User:Contribution/JI intervals approximated by 55edt
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55edt divides the tritave in 55 equal steps and the octave in 34.701136 equal steps of 34.581000 cents each. Its 31-limit patent val is <35 55 81 97 120 128 142 147 157 169 172|.
| 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
|
-41.035605
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-41.035605
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
103.743000
|
16.066845
|
46.461483
|
CONSISTENT
|
3
|
103.743000
|
16.066845
|
46.461483
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
4
|
138.324000
|
14.611809
|
42.253863
|
CONSISTENT
|
4
|
138.324000
|
14.611809
|
42.253863
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
4
|
138.324000
|
5.086425
|
14.708728
|
INCONSISTENT
|
3
|
103.743000
|
-29.494575
|
-85.291272
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
4
|
138.324000
|
-9.104097
|
-26.326877
|
INCONSISTENT
|
3
|
103.743000
|
-43.685097
|
-126.326877
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
6
|
207.486000
|
5.952435
|
17.213023
|
INCONSISTENT
|
5
|
172.905000
|
-28.628565
|
-82.786977
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
7
|
242.067000
|
2.896430
|
8.375785
|
CONSISTENT
|
7
|
242.067000
|
2.896430
|
8.375785
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
7
|
242.067000
|
-5.674053
|
-16.408007
|
INCONSISTENT
|
8
|
276.648000
|
28.906947
|
83.591993
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
8
|
276.648000
|
-0.942655
|
-2.725934
|
CONSISTENT
|
8
|
276.648000
|
-0.942655
|
-2.725934
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
8
|
276.648000
|
-12.561719
|
-36.325495
|
CONSISTENT
|
8
|
276.648000
|
-12.561719
|
-36.325495
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
9
|
311.229000
|
9.382480
|
27.131892
|
INCONSISTENT
|
10
|
345.810000
|
43.963480
|
127.131892
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
10
|
345.810000
|
-1.597940
|
-4.620863
|
CONSISTENT
|
10
|
345.810000
|
-1.597940
|
-4.620863
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
11
|
380.391000
|
-0.587628
|
-1.699279
|
CONSISTENT
|
11
|
380.391000
|
-0.587628
|
-1.699279
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
13
|
449.553000
|
14.468905
|
41.840620
|
CONSISTENT
|
13
|
449.553000
|
14.468905
|
41.840620
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
13
|
449.553000
|
0.278382
|
0.805016
|
CONSISTENT
|
13
|
449.553000
|
0.278382
|
0.805016
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
16
|
553.296000
|
16.345228
|
47.266499
|
CONSISTENT
|
16
|
553.296000
|
16.345228
|
47.266499
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
16
|
553.296000
|
-15.025670
|
-43.450652
|
CONSISTENT
|
16
|
553.296000
|
-15.025670
|
-43.450652
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
17
|
587.877000
|
5.364808
|
15.513744
|
INCONSISTENT
|
16
|
553.296000
|
-29.216192
|
-84.486256
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
17
|
587.877000
|
-8.825715
|
-25.521861
|
INCONSISTENT
|
16
|
553.296000
|
-43.406715
|
-125.521861
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
18
|
622.458000
|
14.106014
|
40.791226
|
CONSISTENT
|
18
|
622.458000
|
14.106014
|
40.791226
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
18
|
622.458000
|
-6.261681
|
-18.107286
|
INCONSISTENT
|
19
|
657.039000
|
28.319320
|
81.892714
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
18
|
622.458000
|
-14.159660
|
-40.946357
|
CONSISTENT
|
18
|
622.458000
|
-14.159660
|
-40.946357
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
19
|
657.039000
|
-13.149347
|
-38.024774
|
CONSISTENT
|
19
|
657.039000
|
-13.149347
|
-38.024774
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
20
|
691.620000
|
-3.195881
|
-9.241725
|
CONSISTENT
|
20
|
691.620000
|
-3.195881
|
-9.241725
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
22
|
760.782000
|
9.660862
|
27.936908
|
INCONSISTENT
|
23
|
795.363000
|
44.241862
|
127.936908
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
23
|
795.363000
|
12.870964
|
37.219758
|
CONSISTENT
|
23
|
795.363000
|
12.870964
|
37.219758
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
23
|
795.363000
|
-5.546593
|
-16.039423
|
CONSISTENT
|
23
|
795.363000
|
-5.546593
|
-16.039423
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
24
|
829.944000
|
-0.309245
|
-0.894263
|
CONSISTENT
|
24
|
829.944000
|
-0.309245
|
-0.894263
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
25
|
864.525000
|
-5.643190
|
-16.318759
|
INCONSISTENT
|
26
|
899.106000
|
28.937810
|
83.681241
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
26
|
899.106000
|
14.747287
|
42.645636
|
CONSISTENT
|
26
|
899.106000
|
14.747287
|
42.645636
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
27
|
933.687000
|
15.757600
|
45.567220
|
CONSISTENT
|
27
|
933.687000
|
15.757600
|
45.567220
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
28
|
968.268000
|
-15.757600
|
-45.567220
|
CONSISTENT
|
28
|
968.268000
|
-15.757600
|
-45.567220
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
29
|
1002.849000
|
-14.747287
|
-42.645636
|
CONSISTENT
|
29
|
1002.849000
|
-14.747287
|
-42.645636
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
30
|
1037.430000
|
5.643190
|
16.318759
|
INCONSISTENT
|
29
|
1002.849000
|
-28.937810
|
-83.681241
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
31
|
1072.011000
|
0.309245
|
0.894263
|
CONSISTENT
|
31
|
1072.011000
|
0.309245
|
0.894263
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
32
|
1106.592001
|
5.546593
|
16.039423
|
CONSISTENT
|
32
|
1106.592001
|
5.546593
|
16.039423
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
32
|
1106.592001
|
-12.870964
|
-37.219758
|
CONSISTENT
|
32
|
1106.592001
|
-12.870964
|
-37.219758
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
33
|
1141.173001
|
-9.660862
|
-27.936908
|
INCONSISTENT
|
32
|
1106.592001
|
-44.241862
|
-127.936908
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
35
|
1210.335001
|
3.195881
|
9.241725
|
CONSISTENT
|
35
|
1210.335001
|
3.195881
|
9.241725
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
36
|
1244.916001
|
13.149347
|
38.024774
|
CONSISTENT
|
36
|
1244.916001
|
13.149347
|
38.024774
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
37
|
1279.497001
|
14.159660
|
40.946357
|
CONSISTENT
|
37
|
1279.497001
|
14.159660
|
40.946357
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
37
|
1279.497001
|
6.261681
|
18.107286
|
INCONSISTENT
|
36
|
1244.916001
|
-28.319320
|
-81.892714
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
37
|
1279.497001
|
-14.106014
|
-40.791226
|
CONSISTENT
|
37
|
1279.497001
|
-14.106014
|
-40.791226
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
38
|
1314.078001
|
-5.364808
|
-15.513744
|
INCONSISTENT
|
39
|
1348.659001
|
29.216192
|
84.486256
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
39
|
1348.659001
|
15.025670
|
43.450652
|
CONSISTENT
|
39
|
1348.659001
|
15.025670
|
43.450652
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
39
|
1348.659001
|
-16.345228
|
-47.266499
|
CONSISTENT
|
39
|
1348.659001
|
-16.345228
|
-47.266499
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
42
|
1452.402001
|
-0.278382
|
-0.805016
|
CONSISTENT
|
42
|
1452.402001
|
-0.278382
|
-0.805016
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
42
|
1452.402001
|
-14.468905
|
-41.840620
|
CONSISTENT
|
42
|
1452.402001
|
-14.468905
|
-41.840620
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
44
|
1521.564001
|
0.587628
|
1.699279
|
CONSISTENT
|
44
|
1521.564001
|
0.587628
|
1.699279
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
45
|
1556.145001
|
1.597940
|
4.620863
|
CONSISTENT
|
45
|
1556.145001
|
1.597940
|
4.620863
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
46
|
1590.726001
|
-9.382480
|
-27.131892
|
INCONSISTENT
|
45
|
1556.145001
|
-43.963480
|
-127.131892
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
47
|
1625.307001
|
12.561719
|
36.325495
|
CONSISTENT
|
47
|
1625.307001
|
12.561719
|
36.325495
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
47
|
1625.307001
|
0.942655
|
2.725934
|
CONSISTENT
|
47
|
1625.307001
|
0.942655
|
2.725934
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
48
|
1659.888001
|
5.674053
|
16.408007
|
INCONSISTENT
|
47
|
1625.307001
|
-28.906947
|
-83.591993
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
48
|
1659.888001
|
-2.896430
|
-8.375785
|
CONSISTENT
|
48
|
1659.888001
|
-2.896430
|
-8.375785
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
49
|
1694.469001
|
-5.952435
|
-17.213023
|
INCONSISTENT
|
50
|
1729.050001
|
28.628565
|
82.786977
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
51
|
1763.631001
|
9.104097
|
26.326877
|
INCONSISTENT
|
52
|
1798.212001
|
43.685097
|
126.326877
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
51
|
1763.631001
|
-5.086425
|
-14.708728
|
INCONSISTENT
|
52
|
1798.212001
|
29.494575
|
85.291272
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
51
|
1763.631001
|
-14.611809
|
-42.253863
|
CONSISTENT
|
51
|
1763.631001
|
-14.611809
|
-42.253863
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
52
|
1798.212001
|
-16.066845
|
-46.461483
|
CONSISTENT
|
52
|
1798.212001
|
-16.066845
|
-46.461483
|
31
|
3/1
|
1901.955001
|
cP5
|
55
|
1901.955001
|
0
|
0
|
CONSISTENT
|
55
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales