User:Contribution/JI intervals approximated by 14edt
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14edt divides the tritave in 14 equal steps and the octave in 8.833017 equal steps of 135.853929 cents each. Its 31-limit patent val is <9 14 21 25 31 33 36 38 40 43 44|.
| 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
|
-10.445427
|
INCONSISTENT
|
1
|
135.853929
|
121.663406
|
89.554573
|
34⋅7-1⋅11-1
|
81/77
|
87.676155
|
A17,11
|
1
|
135.853929
|
48.177774
|
35.462923
|
INCONSISTENT
|
0
|
0
|
-87.676155
|
-64.537077
|
3-3⋅291
|
29/27
|
123.712192
|
m229
|
1
|
135.853929
|
12.141737
|
8.937347
|
CONSISTENT
|
1
|
135.853929
|
12.141737
|
8.937347
|
33⋅5-2
|
27/25
|
133.237575
|
m25,5
|
1
|
135.853929
|
2.616354
|
1.925858
|
INCONSISTENT
|
0
|
0
|
-133.237575
|
-98.074142
|
3-2⋅5-1⋅72
|
49/45
|
147.428097
|
d37,75
|
1
|
135.853929
|
-11.574169
|
-8.519569
|
CONSISTENT
|
1
|
135.853929
|
-11.574169
|
-8.519569
|
3-4⋅71⋅131
|
91/81
|
201.533565
|
d37,13
|
1
|
135.853929
|
-65.679636
|
-48.345776
|
INCONSISTENT
|
2
|
271.707857
|
70.174292
|
51.654224
|
3-3⋅311
|
31/27
|
239.170570
|
M231
|
2
|
271.707857
|
32.537287
|
23.950200
|
CONSISTENT
|
2
|
271.707857
|
32.537287
|
23.950200
|
31⋅51⋅13-1
|
15/13
|
247.741053
|
A2513
|
2
|
271.707857
|
23.966804
|
17.641598
|
CONSISTENT
|
2
|
271.707857
|
23.966804
|
17.641598
|
33⋅23-1
|
27/23
|
277.590655
|
m323
|
2
|
271.707857
|
-5.882798
|
-4.330238
|
CONSISTENT
|
2
|
271.707857
|
-5.882798
|
-4.330238
|
11-1⋅131
|
13/11
|
289.209719
|
m31311
|
2
|
271.707857
|
-17.501862
|
-12.882853
|
CONSISTENT
|
2
|
271.707857
|
-17.501862
|
-12.882853
|
3-1⋅52⋅7-1
|
25/21
|
301.846520
|
A25,57
|
2
|
271.707857
|
-30.138663
|
-22.184609
|
INCONSISTENT
|
3
|
407.561786
|
105.715266
|
77.815391
|
3-2⋅111
|
11/9
|
347.407941
|
m311
|
3
|
407.561786
|
60.153845
|
44.278326
|
CONSISTENT
|
3
|
407.561786
|
60.153845
|
44.278326
|
34⋅5-1⋅13-1
|
81/65
|
380.978628
|
M35,13
|
3
|
407.561786
|
26.583158
|
19.567456
|
INCONSISTENT
|
2
|
271.707857
|
-109.270771
|
-80.432544
|
32⋅7-1
|
9/7
|
435.084095
|
M37
|
3
|
407.561786
|
-27.522309
|
-20.258751
|
CONSISTENT
|
3
|
407.561786
|
-27.522309
|
-20.258751
|
3-3⋅51⋅71
|
35/27
|
449.274618
|
P45,7
|
3
|
407.561786
|
-41.712832
|
-30.704178
|
INCONSISTENT
|
4
|
543.415715
|
94.141097
|
69.295822
|
31⋅51⋅11-1
|
15/11
|
536.950772
|
A4511
|
4
|
543.415715
|
6.464942
|
4.758745
|
CONSISTENT
|
4
|
543.415715
|
6.464942
|
4.758745
|
35⋅5-2⋅7-1
|
243/175
|
568.321670
|
P45,5,7
|
4
|
543.415715
|
-24.905956
|
-18.332893
|
INCONSISTENT
|
3
|
407.561786
|
-160.759884
|
-118.332893
|
5-1⋅71
|
7/5
|
582.512193
|
d575
|
4
|
543.415715
|
-39.096478
|
-28.778320
|
CONSISTENT
|
4
|
543.415715
|
-39.096478
|
-28.778320
|
3-5⋅73
|
343/243
|
596.702715
|
d67,7,7
|
4
|
543.415715
|
-53.287001
|
-39.223746
|
INCONSISTENT
|
5
|
679.269643
|
82.566928
|
60.776254
|
33⋅19-1
|
27/19
|
608.351986
|
A419
|
4
|
543.415715
|
-64.936272
|
-47.798597
|
CONSISTENT
|
4
|
543.415715
|
-64.936272
|
-47.798597
|
35⋅13-2
|
243/169
|
628.719681
|
AA413,13
|
5
|
679.269643
|
50.549962
|
37.209055
|
INCONSISTENT
|
4
|
543.415715
|
-85.303966
|
-62.790945
|
3-2⋅131
|
13/9
|
636.617660
|
d513
|
5
|
679.269643
|
42.651983
|
31.395473
|
CONSISTENT
|
5
|
679.269643
|
42.651983
|
31.395473
|
34⋅5-1⋅11-1
|
81/55
|
670.188347
|
P55,11
|
5
|
679.269643
|
9.081296
|
6.684603
|
INCONSISTENT
|
4
|
543.415715
|
-126.772633
|
-93.315397
|
3-4⋅112
|
121/81
|
694.815881
|
d511,11
|
5
|
679.269643
|
-15.546238
|
-11.443348
|
INCONSISTENT
|
6
|
815.123572
|
120.307691
|
88.556652
|
3-4⋅53
|
125/81
|
751.121138
|
A55,5,5
|
6
|
815.123572
|
64.002434
|
47.111213
|
INCONSISTENT
|
7
|
950.977500
|
199.856362
|
147.111213
|
7-1⋅111
|
11/7
|
782.492036
|
P5117
|
6
|
815.123572
|
32.631536
|
24.019575
|
CONSISTENT
|
6
|
815.123572
|
32.631536
|
24.019575
|
33⋅17-1
|
27/17
|
800.909593
|
A517
|
6
|
815.123572
|
14.213979
|
10.462692
|
CONSISTENT
|
6
|
815.123572
|
14.213979
|
10.462692
|
31⋅71⋅13-1
|
21/13
|
830.253246
|
M6713
|
6
|
815.123572
|
-15.129674
|
-11.136722
|
CONSISTENT
|
6
|
815.123572
|
-15.129674
|
-11.136722
|
34⋅7-2
|
81/49
|
870.168191
|
A57,7
|
6
|
815.123572
|
-55.044619
|
-40.517502
|
CONSISTENT
|
6
|
815.123572
|
-55.044619
|
-40.517502
|
3-1⋅51
|
5/3
|
884.358713
|
M65
|
7
|
950.977500
|
66.618787
|
49.037071
|
CONSISTENT
|
7
|
950.977500
|
66.618787
|
49.037071
|
35⋅11-1⋅13-1
|
243/143
|
917.929400
|
A611,13
|
7
|
950.977500
|
33.048100
|
24.326201
|
INCONSISTENT
|
6
|
815.123572
|
-102.805828
|
-75.673799
|
3-4⋅111⋅131
|
143/81
|
984.025601
|
d711,13
|
7
|
950.977500
|
-33.048100
|
-24.326201
|
INCONSISTENT
|
8
|
1086.831429
|
102.805828
|
75.673799
|
32⋅5-1
|
9/5
|
1017.596288
|
m75
|
7
|
950.977500
|
-66.618787
|
-49.037071
|
CONSISTENT
|
7
|
950.977500
|
-66.618787
|
-49.037071
|
3-3⋅72
|
49/27
|
1031.786810
|
d87,7
|
8
|
1086.831429
|
55.044619
|
40.517502
|
CONSISTENT
|
8
|
1086.831429
|
55.044619
|
40.517502
|
7-1⋅131
|
13/7
|
1071.701755
|
m7137
|
8
|
1086.831429
|
15.129674
|
11.136722
|
CONSISTENT
|
8
|
1086.831429
|
15.129674
|
11.136722
|
3-2⋅171
|
17/9
|
1101.045408
|
d817
|
8
|
1086.831429
|
-14.213979
|
-10.462692
|
CONSISTENT
|
8
|
1086.831429
|
-14.213979
|
-10.462692
|
31⋅71⋅11-1
|
21/11
|
1119.462965
|
P8711
|
8
|
1086.831429
|
-32.631536
|
-24.019575
|
CONSISTENT
|
8
|
1086.831429
|
-32.631536
|
-24.019575
|
35⋅5-3
|
243/125
|
1150.833863
|
d85,5,5
|
8
|
1086.831429
|
-64.002434
|
-47.111213
|
INCONSISTENT
|
7
|
950.977500
|
-199.856362
|
-147.111213
|
35⋅11-2
|
243/121
|
1207.139120
|
cA111,11
|
9
|
1222.685358
|
15.546238
|
11.443348
|
INCONSISTENT
|
8
|
1086.831429
|
-120.307691
|
-88.556652
|
3-3⋅51⋅111
|
55/27
|
1231.766654
|
P85,11
|
9
|
1222.685358
|
-9.081296
|
-6.684603
|
INCONSISTENT
|
10
|
1358.539286
|
126.772633
|
93.315397
|
33⋅13-1
|
27/13
|
1265.337341
|
cA113
|
9
|
1222.685358
|
-42.651983
|
-31.395473
|
CONSISTENT
|
9
|
1222.685358
|
-42.651983
|
-31.395473
|
3-4⋅132
|
169/81
|
1273.235320
|
cd213,13
|
9
|
1222.685358
|
-50.549962
|
-37.209055
|
INCONSISTENT
|
10
|
1358.539286
|
85.303966
|
62.790945
|
3-2⋅191
|
19/9
|
1293.603014
|
cm219
|
10
|
1358.539286
|
64.936272
|
47.798597
|
CONSISTENT
|
10
|
1358.539286
|
64.936272
|
47.798597
|
31⋅51⋅7-1
|
15/7
|
1319.442808
|
cA157
|
10
|
1358.539286
|
39.096478
|
28.778320
|
CONSISTENT
|
10
|
1358.539286
|
39.096478
|
28.778320
|
3-4⋅52⋅71
|
175/81
|
1333.633331
|
cM25,5,7
|
10
|
1358.539286
|
24.905956
|
18.332893
|
INCONSISTENT
|
11
|
1494.393215
|
160.759884
|
118.332893
|
5-1⋅111
|
11/5
|
1365.004228
|
cm2115
|
10
|
1358.539286
|
-6.464942
|
-4.758745
|
CONSISTENT
|
10
|
1358.539286
|
-6.464942
|
-4.758745
|
34⋅5-1⋅7-1
|
81/35
|
1452.680383
|
cM25,7
|
11
|
1494.393215
|
41.712832
|
30.704178
|
INCONSISTENT
|
10
|
1358.539286
|
-94.141097
|
-69.295822
|
3-1⋅71
|
7/3
|
1466.870906
|
cm37
|
11
|
1494.393215
|
27.522309
|
20.258751
|
CONSISTENT
|
11
|
1494.393215
|
27.522309
|
20.258751
|
3-3⋅51⋅131
|
65/27
|
1520.976373
|
cm35,13
|
11
|
1494.393215
|
-26.583158
|
-19.567456
|
INCONSISTENT
|
12
|
1630.247144
|
109.270771
|
80.432544
|
33⋅11-1
|
27/11
|
1554.547060
|
cM311
|
11
|
1494.393215
|
-60.153845
|
-44.278326
|
CONSISTENT
|
11
|
1494.393215
|
-60.153845
|
-44.278326
|
32⋅5-2⋅71
|
63/25
|
1600.108480
|
cd475,5
|
12
|
1630.247144
|
30.138663
|
22.184609
|
INCONSISTENT
|
11
|
1494.393215
|
-105.715266
|
-77.815391
|
31⋅111⋅13-1
|
33/13
|
1612.745281
|
cM31113
|
12
|
1630.247144
|
17.501862
|
12.882853
|
CONSISTENT
|
12
|
1630.247144
|
17.501862
|
12.882853
|
3-2⋅231
|
23/9
|
1624.364346
|
cM323
|
12
|
1630.247144
|
5.882798
|
4.330238
|
CONSISTENT
|
12
|
1630.247144
|
5.882798
|
4.330238
|
5-1⋅131
|
13/5
|
1654.213948
|
cd4135
|
12
|
1630.247144
|
-23.966804
|
-17.641598
|
CONSISTENT
|
12
|
1630.247144
|
-23.966804
|
-17.641598
|
34⋅31-1
|
81/31
|
1662.784431
|
cP431
|
12
|
1630.247144
|
-32.537287
|
-23.950200
|
CONSISTENT
|
12
|
1630.247144
|
-32.537287
|
-23.950200
|
35⋅7-1⋅13-1
|
243/91
|
1700.421436
|
cA37,13
|
13
|
1766.101072
|
65.679636
|
48.345776
|
INCONSISTENT
|
12
|
1630.247144
|
-70.174292
|
-51.654224
|
33⋅51⋅7-2
|
135/49
|
1754.526904
|
cA357,7
|
13
|
1766.101072
|
11.574169
|
8.519569
|
CONSISTENT
|
13
|
1766.101072
|
11.574169
|
8.519569
|
3-2⋅52
|
25/9
|
1768.717426
|
cA45,5
|
13
|
1766.101072
|
-2.616354
|
-1.925858
|
INCONSISTENT
|
14
|
1901.955001
|
133.237575
|
98.074142
|
34⋅29-1
|
81/29
|
1778.242809
|
cA429
|
13
|
1766.101072
|
-12.141737
|
-8.937347
|
CONSISTENT
|
13
|
1766.101072
|
-12.141737
|
-8.937347
|
3-3⋅71⋅111
|
77/27
|
1814.278846
|
cd57,11
|
13
|
1766.101072
|
-48.177774
|
-35.462923
|
INCONSISTENT
|
14
|
1901.955001
|
87.676155
|
64.537077
|
31
|
3/1
|
1901.955001
|
cP5
|
14
|
1901.955001
|
0
|
0
|
CONSISTENT
|
14
|
1901.955001
|
0
|
0
|
Main article: JI intervals approximated by various scales