User:Contribution/JI intervals approximated by 76edt
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76edt divides the tritave in 76 equal steps and the octave in 47.950661 equal steps of 25.025724 cents each. Its 31-limit patent val is <48 76 111 135 166 177 196 204 217 233 238|.
| 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
|
25.025724
|
10.835201
|
43.296255
|
CONSISTENT
|
1
|
25.025724
|
10.835201
|
43.296255
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
4
|
100.102895
|
12.426740
|
49.655867
|
INCONSISTENT
|
3
|
75.077171
|
-12.598984
|
-50.344133
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
125.128618
|
1.416427
|
5.659884
|
CONSISTENT
|
5
|
125.128618
|
1.416427
|
5.659884
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
125.128618
|
-8.108956
|
-32.402485
|
INCONSISTENT
|
6
|
150.154342
|
16.916767
|
67.597515
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
150.154342
|
2.726245
|
10.893770
|
INCONSISTENT
|
7
|
175.180066
|
27.751969
|
110.893770
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
200.205790
|
-1.327775
|
-5.305642
|
CONSISTENT
|
8
|
200.205790
|
-1.327775
|
-5.305642
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
10
|
250.257237
|
11.086667
|
44.301085
|
CONSISTENT
|
10
|
250.257237
|
11.086667
|
44.301085
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
250.257237
|
2.516184
|
10.054391
|
CONSISTENT
|
10
|
250.257237
|
2.516184
|
10.054391
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
275.282961
|
-2.307695
|
-9.221290
|
CONSISTENT
|
11
|
275.282961
|
-2.307695
|
-9.221290
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
12
|
300.308684
|
11.098965
|
44.350226
|
INCONSISTENT
|
11
|
275.282961
|
-13.926759
|
-55.649774
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
12
|
300.308684
|
-1.537836
|
-6.145021
|
INCONSISTENT
|
11
|
275.282961
|
-26.563560
|
-106.145021
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
14
|
350.360132
|
2.952191
|
11.796626
|
CONSISTENT
|
14
|
350.360132
|
2.952191
|
11.796626
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
15
|
375.385855
|
-5.592772
|
-22.348095
|
INCONSISTENT
|
16
|
400.411579
|
19.432951
|
77.651905
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
17
|
425.437303
|
-9.646792
|
-38.547506
|
CONSISTENT
|
17
|
425.437303
|
-9.646792
|
-38.547506
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
18
|
450.463027
|
1.188409
|
4.748749
|
CONSISTENT
|
18
|
450.463027
|
1.188409
|
4.748749
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
21
|
525.540198
|
-11.410575
|
-45.595384
|
CONSISTENT
|
21
|
525.540198
|
-11.410575
|
-45.595384
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
23
|
575.591645
|
7.269975
|
29.050009
|
CONSISTENT
|
23
|
575.591645
|
7.269975
|
29.050009
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
23
|
575.591645
|
-6.920548
|
-27.653736
|
INCONSISTENT
|
24
|
600.617369
|
18.105176
|
72.346264
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
24
|
600.617369
|
3.914654
|
15.642519
|
INCONSISTENT
|
25
|
625.643092
|
28.940377
|
115.642519
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
24
|
600.617369
|
-7.734618
|
-30.906670
|
CONSISTENT
|
24
|
600.617369
|
-7.734618
|
-30.906670
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
25
|
625.643092
|
-3.076588
|
-12.293704
|
INCONSISTENT
|
26
|
650.668816
|
21.949135
|
87.706296
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
25
|
625.643092
|
-10.974568
|
-43.853148
|
CONSISTENT
|
25
|
625.643092
|
-10.974568
|
-43.853148
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
27
|
675.694540
|
5.506193
|
22.002131
|
CONSISTENT
|
27
|
675.694540
|
5.506193
|
22.002131
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
28
|
700.720263
|
5.904382
|
23.593253
|
CONSISTENT
|
28
|
700.720263
|
5.904382
|
23.593253
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
30
|
750.771711
|
-0.349427
|
-1.396272
|
INCONSISTENT
|
29
|
725.745987
|
-25.375151
|
-101.396272
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
31
|
775.797435
|
-6.694601
|
-26.750880
|
CONSISTENT
|
31
|
775.797435
|
-6.694601
|
-26.750880
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
32
|
800.823158
|
-0.086435
|
-0.345384
|
CONSISTENT
|
32
|
800.823158
|
-0.086435
|
-0.345384
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
33
|
825.848882
|
-4.404364
|
-17.599346
|
INCONSISTENT
|
34
|
850.874606
|
20.621360
|
82.400654
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
35
|
875.900329
|
5.732139
|
22.904987
|
INCONSISTENT
|
34
|
850.874606
|
-19.293585
|
-77.095013
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
35
|
875.900329
|
-8.458384
|
-33.798757
|
CONSISTENT
|
35
|
875.900329
|
-8.458384
|
-33.798757
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
37
|
925.951777
|
8.022377
|
32.056522
|
CONSISTENT
|
37
|
925.951777
|
8.022377
|
32.056522
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
39
|
976.003224
|
-8.022377
|
-32.056522
|
CONSISTENT
|
39
|
976.003224
|
-8.022377
|
-32.056522
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
41
|
1026.054672
|
8.458384
|
33.798757
|
CONSISTENT
|
41
|
1026.054672
|
8.458384
|
33.798757
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
41
|
1026.054672
|
-5.732139
|
-22.904987
|
INCONSISTENT
|
42
|
1051.080395
|
19.293585
|
77.095013
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
43
|
1076.106119
|
4.404364
|
17.599346
|
INCONSISTENT
|
42
|
1051.080395
|
-20.621360
|
-82.400654
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
44
|
1101.131843
|
0.086435
|
0.345384
|
CONSISTENT
|
44
|
1101.131843
|
0.086435
|
0.345384
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
45
|
1126.157566
|
6.694601
|
26.750880
|
CONSISTENT
|
45
|
1126.157566
|
6.694601
|
26.750880
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
46
|
1151.183290
|
0.349427
|
1.396272
|
INCONSISTENT
|
47
|
1176.209014
|
25.375151
|
101.396272
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
48
|
1201.234737
|
-5.904382
|
-23.593253
|
CONSISTENT
|
48
|
1201.234737
|
-5.904382
|
-23.593253
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
49
|
1226.260461
|
-5.506193
|
-22.002131
|
CONSISTENT
|
49
|
1226.260461
|
-5.506193
|
-22.002131
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
51
|
1276.311908
|
10.974568
|
43.853148
|
CONSISTENT
|
51
|
1276.311908
|
10.974568
|
43.853148
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
51
|
1276.311908
|
3.076588
|
12.293704
|
INCONSISTENT
|
50
|
1251.286185
|
-21.949135
|
-87.706296
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
52
|
1301.337632
|
7.734618
|
30.906670
|
CONSISTENT
|
52
|
1301.337632
|
7.734618
|
30.906670
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
53
|
1326.363356
|
6.920548
|
27.653736
|
INCONSISTENT
|
52
|
1301.337632
|
-18.105176
|
-72.346264
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
53
|
1326.363356
|
-7.269975
|
-29.050009
|
CONSISTENT
|
53
|
1326.363356
|
-7.269975
|
-29.050009
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
55
|
1376.414803
|
11.410575
|
45.595384
|
CONSISTENT
|
55
|
1376.414803
|
11.410575
|
45.595384
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
58
|
1451.491974
|
-1.188409
|
-4.748749
|
CONSISTENT
|
58
|
1451.491974
|
-1.188409
|
-4.748749
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
59
|
1476.517698
|
9.646792
|
38.547506
|
CONSISTENT
|
59
|
1476.517698
|
9.646792
|
38.547506
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
61
|
1526.569145
|
5.592772
|
22.348095
|
INCONSISTENT
|
60
|
1501.543422
|
-19.432951
|
-77.651905
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
62
|
1551.594869
|
-2.952191
|
-11.796626
|
CONSISTENT
|
62
|
1551.594869
|
-2.952191
|
-11.796626
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
64
|
1601.646317
|
1.537836
|
6.145021
|
INCONSISTENT
|
65
|
1626.672040
|
26.563560
|
106.145021
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
64
|
1601.646317
|
-11.098965
|
-44.350226
|
INCONSISTENT
|
65
|
1626.672040
|
13.926759
|
55.649774
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
65
|
1626.672040
|
2.307695
|
9.221290
|
CONSISTENT
|
65
|
1626.672040
|
2.307695
|
9.221290
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
66
|
1651.697764
|
-2.516184
|
-10.054391
|
CONSISTENT
|
66
|
1651.697764
|
-2.516184
|
-10.054391
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
66
|
1651.697764
|
-11.086667
|
-44.301085
|
CONSISTENT
|
66
|
1651.697764
|
-11.086667
|
-44.301085
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
68
|
1701.749211
|
1.327775
|
5.305642
|
CONSISTENT
|
68
|
1701.749211
|
1.327775
|
5.305642
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
70
|
1751.800659
|
-2.726245
|
-10.893770
|
INCONSISTENT
|
69
|
1726.774935
|
-27.751969
|
-110.893770
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
71
|
1776.826382
|
8.108956
|
32.402485
|
INCONSISTENT
|
70
|
1751.800659
|
-16.916767
|
-67.597515
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
71
|
1776.826382
|
-1.416427
|
-5.659884
|
CONSISTENT
|
71
|
1776.826382
|
-1.416427
|
-5.659884
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
72
|
1801.852106
|
-12.426740
|
-49.655867
|
INCONSISTENT
|
73
|
1826.877830
|
12.598984
|
50.344133
|
31
|
3/1
|
1901.955001
|
cP5
|
76
|
1901.955001
|
0
|
0
|
CONSISTENT
|
76
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales