User:Contribution/JI intervals approximated by 94edt

From Xenharmonic Wiki
Jump to navigation Jump to search

94edt divides the tritave in 94 equal steps and the octave in 59.307397 equal steps of 20.233564 cents each. Its 31-limit patent val is <59 94 138 166 205 219 242 252 268 288 294|.

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
20.233564
6.043041
29.866421
INCONSISTENT
0
0
-14.190522
-70.133579
34⋅7-1⋅11-1
81/77
87.676155
A17,11
4
80.934255
-6.741899
-33.320375
INCONSISTENT
5
101.167819
13.491665
66.679625
3-3⋅291
29/27
123.712192
m229
6
121.401383
-2.310809
-11.420670
CONSISTENT
6
121.401383
-2.310809
-11.420670
33⋅5-2
27/25
133.237575
m25,5
7
141.634947
8.397372
41.502189
INCONSISTENT
6
121.401383
-11.836192
-58.497811
3-2⋅5-1⋅72
49/45
147.428097
d37,75
7
141.634947
-5.793150
-28.631389
INCONSISTENT
6
121.401383
-26.026714
-128.631389
3-4⋅71⋅131
91/81
201.533565
d37,13
10
202.335638
0.802074
3.964075
INCONSISTENT
9
182.102075
-19.431490
-96.035925
3-3⋅311
31/27
239.170570
M231
12
242.802766
3.632196
17.951342
CONSISTENT
12
242.802766
3.632196
17.951342
31⋅51⋅13-1
15/13
247.741053
A2513
12
242.802766
-4.938287
-24.406412
INCONSISTENT
13
263.036330
15.295277
75.593588
33⋅23-1
27/23
277.590655
m323
14
283.269894
5.679238
28.068404
CONSISTENT
14
283.269894
5.679238
28.068404
11-1⋅131
13/11
289.209719
m31311
14
283.269894
-5.939826
-29.356300
CONSISTENT
14
283.269894
-5.939826
-29.356300
3-1⋅52⋅7-1
25/21
301.846520
A25,57
15
303.503458
1.656937
8.189053
INCONSISTENT
16
323.737021
21.890501
108.189053
3-2⋅111
11/9
347.407941
m311
17
343.970585
-3.437355
-16.988383
CONSISTENT
17
343.970585
-3.437355
-16.988383
34⋅5-1⋅13-1
81/65
380.978628
M35,13
19
384.437713
3.459085
17.095778
CONSISTENT
19
384.437713
3.459085
17.095778
32⋅7-1
9/7
435.084095
M37
22
445.138404
10.054309
49.691242
CONSISTENT
22
445.138404
10.054309
49.691242
3-3⋅51⋅71
35/27
449.274618
P45,7
22
445.138404
-4.136213
-20.442337
CONSISTENT
22
445.138404
-4.136213
-20.442337
31⋅51⋅11-1
15/11
536.950772
A4511
27
546.306224
9.355451
46.237289
CONSISTENT
27
546.306224
9.355451
46.237289
35⋅5-2⋅7-1
243/175
568.321670
P45,5,7
28
566.539787
-1.781883
-8.806568
CONSISTENT
28
566.539787
-1.781883
-8.806568
5-1⋅71
7/5
582.512193
d575
29
586.773351
4.261159
21.059853
INCONSISTENT
28
566.539787
-15.972405
-78.940147
3-5⋅73
343/243
596.702715
d67,7,7
29
586.773351
-9.929364
-49.073726
INCONSISTENT
28
566.539787
-30.162928
-149.073726
33⋅19-1
27/19
608.351986
A419
30
607.006915
-1.345071
-6.647723
CONSISTENT
30
607.006915
-1.345071
-6.647723
35⋅13-2
243/169
628.719681
AA413,13
31
627.240479
-1.479202
-7.310634
INCONSISTENT
32
647.474043
18.754362
92.689366
3-2⋅131
13/9
636.617660
d513
31
627.240479
-9.377181
-46.344683
CONSISTENT
31
627.240479
-9.377181
-46.344683
34⋅5-1⋅11-1
81/55
670.188347
P55,11
33
667.707607
-2.480741
-12.260522
CONSISTENT
33
667.707607
-2.480741
-12.260522
3-4⋅112
121/81
694.815881
d511,11
34
687.941171
-6.874711
-33.976767
CONSISTENT
34
687.941171
-6.874711
-33.976767
3-4⋅53
125/81
751.121138
A55,5,5
37
748.641862
-2.479276
-12.253284
INCONSISTENT
38
768.875426
17.754288
87.746716
7-1⋅111
11/7
782.492036
P5117
39
789.108990
6.616954
32.702859
CONSISTENT
39
789.108990
6.616954
32.702859
33⋅17-1
27/17
800.909593
A517
40
809.342554
8.432960
41.678078
CONSISTENT
40
809.342554
8.432960
41.678078
31⋅71⋅13-1
21/13
830.253246
M6713
41
829.576117
-0.677128
-3.346559
CONSISTENT
41
829.576117
-0.677128
-3.346559
34⋅7-2
81/49
870.168191
A57,7
43
870.043245
-0.124945
-0.617516
INCONSISTENT
44
890.276809
20.108618
99.382484
3-1⋅51
5/3
884.358713
M65
44
890.276809
5.918096
29.248905
CONSISTENT
44
890.276809
5.918096
29.248905
35⋅11-1⋅13-1
243/143
917.929400
A611,13
45
910.510373
-7.419027
-36.666934
INCONSISTENT
46
930.743937
12.814536
63.333066
3-4⋅111⋅131
143/81
984.025601
d711,13
49
991.444628
7.419027
36.666934
INCONSISTENT
48
971.211064
-12.814536
-63.333066
32⋅5-1
9/5
1017.596288
m75
50
1011.678192
-5.918096
-29.248905
CONSISTENT
50
1011.678192
-5.918096
-29.248905
3-3⋅72
49/27
1031.786810
d87,7
51
1031.911756
0.124945
0.617516
INCONSISTENT
50
1011.678192
-20.108618
-99.382484
7-1⋅131
13/7
1071.701755
m7137
53
1072.378883
0.677128
3.346559
CONSISTENT
53
1072.378883
0.677128
3.346559
3-2⋅171
17/9
1101.045408
d817
54
1092.612447
-8.432960
-41.678078
CONSISTENT
54
1092.612447
-8.432960
-41.678078
31⋅71⋅11-1
21/11
1119.462965
P8711
55
1112.846011
-6.616954
-32.702859
CONSISTENT
55
1112.846011
-6.616954
-32.702859
35⋅5-3
243/125
1150.833863
d85,5,5
57
1153.313139
2.479276
12.253284
INCONSISTENT
56
1133.079575
-17.754288
-87.746716
35⋅11-2
243/121
1207.139120
cA111,11
60
1214.013830
6.874711
33.976767
CONSISTENT
60
1214.013830
6.874711
33.976767
3-3⋅51⋅111
55/27
1231.766654
P85,11
61
1234.247394
2.480741
12.260522
CONSISTENT
61
1234.247394
2.480741
12.260522
33⋅13-1
27/13
1265.337341
cA113
63
1274.714522
9.377181
46.344683
CONSISTENT
63
1274.714522
9.377181
46.344683
3-4⋅132
169/81
1273.235320
cd213,13
63
1274.714522
1.479202
7.310634
INCONSISTENT
62
1254.480958
-18.754362
-92.689366
3-2⋅191
19/9
1293.603014
cm219
64
1294.948086
1.345071
6.647723
CONSISTENT
64
1294.948086
1.345071
6.647723
31⋅51⋅7-1
15/7
1319.442808
cA157
65
1315.181650
-4.261159
-21.059853
INCONSISTENT
66
1335.415213
15.972405
78.940147
3-4⋅52⋅71
175/81
1333.633331
cM25,5,7
66
1335.415213
1.781883
8.806568
CONSISTENT
66
1335.415213
1.781883
8.806568
5-1⋅111
11/5
1365.004228
cm2115
67
1355.648777
-9.355451
-46.237289
CONSISTENT
67
1355.648777
-9.355451
-46.237289
34⋅5-1⋅7-1
81/35
1452.680383
cM25,7
72
1456.816596
4.136213
20.442337
CONSISTENT
72
1456.816596
4.136213
20.442337
3-1⋅71
7/3
1466.870906
cm37
72
1456.816596
-10.054309
-49.691242
CONSISTENT
72
1456.816596
-10.054309
-49.691242
3-3⋅51⋅131
65/27
1520.976373
cm35,13
75
1517.517288
-3.459085
-17.095778
CONSISTENT
75
1517.517288
-3.459085
-17.095778
33⋅11-1
27/11
1554.547060
cM311
77
1557.984416
3.437355
16.988383
CONSISTENT
77
1557.984416
3.437355
16.988383
32⋅5-2⋅71
63/25
1600.108480
cd475,5
79
1598.451543
-1.656937
-8.189053
INCONSISTENT
78
1578.217979
-21.890501
-108.189053
31⋅111⋅13-1
33/13
1612.745281
cM31113
80
1618.685107
5.939826
29.356300
CONSISTENT
80
1618.685107
5.939826
29.356300
3-2⋅231
23/9
1624.364346
cM323
80
1618.685107
-5.679238
-28.068404
CONSISTENT
80
1618.685107
-5.679238
-28.068404
5-1⋅131
13/5
1654.213948
cd4135
82
1659.152235
4.938287
24.406412
INCONSISTENT
81
1638.918671
-15.295277
-75.593588
34⋅31-1
81/31
1662.784431
cP431
82
1659.152235
-3.632196
-17.951342
CONSISTENT
82
1659.152235
-3.632196
-17.951342
35⋅7-1⋅13-1
243/91
1700.421436
cA37,13
84
1699.619362
-0.802074
-3.964075
INCONSISTENT
85
1719.852926
19.431490
96.035925
33⋅51⋅7-2
135/49
1754.526904
cA357,7
87
1760.320054
5.793150
28.631389
INCONSISTENT
88
1780.553618
26.026714
128.631389
3-2⋅52
25/9
1768.717426
cA45,5
87
1760.320054
-8.397372
-41.502189
INCONSISTENT
88
1780.553618
11.836192
58.497811
34⋅29-1
81/29
1778.242809
cA429
88
1780.553618
2.310809
11.420670
CONSISTENT
88
1780.553618
2.310809
11.420670
3-3⋅71⋅111
77/27
1814.278846
cd57,11
90
1821.020746
6.741899
33.320375
INCONSISTENT
89
1800.787182
-13.491665
-66.679625
31
3/1
1901.955001
cP5
94
1901.955001
0
0
CONSISTENT
94
1901.955001
0
0


Main article: JI intervals approximated by various scales