User:Contribution/JI intervals approximated by 74edt
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74edt divides the tritave in 74 equal steps and the octave in 46.688802 equal steps of 25.702095 cents each. Its 31-limit patent val is <47 74 108 131 162 173 191 198 211 227 231|.
| 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
|
25.702095
|
11.511572
|
44.788459
|
INCONSISTENT
|
0
|
0
|
-14.190522
|
-55.211541
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
3
|
77.106284
|
-10.569871
|
-41.124550
|
CONSISTENT
|
3
|
77.106284
|
-10.569871
|
-41.124550
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
5
|
128.510473
|
4.798281
|
18.668834
|
CONSISTENT
|
5
|
128.510473
|
4.798281
|
18.668834
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
5
|
128.510473
|
-4.727102
|
-18.391893
|
INCONSISTENT
|
6
|
154.212568
|
20.974993
|
81.608107
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
6
|
154.212568
|
6.784470
|
26.396566
|
CONSISTENT
|
6
|
154.212568
|
6.784470
|
26.396566
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
8
|
205.616757
|
4.083192
|
15.886612
|
CONSISTENT
|
8
|
205.616757
|
4.083192
|
15.886612
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
9
|
231.318851
|
-7.851718
|
-30.548944
|
CONSISTENT
|
9
|
231.318851
|
-7.851718
|
-30.548944
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
10
|
257.020946
|
9.279893
|
36.105591
|
INCONSISTENT
|
9
|
231.318851
|
-16.422202
|
-63.894409
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
11
|
282.723041
|
5.132385
|
19.968743
|
CONSISTENT
|
11
|
282.723041
|
5.132385
|
19.968743
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
11
|
282.723041
|
-6.486679
|
-25.237938
|
CONSISTENT
|
11
|
282.723041
|
-6.486679
|
-25.237938
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
12
|
308.425135
|
6.578615
|
25.595637
|
INCONSISTENT
|
11
|
282.723041
|
-19.123480
|
-74.404363
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
14
|
359.829324
|
12.421384
|
48.328294
|
CONSISTENT
|
14
|
359.829324
|
12.421384
|
48.328294
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
15
|
385.531419
|
4.552791
|
17.713697
|
CONSISTENT
|
15
|
385.531419
|
4.552791
|
17.713697
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
17
|
436.935608
|
1.851513
|
7.203744
|
CONSISTENT
|
17
|
436.935608
|
1.851513
|
7.203744
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
17
|
436.935608
|
-12.339009
|
-48.007797
|
CONSISTENT
|
17
|
436.935608
|
-12.339009
|
-48.007797
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
21
|
539.743987
|
2.793214
|
10.867653
|
INCONSISTENT
|
20
|
514.041892
|
-22.908880
|
-89.132347
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
22
|
565.446081
|
-2.875589
|
-11.188150
|
INCONSISTENT
|
23
|
591.148176
|
22.826506
|
88.811850
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
23
|
591.148176
|
8.635983
|
33.600310
|
CONSISTENT
|
23
|
591.148176
|
8.635983
|
33.600310
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
23
|
591.148176
|
-5.554539
|
-21.611231
|
CONSISTENT
|
23
|
591.148176
|
-5.554539
|
-21.611231
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
24
|
616.850271
|
8.498284
|
33.064558
|
CONSISTENT
|
24
|
616.850271
|
8.498284
|
33.064558
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
24
|
616.850271
|
-11.869410
|
-46.180712
|
CONSISTENT
|
24
|
616.850271
|
-11.869410
|
-46.180712
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
25
|
642.552365
|
5.934705
|
23.090356
|
CONSISTENT
|
25
|
642.552365
|
5.934705
|
23.090356
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
26
|
668.254460
|
-1.933887
|
-7.524241
|
CONSISTENT
|
26
|
668.254460
|
-1.933887
|
-7.524241
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
27
|
693.956554
|
-0.859327
|
-3.343412
|
INCONSISTENT
|
28
|
719.658649
|
24.842768
|
96.656588
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
29
|
745.360744
|
-5.760395
|
-22.412160
|
INCONSISTENT
|
28
|
719.658649
|
-31.462489
|
-122.412160
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
30
|
771.062838
|
-11.429198
|
-44.467962
|
INCONSISTENT
|
31
|
796.764933
|
14.272897
|
55.532038
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
31
|
796.764933
|
-4.144660
|
-16.125769
|
CONSISTENT
|
31
|
796.764933
|
-4.144660
|
-16.125769
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
32
|
822.467027
|
-7.786218
|
-30.294100
|
CONSISTENT
|
32
|
822.467027
|
-7.786218
|
-30.294100
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
34
|
873.871217
|
3.703026
|
14.407488
|
CONSISTENT
|
34
|
873.871217
|
3.703026
|
14.407488
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
34
|
873.871217
|
-10.487496
|
-40.804053
|
CONSISTENT
|
34
|
873.871217
|
-10.487496
|
-40.804053
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
36
|
925.275406
|
7.346006
|
28.581350
|
INCONSISTENT
|
35
|
899.573311
|
-18.356089
|
-71.418650
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
38
|
976.679595
|
-7.346006
|
-28.581350
|
INCONSISTENT
|
39
|
1002.381690
|
18.356089
|
71.418650
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
40
|
1028.083784
|
10.487496
|
40.804053
|
CONSISTENT
|
40
|
1028.083784
|
10.487496
|
40.804053
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
40
|
1028.083784
|
-3.703026
|
-14.407488
|
CONSISTENT
|
40
|
1028.083784
|
-3.703026
|
-14.407488
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
42
|
1079.487973
|
7.786218
|
30.294100
|
CONSISTENT
|
42
|
1079.487973
|
7.786218
|
30.294100
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
43
|
1105.190068
|
4.144660
|
16.125769
|
CONSISTENT
|
43
|
1105.190068
|
4.144660
|
16.125769
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
44
|
1130.892163
|
11.429198
|
44.467962
|
INCONSISTENT
|
43
|
1105.190068
|
-14.272897
|
-55.532038
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
45
|
1156.594257
|
5.760395
|
22.412160
|
INCONSISTENT
|
46
|
1182.296352
|
31.462489
|
122.412160
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
47
|
1207.998446
|
0.859327
|
3.343412
|
INCONSISTENT
|
46
|
1182.296352
|
-24.842768
|
-96.656588
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
48
|
1233.700541
|
1.933887
|
7.524241
|
CONSISTENT
|
48
|
1233.700541
|
1.933887
|
7.524241
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
49
|
1259.402636
|
-5.934705
|
-23.090356
|
CONSISTENT
|
49
|
1259.402636
|
-5.934705
|
-23.090356
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
50
|
1285.104730
|
11.869410
|
46.180712
|
CONSISTENT
|
50
|
1285.104730
|
11.869410
|
46.180712
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
50
|
1285.104730
|
-8.498284
|
-33.064558
|
CONSISTENT
|
50
|
1285.104730
|
-8.498284
|
-33.064558
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
51
|
1310.806825
|
-8.635983
|
-33.600310
|
CONSISTENT
|
51
|
1310.806825
|
-8.635983
|
-33.600310
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
52
|
1336.508920
|
2.875589
|
11.188150
|
INCONSISTENT
|
51
|
1310.806825
|
-22.826506
|
-88.811850
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
53
|
1362.211014
|
-2.793214
|
-10.867653
|
INCONSISTENT
|
54
|
1387.913109
|
22.908880
|
89.132347
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
57
|
1465.019393
|
12.339009
|
48.007797
|
CONSISTENT
|
57
|
1465.019393
|
12.339009
|
48.007797
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
57
|
1465.019393
|
-1.851513
|
-7.203744
|
CONSISTENT
|
57
|
1465.019393
|
-1.851513
|
-7.203744
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
59
|
1516.423582
|
-4.552791
|
-17.713697
|
CONSISTENT
|
59
|
1516.423582
|
-4.552791
|
-17.713697
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
60
|
1542.125676
|
-12.421384
|
-48.328294
|
CONSISTENT
|
60
|
1542.125676
|
-12.421384
|
-48.328294
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
62
|
1593.529866
|
-6.578615
|
-25.595637
|
INCONSISTENT
|
63
|
1619.231960
|
19.123480
|
74.404363
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
63
|
1619.231960
|
6.486679
|
25.237938
|
CONSISTENT
|
63
|
1619.231960
|
6.486679
|
25.237938
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
63
|
1619.231960
|
-5.132385
|
-19.968743
|
CONSISTENT
|
63
|
1619.231960
|
-5.132385
|
-19.968743
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
64
|
1644.934055
|
-9.279893
|
-36.105591
|
INCONSISTENT
|
65
|
1670.636149
|
16.422202
|
63.894409
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
65
|
1670.636149
|
7.851718
|
30.548944
|
CONSISTENT
|
65
|
1670.636149
|
7.851718
|
30.548944
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
66
|
1696.338244
|
-4.083192
|
-15.886612
|
CONSISTENT
|
66
|
1696.338244
|
-4.083192
|
-15.886612
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
68
|
1747.742433
|
-6.784470
|
-26.396566
|
CONSISTENT
|
68
|
1747.742433
|
-6.784470
|
-26.396566
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
69
|
1773.444528
|
4.727102
|
18.391893
|
INCONSISTENT
|
68
|
1747.742433
|
-20.974993
|
-81.608107
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
69
|
1773.444528
|
-4.798281
|
-18.668834
|
CONSISTENT
|
69
|
1773.444528
|
-4.798281
|
-18.668834
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
71
|
1824.848717
|
10.569871
|
41.124550
|
CONSISTENT
|
71
|
1824.848717
|
10.569871
|
41.124550
|
31
|
3/1
|
1901.955001
|
cP5
|
74
|
1901.955001
|
0
|
0
|
CONSISTENT
|
74
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales