7.292418
|
30.289938
|
INCONSISTENT
|
56
|
1348.221266
|
-16.782962
|
-69.710062
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
60
|
1444.522785
|
-8.157598
|
-33.883568
|
CONSISTENT
|
60
|
1444.522785
|
-8.157598
|
-33.883568
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
61
|
1468.598165
|
1.727260
|
7.174382
|
CONSISTENT
|
61
|
1468.598165
|
1.727260
|
7.174382
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
63
|
1516.748925
|
-4.227448
|
-17.559218
|
CONSISTENT
|
63
|
1516.748925
|
-4.227448
|
-17.559218
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
65
|
1564.899684
|
10.352624
|
43.000875
|
CONSISTENT
|
65
|
1564.899684
|
10.352624
|
43.000875
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
66
|
1588.975064
|
-11.133416
|
-46.243991
|
CONSISTENT
|
66
|
1588.975064
|
-11.133416
|
-46.243991
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
67
|
1613.050444
|
0.305162
|
1.267529
|
CONSISTENT
|
67
|
1613.050444
|
0.305162
|
1.267529
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
67
|
1613.050444
|
-11.313902
|
-46.993659
|
CONSISTENT
|
67
|
1613.050444
|
-11.313902
|
-46.993659
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
69
|
1661.201203
|
6.987255
|
29.022410
|
INCONSISTENT
|
68
|
1637.125824
|
-17.088124
|
-70.977590
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
69
|
1661.201203
|
-1.583228
|
-6.576128
|
CONSISTENT
|
69
|
1661.201203
|
-1.583228
|
-6.576128
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
71
|
1709.351963
|
8.930527
|
37.094022
|
CONSISTENT
|
71
|
1709.351963
|
8.930527
|
37.094022
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
73
|
1757.502722
|
2.975819
|
12.360423
|
CONSISTENT
|
73
|
1757.502722
|
2.975819
|
12.360423
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
73
|
1757.502722
|
-11.214704
|
-46.581627
|
INCONSISTENT
|
74
|
1781.578102
|
12.860676
|
53.418373
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
74
|
1781.578102
|
3.335293
|
13.853542
|
CONSISTENT
|
74
|
1781.578102
|
3.335293
|
13.853542
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
75
|
1805.653482
|
-8.625364
|
-35.826494
|
CONSISTENT
|
75
|
1805.653482
|
-8.625364
|
-35.826494
|
31
|
3/1
|
1901.955001
|
cP5
|
79
|
1901.955001
|
0
|
0
|
CONSISTENT
|
79
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales