User:Contribution/JI intervals approximated by 8edt
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8edt divides the tritave in 8 equal steps and the octave in 5.047438 equal steps of 237.744375 cents each. Its 31-limit patent val is <5 8 12 14 17 19 21 21 23 25 25|.
| 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
|
-5.968815
|
CONSISTENT
|
0
|
0
|
-14.190522
|
-5.968815
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
0
|
0
|
-87.676155
|
-36.878330
|
INCONSISTENT
|
1
|
237.744375
|
150.068220
|
63.121670
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
237.744375
|
114.032184
|
47.964198
|
CONSISTENT
|
1
|
237.744375
|
114.032184
|
47.964198
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
237.744375
|
104.506800
|
43.957633
|
INCONSISTENT
|
0
|
0
|
-133.237575
|
-56.042367
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
237.744375
|
90.316278
|
37.988818
|
INCONSISTENT
|
0
|
0
|
-147.428097
|
-62.011182
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
1
|
237.744375
|
36.210810
|
15.230985
|
CONSISTENT
|
1
|
237.744375
|
36.210810
|
15.230985
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
1
|
237.744375
|
-1.426195
|
-0.599886
|
CONSISTENT
|
1
|
237.744375
|
-1.426195
|
-0.599886
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
1
|
237.744375
|
-9.996678
|
-4.204801
|
CONSISTENT
|
1
|
237.744375
|
-9.996678
|
-4.204801
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
1
|
237.744375
|
-39.846280
|
-16.760136
|
CONSISTENT
|
1
|
237.744375
|
-39.846280
|
-16.760136
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
1
|
237.744375
|
-51.465344
|
-21.647345
|
INCONSISTENT
|
2
|
475.488750
|
186.279031
|
78.352655
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
1
|
237.744375
|
-64.102145
|
-26.962634
|
INCONSISTENT
|
2
|
475.488750
|
173.642230
|
73.037366
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
1
|
237.744375
|
-109.663566
|
-46.126671
|
CONSISTENT
|
1
|
237.744375
|
-109.663566
|
-46.126671
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
2
|
475.488750
|
94.510122
|
39.752832
|
INCONSISTENT
|
1
|
237.744375
|
-143.234253
|
-60.247168
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
2
|
475.488750
|
40.404655
|
16.994999
|
CONSISTENT
|
2
|
475.488750
|
40.404655
|
16.994999
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
2
|
475.488750
|
26.214132
|
11.026184
|
CONSISTENT
|
2
|
475.488750
|
26.214132
|
11.026184
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
2
|
475.488750
|
-61.462022
|
-25.852146
|
INCONSISTENT
|
3
|
713.233125
|
176.282353
|
74.147854
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
2
|
475.488750
|
-92.832920
|
-39.047368
|
CONSISTENT
|
2
|
475.488750
|
-92.832920
|
-39.047368
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
2
|
475.488750
|
-107.023442
|
-45.016183
|
CONSISTENT
|
2
|
475.488750
|
-107.023442
|
-45.016183
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
3
|
713.233125
|
116.530410
|
49.015002
|
INCONSISTENT
|
2
|
475.488750
|
-121.213965
|
-50.984998
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
3
|
713.233125
|
104.881139
|
44.115087
|
CONSISTENT
|
3
|
713.233125
|
104.881139
|
44.115087
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
3
|
713.233125
|
84.513445
|
35.548031
|
INCONSISTENT
|
2
|
475.488750
|
-153.230931
|
-64.451969
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
3
|
713.233125
|
76.615465
|
32.225984
|
CONSISTENT
|
3
|
713.233125
|
76.615465
|
32.225984
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
3
|
713.233125
|
43.044778
|
18.105487
|
CONSISTENT
|
3
|
713.233125
|
43.044778
|
18.105487
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
3
|
713.233125
|
18.417244
|
7.746658
|
INCONSISTENT
|
2
|
475.488750
|
-219.327131
|
-92.253342
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
3
|
713.233125
|
-37.888013
|
-15.936450
|
INCONSISTENT
|
4
|
950.977500
|
199.856362
|
84.063550
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
3
|
713.233125
|
-69.258911
|
-29.131672
|
CONSISTENT
|
3
|
713.233125
|
-69.258911
|
-29.131672
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
3
|
713.233125
|
-87.676468
|
-36.878461
|
CONSISTENT
|
3
|
713.233125
|
-87.676468
|
-36.878461
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
3
|
713.233125
|
-117.020120
|
-49.220984
|
CONSISTENT
|
3
|
713.233125
|
-117.020120
|
-49.220984
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
4
|
950.977500
|
80.809310
|
33.989999
|
CONSISTENT
|
4
|
950.977500
|
80.809310
|
33.989999
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
4
|
950.977500
|
66.618787
|
28.021183
|
CONSISTENT
|
4
|
950.977500
|
66.618787
|
28.021183
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
4
|
950.977500
|
33.048100
|
13.900686
|
CONSISTENT
|
4
|
950.977500
|
33.048100
|
13.900686
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
4
|
950.977500
|
-33.048100
|
-13.900686
|
CONSISTENT
|
4
|
950.977500
|
-33.048100
|
-13.900686
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
4
|
950.977500
|
-66.618787
|
-28.021183
|
CONSISTENT
|
4
|
950.977500
|
-66.618787
|
-28.021183
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
4
|
950.977500
|
-80.809310
|
-33.989999
|
CONSISTENT
|
4
|
950.977500
|
-80.809310
|
-33.989999
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
5
|
1188.721876
|
117.020120
|
49.220984
|
CONSISTENT
|
5
|
1188.721876
|
117.020120
|
49.220984
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
5
|
1188.721876
|
87.676468
|
36.878461
|
CONSISTENT
|
5
|
1188.721876
|
87.676468
|
36.878461
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
5
|
1188.721876
|
69.258911
|
29.131672
|
CONSISTENT
|
5
|
1188.721876
|
69.258911
|
29.131672
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
5
|
1188.721876
|
37.888013
|
15.936450
|
INCONSISTENT
|
4
|
950.977500
|
-199.856362
|
-84.063550
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
5
|
1188.721876
|
-18.417244
|
-7.746658
|
INCONSISTENT
|
6
|
1426.466251
|
219.327131
|
92.253342
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
5
|
1188.721876
|
-43.044778
|
-18.105487
|
CONSISTENT
|
5
|
1188.721876
|
-43.044778
|
-18.105487
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
5
|
1188.721876
|
-76.615465
|
-32.225984
|
CONSISTENT
|
5
|
1188.721876
|
-76.615465
|
-32.225984
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
5
|
1188.721876
|
-84.513445
|
-35.548031
|
INCONSISTENT
|
6
|
1426.466251
|
153.230931
|
64.451969
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
5
|
1188.721876
|
-104.881139
|
-44.115087
|
CONSISTENT
|
5
|
1188.721876
|
-104.881139
|
-44.115087
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
6
|
1426.466251
|
107.023442
|
45.016183
|
CONSISTENT
|
6
|
1426.466251
|
107.023442
|
45.016183
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
6
|
1426.466251
|
92.832920
|
39.047368
|
CONSISTENT
|
6
|
1426.466251
|
92.832920
|
39.047368
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
6
|
1426.466251
|
61.462022
|
25.852146
|
INCONSISTENT
|
5
|
1188.721876
|
-176.282353
|
-74.147854
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
6
|
1426.466251
|
-26.214132
|
-11.026184
|
CONSISTENT
|
6
|
1426.466251
|
-26.214132
|
-11.026184
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
6
|
1426.466251
|
-40.404655
|
-16.994999
|
CONSISTENT
|
6
|
1426.466251
|
-40.404655
|
-16.994999
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
6
|
1426.466251
|
-94.510122
|
-39.752832
|
INCONSISTENT
|
7
|
1664.210626
|
143.234253
|
60.247168
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
7
|
1664.210626
|
109.663566
|
46.126671
|
CONSISTENT
|
7
|
1664.210626
|
109.663566
|
46.126671
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
7
|
1664.210626
|
64.102145
|
26.962634
|
INCONSISTENT
|
6
|
1426.466251
|
-173.642230
|
-73.037366
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
7
|
1664.210626
|
51.465344
|
21.647345
|
INCONSISTENT
|
6
|
1426.466251
|
-186.279031
|
-78.352655
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
7
|
1664.210626
|
39.846280
|
16.760136
|
CONSISTENT
|
7
|
1664.210626
|
39.846280
|
16.760136
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
7
|
1664.210626
|
9.996678
|
4.204801
|
CONSISTENT
|
7
|
1664.210626
|
9.996678
|
4.204801
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
7
|
1664.210626
|
1.426195
|
0.599886
|
CONSISTENT
|
7
|
1664.210626
|
1.426195
|
0.599886
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
7
|
1664.210626
|
-36.210810
|
-15.230985
|
CONSISTENT
|
7
|
1664.210626
|
-36.210810
|
-15.230985
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
7
|
1664.210626
|
-90.316278
|
-37.988818
|
INCONSISTENT
|
8
|
1901.955001
|
147.428097
|
62.011182
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
7
|
1664.210626
|
-104.506800
|
-43.957633
|
INCONSISTENT
|
8
|
1901.955001
|
133.237575
|
56.042367
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
7
|
1664.210626
|
-114.032184
|
-47.964198
|
CONSISTENT
|
7
|
1664.210626
|
-114.032184
|
-47.964198
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
8
|
1901.955001
|
87.676155
|
36.878330
|
INCONSISTENT
|
7
|
1664.210626
|
-150.068220
|
-63.121670
|
31
|
3/1
|
1901.955001
|
cP5
|
8
|
1901.955001
|
0
|
0
|
CONSISTENT
|
8
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales