User:Contribution/JI intervals approximated by 7edt
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7edt divides the tritave in 7 equal steps and the octave in 4.416508 equal steps of 271.707857 cents each. Its 31-limit patent val is <4 7 10 12 15 16 18 19 20 21 22|.
| 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
|
-5.222713
|
INCONSISTENT
|
-1
|
-271.707857
|
-285.898380
|
-105.222713
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
0
|
0
|
-87.676155
|
-32.268539
|
INCONSISTENT
|
1
|
271.707857
|
184.031703
|
67.731461
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
0
|
0
|
-123.712192
|
-45.531326
|
CONSISTENT
|
0
|
0
|
-123.712192
|
-45.531326
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
0
|
0
|
-133.237575
|
-49.037071
|
INCONSISTENT
|
1
|
271.707857
|
138.470282
|
50.962929
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
271.707857
|
124.279760
|
45.740216
|
INCONSISTENT
|
0
|
0
|
-147.428097
|
-54.259784
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
1
|
271.707857
|
70.174292
|
25.827112
|
INCONSISTENT
|
0
|
0
|
-201.533565
|
-74.172888
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
1
|
271.707857
|
32.537287
|
11.975100
|
CONSISTENT
|
1
|
271.707857
|
32.537287
|
11.975100
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
1
|
271.707857
|
23.966804
|
8.820799
|
CONSISTENT
|
1
|
271.707857
|
23.966804
|
8.820799
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
1
|
271.707857
|
-5.882798
|
-2.165119
|
CONSISTENT
|
1
|
271.707857
|
-5.882798
|
-2.165119
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
1
|
271.707857
|
-17.501862
|
-6.441427
|
CONSISTENT
|
1
|
271.707857
|
-17.501862
|
-6.441427
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
1
|
271.707857
|
-30.138663
|
-11.092305
|
CONSISTENT
|
1
|
271.707857
|
-30.138663
|
-11.092305
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
1
|
271.707857
|
-75.700083
|
-27.860837
|
CONSISTENT
|
1
|
271.707857
|
-75.700083
|
-27.860837
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
1
|
271.707857
|
-109.270771
|
-40.216272
|
INCONSISTENT
|
2
|
543.415715
|
162.437087
|
59.783728
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
2
|
543.415715
|
108.331619
|
39.870624
|
CONSISTENT
|
2
|
543.415715
|
108.331619
|
39.870624
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
2
|
543.415715
|
94.141097
|
34.647911
|
INCONSISTENT
|
1
|
271.707857
|
-177.566760
|
-65.352089
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
2
|
543.415715
|
6.464942
|
2.379373
|
CONSISTENT
|
2
|
543.415715
|
6.464942
|
2.379373
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
2
|
543.415715
|
-24.905956
|
-9.166447
|
INCONSISTENT
|
3
|
815.123572
|
246.801902
|
90.833553
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
2
|
543.415715
|
-39.096478
|
-14.389160
|
CONSISTENT
|
2
|
543.415715
|
-39.096478
|
-14.389160
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
2
|
543.415715
|
-53.287001
|
-19.611873
|
INCONSISTENT
|
1
|
271.707857
|
-324.994858
|
-119.611873
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
2
|
543.415715
|
-64.936272
|
-23.899299
|
CONSISTENT
|
2
|
543.415715
|
-64.936272
|
-23.899299
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
2
|
543.415715
|
-85.303966
|
-31.395473
|
INCONSISTENT
|
3
|
815.123572
|
186.403891
|
68.604527
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
2
|
543.415715
|
-93.201946
|
-34.302264
|
CONSISTENT
|
2
|
543.415715
|
-93.201946
|
-34.302264
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
2
|
543.415715
|
-126.772633
|
-46.657698
|
INCONSISTENT
|
3
|
815.123572
|
144.935225
|
53.342302
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
3
|
815.123572
|
120.307691
|
44.278326
|
INCONSISTENT
|
2
|
543.415715
|
-151.400167
|
-55.721674
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
3
|
815.123572
|
64.002434
|
23.555606
|
INCONSISTENT
|
2
|
543.415715
|
-207.705424
|
-76.444394
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
3
|
815.123572
|
32.631536
|
12.009787
|
CONSISTENT
|
3
|
815.123572
|
32.631536
|
12.009787
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
3
|
815.123572
|
14.213979
|
5.231346
|
CONSISTENT
|
3
|
815.123572
|
14.213979
|
5.231346
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
3
|
815.123572
|
-15.129674
|
-5.568361
|
CONSISTENT
|
3
|
815.123572
|
-15.129674
|
-5.568361
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
3
|
815.123572
|
-55.044619
|
-20.258751
|
INCONSISTENT
|
4
|
1086.831429
|
216.663239
|
79.741249
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
3
|
815.123572
|
-69.235141
|
-25.481465
|
CONSISTENT
|
3
|
815.123572
|
-69.235141
|
-25.481465
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
3
|
815.123572
|
-102.805828
|
-37.836899
|
INCONSISTENT
|
4
|
1086.831429
|
168.902029
|
62.163101
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
4
|
1086.831429
|
102.805828
|
37.836899
|
INCONSISTENT
|
3
|
815.123572
|
-168.902029
|
-62.163101
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
4
|
1086.831429
|
69.235141
|
25.481465
|
CONSISTENT
|
4
|
1086.831429
|
69.235141
|
25.481465
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
4
|
1086.831429
|
55.044619
|
20.258751
|
INCONSISTENT
|
3
|
815.123572
|
-216.663239
|
-79.741249
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
4
|
1086.831429
|
15.129674
|
5.568361
|
CONSISTENT
|
4
|
1086.831429
|
15.129674
|
5.568361
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
4
|
1086.831429
|
-14.213979
|
-5.231346
|
CONSISTENT
|
4
|
1086.831429
|
-14.213979
|
-5.231346
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
4
|
1086.831429
|
-32.631536
|
-12.009787
|
CONSISTENT
|
4
|
1086.831429
|
-32.631536
|
-12.009787
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
4
|
1086.831429
|
-64.002434
|
-23.555606
|
INCONSISTENT
|
5
|
1358.539286
|
207.705424
|
76.444394
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
4
|
1086.831429
|
-120.307691
|
-44.278326
|
INCONSISTENT
|
5
|
1358.539286
|
151.400167
|
55.721674
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
5
|
1358.539286
|
126.772633
|
46.657698
|
INCONSISTENT
|
4
|
1086.831429
|
-144.935225
|
-53.342302
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
5
|
1358.539286
|
93.201946
|
34.302264
|
CONSISTENT
|
5
|
1358.539286
|
93.201946
|
34.302264
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
5
|
1358.539286
|
85.303966
|
31.395473
|
INCONSISTENT
|
4
|
1086.831429
|
-186.403891
|
-68.604527
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
5
|
1358.539286
|
64.936272
|
23.899299
|
CONSISTENT
|
5
|
1358.539286
|
64.936272
|
23.899299
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
5
|
1358.539286
|
39.096478
|
14.389160
|
CONSISTENT
|
5
|
1358.539286
|
39.096478
|
14.389160
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
5
|
1358.539286
|
24.905956
|
9.166447
|
INCONSISTENT
|
4
|
1086.831429
|
-246.801902
|
-90.833553
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
5
|
1358.539286
|
-6.464942
|
-2.379373
|
CONSISTENT
|
5
|
1358.539286
|
-6.464942
|
-2.379373
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
5
|
1358.539286
|
-94.141097
|
-34.647911
|
INCONSISTENT
|
6
|
1630.247144
|
177.566760
|
65.352089
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
5
|
1358.539286
|
-108.331619
|
-39.870624
|
CONSISTENT
|
5
|
1358.539286
|
-108.331619
|
-39.870624
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
6
|
1630.247144
|
109.270771
|
40.216272
|
INCONSISTENT
|
5
|
1358.539286
|
-162.437087
|
-59.783728
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
6
|
1630.247144
|
75.700083
|
27.860837
|
CONSISTENT
|
6
|
1630.247144
|
75.700083
|
27.860837
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
6
|
1630.247144
|
30.138663
|
11.092305
|
CONSISTENT
|
6
|
1630.247144
|
30.138663
|
11.092305
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
6
|
1630.247144
|
17.501862
|
6.441427
|
CONSISTENT
|
6
|
1630.247144
|
17.501862
|
6.441427
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
6
|
1630.247144
|
5.882798
|
2.165119
|
CONSISTENT
|
6
|
1630.247144
|
5.882798
|
2.165119
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
6
|
1630.247144
|
-23.966804
|
-8.820799
|
CONSISTENT
|
6
|
1630.247144
|
-23.966804
|
-8.820799
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
6
|
1630.247144
|
-32.537287
|
-11.975100
|
CONSISTENT
|
6
|
1630.247144
|
-32.537287
|
-11.975100
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
6
|
1630.247144
|
-70.174292
|
-25.827112
|
INCONSISTENT
|
7
|
1901.955001
|
201.533565
|
74.172888
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
6
|
1630.247144
|
-124.279760
|
-45.740216
|
INCONSISTENT
|
7
|
1901.955001
|
147.428097
|
54.259784
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
7
|
1901.955001
|
133.237575
|
49.037071
|
INCONSISTENT
|
6
|
1630.247144
|
-138.470282
|
-50.962929
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
7
|
1901.955001
|
123.712192
|
45.531326
|
CONSISTENT
|
7
|
1901.955001
|
123.712192
|
45.531326
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
7
|
1901.955001
|
87.676155
|
32.268539
|
INCONSISTENT
|
6
|
1630.247144
|
-184.031703
|
-67.731461
|
31
|
3/1
|
1901.955001
|
cP5
|
7
|
1901.955001
|
0
|
0
|
CONSISTENT
|
7
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales