User:Contribution/JI intervals approximated by 99edt

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99edt divides the tritave in 99 equal steps and the octave in 62.462046 equal steps of 19.211667 cents each. Its 31-limit patent val is <62 99 145 175 216 231 255 265 283 303 309|.

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
19.211667
5.021144
26.135911
INCONSISTENT
0
0
-14.190522
-73.864089
34⋅7-1⋅11-1
81/77
87.676155
A17,11
5
96.058333
8.382179
43.630669
CONSISTENT
5
96.058333
8.382179
43.630669
3-3⋅291
29/27
123.712192
m229
6
115.270000
-8.442192
-43.943046
CONSISTENT
6
115.270000
-8.442192
-43.943046
33⋅5-2
27/25
133.237575
m25,5
7
134.481667
1.244092
6.475710
CONSISTENT
7
134.481667
1.244092
6.475710
3-2⋅5-1⋅72
49/45
147.428097
d37,75
8
153.693333
6.265236
32.611622
INCONSISTENT
7
134.481667
-12.946431
-67.388378
3-4⋅71⋅131
91/81
201.533565
d37,13
10
192.116667
-9.416898
-49.016559
CONSISTENT
10
192.116667
-9.416898
-49.016559
3-3⋅311
31/27
239.170570
M231
12
230.540000
-8.630570
-44.923587
CONSISTENT
12
230.540000
-8.630570
-44.923587
31⋅51⋅13-1
15/13
247.741053
A2513
13
249.751667
2.010614
10.465588
CONSISTENT
13
249.751667
2.010614
10.465588
33⋅23-1
27/23
277.590655
m323
14
268.963333
-8.627322
-44.906681
CONSISTENT
14
268.963333
-8.627322
-44.906681
11-1⋅131
13/11
289.209719
m31311
15
288.175000
-1.034719
-5.385890
CONSISTENT
15
288.175000
-1.034719
-5.385890
3-1⋅52⋅7-1
25/21
301.846520
A25,57
16
307.386667
5.540146
28.837406
CONSISTENT
16
307.386667
5.540146
28.837406
3-2⋅111
11/9
347.407941
m311
18
345.810000
-1.597940
-8.317553
CONSISTENT
18
345.810000
-1.597940
-8.317553
34⋅5-1⋅13-1
81/65
380.978628
M35,13
20
384.233334
3.254706
16.941298
CONSISTENT
20
384.233334
3.254706
16.941298
32⋅7-1
9/7
435.084095
M37
23
441.868334
6.784238
35.313117
CONSISTENT
23
441.868334
6.784238
35.313117
3-3⋅51⋅71
35/27
449.274618
P45,7
23
441.868334
-7.406284
-38.550972
CONSISTENT
23
441.868334
-7.406284
-38.550972
31⋅51⋅11-1
15/11
536.950772
A4511
28
537.926667
0.975895
5.079697
CONSISTENT
28
537.926667
0.975895
5.079697
35⋅5-2⋅7-1
243/175
568.321670
P45,5,7
30
576.350000
8.028330
41.788827
CONSISTENT
30
576.350000
8.028330
41.788827
5-1⋅71
7/5
582.512193
d575
30
576.350000
-6.162192
-32.075262
CONSISTENT
30
576.350000
-6.162192
-32.075262
3-5⋅73
343/243
596.702715
d67,7,7
31
595.561667
-1.141048
-5.939350
INCONSISTENT
30
576.350000
-20.352715
-105.939350
33⋅19-1
27/19
608.351986
A419
32
614.773334
6.421347
33.424207
CONSISTENT
32
614.773334
6.421347
33.424207
35⋅13-2
243/169
628.719681
AA413,13
33
633.985000
5.265320
27.406886
CONSISTENT
33
633.985000
5.265320
27.406886
3-2⋅131
13/9
636.617660
d513
33
633.985000
-2.632660
-13.703443
CONSISTENT
33
633.985000
-2.632660
-13.703443
34⋅5-1⋅11-1
81/55
670.188347
P55,11
35
672.408334
2.219986
11.555408
CONSISTENT
35
672.408334
2.219986
11.555408
3-4⋅112
121/81
694.815881
d511,11
36
691.620000
-3.195881
-16.635105
CONSISTENT
36
691.620000
-3.195881
-16.635105
3-4⋅53
125/81
751.121138
A55,5,5
39
749.255000
-1.866138
-9.713565
CONSISTENT
39
749.255000
-1.866138
-9.713565
7-1⋅111
11/7
782.492036
P5117
41
787.678334
5.186298
26.995564
CONSISTENT
41
787.678334
5.186298
26.995564
33⋅17-1
27/17
800.909593
A517
42
806.890000
5.980407
31.129039
CONSISTENT
42
806.890000
5.980407
31.129039
31⋅71⋅13-1
21/13
830.253246
M6713
43
826.101667
-4.151579
-21.609674
CONSISTENT
43
826.101667
-4.151579
-21.609674
34⋅7-2
81/49
870.168191
A57,7
45
864.525000
-5.643190
-29.373767
INCONSISTENT
46
883.736667
13.568477
70.626233
3-1⋅51
5/3
884.358713
M65
46
883.736667
-0.622046
-3.237855
CONSISTENT
46
883.736667
-0.622046
-3.237855
35⋅11-1⋅13-1
243/143
917.929400
A611,13
48
922.160000
4.230600
22.020995
CONSISTENT
48
922.160000
4.230600
22.020995
3-4⋅111⋅131
143/81
984.025601
d711,13
51
979.795000
-4.230600
-22.020995
CONSISTENT
51
979.795000
-4.230600
-22.020995
32⋅5-1
9/5
1017.596288
m75
53
1018.218334
0.622046
3.237855
CONSISTENT
53
1018.218334
0.622046
3.237855
3-3⋅72
49/27
1031.786810
d87,7
54
1037.430000
5.643190
29.373767
INCONSISTENT
53
1018.218334
-13.568477
-70.626233
7-1⋅131
13/7
1071.701755
m7137
56
1075.853334
4.151579
21.609674
CONSISTENT
56
1075.853334
4.151579
21.609674
3-2⋅171
17/9
1101.045408
d817
57
1095.065000
-5.980407
-31.129039
CONSISTENT
57
1095.065000
-5.980407
-31.129039
31⋅71⋅11-1
21/11
1119.462965
P8711
58
1114.276667
-5.186298
-26.995564
CONSISTENT
58
1114.276667
-5.186298
-26.995564
35⋅5-3
243/125
1150.833863
d85,5,5
60
1152.700001
1.866138
9.713565
CONSISTENT
60
1152.700001
1.866138
9.713565
35⋅11-2
243/121
1207.139120
cA111,11
63
1210.335001
3.195881
16.635105
CONSISTENT
63
1210.335001
3.195881
16.635105
3-3⋅51⋅111
55/27
1231.766654
P85,11
64
1229.546667
-2.219986
-11.555408
CONSISTENT
64
1229.546667
-2.219986
-11.555408
33⋅13-1
27/13
1265.337341
cA113
66
1267.970001
2.632660
13.703443
CONSISTENT
66
1267.970001
2.632660
13.703443
3-4⋅132
169/81
1273.235320
cd213,13
66
1267.970001
-5.265320
-27.406886
CONSISTENT
66
1267.970001
-5.265320
-27.406886
3-2⋅191
19/9
1293.603014
cm219
67
1287.181667
-6.421347
-33.424207
CONSISTENT
67
1287.181667
-6.421347
-33.424207
31⋅51⋅7-1
15/7
1319.442808
cA157
69
1325.605001
6.162192
32.075262
CONSISTENT
69
1325.605001
6.162192
32.075262
3-4⋅52⋅71
175/81
1333.633331
cM25,5,7
69
1325.605001
-8.028330
-41.788827
CONSISTENT
69
1325.605001
-8.028330
-41.788827
5-1⋅111
11/5
1365.004228
cm2115
71
1364.028334
-0.975895
-5.079697
CONSISTENT
71
1364.028334
-0.975895
-5.079697
34⋅5-1⋅7-1
81/35
1452.680383
cM25,7
76
1460.086667
7.406284
38.550972
CONSISTENT
76
1460.086667
7.406284
38.550972
3-1⋅71
7/3
1466.870906
cm37
76
1460.086667
-6.784238
-35.313117
CONSISTENT
76
1460.086667
-6.784238
-35.313117
3-3⋅51⋅131
65/27
1520.976373
cm35,13
79
1517.721667
-3.254706
-16.941298
CONSISTENT
79
1517.721667
-3.254706
-16.941298
33⋅11-1
27/11
1554.547060
cM311
81
1556.145001
1.597940
8.317553
CONSISTENT
81
1556.145001
1.597940
8.317553
32⋅5-2⋅71
63/25
1600.108480
cd475,5
83
1594.568334
-5.540146
-28.837406
CONSISTENT
83
1594.568334
-5.540146
-28.837406
31⋅111⋅13-1
33/13
1612.745281
cM31113
84
1613.780001
1.034719
5.385890
CONSISTENT
84
1613.780001
1.034719
5.385890
3-2⋅231
23/9
1624.364346
cM323
85
1632.991667
8.627322
44.906681
CONSISTENT
85
1632.991667
8.627322
44.906681
5-1⋅131
13/5
1654.213948
cd4135
86
1652.203334
-2.010614
-10.465588
CONSISTENT
86
1652.203334
-2.010614
-10.465588
34⋅31-1
81/31
1662.784431
cP431
87
1671.415001
8.630570
44.923587
CONSISTENT
87
1671.415001
8.630570
44.923587
35⋅7-1⋅13-1
243/91
1700.421436
cA37,13
89
1709.838334
9.416898
49.016559
CONSISTENT
89
1709.838334
9.416898
49.016559
33⋅51⋅7-2
135/49
1754.526904
cA357,7
91
1748.261667
-6.265236
-32.611622
INCONSISTENT
92
1767.473334
12.946431
67.388378
3-2⋅52
25/9
1768.717426
cA45,5
92
1767.473334
-1.244092
-6.475710
CONSISTENT
92
1767.473334
-1.244092
-6.475710
34⋅29-1
81/29
1778.242809
cA429
93
1786.685001
8.442192
43.943046
CONSISTENT
93
1786.685001
8.442192
43.943046
3-3⋅71⋅111
77/27
1814.278846
cd57,11
94
1805.896667
-8.382179
-43.630669
CONSISTENT
94
1805.896667
-8.382179
-43.630669
31
3/1
1901.955001
cP5
99
1901.955001
0
0
CONSISTENT
99
1901.955001
0
0


Main article: JI intervals approximated by various scales