User:Contribution/JI intervals approximated by 97edt

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97edt divides the tritave in 97 equal steps and the octave in 61.200186 equal steps of 19.607784 cents each. Its 31-limit patent val is <61 97 142 172 212 226 250 260 277 297 303|.

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
19.607784
5.417261
27.628115
CONSISTENT
1
19.607784
5.417261
27.628115
34⋅7-1⋅11-1
81/77
87.676155
A17,11
4
78.431134
-9.245021
-47.149748
CONSISTENT
4
78.431134
-9.245021
-47.149748
3-3⋅291
29/27
123.712192
m229
6
117.646701
-6.065490
-30.934095
CONSISTENT
6
117.646701
-6.065490
-30.934095
33⋅5-2
27/25
133.237575
m25,5
7
137.254485
4.016910
20.486302
CONSISTENT
7
137.254485
4.016910
20.486302
3-2⋅5-1⋅72
49/45
147.428097
d37,75
8
156.862268
9.434171
48.114417
CONSISTENT
8
156.862268
9.434171
48.114417
3-4⋅71⋅131
91/81
201.533565
d37,13
10
196.077835
-5.455730
-27.824306
CONSISTENT
10
196.077835
-5.455730
-27.824306
3-3⋅311
31/27
239.170570
M231
12
235.293402
-3.877168
-19.773615
CONSISTENT
12
235.293402
-3.877168
-19.773615
31⋅51⋅13-1
15/13
247.741053
A2513
13
254.901186
7.160133
36.516788
CONSISTENT
13
254.901186
7.160133
36.516788
33⋅23-1
27/23
277.590655
m323
14
274.508969
-3.081686
-15.716647
CONSISTENT
14
274.508969
-3.081686
-15.716647
11-1⋅131
13/11
289.209719
m31311
15
294.116753
4.907033
25.025946
INCONSISTENT
14
274.508969
-14.700750
-74.974054
3-1⋅52⋅7-1
25/21
301.846520
A25,57
15
294.116753
-7.729768
-39.421935
CONSISTENT
15
294.116753
-7.729768
-39.421935
3-2⋅111
11/9
347.407941
m311
18
352.940103
5.532163
28.214115
CONSISTENT
18
352.940103
5.532163
28.214115
34⋅5-1⋅13-1
81/65
380.978628
M35,13
19
372.547887
-8.430741
-42.996910
INCONSISTENT
20
392.155670
11.177042
57.003090
32⋅7-1
9/7
435.084095
M37
22
431.371237
-3.712858
-18.935633
CONSISTENT
22
431.371237
-3.712858
-18.935633
3-3⋅51⋅71
35/27
449.274618
P45,7
23
450.979021
1.704403
8.692482
CONSISTENT
23
450.979021
1.704403
8.692482
31⋅51⋅11-1
15/11
536.950772
A4511
27
529.410155
-7.540617
-38.457266
CONSISTENT
27
529.410155
-7.540617
-38.457266
35⋅5-2⋅7-1
243/175
568.321670
P45,5,7
29
568.625722
0.304052
1.550669
CONSISTENT
29
568.625722
0.304052
1.550669
5-1⋅71
7/5
582.512193
d575
30
588.233505
5.721313
29.178784
CONSISTENT
30
588.233505
5.721313
29.178784
3-5⋅73
343/243
596.702715
d67,7,7
30
588.233505
-8.469210
-43.193101
INCONSISTENT
31
607.841289
11.138574
56.806899
33⋅19-1
27/19
608.351986
A419
31
607.841289
-0.510698
-2.604565
CONSISTENT
31
607.841289
-0.510698
-2.604565
35⋅13-2
243/169
628.719681
AA413,13
32
627.449072
-1.270608
-6.480122
INCONSISTENT
33
647.056856
18.337175
93.519878
3-2⋅131
13/9
636.617660
d513
32
627.449072
-9.168588
-46.759939
CONSISTENT
32
627.449072
-9.168588
-46.759939
34⋅5-1⋅11-1
81/55
670.188347
P55,11
34
666.664639
-3.523708
-17.970964
CONSISTENT
34
666.664639
-3.523708
-17.970964
3-4⋅112
121/81
694.815881
d511,11
35
686.272423
-8.543458
-43.571770
INCONSISTENT
36
705.880207
11.064325
56.428230
3-4⋅53
125/81
751.121138
A55,5,5
38
745.095774
-6.025365
-30.729453
CONSISTENT
38
745.095774
-6.025365
-30.729453
7-1⋅111
11/7
782.492036
P5117
40
784.311341
1.819305
9.278482
CONSISTENT
40
784.311341
1.819305
9.278482
33⋅17-1
27/17
800.909593
A517
41
803.919124
3.009531
15.348655
CONSISTENT
41
803.919124
3.009531
15.348655
31⋅71⋅13-1
21/13
830.253246
M6713
42
823.526908
-6.726338
-34.304428
INCONSISTENT
43
843.134691
12.881446
65.695572
34⋅7-2
81/49
870.168191
A57,7
44
862.742475
-7.425716
-37.871266
CONSISTENT
44
862.742475
-7.425716
-37.871266
3-1⋅51
5/3
884.358713
M65
45
882.350258
-2.008455
-10.243151
CONSISTENT
45
882.350258
-2.008455
-10.243151
35⋅11-1⋅13-1
243/143
917.929400
A611,13
47
921.565825
3.636425
18.545824
CONSISTENT
47
921.565825
3.636425
18.545824
3-4⋅111⋅131
143/81
984.025601
d711,13
50
980.389176
-3.636425
-18.545824
CONSISTENT
50
980.389176
-3.636425
-18.545824
32⋅5-1
9/5
1017.596288
m75
52
1019.604743
2.008455
10.243151
CONSISTENT
52
1019.604743
2.008455
10.243151
3-3⋅72
49/27
1031.786810
d87,7
53
1039.212526
7.425716
37.871266
CONSISTENT
53
1039.212526
7.425716
37.871266
7-1⋅131
13/7
1071.701755
m7137
55
1078.428093
6.726338
34.304428
INCONSISTENT
54
1058.820310
-12.881446
-65.695572
3-2⋅171
17/9
1101.045408
d817
56
1098.035877
-3.009531
-15.348655
CONSISTENT
56
1098.035877
-3.009531
-15.348655
31⋅71⋅11-1
21/11
1119.462965
P8711
57
1117.643660
-1.819305
-9.278482
CONSISTENT
57
1117.643660
-1.819305
-9.278482
35⋅5-3
243/125
1150.833863
d85,5,5
59
1156.859227
6.025365
30.729453
CONSISTENT
59
1156.859227
6.025365
30.729453
35⋅11-2
243/121
1207.139120
cA111,11
62
1215.682578
8.543458
43.571770
INCONSISTENT
61
1196.074794
-11.064325
-56.428230
3-3⋅51⋅111
55/27
1231.766654
P85,11
63
1235.290361
3.523708
17.970964
CONSISTENT
63
1235.290361
3.523708
17.970964
33⋅13-1
27/13
1265.337341
cA113
65
1274.505928
9.168588
46.759939
CONSISTENT
65
1274.505928
9.168588
46.759939
3-4⋅132
169/81
1273.235320
cd213,13
65
1274.505928
1.270608
6.480122
INCONSISTENT
64
1254.898145
-18.337175
-93.519878
3-2⋅191
19/9
1293.603014
cm219
66
1294.113712
0.510698
2.604565
CONSISTENT
66
1294.113712
0.510698
2.604565
31⋅51⋅7-1
15/7
1319.442808
cA157
67
1313.721495
-5.721313
-29.178784
CONSISTENT
67
1313.721495
-5.721313
-29.178784
3-4⋅52⋅71
175/81
1333.633331
cM25,5,7
68
1333.329279
-0.304052
-1.550669
CONSISTENT
68
1333.329279
-0.304052
-1.550669
5-1⋅111
11/5
1365.004228
cm2115
70
1372.544846
7.540617
38.457266
CONSISTENT
70
1372.544846
7.540617
38.457266
34⋅5-1⋅7-1
81/35
1452.680383
cM25,7
74
1450.975980
-1.704403
-8.692482
CONSISTENT
74
1450.975980
-1.704403
-8.692482
3-1⋅71
7/3
1466.870906
cm37
75
1470.583764
3.712858
18.935633
CONSISTENT
75
1470.583764
3.712858
18.935633
3-3⋅51⋅131
65/27
1520.976373
cm35,13
78
1529.407114
8.430741
42.996910
INCONSISTENT
77
1509.799331
-11.177042
-57.003090
33⋅11-1
27/11
1554.547060
cM311
79
1549.014898
-5.532163
-28.214115
CONSISTENT
79
1549.014898
-5.532163
-28.214115
32⋅5-2⋅71
63/25
1600.108480
cd475,5
82
1607.838248
7.729768
39.421935
CONSISTENT
82
1607.838248
7.729768
39.421935
31⋅111⋅13-1
33/13
1612.745281
cM31113
82
1607.838248
-4.907033
-25.025946
INCONSISTENT
83
1627.446032
14.700750
74.974054
3-2⋅231
23/9
1624.364346
cM323
83
1627.446032
3.081686
15.716647
CONSISTENT
83
1627.446032
3.081686
15.716647
5-1⋅131
13/5
1654.213948
cd4135
84
1647.053815
-7.160133
-36.516788
CONSISTENT
84
1647.053815
-7.160133
-36.516788
34⋅31-1
81/31
1662.784431
cP431
85
1666.661599
3.877168
19.773615
CONSISTENT
85
1666.661599
3.877168
19.773615
35⋅7-1⋅13-1
243/91
1700.421436
cA37,13
87
1705.877166
5.455730
27.824306
CONSISTENT
87
1705.877166
5.455730
27.824306
33⋅51⋅7-2
135/49
1754.526904
cA357,7
89
1745.092733
-9.434171
-48.114417
CONSISTENT
89
1745.092733
-9.434171
-48.114417
3-2⋅52
25/9
1768.717426
cA45,5
90
1764.700516
-4.016910
-20.486302
CONSISTENT
90
1764.700516
-4.016910
-20.486302
34⋅29-1
81/29
1778.242809
cA429
91
1784.308300
6.065490
30.934095
CONSISTENT
91
1784.308300
6.065490
30.934095
3-3⋅71⋅111
77/27
1814.278846
cd57,11
93
1823.523867
9.245021
47.149748
CONSISTENT
93
1823.523867
9.245021
47.149748
31
3/1
1901.955001
cP5
97
1901.955001
0
0
CONSISTENT
97
1901.955001
0
0


Main article: JI intervals approximated by various scales