User:Contribution/JI intervals approximated by 67edt
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67edt divides the tritave in 67 equal steps and the octave in 42.272293 equal steps of 28.387388 cents each. Its 31-limit patent val is <42 67 98 119 146 156 173 180 191 205 209|.
| 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
|
0
|
0
|
-14.190522
|
-49.988828
|
INCONSISTENT
|
1
|
28.387388
|
14.196866
|
50.011172
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
85.162164
|
-2.513990
|
-8.856012
|
CONSISTENT
|
3
|
85.162164
|
-2.513990
|
-8.856012
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
113.549552
|
-10.162639
|
-35.799839
|
CONSISTENT
|
4
|
113.549552
|
-10.162639
|
-35.799839
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
141.936940
|
8.699365
|
30.645178
|
CONSISTENT
|
5
|
141.936940
|
8.699365
|
30.645178
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
5
|
141.936940
|
-5.491157
|
-19.343650
|
INCONSISTENT
|
6
|
170.324328
|
22.896231
|
80.656350
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
7
|
198.711717
|
-2.821848
|
-9.940500
|
CONSISTENT
|
7
|
198.711717
|
-2.821848
|
-9.940500
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
8
|
227.099105
|
-12.071465
|
-42.524044
|
CONSISTENT
|
8
|
227.099105
|
-12.071465
|
-42.524044
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
9
|
255.486493
|
7.745440
|
27.284792
|
CONSISTENT
|
9
|
255.486493
|
7.745440
|
27.284792
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
10
|
283.873881
|
6.283225
|
22.133862
|
CONSISTENT
|
10
|
283.873881
|
6.283225
|
22.133862
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
10
|
283.873881
|
-5.335839
|
-18.796512
|
CONSISTENT
|
10
|
283.873881
|
-5.335839
|
-18.796512
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
11
|
312.261269
|
10.414748
|
36.687942
|
INCONSISTENT
|
10
|
283.873881
|
-17.972640
|
-63.312058
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
12
|
340.648657
|
-6.759284
|
-23.810869
|
CONSISTENT
|
12
|
340.648657
|
-6.759284
|
-23.810869
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
13
|
369.036045
|
-11.942583
|
-42.070031
|
INCONSISTENT
|
14
|
397.423433
|
16.444805
|
57.929969
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
15
|
425.810821
|
-9.273274
|
-32.666881
|
CONSISTENT
|
15
|
425.810821
|
-9.273274
|
-32.666881
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
16
|
454.198209
|
4.923591
|
17.344292
|
CONSISTENT
|
16
|
454.198209
|
4.923591
|
17.344292
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
19
|
539.360373
|
2.409601
|
8.488280
|
CONSISTENT
|
19
|
539.360373
|
2.409601
|
8.488280
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
20
|
567.747761
|
-0.573909
|
-2.021703
|
CONSISTENT
|
20
|
567.747761
|
-0.573909
|
-2.021703
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
21
|
596.135150
|
13.622957
|
47.989469
|
CONSISTENT
|
21
|
596.135150
|
13.622957
|
47.989469
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
21
|
596.135150
|
-0.567566
|
-1.999358
|
INCONSISTENT
|
22
|
624.522538
|
27.819823
|
98.000642
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
21
|
596.135150
|
-12.216837
|
-43.036143
|
CONSISTENT
|
21
|
596.135150
|
-12.216837
|
-43.036143
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
22
|
624.522538
|
-4.197143
|
-14.785239
|
INCONSISTENT
|
23
|
652.909926
|
24.190245
|
85.214761
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
22
|
624.522538
|
-12.095122
|
-42.607380
|
CONSISTENT
|
22
|
624.522538
|
-12.095122
|
-42.607380
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
24
|
681.297314
|
11.108967
|
39.133458
|
CONSISTENT
|
24
|
681.297314
|
11.108967
|
39.133458
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
24
|
681.297314
|
-13.518568
|
-47.621738
|
CONSISTENT
|
24
|
681.297314
|
-13.518568
|
-47.621738
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
26
|
738.072090
|
-13.049048
|
-45.967766
|
CONSISTENT
|
26
|
738.072090
|
-13.049048
|
-45.967766
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
28
|
794.846866
|
12.354830
|
43.522250
|
INCONSISTENT
|
27
|
766.459478
|
-16.032558
|
-56.477750
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
28
|
794.846866
|
-6.062727
|
-21.357115
|
CONSISTENT
|
28
|
794.846866
|
-6.062727
|
-21.357115
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
29
|
823.234254
|
-7.018991
|
-24.725739
|
INCONSISTENT
|
30
|
851.621642
|
21.368397
|
75.274261
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
31
|
880.009030
|
9.840840
|
34.666239
|
INCONSISTENT
|
30
|
851.621642
|
-18.546548
|
-65.333761
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
31
|
880.009030
|
-4.349683
|
-15.322589
|
CONSISTENT
|
31
|
880.009030
|
-4.349683
|
-15.322589
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
32
|
908.396418
|
-9.532982
|
-33.581751
|
INCONSISTENT
|
33
|
936.783806
|
18.854406
|
66.418249
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
35
|
993.558583
|
9.532982
|
33.581751
|
INCONSISTENT
|
34
|
965.171194
|
-18.854406
|
-66.418249
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
36
|
1021.945971
|
4.349683
|
15.322589
|
CONSISTENT
|
36
|
1021.945971
|
4.349683
|
15.322589
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
36
|
1021.945971
|
-9.840840
|
-34.666239
|
INCONSISTENT
|
37
|
1050.333359
|
18.546548
|
65.333761
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
38
|
1078.720747
|
7.018991
|
24.725739
|
INCONSISTENT
|
37
|
1050.333359
|
-21.368397
|
-75.274261
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
39
|
1107.108135
|
6.062727
|
21.357115
|
CONSISTENT
|
39
|
1107.108135
|
6.062727
|
21.357115
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
39
|
1107.108135
|
-12.354830
|
-43.522250
|
INCONSISTENT
|
40
|
1135.495523
|
16.032558
|
56.477750
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
41
|
1163.882911
|
13.049048
|
45.967766
|
CONSISTENT
|
41
|
1163.882911
|
13.049048
|
45.967766
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
43
|
1220.657687
|
13.518568
|
47.621738
|
CONSISTENT
|
43
|
1220.657687
|
13.518568
|
47.621738
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
43
|
1220.657687
|
-11.108967
|
-39.133458
|
CONSISTENT
|
43
|
1220.657687
|
-11.108967
|
-39.133458
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
45
|
1277.432463
|
12.095122
|
42.607380
|
CONSISTENT
|
45
|
1277.432463
|
12.095122
|
42.607380
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
45
|
1277.432463
|
4.197143
|
14.785239
|
INCONSISTENT
|
44
|
1249.045075
|
-24.190245
|
-85.214761
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
46
|
1305.819851
|
12.216837
|
43.036143
|
CONSISTENT
|
46
|
1305.819851
|
12.216837
|
43.036143
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
46
|
1305.819851
|
-13.622957
|
-47.989469
|
CONSISTENT
|
46
|
1305.819851
|
-13.622957
|
-47.989469
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
47
|
1334.207239
|
0.573909
|
2.021703
|
CONSISTENT
|
47
|
1334.207239
|
0.573909
|
2.021703
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
48
|
1362.594627
|
-2.409601
|
-8.488280
|
CONSISTENT
|
48
|
1362.594627
|
-2.409601
|
-8.488280
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
51
|
1447.756792
|
-4.923591
|
-17.344292
|
CONSISTENT
|
51
|
1447.756792
|
-4.923591
|
-17.344292
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
52
|
1476.144180
|
9.273274
|
32.666881
|
CONSISTENT
|
52
|
1476.144180
|
9.273274
|
32.666881
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
54
|
1532.918956
|
11.942583
|
42.070031
|
INCONSISTENT
|
53
|
1504.531568
|
-16.444805
|
-57.929969
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
55
|
1561.306344
|
6.759284
|
23.810869
|
CONSISTENT
|
55
|
1561.306344
|
6.759284
|
23.810869
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
56
|
1589.693732
|
-10.414748
|
-36.687942
|
INCONSISTENT
|
57
|
1618.081120
|
17.972640
|
63.312058
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
57
|
1618.081120
|
5.335839
|
18.796512
|
CONSISTENT
|
57
|
1618.081120
|
5.335839
|
18.796512
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
57
|
1618.081120
|
-6.283225
|
-22.133862
|
CONSISTENT
|
57
|
1618.081120
|
-6.283225
|
-22.133862
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
58
|
1646.468508
|
-7.745440
|
-27.284792
|
CONSISTENT
|
58
|
1646.468508
|
-7.745440
|
-27.284792
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
59
|
1674.855896
|
12.071465
|
42.524044
|
CONSISTENT
|
59
|
1674.855896
|
12.071465
|
42.524044
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
60
|
1703.243284
|
2.821848
|
9.940500
|
CONSISTENT
|
60
|
1703.243284
|
2.821848
|
9.940500
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
62
|
1760.018061
|
5.491157
|
19.343650
|
INCONSISTENT
|
61
|
1731.630672
|
-22.896231
|
-80.656350
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
62
|
1760.018061
|
-8.699365
|
-30.645178
|
CONSISTENT
|
62
|
1760.018061
|
-8.699365
|
-30.645178
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
63
|
1788.405449
|
10.162639
|
35.799839
|
CONSISTENT
|
63
|
1788.405449
|
10.162639
|
35.799839
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
64
|
1816.792837
|
2.513990
|
8.856012
|
CONSISTENT
|
64
|
1816.792837
|
2.513990
|
8.856012
|
31
|
3/1
|
1901.955001
|
cP5
|
67
|
1901.955001
|
0
|
0
|
CONSISTENT
|
67
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales