User:Contribution/JI intervals approximated by 68edt
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68edt divides the tritave in 68 equal steps and the octave in 42.903223 equal steps of 27.969926 cents each. Its 31-limit patent val is <43 68 100 120 148 159 175 182 194 208 213|.
| 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
|
27.969926
|
13.779404
|
49.265071
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-50.734929
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
83.909779
|
-3.766375
|
-13.465803
|
INCONSISTENT
|
4
|
111.879706
|
24.203551
|
86.534197
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
111.879706
|
-11.832486
|
-42.304314
|
CONSISTENT
|
4
|
111.879706
|
-11.832486
|
-42.304314
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
139.849632
|
6.612058
|
23.639882
|
INCONSISTENT
|
4
|
111.879706
|
-21.357869
|
-76.360118
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
139.849632
|
-7.578465
|
-27.095048
|
INCONSISTENT
|
4
|
111.879706
|
-35.548391
|
-127.095048
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
195.789485
|
-5.744079
|
-20.536627
|
CONSISTENT
|
7
|
195.789485
|
-5.744079
|
-20.536627
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
251.729338
|
12.558768
|
44.900971
|
CONSISTENT
|
9
|
251.729338
|
12.558768
|
44.900971
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
9
|
251.729338
|
3.988285
|
14.259192
|
CONSISTENT
|
9
|
251.729338
|
3.988285
|
14.259192
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
10
|
279.699265
|
2.108610
|
7.538845
|
CONSISTENT
|
10
|
279.699265
|
2.108610
|
7.538845
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
10
|
279.699265
|
-9.510455
|
-34.002430
|
INCONSISTENT
|
11
|
307.669191
|
18.459472
|
65.997570
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
11
|
307.669191
|
5.822671
|
20.817613
|
INCONSISTENT
|
12
|
335.639118
|
33.792597
|
120.817613
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
12
|
335.639118
|
-11.768823
|
-42.076703
|
CONSISTENT
|
12
|
335.639118
|
-11.768823
|
-42.076703
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
14
|
391.578971
|
10.600343
|
37.899073
|
INCONSISTENT
|
13
|
363.609044
|
-17.369584
|
-62.100927
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
16
|
447.518824
|
12.434728
|
44.457494
|
CONSISTENT
|
16
|
447.518824
|
12.434728
|
44.457494
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
16
|
447.518824
|
-1.755794
|
-6.277435
|
CONSISTENT
|
16
|
447.518824
|
-1.755794
|
-6.277435
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
19
|
531.428603
|
-5.522169
|
-19.743238
|
INCONSISTENT
|
20
|
559.398530
|
22.447757
|
80.256762
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
20
|
559.398530
|
-8.923140
|
-31.902624
|
CONSISTENT
|
20
|
559.398530
|
-8.923140
|
-31.902624
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
21
|
587.368456
|
4.856264
|
17.362447
|
INCONSISTENT
|
20
|
559.398530
|
-23.113663
|
-82.637553
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
21
|
587.368456
|
-9.334259
|
-33.372483
|
INCONSISTENT
|
20
|
559.398530
|
-37.304185
|
-133.372483
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
22
|
615.338383
|
6.986396
|
24.978243
|
CONSISTENT
|
22
|
615.338383
|
6.986396
|
24.978243
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
22
|
615.338383
|
-13.381298
|
-47.841735
|
CONSISTENT
|
22
|
615.338383
|
-13.381298
|
-47.841735
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
23
|
643.308309
|
6.690649
|
23.920868
|
CONSISTENT
|
23
|
643.308309
|
6.690649
|
23.920868
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
24
|
671.278236
|
1.089888
|
3.896644
|
CONSISTENT
|
24
|
671.278236
|
1.089888
|
3.896644
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
25
|
699.248162
|
4.432281
|
15.846594
|
INCONSISTENT
|
24
|
671.278236
|
-23.537646
|
-84.153406
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
27
|
755.188015
|
4.066877
|
14.540177
|
INCONSISTENT
|
28
|
783.157942
|
32.036803
|
114.540177
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
28
|
783.157942
|
0.665906
|
2.380792
|
CONSISTENT
|
28
|
783.157942
|
0.665906
|
2.380792
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
29
|
811.127868
|
10.218275
|
36.533078
|
CONSISTENT
|
29
|
811.127868
|
10.218275
|
36.533078
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
30
|
839.097794
|
8.844549
|
31.621638
|
INCONSISTENT
|
29
|
811.127868
|
-19.125378
|
-68.378362
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
31
|
867.067721
|
-3.100470
|
-11.085011
|
INCONSISTENT
|
32
|
895.037647
|
24.869457
|
88.914989
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
32
|
895.037647
|
10.678934
|
38.180059
|
CONSISTENT
|
32
|
895.037647
|
10.678934
|
38.180059
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
33
|
923.007574
|
5.078174
|
18.155835
|
CONSISTENT
|
33
|
923.007574
|
5.078174
|
18.155835
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
35
|
978.947427
|
-5.078174
|
-18.155835
|
CONSISTENT
|
35
|
978.947427
|
-5.078174
|
-18.155835
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
36
|
1006.917353
|
-10.678934
|
-38.180059
|
CONSISTENT
|
36
|
1006.917353
|
-10.678934
|
-38.180059
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
37
|
1034.887280
|
3.100470
|
11.085011
|
INCONSISTENT
|
36
|
1006.917353
|
-24.869457
|
-88.914989
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
38
|
1062.857206
|
-8.844549
|
-31.621638
|
INCONSISTENT
|
39
|
1090.827133
|
19.125378
|
68.378362
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
39
|
1090.827133
|
-10.218275
|
-36.533078
|
CONSISTENT
|
39
|
1090.827133
|
-10.218275
|
-36.533078
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
40
|
1118.797059
|
-0.665906
|
-2.380792
|
CONSISTENT
|
40
|
1118.797059
|
-0.665906
|
-2.380792
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
41
|
1146.766986
|
-4.066877
|
-14.540177
|
INCONSISTENT
|
40
|
1118.797059
|
-32.036803
|
-114.540177
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
43
|
1202.706839
|
-4.432281
|
-15.846594
|
INCONSISTENT
|
44
|
1230.676765
|
23.537646
|
84.153406
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
44
|
1230.676765
|
-1.089888
|
-3.896644
|
CONSISTENT
|
44
|
1230.676765
|
-1.089888
|
-3.896644
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
45
|
1258.646692
|
-6.690649
|
-23.920868
|
CONSISTENT
|
45
|
1258.646692
|
-6.690649
|
-23.920868
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
46
|
1286.616618
|
13.381298
|
47.841735
|
CONSISTENT
|
46
|
1286.616618
|
13.381298
|
47.841735
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
46
|
1286.616618
|
-6.986396
|
-24.978243
|
CONSISTENT
|
46
|
1286.616618
|
-6.986396
|
-24.978243
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
47
|
1314.586545
|
-4.856264
|
-17.362447
|
INCONSISTENT
|
48
|
1342.556471
|
23.113663
|
82.637553
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
48
|
1342.556471
|
8.923140
|
31.902624
|
CONSISTENT
|
48
|
1342.556471
|
8.923140
|
31.902624
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
49
|
1370.526398
|
5.522169
|
19.743238
|
INCONSISTENT
|
48
|
1342.556471
|
-22.447757
|
-80.256762
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
52
|
1454.436177
|
1.755794
|
6.277435
|
CONSISTENT
|
52
|
1454.436177
|
1.755794
|
6.277435
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
52
|
1454.436177
|
-12.434728
|
-44.457494
|
CONSISTENT
|
52
|
1454.436177
|
-12.434728
|
-44.457494
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
54
|
1510.376030
|
-10.600343
|
-37.899073
|
INCONSISTENT
|
55
|
1538.345957
|
17.369584
|
62.100927
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
56
|
1566.315883
|
11.768823
|
42.076703
|
CONSISTENT
|
56
|
1566.315883
|
11.768823
|
42.076703
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
57
|
1594.285810
|
-5.822671
|
-20.817613
|
INCONSISTENT
|
56
|
1566.315883
|
-33.792597
|
-120.817613
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
58
|
1622.255736
|
9.510455
|
34.002430
|
INCONSISTENT
|
57
|
1594.285810
|
-18.459472
|
-65.997570
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
58
|
1622.255736
|
-2.108610
|
-7.538845
|
CONSISTENT
|
58
|
1622.255736
|
-2.108610
|
-7.538845
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
59
|
1650.225663
|
-3.988285
|
-14.259192
|
CONSISTENT
|
59
|
1650.225663
|
-3.988285
|
-14.259192
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
59
|
1650.225663
|
-12.558768
|
-44.900971
|
CONSISTENT
|
59
|
1650.225663
|
-12.558768
|
-44.900971
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
61
|
1706.165515
|
5.744079
|
20.536627
|
CONSISTENT
|
61
|
1706.165515
|
5.744079
|
20.536627
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
63
|
1762.105368
|
7.578465
|
27.095048
|
INCONSISTENT
|
64
|
1790.075295
|
35.548391
|
127.095048
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
63
|
1762.105368
|
-6.612058
|
-23.639882
|
INCONSISTENT
|
64
|
1790.075295
|
21.357869
|
76.360118
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
64
|
1790.075295
|
11.832486
|
42.304314
|
CONSISTENT
|
64
|
1790.075295
|
11.832486
|
42.304314
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
65
|
1818.045221
|
3.766375
|
13.465803
|
INCONSISTENT
|
64
|
1790.075295
|
-24.203551
|
-86.534197
|
31
|
3/1
|
1901.955001
|
cP5
|
68
|
1901.955001
|
0
|
0
|
CONSISTENT
|
68
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales