User:Contribution/JI intervals approximated by 85edt
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85edt divides the tritave in 85 equal steps and the octave in 53.629029 equal steps of 22.375941 cents each. Its 31-limit patent val is <54 85 125 151 186 198 219 228 243 261 266|.
| 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
|
22.375941
|
8.185419
|
36.581338
|
INCONSISTENT
|
2
|
44.751882
|
30.561360
|
136.581338
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
89.503765
|
1.827610
|
8.167746
|
INCONSISTENT
|
3
|
67.127824
|
-20.548331
|
-91.832254
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
6
|
134.255647
|
10.543456
|
47.119607
|
CONSISTENT
|
6
|
134.255647
|
10.543456
|
47.119607
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
6
|
134.255647
|
1.018072
|
4.549852
|
INCONSISTENT
|
5
|
111.879706
|
-21.357869
|
-95.450148
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
7
|
156.631588
|
9.203491
|
41.131190
|
CONSISTENT
|
7
|
156.631588
|
9.203491
|
41.131190
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
9
|
201.383471
|
-0.150094
|
-0.670783
|
CONSISTENT
|
9
|
201.383471
|
-0.150094
|
-0.670783
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
11
|
246.135353
|
6.964783
|
31.126213
|
CONSISTENT
|
11
|
246.135353
|
6.964783
|
31.126213
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
11
|
246.135353
|
-1.605700
|
-7.176011
|
INCONSISTENT
|
12
|
268.511294
|
20.770241
|
92.823989
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
12
|
268.511294
|
-9.079361
|
-40.576443
|
CONSISTENT
|
12
|
268.511294
|
-9.079361
|
-40.576443
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
13
|
290.887235
|
1.677516
|
7.496963
|
INCONSISTENT
|
12
|
268.511294
|
-20.698425
|
-92.503037
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
13
|
290.887235
|
-10.959285
|
-48.977984
|
INCONSISTENT
|
14
|
313.263177
|
11.416656
|
51.022016
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
16
|
358.015059
|
10.607118
|
47.404122
|
CONSISTENT
|
16
|
358.015059
|
10.607118
|
47.404122
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
17
|
380.391000
|
-0.587628
|
-2.626158
|
CONSISTENT
|
17
|
380.391000
|
-0.587628
|
-2.626158
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
19
|
425.142883
|
-9.941213
|
-44.428132
|
CONSISTENT
|
19
|
425.142883
|
-9.941213
|
-44.428132
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
20
|
447.518824
|
-1.755794
|
-7.846794
|
INCONSISTENT
|
21
|
469.894765
|
20.620147
|
92.153206
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
24
|
537.022588
|
0.071816
|
0.320952
|
CONSISTENT
|
24
|
537.022588
|
0.071816
|
0.320952
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
25
|
559.398530
|
-8.923140
|
-39.878280
|
INCONSISTENT
|
24
|
537.022588
|
-31.299082
|
-139.878280
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
26
|
581.774471
|
-0.737722
|
-3.296942
|
CONSISTENT
|
26
|
581.774471
|
-0.737722
|
-3.296942
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
27
|
604.150412
|
7.447697
|
33.284396
|
INCONSISTENT
|
28
|
626.526353
|
29.823638
|
133.284396
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
27
|
604.150412
|
-4.201574
|
-18.777196
|
CONSISTENT
|
27
|
604.150412
|
-4.201574
|
-18.777196
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
28
|
626.526353
|
-2.193328
|
-9.802169
|
INCONSISTENT
|
29
|
648.902294
|
20.182614
|
90.197831
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
28
|
626.526353
|
-10.091307
|
-45.098916
|
CONSISTENT
|
28
|
626.526353
|
-10.091307
|
-45.098916
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
30
|
671.278236
|
1.089888
|
4.870805
|
INCONSISTENT
|
29
|
648.902294
|
-21.286053
|
-95.129195
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
31
|
693.654177
|
-1.161704
|
-5.191757
|
INCONSISTENT
|
32
|
716.030118
|
21.214237
|
94.808243
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
34
|
760.782000
|
9.660862
|
43.175222
|
INCONSISTENT
|
35
|
783.157942
|
32.036803
|
143.175222
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
35
|
783.157942
|
0.665906
|
2.975989
|
CONSISTENT
|
35
|
783.157942
|
0.665906
|
2.975989
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
36
|
805.533883
|
4.624290
|
20.666347
|
CONSISTENT
|
36
|
805.533883
|
4.624290
|
20.666347
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
37
|
827.909824
|
-2.343422
|
-10.472952
|
INCONSISTENT
|
38
|
850.285765
|
20.032520
|
89.527048
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
39
|
872.661706
|
2.493516
|
11.143736
|
INCONSISTENT
|
38
|
850.285765
|
-19.882425
|
-88.856264
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
40
|
895.037647
|
10.678934
|
47.725074
|
CONSISTENT
|
40
|
895.037647
|
10.678934
|
47.725074
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
41
|
917.413589
|
-0.515812
|
-2.305206
|
CONSISTENT
|
41
|
917.413589
|
-0.515812
|
-2.305206
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
44
|
984.541412
|
0.515812
|
2.305206
|
CONSISTENT
|
44
|
984.541412
|
0.515812
|
2.305206
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
45
|
1006.917353
|
-10.678934
|
-47.725074
|
CONSISTENT
|
45
|
1006.917353
|
-10.678934
|
-47.725074
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
46
|
1029.293295
|
-2.493516
|
-11.143736
|
INCONSISTENT
|
47
|
1051.669236
|
19.882425
|
88.856264
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
48
|
1074.045177
|
2.343422
|
10.472952
|
INCONSISTENT
|
47
|
1051.669236
|
-20.032520
|
-89.527048
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
49
|
1096.421118
|
-4.624290
|
-20.666347
|
CONSISTENT
|
49
|
1096.421118
|
-4.624290
|
-20.666347
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
50
|
1118.797059
|
-0.665906
|
-2.975989
|
CONSISTENT
|
50
|
1118.797059
|
-0.665906
|
-2.975989
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
51
|
1141.173001
|
-9.660862
|
-43.175222
|
INCONSISTENT
|
50
|
1118.797059
|
-32.036803
|
-143.175222
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
54
|
1208.300824
|
1.161704
|
5.191757
|
INCONSISTENT
|
53
|
1185.924883
|
-21.214237
|
-94.808243
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
55
|
1230.676765
|
-1.089888
|
-4.870805
|
INCONSISTENT
|
56
|
1253.052706
|
21.286053
|
95.129195
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
57
|
1275.428648
|
10.091307
|
45.098916
|
CONSISTENT
|
57
|
1275.428648
|
10.091307
|
45.098916
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
57
|
1275.428648
|
2.193328
|
9.802169
|
INCONSISTENT
|
56
|
1253.052706
|
-20.182614
|
-90.197831
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
58
|
1297.804589
|
4.201574
|
18.777196
|
CONSISTENT
|
58
|
1297.804589
|
4.201574
|
18.777196
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
59
|
1320.180530
|
0.737722
|
3.296942
|
CONSISTENT
|
59
|
1320.180530
|
0.737722
|
3.296942
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
60
|
1342.556471
|
8.923140
|
39.878280
|
INCONSISTENT
|
61
|
1364.932412
|
31.299082
|
139.878280
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
61
|
1364.932412
|
-0.071816
|
-0.320952
|
CONSISTENT
|
61
|
1364.932412
|
-0.071816
|
-0.320952
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
65
|
1454.436177
|
1.755794
|
7.846794
|
INCONSISTENT
|
64
|
1432.060236
|
-20.620147
|
-92.153206
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
66
|
1476.812118
|
9.941213
|
44.428132
|
CONSISTENT
|
66
|
1476.812118
|
9.941213
|
44.428132
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
68
|
1521.564001
|
0.587628
|
2.626158
|
CONSISTENT
|
68
|
1521.564001
|
0.587628
|
2.626158
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
69
|
1543.939942
|
-10.607118
|
-47.404122
|
CONSISTENT
|
69
|
1543.939942
|
-10.607118
|
-47.404122
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
72
|
1611.067765
|
10.959285
|
48.977984
|
INCONSISTENT
|
71
|
1588.691824
|
-11.416656
|
-51.022016
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
72
|
1611.067765
|
-1.677516
|
-7.496963
|
INCONSISTENT
|
73
|
1633.443707
|
20.698425
|
92.503037
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
73
|
1633.443707
|
9.079361
|
40.576443
|
CONSISTENT
|
73
|
1633.443707
|
9.079361
|
40.576443
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
74
|
1655.819648
|
1.605700
|
7.176011
|
INCONSISTENT
|
73
|
1633.443707
|
-20.770241
|
-92.823989
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
74
|
1655.819648
|
-6.964783
|
-31.126213
|
CONSISTENT
|
74
|
1655.819648
|
-6.964783
|
-31.126213
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
76
|
1700.571530
|
0.150094
|
0.670783
|
CONSISTENT
|
76
|
1700.571530
|
0.150094
|
0.670783
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
78
|
1745.323413
|
-9.203491
|
-41.131190
|
CONSISTENT
|
78
|
1745.323413
|
-9.203491
|
-41.131190
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
79
|
1767.699354
|
-1.018072
|
-4.549852
|
INCONSISTENT
|
80
|
1790.075295
|
21.357869
|
95.450148
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
79
|
1767.699354
|
-10.543456
|
-47.119607
|
CONSISTENT
|
79
|
1767.699354
|
-10.543456
|
-47.119607
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
81
|
1812.451236
|
-1.827610
|
-8.167746
|
INCONSISTENT
|
82
|
1834.827177
|
20.548331
|
91.832254
|
31
|
3/1
|
1901.955001
|
cP5
|
85
|
1901.955001
|
0
|
0
|
CONSISTENT
|
85
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales