User:Contribution/JI intervals approximated by 11edt
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11edt divides the tritave in 11 equal steps and the octave in 6.940227 equal steps of 172.905000 cents each. Its 31-limit patent val is <7 11 16 19 24 26 28 29 31 34 34|.
| 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
|
-8.207121
|
INCONSISTENT
|
-1
|
-172.905000
|
-187.095523
|
-108.207121
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
172.905000
|
85.228845
|
49.292297
|
CONSISTENT
|
1
|
172.905000
|
85.228845
|
49.292297
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
172.905000
|
49.192809
|
28.450773
|
CONSISTENT
|
1
|
172.905000
|
49.192809
|
28.450773
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
172.905000
|
39.667425
|
22.941746
|
CONSISTENT
|
1
|
172.905000
|
39.667425
|
22.941746
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
172.905000
|
25.476903
|
14.734625
|
INCONSISTENT
|
0
|
0
|
-147.428097
|
-85.265375
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
1
|
172.905000
|
-28.628565
|
-16.557395
|
CONSISTENT
|
1
|
172.905000
|
-28.628565
|
-16.557395
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
1
|
172.905000
|
-66.265570
|
-38.324843
|
CONSISTENT
|
1
|
172.905000
|
-66.265570
|
-38.324843
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
1
|
172.905000
|
-74.836053
|
-43.281601
|
CONSISTENT
|
1
|
172.905000
|
-74.836053
|
-43.281601
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
2
|
345.810000
|
68.219345
|
39.454813
|
CONSISTENT
|
2
|
345.810000
|
68.219345
|
39.454813
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
2
|
345.810000
|
56.600281
|
32.734901
|
CONSISTENT
|
2
|
345.810000
|
56.600281
|
32.734901
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
2
|
345.810000
|
43.963480
|
25.426378
|
CONSISTENT
|
2
|
345.810000
|
43.963480
|
25.426378
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
2
|
345.810000
|
-1.597940
|
-0.924173
|
CONSISTENT
|
2
|
345.810000
|
-1.597940
|
-0.924173
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
2
|
345.810000
|
-35.168628
|
-20.339856
|
CONSISTENT
|
2
|
345.810000
|
-35.168628
|
-20.339856
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
3
|
518.715000
|
83.630905
|
48.368124
|
CONSISTENT
|
3
|
518.715000
|
83.630905
|
48.368124
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
3
|
518.715000
|
69.440382
|
40.161003
|
INCONSISTENT
|
2
|
345.810000
|
-103.464618
|
-59.838997
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
3
|
518.715000
|
-18.235772
|
-10.546700
|
CONSISTENT
|
3
|
518.715000
|
-18.235772
|
-10.546700
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
3
|
518.715000
|
-49.606670
|
-28.690130
|
INCONSISTENT
|
4
|
691.620000
|
123.298330
|
71.309870
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
3
|
518.715000
|
-63.797192
|
-36.897251
|
CONSISTENT
|
3
|
518.715000
|
-63.797192
|
-36.897251
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
3
|
518.715000
|
-77.987715
|
-45.104372
|
INCONSISTENT
|
2
|
345.810000
|
-250.892715
|
-145.104372
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
4
|
691.620000
|
83.268014
|
48.158245
|
CONSISTENT
|
4
|
691.620000
|
83.268014
|
48.158245
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
4
|
691.620000
|
62.900320
|
36.378543
|
INCONSISTENT
|
3
|
518.715000
|
-110.004681
|
-63.621457
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
4
|
691.620000
|
55.002340
|
31.810729
|
CONSISTENT
|
4
|
691.620000
|
55.002340
|
31.810729
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
4
|
691.620000
|
21.431653
|
12.395045
|
CONSISTENT
|
4
|
691.620000
|
21.431653
|
12.395045
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
4
|
691.620000
|
-3.195881
|
-1.848345
|
CONSISTENT
|
4
|
691.620000
|
-3.195881
|
-1.848345
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
4
|
691.620000
|
-59.501138
|
-34.412618
|
CONSISTENT
|
4
|
691.620000
|
-59.501138
|
-34.412618
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
5
|
864.525000
|
82.032964
|
47.443952
|
CONSISTENT
|
5
|
864.525000
|
82.032964
|
47.443952
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
5
|
864.525000
|
63.615407
|
36.792115
|
CONSISTENT
|
5
|
864.525000
|
63.615407
|
36.792115
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
5
|
864.525000
|
34.271755
|
19.821147
|
INCONSISTENT
|
4
|
691.620000
|
-138.633245
|
-80.178853
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
5
|
864.525000
|
-5.643190
|
-3.263752
|
INCONSISTENT
|
6
|
1037.430000
|
167.261810
|
96.736248
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
5
|
864.525000
|
-19.833713
|
-11.470873
|
CONSISTENT
|
5
|
864.525000
|
-19.833713
|
-11.470873
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
5
|
864.525000
|
-53.404400
|
-30.886556
|
CONSISTENT
|
5
|
864.525000
|
-53.404400
|
-30.886556
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
6
|
1037.430000
|
53.404400
|
30.886556
|
CONSISTENT
|
6
|
1037.430000
|
53.404400
|
30.886556
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
6
|
1037.430000
|
19.833713
|
11.470873
|
CONSISTENT
|
6
|
1037.430000
|
19.833713
|
11.470873
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
6
|
1037.430000
|
5.643190
|
3.263752
|
INCONSISTENT
|
5
|
864.525000
|
-167.261810
|
-96.736248
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
6
|
1037.430000
|
-34.271755
|
-19.821147
|
INCONSISTENT
|
7
|
1210.335001
|
138.633245
|
80.178853
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
6
|
1037.430000
|
-63.615407
|
-36.792115
|
CONSISTENT
|
6
|
1037.430000
|
-63.615407
|
-36.792115
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
6
|
1037.430000
|
-82.032964
|
-47.443952
|
CONSISTENT
|
6
|
1037.430000
|
-82.032964
|
-47.443952
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
7
|
1210.335001
|
59.501138
|
34.412618
|
CONSISTENT
|
7
|
1210.335001
|
59.501138
|
34.412618
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
7
|
1210.335001
|
3.195881
|
1.848345
|
CONSISTENT
|
7
|
1210.335001
|
3.195881
|
1.848345
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
7
|
1210.335001
|
-21.431653
|
-12.395045
|
CONSISTENT
|
7
|
1210.335001
|
-21.431653
|
-12.395045
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
7
|
1210.335001
|
-55.002340
|
-31.810729
|
CONSISTENT
|
7
|
1210.335001
|
-55.002340
|
-31.810729
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
7
|
1210.335001
|
-62.900320
|
-36.378543
|
INCONSISTENT
|
8
|
1383.240001
|
110.004681
|
63.621457
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
7
|
1210.335001
|
-83.268014
|
-48.158245
|
CONSISTENT
|
7
|
1210.335001
|
-83.268014
|
-48.158245
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
8
|
1383.240001
|
63.797192
|
36.897251
|
CONSISTENT
|
8
|
1383.240001
|
63.797192
|
36.897251
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
8
|
1383.240001
|
49.606670
|
28.690130
|
INCONSISTENT
|
7
|
1210.335001
|
-123.298330
|
-71.309870
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
8
|
1383.240001
|
18.235772
|
10.546700
|
CONSISTENT
|
8
|
1383.240001
|
18.235772
|
10.546700
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
8
|
1383.240001
|
-69.440382
|
-40.161003
|
INCONSISTENT
|
9
|
1556.145001
|
103.464618
|
59.838997
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
8
|
1383.240001
|
-83.630905
|
-48.368124
|
CONSISTENT
|
8
|
1383.240001
|
-83.630905
|
-48.368124
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
9
|
1556.145001
|
35.168628
|
20.339856
|
CONSISTENT
|
9
|
1556.145001
|
35.168628
|
20.339856
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
9
|
1556.145001
|
1.597940
|
0.924173
|
CONSISTENT
|
9
|
1556.145001
|
1.597940
|
0.924173
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
9
|
1556.145001
|
-43.963480
|
-25.426378
|
CONSISTENT
|
9
|
1556.145001
|
-43.963480
|
-25.426378
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
9
|
1556.145001
|
-56.600281
|
-32.734901
|
CONSISTENT
|
9
|
1556.145001
|
-56.600281
|
-32.734901
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
9
|
1556.145001
|
-68.219345
|
-39.454813
|
CONSISTENT
|
9
|
1556.145001
|
-68.219345
|
-39.454813
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
10
|
1729.050001
|
74.836053
|
43.281601
|
CONSISTENT
|
10
|
1729.050001
|
74.836053
|
43.281601
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
10
|
1729.050001
|
66.265570
|
38.324843
|
CONSISTENT
|
10
|
1729.050001
|
66.265570
|
38.324843
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
10
|
1729.050001
|
28.628565
|
16.557395
|
CONSISTENT
|
10
|
1729.050001
|
28.628565
|
16.557395
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
10
|
1729.050001
|
-25.476903
|
-14.734625
|
INCONSISTENT
|
11
|
1901.955001
|
147.428097
|
85.265375
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
10
|
1729.050001
|
-39.667425
|
-22.941746
|
CONSISTENT
|
10
|
1729.050001
|
-39.667425
|
-22.941746
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
10
|
1729.050001
|
-49.192809
|
-28.450773
|
CONSISTENT
|
10
|
1729.050001
|
-49.192809
|
-28.450773
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
10
|
1729.050001
|
-85.228845
|
-49.292297
|
CONSISTENT
|
10
|
1729.050001
|
-85.228845
|
-49.292297
|
31
|
3/1
|
1901.955001
|
cP5
|
11
|
1901.955001
|
0
|
0
|
CONSISTENT
|
11
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales