User:Contribution/JI intervals approximated by 25edt

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25edt divides the tritave in 25 equal steps and the octave in 15.773244 equal steps of 76.078200 cents each. Its 31-limit patent val is <16 25 37 44 55 58 64 67 71 77 78|.

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
-18.652548
CONSISTENT
0
0
-14.190522
-18.652548
34⋅7-1⋅11-1
81/77
87.676155
A17,11
1
76.078200
-11.597955
-15.244780
CONSISTENT
1
76.078200
-11.597955
-15.244780
3-3⋅291
29/27
123.712192
m229
2
152.156400
28.444209
37.388120
CONSISTENT
2
152.156400
28.444209
37.388120
33⋅5-2
27/25
133.237575
m25,5
2
152.156400
18.918825
24.867604
INCONSISTENT
1
76.078200
-57.159375
-75.132396
3-2⋅5-1⋅72
49/45
147.428097
d37,75
2
152.156400
4.728303
6.215056
INCONSISTENT
1
76.078200
-71.349897
-93.784944
3-4⋅71⋅131
91/81
201.533565
d37,13
3
228.234600
26.701035
35.096828
INCONSISTENT
2
152.156400
-49.377165
-64.903172
3-3⋅311
31/27
239.170570
M231
3
228.234600
-10.935970
-14.374643
CONSISTENT
3
228.234600
-10.935970
-14.374643
31⋅51⋅13-1
15/13
247.741053
A2513
3
228.234600
-19.506453
-25.640003
INCONSISTENT
4
304.312800
56.571747
74.359997
33⋅23-1
27/23
277.590655
m323
4
304.312800
26.722145
35.124576
CONSISTENT
4
304.312800
26.722145
35.124576
11-1⋅131
13/11
289.209719
m31311
4
304.312800
15.103081
19.852048
INCONSISTENT
3
228.234600
-60.975119
-80.147952
3-1⋅52⋅7-1
25/21
301.846520
A25,57
4
304.312800
2.466280
3.241769
INCONSISTENT
5
380.391000
78.544480
103.241769
3-2⋅111
11/9
347.407941
m311
5
380.391000
32.983060
43.354153
CONSISTENT
5
380.391000
32.983060
43.354153
34⋅5-1⋅13-1
81/65
380.978628
M35,13
5
380.391000
-0.587628
-0.772400
CONSISTENT
5
380.391000
-0.587628
-0.772400
32⋅7-1
9/7
435.084095
M37
6
456.469200
21.385105
28.109373
CONSISTENT
6
456.469200
21.385105
28.109373
3-3⋅51⋅71
35/27
449.274618
P45,7
6
456.469200
7.194582
9.456825
CONSISTENT
6
456.469200
7.194582
9.456825
31⋅51⋅11-1
15/11
536.950772
A4511
7
532.547400
-4.403372
-5.787955
CONSISTENT
7
532.547400
-4.403372
-5.787955
35⋅5-2⋅7-1
243/175
568.321670
P45,5,7
7
532.547400
-35.774270
-47.023024
CONSISTENT
7
532.547400
-35.774270
-47.023024
5-1⋅71
7/5
582.512193
d575
8
608.625600
26.113408
34.324429
INCONSISTENT
7
532.547400
-49.964792
-65.675571
3-5⋅73
343/243
596.702715
d67,7,7
8
608.625600
11.922885
15.671881
INCONSISTENT
7
532.547400
-64.155315
-84.328119
33⋅19-1
27/19
608.351986
A419
8
608.625600
0.273614
0.359648
CONSISTENT
8
608.625600
0.273614
0.359648
35⋅13-2
243/169
628.719681
AA413,13
8
608.625600
-20.094081
-26.412403
INCONSISTENT
9
684.703800
55.984120
73.587597
3-2⋅131
13/9
636.617660
d513
8
608.625600
-27.992060
-36.793799
CONSISTENT
8
608.625600
-27.992060
-36.793799
34⋅5-1⋅11-1
81/55
670.188347
P55,11
9
684.703800
14.515453
19.079648
INCONSISTENT
8
608.625600
-61.562747
-80.920352
3-4⋅112
121/81
694.815881
d511,11
9
684.703800
-10.112081
-13.291693
INCONSISTENT
10
760.782000
65.966119
86.708307
3-4⋅53
125/81
751.121138
A55,5,5
10
760.782000
9.660862
12.698595
INCONSISTENT
11
836.860200
85.739062
112.698595
7-1⋅111
11/7
782.492036
P5117
10
760.782000
-21.710036
-28.536474
INCONSISTENT
11
836.860200
54.368164
71.463526
33⋅17-1
27/17
800.909593
A517
11
836.860200
35.950607
47.254808
CONSISTENT
11
836.860200
35.950607
47.254808
31⋅71⋅13-1
21/13
830.253246
M6713
11
836.860200
6.606955
8.684426
CONSISTENT
11
836.860200
6.606955
8.684426
34⋅7-2
81/49
870.168191
A57,7
11
836.860200
-33.307990
-43.781254
INCONSISTENT
12
912.938400
42.770210
56.218746
3-1⋅51
5/3
884.358713
M65
12
912.938400
28.579687
37.566198
CONSISTENT
12
912.938400
28.579687
37.566198
35⋅11-1⋅13-1
243/143
917.929400
A611,13
12
912.938400
-4.991000
-6.560355
CONSISTENT
12
912.938400
-4.991000
-6.560355
3-4⋅111⋅131
143/81
984.025601
d711,13
13
989.016600
4.991000
6.560355
CONSISTENT
13
989.016600
4.991000
6.560355
32⋅5-1
9/5
1017.596288
m75
13
989.016600
-28.579687
-37.566198
CONSISTENT
13
989.016600
-28.579687
-37.566198
3-3⋅72
49/27
1031.786810
d87,7
14
1065.094800
33.307990
43.781254
INCONSISTENT
13
989.016600
-42.770210
-56.218746
7-1⋅131
13/7
1071.701755
m7137
14
1065.094800
-6.606955
-8.684426
CONSISTENT
14
1065.094800
-6.606955
-8.684426
3-2⋅171
17/9
1101.045408
d817
14
1065.094800
-35.950607
-47.254808
CONSISTENT
14
1065.094800
-35.950607
-47.254808
31⋅71⋅11-1
21/11
1119.462965
P8711
15
1141.173001
21.710036
28.536474
INCONSISTENT
14
1065.094800
-54.368164
-71.463526
35⋅5-3
243/125
1150.833863
d85,5,5
15
1141.173001
-9.660862
-12.698595
INCONSISTENT
14
1065.094800
-85.739062
-112.698595
35⋅11-2
243/121
1207.139120
cA111,11
16
1217.251201
10.112081
13.291693
INCONSISTENT
15
1141.173001
-65.966119
-86.708307
3-3⋅51⋅111
55/27
1231.766654
P85,11
16
1217.251201
-14.515453
-19.079648
INCONSISTENT
17
1293.329401
61.562747
80.920352
33⋅13-1
27/13
1265.337341
cA113
17
1293.329401
27.992060
36.793799
CONSISTENT
17
1293.329401
27.992060
36.793799
3-4⋅132
169/81
1273.235320
cd213,13
17
1293.329401
20.094081
26.412403
INCONSISTENT
16
1217.251201
-55.984120
-73.587597
3-2⋅191
19/9
1293.603014
cm219
17
1293.329401
-0.273614
-0.359648
CONSISTENT
17
1293.329401
-0.273614
-0.359648
31⋅51⋅7-1
15/7
1319.442808
cA157
17
1293.329401
-26.113408
-34.324429
INCONSISTENT
18
1369.407601
49.964792
65.675571
3-4⋅52⋅71
175/81
1333.633331
cM25,5,7
18
1369.407601
35.774270
47.023024
CONSISTENT
18
1369.407601
35.774270
47.023024
5-1⋅111
11/5
1365.004228
cm2115
18
1369.407601
4.403372
5.787955
CONSISTENT
18
1369.407601
4.403372
5.787955
34⋅5-1⋅7-1
81/35
1452.680383
cM25,7
19
1445.485801
-7.194582
-9.456825
CONSISTENT
19
1445.485801
-7.194582
-9.456825
3-1⋅71
7/3
1466.870906
cm37
19
1445.485801
-21.385105
-28.109373
CONSISTENT
19
1445.485801
-21.385105
-28.109373
3-3⋅51⋅131
65/27
1520.976373
cm35,13
20
1521.564001
0.587628
0.772400
CONSISTENT
20
1521.564001
0.587628
0.772400
33⋅11-1
27/11
1554.547060
cM311
20
1521.564001
-32.983060
-43.354153
CONSISTENT
20
1521.564001
-32.983060
-43.354153
32⋅5-2⋅71
63/25
1600.108480
cd475,5
21
1597.642201
-2.466280
-3.241769
INCONSISTENT
20
1521.564001
-78.544480
-103.241769
31⋅111⋅13-1
33/13
1612.745281
cM31113
21
1597.642201
-15.103081
-19.852048
INCONSISTENT
22
1673.720401
60.975119
80.147952
3-2⋅231
23/9
1624.364346
cM323
21
1597.642201
-26.722145
-35.124576
CONSISTENT
21
1597.642201
-26.722145
-35.124576
5-1⋅131
13/5
1654.213948
cd4135
22
1673.720401
19.506453
25.640003
INCONSISTENT
21
1597.642201
-56.571747
-74.359997
34⋅31-1
81/31
1662.784431
cP431
22
1673.720401
10.935970
14.374643
CONSISTENT
22
1673.720401
10.935970
14.374643
35⋅7-1⋅13-1
243/91
1700.421436
cA37,13
22
1673.720401
-26.701035
-35.096828
INCONSISTENT
23
1749.798601
49.377165
64.903172
33⋅51⋅7-2
135/49
1754.526904
cA357,7
23
1749.798601
-4.728303
-6.215056
INCONSISTENT
24
1825.876801
71.349897
93.784944
3-2⋅52
25/9
1768.717426
cA45,5
23
1749.798601
-18.918825
-24.867604
INCONSISTENT
24
1825.876801
57.159375
75.132396
34⋅29-1
81/29
1778.242809
cA429
23
1749.798601
-28.444209
-37.388120
CONSISTENT
23
1749.798601
-28.444209
-37.388120
3-3⋅71⋅111
77/27
1814.278846
cd57,11
24
1825.876801
11.597955
15.244780
CONSISTENT
24
1825.876801
11.597955
15.244780
31
3/1
1901.955001
cP5
25
1901.955001
0
0
CONSISTENT
25
1901.955001
0
0


Main article: JI intervals approximated by various scales