User:Contribution/JI intervals approximated by 18edt
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18edt divides the tritave in 18 equal steps and the octave in 11.356736 equal steps of 105.664167 cents each. Its 31-limit patent val is <11 18 26 32 39 42 46 48 51 55 56|.
| 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
|
-13.429834
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-13.429834
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
105.664167
|
17.988012
|
17.023758
|
CONSISTENT
|
1
|
105.664167
|
17.988012
|
17.023758
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
105.664167
|
-18.048025
|
-17.080554
|
CONSISTENT
|
1
|
105.664167
|
-18.048025
|
-17.080554
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
105.664167
|
-27.573408
|
-26.095325
|
INCONSISTENT
|
2
|
211.328333
|
78.090759
|
73.904675
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
105.664167
|
-41.763931
|
-39.525160
|
INCONSISTENT
|
2
|
211.328333
|
63.900236
|
60.474840
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
2
|
211.328333
|
9.794769
|
9.269716
|
CONSISTENT
|
2
|
211.328333
|
9.794769
|
9.269716
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
2
|
211.328333
|
-27.842236
|
-26.349743
|
CONSISTENT
|
2
|
211.328333
|
-27.842236
|
-26.349743
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
2
|
211.328333
|
-36.412720
|
-34.460802
|
CONSISTENT
|
2
|
211.328333
|
-36.412720
|
-34.460802
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
3
|
316.992500
|
39.401845
|
37.289694
|
CONSISTENT
|
3
|
316.992500
|
39.401845
|
37.289694
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
3
|
316.992500
|
27.782781
|
26.293475
|
CONSISTENT
|
3
|
316.992500
|
27.782781
|
26.293475
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
3
|
316.992500
|
15.145980
|
14.334074
|
INCONSISTENT
|
2
|
211.328333
|
-90.518187
|
-85.665926
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
3
|
316.992500
|
-30.415440
|
-28.785010
|
CONSISTENT
|
3
|
316.992500
|
-30.415440
|
-28.785010
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
4
|
422.656667
|
41.678039
|
39.443872
|
CONSISTENT
|
4
|
422.656667
|
41.678039
|
39.443872
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
4
|
422.656667
|
-12.427428
|
-11.761252
|
CONSISTENT
|
4
|
422.656667
|
-12.427428
|
-11.761252
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
4
|
422.656667
|
-26.617951
|
-25.191086
|
CONSISTENT
|
4
|
422.656667
|
-26.617951
|
-25.191086
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
5
|
528.320834
|
-8.629939
|
-8.167328
|
CONSISTENT
|
5
|
528.320834
|
-8.629939
|
-8.167328
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
5
|
528.320834
|
-40.000837
|
-37.856577
|
INCONSISTENT
|
6
|
633.985000
|
65.663330
|
62.143423
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
6
|
633.985000
|
51.472808
|
48.713589
|
CONSISTENT
|
6
|
633.985000
|
51.472808
|
48.713589
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
6
|
633.985000
|
37.282285
|
35.283755
|
CONSISTENT
|
6
|
633.985000
|
37.282285
|
35.283755
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
6
|
633.985000
|
25.633014
|
24.258947
|
CONSISTENT
|
6
|
633.985000
|
25.633014
|
24.258947
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
6
|
633.985000
|
5.265320
|
4.983070
|
CONSISTENT
|
6
|
633.985000
|
5.265320
|
4.983070
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
6
|
633.985000
|
-2.632660
|
-2.491535
|
CONSISTENT
|
6
|
633.985000
|
-2.632660
|
-2.491535
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
6
|
633.985000
|
-36.203347
|
-34.262653
|
INCONSISTENT
|
7
|
739.649167
|
69.460820
|
65.737347
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
7
|
739.649167
|
44.833286
|
42.429981
|
INCONSISTENT
|
6
|
633.985000
|
-60.830881
|
-57.570019
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
7
|
739.649167
|
-11.471971
|
-10.857012
|
INCONSISTENT
|
6
|
633.985000
|
-117.136138
|
-110.857012
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
7
|
739.649167
|
-42.842869
|
-40.546261
|
CONSISTENT
|
7
|
739.649167
|
-42.842869
|
-40.546261
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
8
|
845.313334
|
44.403741
|
42.023462
|
CONSISTENT
|
8
|
845.313334
|
44.403741
|
42.023462
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
8
|
845.313334
|
15.060088
|
14.252787
|
CONSISTENT
|
8
|
845.313334
|
15.060088
|
14.252787
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
8
|
845.313334
|
-24.854857
|
-23.522503
|
CONSISTENT
|
8
|
845.313334
|
-24.854857
|
-23.522503
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
8
|
845.313334
|
-39.045379
|
-36.952337
|
CONSISTENT
|
8
|
845.313334
|
-39.045379
|
-36.952337
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
9
|
950.977500
|
33.048100
|
31.276545
|
CONSISTENT
|
9
|
950.977500
|
33.048100
|
31.276545
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
9
|
950.977500
|
-33.048100
|
-31.276545
|
CONSISTENT
|
9
|
950.977500
|
-33.048100
|
-31.276545
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
10
|
1056.641667
|
39.045379
|
36.952337
|
CONSISTENT
|
10
|
1056.641667
|
39.045379
|
36.952337
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
10
|
1056.641667
|
24.854857
|
23.522503
|
CONSISTENT
|
10
|
1056.641667
|
24.854857
|
23.522503
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
10
|
1056.641667
|
-15.060088
|
-14.252787
|
CONSISTENT
|
10
|
1056.641667
|
-15.060088
|
-14.252787
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
10
|
1056.641667
|
-44.403741
|
-42.023462
|
CONSISTENT
|
10
|
1056.641667
|
-44.403741
|
-42.023462
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
11
|
1162.305834
|
42.842869
|
40.546261
|
CONSISTENT
|
11
|
1162.305834
|
42.842869
|
40.546261
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
11
|
1162.305834
|
11.471971
|
10.857012
|
INCONSISTENT
|
12
|
1267.970001
|
117.136138
|
110.857012
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
11
|
1162.305834
|
-44.833286
|
-42.429981
|
INCONSISTENT
|
12
|
1267.970001
|
60.830881
|
57.570019
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
12
|
1267.970001
|
36.203347
|
34.262653
|
INCONSISTENT
|
11
|
1162.305834
|
-69.460820
|
-65.737347
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
12
|
1267.970001
|
2.632660
|
2.491535
|
CONSISTENT
|
12
|
1267.970001
|
2.632660
|
2.491535
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
12
|
1267.970001
|
-5.265320
|
-4.983070
|
CONSISTENT
|
12
|
1267.970001
|
-5.265320
|
-4.983070
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
12
|
1267.970001
|
-25.633014
|
-24.258947
|
CONSISTENT
|
12
|
1267.970001
|
-25.633014
|
-24.258947
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
12
|
1267.970001
|
-51.472808
|
-48.713589
|
CONSISTENT
|
12
|
1267.970001
|
-51.472808
|
-48.713589
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
13
|
1373.634167
|
40.000837
|
37.856577
|
INCONSISTENT
|
12
|
1267.970001
|
-65.663330
|
-62.143423
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
13
|
1373.634167
|
8.629939
|
8.167328
|
CONSISTENT
|
13
|
1373.634167
|
8.629939
|
8.167328
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
14
|
1479.298334
|
26.617951
|
25.191086
|
CONSISTENT
|
14
|
1479.298334
|
26.617951
|
25.191086
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
14
|
1479.298334
|
12.427428
|
11.761252
|
CONSISTENT
|
14
|
1479.298334
|
12.427428
|
11.761252
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
14
|
1479.298334
|
-41.678039
|
-39.443872
|
CONSISTENT
|
14
|
1479.298334
|
-41.678039
|
-39.443872
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
15
|
1584.962501
|
30.415440
|
28.785010
|
CONSISTENT
|
15
|
1584.962501
|
30.415440
|
28.785010
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
15
|
1584.962501
|
-15.145980
|
-14.334074
|
INCONSISTENT
|
16
|
1690.626667
|
90.518187
|
85.665926
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
15
|
1584.962501
|
-27.782781
|
-26.293475
|
CONSISTENT
|
15
|
1584.962501
|
-27.782781
|
-26.293475
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
15
|
1584.962501
|
-39.401845
|
-37.289694
|
CONSISTENT
|
15
|
1584.962501
|
-39.401845
|
-37.289694
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
16
|
1690.626667
|
36.412720
|
34.460802
|
CONSISTENT
|
16
|
1690.626667
|
36.412720
|
34.460802
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
16
|
1690.626667
|
27.842236
|
26.349743
|
CONSISTENT
|
16
|
1690.626667
|
27.842236
|
26.349743
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
16
|
1690.626667
|
-9.794769
|
-9.269716
|
CONSISTENT
|
16
|
1690.626667
|
-9.794769
|
-9.269716
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
17
|
1796.290834
|
41.763931
|
39.525160
|
INCONSISTENT
|
16
|
1690.626667
|
-63.900236
|
-60.474840
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
17
|
1796.290834
|
27.573408
|
26.095325
|
INCONSISTENT
|
16
|
1690.626667
|
-78.090759
|
-73.904675
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
17
|
1796.290834
|
18.048025
|
17.080554
|
CONSISTENT
|
17
|
1796.290834
|
18.048025
|
17.080554
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
17
|
1796.290834
|
-17.988012
|
-17.023758
|
CONSISTENT
|
17
|
1796.290834
|
-17.988012
|
-17.023758
|
31
|
3/1
|
1901.955001
|
cP5
|
18
|
1901.955001
|
0
|
0
|
CONSISTENT
|
18
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales