User:Contribution/JI intervals approximated by 81edt
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81edt divides the tritave in 81 equal steps and the octave in 51.105310 equal steps of 23.480926 cents each. Its 31-limit patent val is <51 81 119 143 177 189 209 217 231 248 253|.
| 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
|
23.480926
|
9.290403
|
39.565746
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-60.434254
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
93.923704
|
6.247549
|
26.606911
|
CONSISTENT
|
4
|
93.923704
|
6.247549
|
26.606911
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
117.404630
|
-6.307562
|
-26.862492
|
CONSISTENT
|
5
|
117.404630
|
-6.307562
|
-26.862492
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
140.885556
|
7.647981
|
32.571036
|
INCONSISTENT
|
5
|
117.404630
|
-15.832945
|
-67.428964
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
140.885556
|
-6.542542
|
-27.863219
|
INCONSISTENT
|
5
|
117.404630
|
-30.023468
|
-127.863219
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
211.328333
|
9.794769
|
41.713724
|
INCONSISTENT
|
8
|
187.847407
|
-13.686157
|
-58.286276
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
234.809259
|
-4.361311
|
-18.573844
|
CONSISTENT
|
10
|
234.809259
|
-4.361311
|
-18.573844
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
258.290185
|
10.549132
|
44.926390
|
CONSISTENT
|
11
|
258.290185
|
10.549132
|
44.926390
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
12
|
281.771111
|
4.180456
|
17.803625
|
CONSISTENT
|
12
|
281.771111
|
4.180456
|
17.803625
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
12
|
281.771111
|
-7.438608
|
-31.679365
|
CONSISTENT
|
12
|
281.771111
|
-7.438608
|
-31.679365
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
13
|
305.252037
|
3.405517
|
14.503333
|
INCONSISTENT
|
14
|
328.732963
|
26.886443
|
114.503333
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
15
|
352.213889
|
4.805948
|
20.467457
|
CONSISTENT
|
15
|
352.213889
|
4.805948
|
20.467457
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
16
|
375.694815
|
-5.283813
|
-22.502574
|
CONSISTENT
|
16
|
375.694815
|
-5.283813
|
-22.502574
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
19
|
446.137593
|
11.053498
|
47.074368
|
CONSISTENT
|
19
|
446.137593
|
11.053498
|
47.074368
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
19
|
446.137593
|
-3.137025
|
-13.359886
|
CONSISTENT
|
19
|
446.137593
|
-3.137025
|
-13.359886
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
23
|
540.061297
|
3.110524
|
13.247025
|
CONSISTENT
|
23
|
540.061297
|
3.110524
|
13.247025
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
24
|
563.542222
|
-4.779448
|
-20.354596
|
CONSISTENT
|
24
|
563.542222
|
-4.779448
|
-20.354596
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
25
|
587.023148
|
4.510956
|
19.211150
|
INCONSISTENT
|
24
|
563.542222
|
-18.969970
|
-80.788850
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
25
|
587.023148
|
-9.679567
|
-41.223105
|
INCONSISTENT
|
24
|
563.542222
|
-33.160493
|
-141.223105
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
26
|
610.504074
|
2.152088
|
9.165260
|
CONSISTENT
|
26
|
610.504074
|
2.152088
|
9.165260
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
27
|
633.985000
|
5.265320
|
22.423815
|
CONSISTENT
|
27
|
633.985000
|
5.265320
|
22.423815
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
27
|
633.985000
|
-2.632660
|
-11.211908
|
CONSISTENT
|
27
|
633.985000
|
-2.632660
|
-11.211908
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
29
|
680.946852
|
10.758505
|
45.818061
|
INCONSISTENT
|
28
|
657.465926
|
-12.722421
|
-54.181939
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
30
|
704.427778
|
9.611897
|
40.934914
|
CONSISTENT
|
30
|
704.427778
|
9.611897
|
40.934914
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
32
|
751.389630
|
0.268492
|
1.143447
|
INCONSISTENT
|
33
|
774.870556
|
23.749418
|
101.143447
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
33
|
774.870556
|
-7.621480
|
-32.458175
|
INCONSISTENT
|
34
|
798.351482
|
15.859446
|
67.541825
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
34
|
798.351482
|
-2.558111
|
-10.894422
|
CONSISTENT
|
34
|
798.351482
|
-2.558111
|
-10.894422
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
35
|
821.832408
|
-8.420838
|
-35.862460
|
CONSISTENT
|
35
|
821.832408
|
-8.420838
|
-35.862460
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
37
|
868.794260
|
-1.373931
|
-5.851264
|
INCONSISTENT
|
38
|
892.275186
|
22.106995
|
94.148736
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
38
|
892.275186
|
7.916473
|
33.714482
|
CONSISTENT
|
38
|
892.275186
|
7.916473
|
33.714482
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
39
|
915.756112
|
-2.173289
|
-9.255549
|
CONSISTENT
|
39
|
915.756112
|
-2.173289
|
-9.255549
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
42
|
986.198889
|
2.173289
|
9.255549
|
CONSISTENT
|
42
|
986.198889
|
2.173289
|
9.255549
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
43
|
1009.679815
|
-7.916473
|
-33.714482
|
CONSISTENT
|
43
|
1009.679815
|
-7.916473
|
-33.714482
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
44
|
1033.160741
|
1.373931
|
5.851264
|
INCONSISTENT
|
43
|
1009.679815
|
-22.106995
|
-94.148736
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
46
|
1080.122593
|
8.420838
|
35.862460
|
CONSISTENT
|
46
|
1080.122593
|
8.420838
|
35.862460
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
47
|
1103.603519
|
2.558111
|
10.894422
|
CONSISTENT
|
47
|
1103.603519
|
2.558111
|
10.894422
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
48
|
1127.084445
|
7.621480
|
32.458175
|
INCONSISTENT
|
47
|
1103.603519
|
-15.859446
|
-67.541825
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
49
|
1150.565371
|
-0.268492
|
-1.143447
|
INCONSISTENT
|
48
|
1127.084445
|
-23.749418
|
-101.143447
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
51
|
1197.527223
|
-9.611897
|
-40.934914
|
CONSISTENT
|
51
|
1197.527223
|
-9.611897
|
-40.934914
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
52
|
1221.008149
|
-10.758505
|
-45.818061
|
INCONSISTENT
|
53
|
1244.489075
|
12.722421
|
54.181939
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
54
|
1267.970001
|
2.632660
|
11.211908
|
CONSISTENT
|
54
|
1267.970001
|
2.632660
|
11.211908
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
54
|
1267.970001
|
-5.265320
|
-22.423815
|
CONSISTENT
|
54
|
1267.970001
|
-5.265320
|
-22.423815
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
55
|
1291.450927
|
-2.152088
|
-9.165260
|
CONSISTENT
|
55
|
1291.450927
|
-2.152088
|
-9.165260
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
56
|
1314.931852
|
-4.510956
|
-19.211150
|
INCONSISTENT
|
57
|
1338.412778
|
18.969970
|
80.788850
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
57
|
1338.412778
|
4.779448
|
20.354596
|
CONSISTENT
|
57
|
1338.412778
|
4.779448
|
20.354596
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
58
|
1361.893704
|
-3.110524
|
-13.247025
|
CONSISTENT
|
58
|
1361.893704
|
-3.110524
|
-13.247025
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
62
|
1455.817408
|
3.137025
|
13.359886
|
CONSISTENT
|
62
|
1455.817408
|
3.137025
|
13.359886
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
62
|
1455.817408
|
-11.053498
|
-47.074368
|
CONSISTENT
|
62
|
1455.817408
|
-11.053498
|
-47.074368
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
65
|
1526.260186
|
5.283813
|
22.502574
|
CONSISTENT
|
65
|
1526.260186
|
5.283813
|
22.502574
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
66
|
1549.741112
|
-4.805948
|
-20.467457
|
CONSISTENT
|
66
|
1549.741112
|
-4.805948
|
-20.467457
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
68
|
1596.702964
|
-3.405517
|
-14.503333
|
INCONSISTENT
|
67
|
1573.222038
|
-26.886443
|
-114.503333
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
69
|
1620.183890
|
7.438608
|
31.679365
|
CONSISTENT
|
69
|
1620.183890
|
7.438608
|
31.679365
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
69
|
1620.183890
|
-4.180456
|
-17.803625
|
CONSISTENT
|
69
|
1620.183890
|
-4.180456
|
-17.803625
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
70
|
1643.664816
|
-10.549132
|
-44.926390
|
CONSISTENT
|
70
|
1643.664816
|
-10.549132
|
-44.926390
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
71
|
1667.145741
|
4.361311
|
18.573844
|
CONSISTENT
|
71
|
1667.145741
|
4.361311
|
18.573844
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
72
|
1690.626667
|
-9.794769
|
-41.713724
|
INCONSISTENT
|
73
|
1714.107593
|
13.686157
|
58.286276
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
75
|
1761.069445
|
6.542542
|
27.863219
|
INCONSISTENT
|
76
|
1784.550371
|
30.023468
|
127.863219
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
75
|
1761.069445
|
-7.647981
|
-32.571036
|
INCONSISTENT
|
76
|
1784.550371
|
15.832945
|
67.428964
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
76
|
1784.550371
|
6.307562
|
26.862492
|
CONSISTENT
|
76
|
1784.550371
|
6.307562
|
26.862492
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
77
|
1808.031297
|
-6.247549
|
-26.606911
|
CONSISTENT
|
77
|
1808.031297
|
-6.247549
|
-26.606911
|
31
|
3/1
|
1901.955001
|
cP5
|
81
|
1901.955001
|
0
|
0
|
CONSISTENT
|
81
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales