User:Contribution/JI intervals approximated by 33edt
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33edt divides the tritave in 33 equal steps and the octave in 20.820682 equal steps of 57.635000 cents each. Its 31-limit patent val is <21 33 48 58 72 77 85 88 94 101 103|.
| 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
|
-24.621363
|
INCONSISTENT
|
-1
|
-57.635000
|
-71.825523
|
-124.621363
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
2
|
115.270000
|
27.593845
|
47.876890
|
CONSISTENT
|
2
|
115.270000
|
27.593845
|
47.876890
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
2
|
115.270000
|
-8.442192
|
-14.647682
|
CONSISTENT
|
2
|
115.270000
|
-8.442192
|
-14.647682
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
2
|
115.270000
|
-17.967575
|
-31.174763
|
INCONSISTENT
|
3
|
172.905000
|
39.667425
|
68.825237
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
3
|
172.905000
|
25.476903
|
44.203874
|
INCONSISTENT
|
2
|
115.270000
|
-32.158097
|
-55.796126
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
3
|
172.905000
|
-28.628565
|
-49.672186
|
CONSISTENT
|
3
|
172.905000
|
-28.628565
|
-49.672186
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
4
|
230.540000
|
-8.630570
|
-14.974529
|
CONSISTENT
|
4
|
230.540000
|
-8.630570
|
-14.974529
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
4
|
230.540000
|
-17.201053
|
-29.844804
|
CONSISTENT
|
4
|
230.540000
|
-17.201053
|
-29.844804
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
5
|
288.175000
|
10.584345
|
18.364440
|
CONSISTENT
|
5
|
288.175000
|
10.584345
|
18.364440
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
5
|
288.175000
|
-1.034719
|
-1.795297
|
CONSISTENT
|
5
|
288.175000
|
-1.034719
|
-1.795297
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
5
|
288.175000
|
-13.671520
|
-23.720865
|
CONSISTENT
|
5
|
288.175000
|
-13.671520
|
-23.720865
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
6
|
345.810000
|
-1.597940
|
-2.772518
|
CONSISTENT
|
6
|
345.810000
|
-1.597940
|
-2.772518
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
7
|
403.445000
|
22.466372
|
38.980433
|
CONSISTENT
|
7
|
403.445000
|
22.466372
|
38.980433
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
8
|
461.080000
|
25.995905
|
45.104372
|
CONSISTENT
|
8
|
461.080000
|
25.995905
|
45.104372
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
8
|
461.080000
|
11.805382
|
20.483009
|
INCONSISTENT
|
7
|
403.445000
|
-45.829618
|
-79.516991
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
9
|
518.715000
|
-18.235772
|
-31.640101
|
CONSISTENT
|
9
|
518.715000
|
-18.235772
|
-31.640101
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
10
|
576.350000
|
8.028330
|
13.929609
|
INCONSISTENT
|
11
|
633.985000
|
65.663330
|
113.929609
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
10
|
576.350000
|
-6.162192
|
-10.691754
|
CONSISTENT
|
10
|
576.350000
|
-6.162192
|
-10.691754
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
10
|
576.350000
|
-20.352715
|
-35.313117
|
INCONSISTENT
|
9
|
518.715000
|
-77.987715
|
-135.313117
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
11
|
633.985000
|
25.633014
|
44.474736
|
CONSISTENT
|
11
|
633.985000
|
25.633014
|
44.474736
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
11
|
633.985000
|
5.265320
|
9.135629
|
CONSISTENT
|
11
|
633.985000
|
5.265320
|
9.135629
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
11
|
633.985000
|
-2.632660
|
-4.567814
|
CONSISTENT
|
11
|
633.985000
|
-2.632660
|
-4.567814
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
12
|
691.620000
|
21.431653
|
37.185136
|
CONSISTENT
|
12
|
691.620000
|
21.431653
|
37.185136
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
12
|
691.620000
|
-3.195881
|
-5.545035
|
CONSISTENT
|
12
|
691.620000
|
-3.195881
|
-5.545035
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
13
|
749.255000
|
-1.866138
|
-3.237855
|
INCONSISTENT
|
12
|
691.620000
|
-59.501138
|
-103.237855
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
14
|
806.890000
|
24.397964
|
42.331855
|
CONSISTENT
|
14
|
806.890000
|
24.397964
|
42.331855
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
14
|
806.890000
|
5.980407
|
10.376346
|
CONSISTENT
|
14
|
806.890000
|
5.980407
|
10.376346
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
14
|
806.890000
|
-23.363245
|
-40.536558
|
CONSISTENT
|
14
|
806.890000
|
-23.363245
|
-40.536558
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
15
|
864.525000
|
-5.643190
|
-9.791256
|
INCONSISTENT
|
16
|
922.160000
|
51.991810
|
90.208744
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
15
|
864.525000
|
-19.833713
|
-34.412618
|
CONSISTENT
|
15
|
864.525000
|
-19.833713
|
-34.412618
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
16
|
922.160000
|
4.230600
|
7.340332
|
CONSISTENT
|
16
|
922.160000
|
4.230600
|
7.340332
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
17
|
979.795000
|
-4.230600
|
-7.340332
|
CONSISTENT
|
17
|
979.795000
|
-4.230600
|
-7.340332
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
18
|
1037.430000
|
19.833713
|
34.412618
|
CONSISTENT
|
18
|
1037.430000
|
19.833713
|
34.412618
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
18
|
1037.430000
|
5.643190
|
9.791256
|
INCONSISTENT
|
17
|
979.795000
|
-51.991810
|
-90.208744
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
19
|
1095.065000
|
23.363245
|
40.536558
|
CONSISTENT
|
19
|
1095.065000
|
23.363245
|
40.536558
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
19
|
1095.065000
|
-5.980407
|
-10.376346
|
CONSISTENT
|
19
|
1095.065000
|
-5.980407
|
-10.376346
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
19
|
1095.065000
|
-24.397964
|
-42.331855
|
CONSISTENT
|
19
|
1095.065000
|
-24.397964
|
-42.331855
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
20
|
1152.700001
|
1.866138
|
3.237855
|
INCONSISTENT
|
21
|
1210.335001
|
59.501138
|
103.237855
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
21
|
1210.335001
|
3.195881
|
5.545035
|
CONSISTENT
|
21
|
1210.335001
|
3.195881
|
5.545035
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
21
|
1210.335001
|
-21.431653
|
-37.185136
|
CONSISTENT
|
21
|
1210.335001
|
-21.431653
|
-37.185136
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
22
|
1267.970001
|
2.632660
|
4.567814
|
CONSISTENT
|
22
|
1267.970001
|
2.632660
|
4.567814
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
22
|
1267.970001
|
-5.265320
|
-9.135629
|
CONSISTENT
|
22
|
1267.970001
|
-5.265320
|
-9.135629
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
22
|
1267.970001
|
-25.633014
|
-44.474736
|
CONSISTENT
|
22
|
1267.970001
|
-25.633014
|
-44.474736
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
23
|
1325.605001
|
6.162192
|
10.691754
|
CONSISTENT
|
23
|
1325.605001
|
6.162192
|
10.691754
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
23
|
1325.605001
|
-8.028330
|
-13.929609
|
INCONSISTENT
|
22
|
1267.970001
|
-65.663330
|
-113.929609
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
24
|
1383.240001
|
18.235772
|
31.640101
|
CONSISTENT
|
24
|
1383.240001
|
18.235772
|
31.640101
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
25
|
1440.875001
|
-11.805382
|
-20.483009
|
INCONSISTENT
|
26
|
1498.510001
|
45.829618
|
79.516991
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
25
|
1440.875001
|
-25.995905
|
-45.104372
|
CONSISTENT
|
25
|
1440.875001
|
-25.995905
|
-45.104372
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
26
|
1498.510001
|
-22.466372
|
-38.980433
|
CONSISTENT
|
26
|
1498.510001
|
-22.466372
|
-38.980433
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
27
|
1556.145001
|
1.597940
|
2.772518
|
CONSISTENT
|
27
|
1556.145001
|
1.597940
|
2.772518
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
28
|
1613.780001
|
13.671520
|
23.720865
|
CONSISTENT
|
28
|
1613.780001
|
13.671520
|
23.720865
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
28
|
1613.780001
|
1.034719
|
1.795297
|
CONSISTENT
|
28
|
1613.780001
|
1.034719
|
1.795297
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
28
|
1613.780001
|
-10.584345
|
-18.364440
|
CONSISTENT
|
28
|
1613.780001
|
-10.584345
|
-18.364440
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
29
|
1671.415001
|
17.201053
|
29.844804
|
CONSISTENT
|
29
|
1671.415001
|
17.201053
|
29.844804
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
29
|
1671.415001
|
8.630570
|
14.974529
|
CONSISTENT
|
29
|
1671.415001
|
8.630570
|
14.974529
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
30
|
1729.050001
|
28.628565
|
49.672186
|
CONSISTENT
|
30
|
1729.050001
|
28.628565
|
49.672186
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
30
|
1729.050001
|
-25.476903
|
-44.203874
|
INCONSISTENT
|
31
|
1786.685001
|
32.158097
|
55.796126
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
31
|
1786.685001
|
17.967575
|
31.174763
|
INCONSISTENT
|
30
|
1729.050001
|
-39.667425
|
-68.825237
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
31
|
1786.685001
|
8.442192
|
14.647682
|
CONSISTENT
|
31
|
1786.685001
|
8.442192
|
14.647682
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
31
|
1786.685001
|
-27.593845
|
-47.876890
|
CONSISTENT
|
31
|
1786.685001
|
-27.593845
|
-47.876890
|
31
|
3/1
|
1901.955001
|
cP5
|
33
|
1901.955001
|
0
|
0
|
CONSISTENT
|
33
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales