User:Contribution/JI intervals approximated by 100edt
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100edt divides the tritave in 100 equal steps and the octave in 63.092975 equal steps of 19.019550 cents each. Its 31-limit patent val is <63 100 146 177 218 233 258 268 285 307 313|.
| 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
|
19.019550
|
4.829028
|
25.389810
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-74.610190
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
5
|
95.097750
|
7.421595
|
39.020878
|
CONSISTENT
|
5
|
95.097750
|
7.421595
|
39.020878
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
7
|
133.136850
|
9.424659
|
49.552479
|
CONSISTENT
|
7
|
133.136850
|
9.424659
|
49.552479
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
7
|
133.136850
|
-0.100725
|
-0.529586
|
INCONSISTENT
|
8
|
152.156400
|
18.918825
|
99.470414
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
8
|
152.156400
|
4.728303
|
24.860224
|
CONSISTENT
|
8
|
152.156400
|
4.728303
|
24.860224
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
11
|
209.215050
|
7.681485
|
40.387314
|
INCONSISTENT
|
10
|
190.195500
|
-11.338065
|
-59.612686
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
13
|
247.254150
|
8.083580
|
42.501427
|
CONSISTENT
|
13
|
247.254150
|
8.083580
|
42.501427
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
13
|
247.254150
|
-0.486903
|
-2.560012
|
CONSISTENT
|
13
|
247.254150
|
-0.486903
|
-2.560012
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
15
|
285.293250
|
7.702595
|
40.498302
|
CONSISTENT
|
15
|
285.293250
|
7.702595
|
40.498302
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
15
|
285.293250
|
-3.916469
|
-20.591808
|
CONSISTENT
|
15
|
285.293250
|
-3.916469
|
-20.591808
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
16
|
304.312800
|
2.466280
|
12.967077
|
INCONSISTENT
|
15
|
285.293250
|
-16.553270
|
-87.032923
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
18
|
342.351900
|
-5.056040
|
-26.583386
|
CONSISTENT
|
18
|
342.351900
|
-5.056040
|
-26.583386
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
20
|
380.391000
|
-0.587628
|
-3.089598
|
INCONSISTENT
|
21
|
399.410550
|
18.431922
|
96.910402
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
23
|
437.449650
|
2.365555
|
12.437492
|
CONSISTENT
|
23
|
437.449650
|
2.365555
|
12.437492
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
24
|
456.469200
|
7.194582
|
37.827301
|
INCONSISTENT
|
23
|
437.449650
|
-11.824968
|
-62.172699
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
28
|
532.547400
|
-4.403372
|
-23.151821
|
CONSISTENT
|
28
|
532.547400
|
-4.403372
|
-23.151821
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
30
|
570.586500
|
2.264830
|
11.907906
|
INCONSISTENT
|
31
|
589.606050
|
21.284380
|
111.907906
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
31
|
589.606050
|
7.093858
|
37.297716
|
CONSISTENT
|
31
|
589.606050
|
7.093858
|
37.297716
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
31
|
589.606050
|
-7.096665
|
-37.312475
|
CONSISTENT
|
31
|
589.606050
|
-7.096665
|
-37.312475
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
32
|
608.625600
|
0.273614
|
1.438592
|
CONSISTENT
|
32
|
608.625600
|
0.273614
|
1.438592
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
33
|
627.645150
|
-1.074531
|
-5.649611
|
INCONSISTENT
|
34
|
646.664700
|
17.945020
|
94.350389
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
33
|
627.645150
|
-8.972510
|
-47.175195
|
CONSISTENT
|
33
|
627.645150
|
-8.972510
|
-47.175195
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
35
|
665.684250
|
-4.504097
|
-23.681406
|
INCONSISTENT
|
36
|
684.703800
|
14.515453
|
76.318594
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
37
|
703.723350
|
8.907469
|
46.833227
|
INCONSISTENT
|
36
|
684.703800
|
-10.112081
|
-53.166773
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
39
|
741.762450
|
-9.358688
|
-49.205622
|
INCONSISTENT
|
38
|
722.742900
|
-28.378238
|
-149.205622
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
41
|
779.801550
|
-2.690486
|
-14.145895
|
CONSISTENT
|
41
|
779.801550
|
-2.690486
|
-14.145895
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
42
|
798.821100
|
-2.088493
|
-10.980768
|
CONSISTENT
|
42
|
798.821100
|
-2.088493
|
-10.980768
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
44
|
836.860200
|
6.606955
|
34.737703
|
CONSISTENT
|
44
|
836.860200
|
6.606955
|
34.737703
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
46
|
874.899300
|
4.731110
|
24.874983
|
CONSISTENT
|
46
|
874.899300
|
4.731110
|
24.874983
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
46
|
874.899300
|
-9.459413
|
-49.735207
|
CONSISTENT
|
46
|
874.899300
|
-9.459413
|
-49.735207
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
48
|
912.938400
|
-4.991000
|
-26.241419
|
INCONSISTENT
|
49
|
931.957950
|
14.028550
|
73.758581
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
52
|
989.016600
|
4.991000
|
26.241419
|
INCONSISTENT
|
51
|
969.997050
|
-14.028550
|
-73.758581
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
54
|
1027.055700
|
9.459413
|
49.735207
|
CONSISTENT
|
54
|
1027.055700
|
9.459413
|
49.735207
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
54
|
1027.055700
|
-4.731110
|
-24.874983
|
CONSISTENT
|
54
|
1027.055700
|
-4.731110
|
-24.874983
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
56
|
1065.094800
|
-6.606955
|
-34.737703
|
CONSISTENT
|
56
|
1065.094800
|
-6.606955
|
-34.737703
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
58
|
1103.133901
|
2.088493
|
10.980768
|
CONSISTENT
|
58
|
1103.133901
|
2.088493
|
10.980768
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
59
|
1122.153451
|
2.690486
|
14.145895
|
CONSISTENT
|
59
|
1122.153451
|
2.690486
|
14.145895
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
61
|
1160.192551
|
9.358688
|
49.205622
|
INCONSISTENT
|
62
|
1179.212101
|
28.378238
|
149.205622
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
63
|
1198.231651
|
-8.907469
|
-46.833227
|
INCONSISTENT
|
64
|
1217.251201
|
10.112081
|
53.166773
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
65
|
1236.270751
|
4.504097
|
23.681406
|
INCONSISTENT
|
64
|
1217.251201
|
-14.515453
|
-76.318594
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
67
|
1274.309851
|
8.972510
|
47.175195
|
CONSISTENT
|
67
|
1274.309851
|
8.972510
|
47.175195
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
67
|
1274.309851
|
1.074531
|
5.649611
|
INCONSISTENT
|
66
|
1255.290301
|
-17.945020
|
-94.350389
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
68
|
1293.329401
|
-0.273614
|
-1.438592
|
CONSISTENT
|
68
|
1293.329401
|
-0.273614
|
-1.438592
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
69
|
1312.348951
|
-7.093858
|
-37.297716
|
CONSISTENT
|
69
|
1312.348951
|
-7.093858
|
-37.297716
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
70
|
1331.368501
|
-2.264830
|
-11.907906
|
INCONSISTENT
|
69
|
1312.348951
|
-21.284380
|
-111.907906
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
72
|
1369.407601
|
4.403372
|
23.151821
|
CONSISTENT
|
72
|
1369.407601
|
4.403372
|
23.151821
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
76
|
1445.485801
|
-7.194582
|
-37.827301
|
INCONSISTENT
|
77
|
1464.505351
|
11.824968
|
62.172699
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
77
|
1464.505351
|
-2.365555
|
-12.437492
|
CONSISTENT
|
77
|
1464.505351
|
-2.365555
|
-12.437492
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
80
|
1521.564001
|
0.587628
|
3.089598
|
INCONSISTENT
|
79
|
1502.544451
|
-18.431922
|
-96.910402
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
82
|
1559.603101
|
5.056040
|
26.583386
|
CONSISTENT
|
82
|
1559.603101
|
5.056040
|
26.583386
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
84
|
1597.642201
|
-2.466280
|
-12.967077
|
INCONSISTENT
|
85
|
1616.661751
|
16.553270
|
87.032923
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
85
|
1616.661751
|
3.916469
|
20.591808
|
CONSISTENT
|
85
|
1616.661751
|
3.916469
|
20.591808
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
85
|
1616.661751
|
-7.702595
|
-40.498302
|
CONSISTENT
|
85
|
1616.661751
|
-7.702595
|
-40.498302
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
87
|
1654.700851
|
0.486903
|
2.560012
|
CONSISTENT
|
87
|
1654.700851
|
0.486903
|
2.560012
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
87
|
1654.700851
|
-8.083580
|
-42.501427
|
CONSISTENT
|
87
|
1654.700851
|
-8.083580
|
-42.501427
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
89
|
1692.739951
|
-7.681485
|
-40.387314
|
INCONSISTENT
|
90
|
1711.759501
|
11.338065
|
59.612686
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
92
|
1749.798601
|
-4.728303
|
-24.860224
|
CONSISTENT
|
92
|
1749.798601
|
-4.728303
|
-24.860224
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
93
|
1768.818151
|
0.100725
|
0.529586
|
INCONSISTENT
|
92
|
1749.798601
|
-18.918825
|
-99.470414
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
93
|
1768.818151
|
-9.424659
|
-49.552479
|
CONSISTENT
|
93
|
1768.818151
|
-9.424659
|
-49.552479
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
95
|
1806.857251
|
-7.421595
|
-39.020878
|
CONSISTENT
|
95
|
1806.857251
|
-7.421595
|
-39.020878
|
31
|
3/1
|
1901.955001
|
cP5
|
100
|
1901.955001
|
0
|
0
|
CONSISTENT
|
100
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales