User:Contribution/JI intervals approximated by 43edt

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43edt divides the tritave in 43 equal steps and the octave in 27.129979 equal steps of 44.231512 cents each. Its 31-limit patent val is <27 43 63 76 94 100 111 115 123 132 134|.

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
-32.082382
CONSISTENT
0
0
-14.190522
-32.082382
34⋅7-1⋅11-1
81/77
87.676155
A17,11
2
88.463023
0.786869
1.778978
CONSISTENT
2
88.463023
0.786869
1.778978
3-3⋅291
29/27
123.712192
m229
3
132.694535
8.982343
20.307566
CONSISTENT
3
132.694535
8.982343
20.307566
33⋅5-2
27/25
133.237575
m25,5
3
132.694535
-0.543040
-1.227722
CONSISTENT
3
132.694535
-0.543040
-1.227722
3-2⋅5-1⋅72
49/45
147.428097
d37,75
3
132.694535
-14.733562
-33.310104
CONSISTENT
3
132.694535
-14.733562
-33.310104
3-4⋅71⋅131
91/81
201.533565
d37,13
5
221.157558
19.623993
44.366545
INCONSISTENT
4
176.926047
-24.607518
-55.633455
3-3⋅311
31/27
239.170570
M231
5
221.157558
-18.013012
-40.724386
CONSISTENT
5
221.157558
-18.013012
-40.724386
31⋅51⋅13-1
15/13
247.741053
A2513
6
265.389070
17.648017
39.899195
CONSISTENT
6
265.389070
17.648017
39.899195
33⋅23-1
27/23
277.590655
m323
6
265.389070
-12.201585
-27.585730
CONSISTENT
6
265.389070
-12.201585
-27.585730
11-1⋅131
13/11
289.209719
m31311
7
309.620582
20.410862
46.145522
INCONSISTENT
6
265.389070
-23.820650
-53.854478
3-1⋅52⋅7-1
25/21
301.846520
A25,57
7
309.620582
7.774061
17.575843
CONSISTENT
7
309.620582
7.774061
17.575843
3-2⋅111
11/9
347.407941
m311
8
353.852093
6.444153
14.569144
CONSISTENT
8
353.852093
6.444153
14.569144
34⋅5-1⋅13-1
81/65
380.978628
M35,13
9
398.083605
17.104977
38.671473
CONSISTENT
9
398.083605
17.104977
38.671473
32⋅7-1
9/7
435.084095
M37
10
442.315116
7.231021
16.348121
CONSISTENT
10
442.315116
7.231021
16.348121
3-3⋅51⋅71
35/27
449.274618
P45,7
10
442.315116
-6.959501
-15.734260
CONSISTENT
10
442.315116
-6.959501
-15.734260
31⋅51⋅11-1
15/11
536.950772
A4511
12
530.778140
-6.172633
-13.955283
CONSISTENT
12
530.778140
-6.172633
-13.955283
35⋅5-2⋅7-1
243/175
568.321670
P45,5,7
13
575.009651
6.687981
15.120400
CONSISTENT
13
575.009651
6.687981
15.120400
5-1⋅71
7/5
582.512193
d575
13
575.009651
-7.502541
-16.961982
CONSISTENT
13
575.009651
-7.502541
-16.961982
3-5⋅73
343/243
596.702715
d67,7,7
13
575.009651
-21.693064
-49.044364
CONSISTENT
13
575.009651
-21.693064
-49.044364
33⋅19-1
27/19
608.351986
A419
14
619.241163
10.889177
24.618595
CONSISTENT
14
619.241163
10.889177
24.618595
35⋅13-2
243/169
628.719681
AA413,13
14
619.241163
-9.478518
-21.429333
INCONSISTENT
15
663.472675
34.752994
78.570667
3-2⋅131
13/9
636.617660
d513
14
619.241163
-17.376497
-39.285334
CONSISTENT
14
619.241163
-17.376497
-39.285334
34⋅5-1⋅11-1
81/55
670.188347
P55,11
15
663.472675
-6.715673
-15.183005
CONSISTENT
15
663.472675
-6.715673
-15.183005
3-4⋅112
121/81
694.815881
d511,11
16
707.704186
12.888305
29.138288
CONSISTENT
16
707.704186
12.888305
29.138288
3-4⋅53
125/81
751.121138
A55,5,5
17
751.935698
0.814560
1.841583
CONSISTENT
17
751.935698
0.814560
1.841583
7-1⋅111
11/7
782.492036
P5117
18
796.167210
13.675174
30.917265
CONSISTENT
18
796.167210
13.675174
30.917265
33⋅17-1
27/17
800.909593
A517
18
796.167210
-4.742383
-10.721730
CONSISTENT
18
796.167210
-4.742383
-10.721730
31⋅71⋅13-1
21/13
830.253246
M6713
19
840.398721
10.145476
22.937212
CONSISTENT
19
840.398721
10.145476
22.937212
34⋅7-2
81/49
870.168191
A57,7
20
884.630233
14.462042
32.696243
CONSISTENT
20
884.630233
14.462042
32.696243
3-1⋅51
5/3
884.358713
M65
20
884.630233
0.271520
0.613861
CONSISTENT
20
884.630233
0.271520
0.613861
35⋅11-1⋅13-1
243/143
917.929400
A611,13
21
928.861745
10.932344
24.716190
CONSISTENT
21
928.861745
10.932344
24.716190
3-4⋅111⋅131
143/81
984.025601
d711,13
22
973.093256
-10.932344
-24.716190
CONSISTENT
22
973.093256
-10.932344
-24.716190
32⋅5-1
9/5
1017.596288
m75
23
1017.324768
-0.271520
-0.613861
CONSISTENT
23
1017.324768
-0.271520
-0.613861
3-3⋅72
49/27
1031.786810
d87,7
23
1017.324768
-14.462042
-32.696243
CONSISTENT
23
1017.324768
-14.462042
-32.696243
7-1⋅131
13/7
1071.701755
m7137
24
1061.556280
-10.145476
-22.937212
CONSISTENT
24
1061.556280
-10.145476
-22.937212
3-2⋅171
17/9
1101.045408
d817
25
1105.787791
4.742383
10.721730
CONSISTENT
25
1105.787791
4.742383
10.721730
31⋅71⋅11-1
21/11
1119.462965
P8711
25
1105.787791
-13.675174
-30.917265
CONSISTENT
25
1105.787791
-13.675174
-30.917265
35⋅5-3
243/125
1150.833863
d85,5,5
26
1150.019303
-0.814560
-1.841583
CONSISTENT
26
1150.019303
-0.814560
-1.841583
35⋅11-2
243/121
1207.139120
cA111,11
27
1194.250814
-12.888305
-29.138288
CONSISTENT
27
1194.250814
-12.888305
-29.138288
3-3⋅51⋅111
55/27
1231.766654
P85,11
28
1238.482326
6.715673
15.183005
CONSISTENT
28
1238.482326
6.715673
15.183005
33⋅13-1
27/13
1265.337341
cA113
29
1282.713838
17.376497
39.285334
CONSISTENT
29
1282.713838
17.376497
39.285334
3-4⋅132
169/81
1273.235320
cd213,13
29
1282.713838
9.478518
21.429333
INCONSISTENT
28
1238.482326
-34.752994
-78.570667
3-2⋅191
19/9
1293.603014
cm219
29
1282.713838
-10.889177
-24.618595
CONSISTENT
29
1282.713838
-10.889177
-24.618595
31⋅51⋅7-1
15/7
1319.442808
cA157
30
1326.945349
7.502541
16.961982
CONSISTENT
30
1326.945349
7.502541
16.961982
3-4⋅52⋅71
175/81
1333.633331
cM25,5,7
30
1326.945349
-6.687981
-15.120400
CONSISTENT
30
1326.945349
-6.687981
-15.120400
5-1⋅111
11/5
1365.004228
cm2115
31
1371.176861
6.172633
13.955283
CONSISTENT
31
1371.176861
6.172633
13.955283
34⋅5-1⋅7-1
81/35
1452.680383
cM25,7
33
1459.639884
6.959501
15.734260
CONSISTENT
33
1459.639884
6.959501
15.734260
3-1⋅71
7/3
1466.870906
cm37
33
1459.639884
-7.231021
-16.348121
CONSISTENT
33
1459.639884
-7.231021
-16.348121
3-3⋅51⋅131
65/27
1520.976373
cm35,13
34
1503.871396
-17.104977
-38.671473
CONSISTENT
34
1503.871396
-17.104977
-38.671473
33⋅11-1
27/11
1554.547060
cM311
35
1548.102908
-6.444153
-14.569144
CONSISTENT
35
1548.102908
-6.444153
-14.569144
32⋅5-2⋅71
63/25
1600.108480
cd475,5
36
1592.334419
-7.774061
-17.575843
CONSISTENT
36
1592.334419
-7.774061
-17.575843
31⋅111⋅13-1
33/13
1612.745281
cM31113
36
1592.334419
-20.410862
-46.145522
INCONSISTENT
37
1636.565931
23.820650
53.854478
3-2⋅231
23/9
1624.364346
cM323
37
1636.565931
12.201585
27.585730
CONSISTENT
37
1636.565931
12.201585
27.585730
5-1⋅131
13/5
1654.213948
cd4135
37
1636.565931
-17.648017
-39.899195
CONSISTENT
37
1636.565931
-17.648017
-39.899195
34⋅31-1
81/31
1662.784431
cP431
38
1680.797443
18.013012
40.724386
CONSISTENT
38
1680.797443
18.013012
40.724386
35⋅7-1⋅13-1
243/91
1700.421436
cA37,13
38
1680.797443
-19.623993
-44.366545
INCONSISTENT
39
1725.028954
24.607518
55.633455
33⋅51⋅7-2
135/49
1754.526904
cA357,7
40
1769.260466
14.733562
33.310104
CONSISTENT
40
1769.260466
14.733562
33.310104
3-2⋅52
25/9
1768.717426
cA45,5
40
1769.260466
0.543040
1.227722
CONSISTENT
40
1769.260466
0.543040
1.227722
34⋅29-1
81/29
1778.242809
cA429
40
1769.260466
-8.982343
-20.307566
CONSISTENT
40
1769.260466
-8.982343
-20.307566
3-3⋅71⋅111
77/27
1814.278846
cd57,11
41
1813.491978
-0.786869
-1.778978
CONSISTENT
41
1813.491978
-0.786869
-1.778978
31
3/1
1901.955001
cP5
43
1901.955001
0
0
CONSISTENT
43
1901.955001
0
0


Main article: JI intervals approximated by various scales