User:Contribution/JI intervals approximated by 71edt
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71edt divides the tritave in 71 equal steps and the octave in 44.796013 equal steps of 26.788099 cents each. Its 31-limit patent val is <45 71 104 126 155 166 183 190 203 218 222|.
| 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
|
1
|
26.788099
|
12.597576
|
47.026765
|
CONSISTENT
|
1
|
26.788099
|
12.597576
|
47.026765
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
80.364296
|
-7.311859
|
-27.295177
|
CONSISTENT
|
3
|
80.364296
|
-7.311859
|
-27.295177
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
133.940493
|
10.228301
|
38.182260
|
CONSISTENT
|
5
|
133.940493
|
10.228301
|
38.182260
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
133.940493
|
0.702918
|
2.623994
|
CONSISTENT
|
5
|
133.940493
|
0.702918
|
2.623994
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
160.728592
|
13.300494
|
49.650759
|
CONSISTENT
|
6
|
160.728592
|
13.300494
|
49.650759
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
214.304789
|
12.771224
|
47.674993
|
CONSISTENT
|
8
|
214.304789
|
12.771224
|
47.674993
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
241.092887
|
1.922318
|
7.176013
|
CONSISTENT
|
9
|
241.092887
|
1.922318
|
7.176013
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
9
|
241.092887
|
-6.648166
|
-24.817609
|
CONSISTENT
|
9
|
241.092887
|
-6.648166
|
-24.817609
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
10
|
267.880986
|
-9.709669
|
-36.246206
|
CONSISTENT
|
10
|
267.880986
|
-9.709669
|
-36.246206
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
11
|
294.669085
|
5.459365
|
20.379816
|
CONSISTENT
|
11
|
294.669085
|
5.459365
|
20.379816
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
11
|
294.669085
|
-7.177436
|
-26.793375
|
CONSISTENT
|
11
|
294.669085
|
-7.177436
|
-26.793375
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
13
|
348.245282
|
0.837341
|
3.125796
|
CONSISTENT
|
13
|
348.245282
|
0.837341
|
3.125796
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
14
|
375.033380
|
-5.945247
|
-22.193615
|
CONSISTENT
|
14
|
375.033380
|
-5.945247
|
-22.193615
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
16
|
428.609578
|
-6.474518
|
-24.169381
|
CONSISTENT
|
16
|
428.609578
|
-6.474518
|
-24.169381
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
17
|
455.397676
|
6.123059
|
22.857384
|
CONSISTENT
|
17
|
455.397676
|
6.123059
|
22.857384
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
20
|
535.761972
|
-1.188800
|
-4.437793
|
CONSISTENT
|
20
|
535.761972
|
-1.188800
|
-4.437793
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
21
|
562.550071
|
-5.771599
|
-21.545387
|
CONSISTENT
|
21
|
562.550071
|
-5.771599
|
-21.545387
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
22
|
589.338169
|
6.825977
|
25.481378
|
CONSISTENT
|
22
|
589.338169
|
6.825977
|
25.481378
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
22
|
589.338169
|
-7.364546
|
-27.491857
|
INCONSISTENT
|
23
|
616.126268
|
19.423553
|
72.508143
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
23
|
616.126268
|
7.774281
|
29.021401
|
CONSISTENT
|
23
|
616.126268
|
7.774281
|
29.021401
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
23
|
616.126268
|
-12.593413
|
-47.011223
|
CONSISTENT
|
23
|
616.126268
|
-12.593413
|
-47.011223
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
24
|
642.914366
|
6.296706
|
23.505612
|
CONSISTENT
|
24
|
642.914366
|
6.296706
|
23.505612
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
25
|
669.702465
|
-0.485882
|
-1.813799
|
CONSISTENT
|
25
|
669.702465
|
-0.485882
|
-1.813799
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
26
|
696.490564
|
1.674682
|
6.251591
|
CONSISTENT
|
26
|
696.490564
|
1.674682
|
6.251591
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
28
|
750.066761
|
-1.054377
|
-3.935991
|
CONSISTENT
|
28
|
750.066761
|
-1.054377
|
-3.935991
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
29
|
776.854860
|
-5.637176
|
-21.043585
|
CONSISTENT
|
29
|
776.854860
|
-5.637176
|
-21.043585
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
30
|
803.642958
|
2.733365
|
10.203654
|
CONSISTENT
|
30
|
803.642958
|
2.733365
|
10.203654
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
31
|
830.431057
|
0.177811
|
0.663769
|
CONSISTENT
|
31
|
830.431057
|
0.177811
|
0.663769
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
32
|
857.219155
|
-12.949035
|
-48.338762
|
CONSISTENT
|
32
|
857.219155
|
-12.949035
|
-48.338762
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
33
|
884.007254
|
-0.351459
|
-1.311997
|
CONSISTENT
|
33
|
884.007254
|
-0.351459
|
-1.311997
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
34
|
910.795353
|
-7.134048
|
-26.631407
|
CONSISTENT
|
34
|
910.795353
|
-7.134048
|
-26.631407
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
37
|
991.159648
|
7.134048
|
26.631407
|
CONSISTENT
|
37
|
991.159648
|
7.134048
|
26.631407
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
38
|
1017.947747
|
0.351459
|
1.311997
|
CONSISTENT
|
38
|
1017.947747
|
0.351459
|
1.311997
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
39
|
1044.735846
|
12.949035
|
48.338762
|
CONSISTENT
|
39
|
1044.735846
|
12.949035
|
48.338762
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
40
|
1071.523944
|
-0.177811
|
-0.663769
|
CONSISTENT
|
40
|
1071.523944
|
-0.177811
|
-0.663769
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
41
|
1098.312043
|
-2.733365
|
-10.203654
|
CONSISTENT
|
41
|
1098.312043
|
-2.733365
|
-10.203654
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
42
|
1125.100141
|
5.637176
|
21.043585
|
CONSISTENT
|
42
|
1125.100141
|
5.637176
|
21.043585
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
43
|
1151.888240
|
1.054377
|
3.935991
|
CONSISTENT
|
43
|
1151.888240
|
1.054377
|
3.935991
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
45
|
1205.464437
|
-1.674682
|
-6.251591
|
CONSISTENT
|
45
|
1205.464437
|
-1.674682
|
-6.251591
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
46
|
1232.252536
|
0.485882
|
1.813799
|
CONSISTENT
|
46
|
1232.252536
|
0.485882
|
1.813799
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
47
|
1259.040634
|
-6.296706
|
-23.505612
|
CONSISTENT
|
47
|
1259.040634
|
-6.296706
|
-23.505612
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
48
|
1285.828733
|
12.593413
|
47.011223
|
CONSISTENT
|
48
|
1285.828733
|
12.593413
|
47.011223
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
48
|
1285.828733
|
-7.774281
|
-29.021401
|
CONSISTENT
|
48
|
1285.828733
|
-7.774281
|
-29.021401
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
49
|
1312.616832
|
-6.825977
|
-25.481378
|
CONSISTENT
|
49
|
1312.616832
|
-6.825977
|
-25.481378
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
50
|
1339.404930
|
5.771599
|
21.545387
|
CONSISTENT
|
50
|
1339.404930
|
5.771599
|
21.545387
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
51
|
1366.193029
|
1.188800
|
4.437793
|
CONSISTENT
|
51
|
1366.193029
|
1.188800
|
4.437793
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
54
|
1446.557325
|
-6.123059
|
-22.857384
|
CONSISTENT
|
54
|
1446.557325
|
-6.123059
|
-22.857384
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
55
|
1473.345423
|
6.474518
|
24.169381
|
CONSISTENT
|
55
|
1473.345423
|
6.474518
|
24.169381
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
57
|
1526.921620
|
5.945247
|
22.193615
|
CONSISTENT
|
57
|
1526.921620
|
5.945247
|
22.193615
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
58
|
1553.709719
|
-0.837341
|
-3.125796
|
CONSISTENT
|
58
|
1553.709719
|
-0.837341
|
-3.125796
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
60
|
1607.285916
|
7.177436
|
26.793375
|
CONSISTENT
|
60
|
1607.285916
|
7.177436
|
26.793375
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
60
|
1607.285916
|
-5.459365
|
-20.379816
|
CONSISTENT
|
60
|
1607.285916
|
-5.459365
|
-20.379816
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
61
|
1634.074015
|
9.709669
|
36.246206
|
CONSISTENT
|
61
|
1634.074015
|
9.709669
|
36.246206
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
62
|
1660.862113
|
6.648166
|
24.817609
|
CONSISTENT
|
62
|
1660.862113
|
6.648166
|
24.817609
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
62
|
1660.862113
|
-1.922318
|
-7.176013
|
CONSISTENT
|
62
|
1660.862113
|
-1.922318
|
-7.176013
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
63
|
1687.650212
|
-12.771224
|
-47.674993
|
CONSISTENT
|
63
|
1687.650212
|
-12.771224
|
-47.674993
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
65
|
1741.226409
|
-13.300494
|
-49.650759
|
CONSISTENT
|
65
|
1741.226409
|
-13.300494
|
-49.650759
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
66
|
1768.014508
|
-0.702918
|
-2.623994
|
CONSISTENT
|
66
|
1768.014508
|
-0.702918
|
-2.623994
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
66
|
1768.014508
|
-10.228301
|
-38.182260
|
CONSISTENT
|
66
|
1768.014508
|
-10.228301
|
-38.182260
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
68
|
1821.590705
|
7.311859
|
27.295177
|
CONSISTENT
|
68
|
1821.590705
|
7.311859
|
27.295177
|
31
|
3/1
|
1901.955001
|
cP5
|
71
|
1901.955001
|
0
|
0
|
CONSISTENT
|
71
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales