Myna/11-limit chords: Difference between revisions

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Below are listed the [[dyadic chord]]s of [[11-limit]] [[Myna|myna temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[441/440]] are [[Werckismic chords|werckismic]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[243/242]] [[Rastmic chords|rastmic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], and by [[126/125]] [[Starling chords|starling]]. Those requiring tempering by any two of 441/440, 176/175 or 126/125 are labeled [[thrush]], and those requiring any two of 540/539, 441/440 or 243/242 [[jove]].
Below are listed the [[dyadic chord]]s of [[11-limit]] [[Myna|myna temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[Swetismic chords|swetismic]], by [[441/440]] [[Werckismic chords|werckismic]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[243/242]] [[Rastmic chords|rastmic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], and by [[126/125]] [[Starling chords|starling]]. Those requiring tempering by any two of 441/440, 176/175 or 126/125 are labeled [[thrush]], and those requiring any two of 540/539, 441/440 or 243/242 [[jove]].


== Triads ==
== Triads ==

Revision as of 01:49, 13 June 2021

Below are listed the dyadic chords of 11-limit myna temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 385/384 keenanismic, by 243/242 rastmic, by 176/175 valinorsmic, and by 126/125 starling. Those requiring tempering by any two of 441/440, 176/175 or 126/125 are labeled thrush, and those requiring any two of 540/539, 441/440 or 243/242 jove.

Triads

# Chord Transversal Type Hash
1 0-1-2 1-6/5-10/7 starling 2.807355
2 0-1-3 1-6/5-12/7 utonal 3.459432
3 0-2-3 1-10/7-12/7 otonal 3.700440
4 0-2-5 1-10/7-11/9 swetismic 5.209453
5 0-3-5 1-12/7-11/9 swetismic 5.357552
6 0-2-7 1-10/7-7/4 werckismic 7.055282
7 0-5-7 1-11/9-7/4 werckismic 7.330917
8 0-2-9 1-10/7-5/4 utonal 9.014020
9 0-7-9 1-7/4-5/4 otonal 9.324181
10 0-1-10 1-6/5-3/2 utonal 10.004220
11 0-3-10 1-12/7-3/2 utonal 10.012625
12 0-5-10 1-11/9-3/2 rastmic 10.045760
13 0-7-10 1-7/4-3/2 otonal 10.171177
14 0-9-10 1-5/4-3/2 otonal 10.585901
15 0-1-11 1-6/5-9/5 otonal 11.002112
16 0-2-11 1-10/7-9/5 starling 11.003518
17 0-9-11 1-5/4-9/5 starling 11.322492
18 0-10-11 1-3/2-9/5 utonal 11.585432
19 0-2-13 1-10/7-9/7 otonal 13.000880
20 0-3-13 1-12/7-9/7 otonal 13.001584
21 0-10-13 1-3/2-9/7 utonal 13.170082
22 0-11-13 1-9/5-9/7 utonal 13.322069
23 0-2-15 1-10/7-11/6 swetismic 15.000220
24 0-5-15 1-11/9-11/6 utonal 15.001452
25 0-10-15 1-3/2-11/6 otonal 15.044437
26 0-13-15 1-9/7-11/6 swetismic 15.321963
27 0-1-16 1-6/5-11/10 otonal 16.000066
28 0-3-16 1-12/7-11/10 swetismic 16.000190
29 0-5-16 1-11/9-11/10 utonal 16.000726
30 0-7-16 1-7/4-11/10 valinorsmic 16.002837
31 0-9-16 1-5/4-11/10 valinorsmic 16.011249
32 0-11-16 1-9/5-11/10 otonal 16.044415
33 0-13-16 1-9/7-11/10 swetismic 16.169946
34 0-15-16 1-11/6-11/10 utonal 16.584977
35 0-2-18 1-10/7-11/7 otonal 18.000028
36 0-3-18 1-12/7-11/7 otonal 18.000050
37 0-5-18 1-11/9-11/7 utonal 18.000182
38 0-7-18 1-7/4-11/7 werckismic 18.000710
39 0-9-18 1-5/4-11/7 valinorsmic 18.002821
40 0-11-18 1-9/5-11/7 werckismic 18.011233
41 0-13-18 1-9/7-11/7 otonal 18.044399
42 0-15-18 1-11/6-11/7 utonal 18.169930
43 0-16-18 1-11/10-11/7 utonal 18.321932
44 0-2-20 1-10/7-9/8 werckismic 20.000007
45 0-5-20 1-11/9-9/8 rastmic 20.000045
46 0-7-20 1-7/4-9/8 otonal 20.000177
47 0-9-20 1-5/4-9/8 otonal 20.000706
48 0-10-20 1-3/2-9/8 ambitonal 20.001410
49 0-11-20 1-9/5-9/8 utonal 20.002816
50 0-13-20 1-9/7-9/8 utonal 20.011229
51 0-15-20 1-11/6-9/8 rastmic 20.044395
52 0-18-20 1-11/7-9/8 werckismic 20.321929
53 0-5-25 1-11/9-11/8 utonal 25.000001
54 0-7-25 1-7/4-11/8 otonal 25.000006
55 0-9-25 1-5/4-11/8 otonal 25.000022
56 0-10-25 1-3/2-11/8 otonal 25.000044
57 0-15-25 1-11/6-11/8 utonal 25.001408
58 0-16-25 1-11/10-11/8 utonal 25.002815
59 0-18-25 1-11/7-11/8 utonal 25.011227
60 0-20-25 1-9/8-11/8 otonal 25.044394

Tetrads

# Chord Transversal Type Hash
1 0-1-2-3 1-6/5-10/7-12/7 starling 3.906891
2 0-2-3-5 1-10/7-12/7-11/9 swetismic 5.491853
3 0-2-5-7 1-10/7-11/9-7/4 jove 7.366322
4 0-2-7-9 1-10/7-7/4-5/4 werckismic 9.333155
5 0-1-3-10 1-6/5-12/7-3/2 utonal 10.015415
6 0-3-5-10 1-12/7-11/9-3/2 jove 10.056638
7 0-5-7-10 1-11/9-7/4-3/2 jove 10.210671
8 0-7-9-10 1-7/4-5/4-3/2 otonal 10.701306
9 0-1-2-11 1-6/5-10/7-9/5 starling 11.004923
10 0-2-9-11 1-10/7-5/4-9/5 starling 11.324743
11 0-1-10-11 1-6/5-3/2-9/5 ambitonal 11.586371
12 0-9-10-11 1-5/4-3/2-9/5 starling 11.807757
13 0-2-3-13 1-10/7-12/7-9/7 otonal 13.002288
14 0-3-10-13 1-12/7-3/2-9/7 ambitonal 13.171333
15 0-2-11-13 1-10/7-9/5-9/7 starling 13.322632
16 0-10-11-13 1-3/2-9/5-9/7 utonal 13.45956
17 0-2-5-15 1-10/7-11/9-11/6 swetismic 15.001628
18 0-5-10-15 1-11/9-3/2-11/6 rastmic 15.045802
19 0-2-13-15 1-10/7-9/7-11/6 swetismic 15.322104
20 0-10-13-15 1-3/2-9/7-11/6 swetismic 15.357586
21 0-1-3-16 1-6/5-12/7-11/10 swetismic 16.000242
22 0-3-5-16 1-12/7-11/9-11/10 swetismic 16.000902
23 0-5-7-16 1-11/9-7/4-11/10 thrush 16.003540
24 0-7-9-16 1-7/4-5/4-11/10 valinorsmic 16.014042
25 0-1-11-16 1-6/5-9/5-11/10 otonal 16.044458
26 0-9-11-16 1-5/4-9/5-11/10 thrush 16.055304
27 0-3-13-16 1-12/7-9/7-11/10 swetismic 16.170101
28 0-11-13-16 1-9/5-9/7-11/10 swetismic 16.209472
29 0-5-15-16 1-11/9-11/6-11/10 utonal 16.585447
30 0-13-15-16 1-9/7-11/6-11/10 swetismic 16.700453
31 0-2-3-18 1-10/7-12/7-11/7 otonal 18.000072
32 0-2-5-18 1-10/7-11/9-11/7 swetismic 18.000204
33 0-3-5-18 1-12/7-11/9-11/7 swetismic 18.000226
34 0-2-7-18 1-10/7-7/4-11/7 werckismic 18.000732
35 0-5-7-18 1-11/9-7/4-11/7 werckismic 18.000886
36 0-2-9-18 1-10/7-5/4-11/7 valinorsmic 18.002842
37 0-7-9-18 1-7/4-5/4-11/7 thrush 18.003523
38 0-2-11-18 1-10/7-9/5-11/7 thrush 18.011255
39 0-9-11-18 1-5/4-9/5-11/7 thrush 18.014026
40 0-2-13-18 1-10/7-9/7-11/7 otonal 18.044421
41 0-3-13-18 1-12/7-9/7-11/7 otonal 18.044442
42 0-11-13-18 1-9/5-9/7-11/7 werckismic 18.055288
43 0-2-15-18 1-10/7-11/6-11/7 swetismic 18.169949
44 0-5-15-18 1-11/9-11/6-11/7 utonal 18.170086
45 0-13-15-18 1-9/7-11/6-11/7 swetismic 18.209458
46 0-3-16-18 1-12/7-11/10-11/7 swetismic 18.321968
47 0-5-16-18 1-11/9-11/10-11/7 utonal 18.322073
48 0-7-16-18 1-7/4-11/10-11/7 thrush 18.322496
49 0-9-16-18 1-5/4-11/10-11/7 valinorsmic 18.324185
50 0-11-16-18 1-9/5-11/10-11/7 werckismic 18.330921
51 0-13-16-18 1-9/7-11/10-11/7 swetismic 18.357556
52 0-15-16-18 1-11/6-11/10-11/7 utonal 18.459436
53 0-2-5-20 1-10/7-11/9-9/8 jove 20.000051
54 0-2-7-20 1-10/7-7/4-9/8 werckismic 20.000183
55 0-5-7-20 1-11/9-7/4-9/8 jove 20.000221
56 0-2-9-20 1-10/7-5/4-9/8 werckismic 20.000711
57 0-7-9-20 1-7/4-5/4-9/8 otonal 20.000882
58 0-5-10-20 1-11/9-3/2-9/8 rastmic 20.001454
59 0-7-10-20 1-7/4-3/2-9/8 otonal 20.001585
60 0-9-10-20 1-5/4-3/2-9/8 otonal 20.002113
61 0-2-11-20 1-10/7-9/5-9/8 thrush 20.002822
62 0-9-11-20 1-5/4-9/5-9/8 starling 20.003519
63 0-10-11-20 1-3/2-9/5-9/8 utonal 20.004222
64 0-2-13-20 1-10/7-9/7-9/8 werckismic 20.011234
65 0-10-13-20 1-3/2-9/7-9/8 utonal 20.012626
66 0-11-13-20 1-9/5-9/7-9/8 utonal 20.014022
67 0-2-15-20 1-10/7-11/6-9/8 jove 20.044401
68 0-5-15-20 1-11/9-11/6-9/8 rastmic 20.044438
69 0-10-15-20 1-3/2-11/6-9/8 rastmic 20.045761
70 0-13-15-20 1-9/7-11/6-9/8 jove 20.055284
71 0-2-18-20 1-10/7-11/7-9/8 werckismic 20.321934
72 0-5-18-20 1-11/9-11/7-9/8 jove 20.321964
73 0-7-18-20 1-7/4-11/7-9/8 werckismic 20.32207
74 0-9-18-20 1-5/4-11/7-9/8 thrush 20.322493
75 0-11-18-20 1-9/5-11/7-9/8 werckismic 20.324182
76 0-13-18-20 1-9/7-11/7-9/8 werckismic 20.330918
77 0-15-18-20 1-11/6-11/7-9/8 jove 20.357553
78 0-5-7-25 1-11/9-7/4-11/8 werckismic 25.000007
79 0-7-9-25 1-7/4-5/4-11/8 otonal 25.000028
80 0-5-10-25 1-11/9-3/2-11/8 rastmic 25.000045
81 0-7-10-25 1-7/4-3/2-11/8 otonal 25.00005
82 0-9-10-25 1-5/4-3/2-11/8 otonal 25.000066
83 0-5-15-25 1-11/9-11/6-11/8 utonal 25.001410
84 0-10-15-25 1-3/2-11/6-11/8 ambitonal 25.001452
85 0-5-16-25 1-11/9-11/10-11/8 utonal 25.002816
86 0-7-16-25 1-7/4-11/10-11/8 valinorsmic 25.002821
87 0-9-16-25 1-5/4-11/10-11/8 valinorsmic 25.002837
88 0-15-16-25 1-11/6-11/10-11/8 utonal 25.004221
89 0-5-18-25 1-11/9-11/7-11/8 utonal 25.011229
90 0-7-18-25 1-7/4-11/7-11/8 werckismic 25.011233
91 0-9-18-25 1-5/4-11/7-11/8 valinorsmic 25.011249
92 0-15-18-25 1-11/6-11/7-11/8 utonal 25.012625
93 0-16-18-25 1-11/10-11/7-11/8 utonal 25.014021
94 0-5-20-25 1-11/9-9/8-11/8 rastmic 25.044395
95 0-7-20-25 1-7/4-9/8-11/8 otonal 25.044399
96 0-9-20-25 1-5/4-9/8-11/8 otonal 25.044416
97 0-10-20-25 1-3/2-9/8-11/8 otonal 25.044437
98 0-15-20-25 1-11/6-9/8-11/8 rastmic 25.045760
99 0-18-20-25 1-11/7-9/8-11/8 werckismic 25.055282

Pentads

# Chord Transversal Type Hash
1 0-2-3-5-18 1-10/7-12/7-11/9-11/7 swetismic 18.000248
2 0-2-5-7-18 1-10/7-11/9-7/4-11/7 jove 18.000908
3 0-2-7-9-18 1-10/7-7/4-5/4-11/7 thrush 18.003545
4 0-2-9-11-18 1-10/7-5/4-9/5-11/7 thrush 18.014048
5 0-2-3-13-18 1-10/7-12/7-9/7-11/7 otonal 18.044463
6 0-2-11-13-18 1-10/7-9/5-9/7-11/7 thrush 18.055309
7 0-2-5-15-18 1-10/7-11/9-11/6-11/7 swetismic 18.170106
8 0-2-13-15-18 1-10/7-9/7-11/6-11/7 swetismic 18.209477
9 0-3-5-16-18 1-12/7-11/9-11/10-11/7 swetismic 18.322109
10 0-5-7-16-18 1-11/9-7/4-11/10-11/7 thrush 18.322637
11 0-7-9-16-18 1-7/4-5/4-11/10-11/7 thrush 18.324748
12 0-9-11-16-18 1-5/4-9/5-11/10-11/7 thrush 18.333160
13 0-3-13-16-18 1-12/7-9/7-11/10-11/7 swetismic 18.357591
14 0-11-13-16-18 1-9/5-9/7-11/10-11/7 jove 18.366326
15 0-5-15-16-18 1-11/9-11/6-11/10-11/7 utonal 18.459564
16 0-13-15-16-18 1-9/7-11/6-11/10-11/7 swetismic 18.491857
17 0-2-5-7-20 1-10/7-11/9-7/4-9/8 jove 20.000227
18 0-2-7-9-20 1-10/7-7/4-5/4-9/8 werckismic 20.000887
19 0-5-7-10-20 1-11/9-7/4-3/2-9/8 jove 20.001629
20 0-7-9-10-20 1-7/4-5/4-3/2-9/8 otonal 20.002289
21 0-2-9-11-20 1-10/7-5/4-9/5-9/8 thrush 20.003525
22 0-9-10-11-20 1-5/4-3/2-9/5-9/8 starling 20.004924
23 0-2-11-13-20 1-10/7-9/5-9/7-9/8 thrush 20.014027
24 0-10-11-13-20 1-3/2-9/5-9/7-9/8 utonal 20.015416
25 0-2-5-15-20 1-10/7-11/9-11/6-9/8 jove 20.044443
26 0-5-10-15-20 1-11/9-3/2-11/6-9/8 rastmic 20.045804
27 0-2-13-15-20 1-10/7-9/7-11/6-9/8 jove 20.055289
28 0-10-13-15-20 1-3/2-9/7-11/6-9/8 jove 20.056639
29 0-2-5-18-20 1-10/7-11/9-11/7-9/8 jove 20.321969
30 0-2-7-18-20 1-10/7-7/4-11/7-9/8 werckismic 20.322074
31 0-5-7-18-20 1-11/9-7/4-11/7-9/8 jove 20.322105
32 0-2-9-18-20 1-10/7-5/4-11/7-9/8 thrush 20.322497
33 0-7-9-18-20 1-7/4-5/4-11/7-9/8 thrush 20.322633
34 0-2-11-18-20 1-10/7-9/5-11/7-9/8 thrush 20.324186
35 0-9-11-18-20 1-5/4-9/5-11/7-9/8 thrush 20.324744
36 0-2-13-18-20 1-10/7-9/7-11/7-9/8 werckismic 20.330922
37 0-11-13-18-20 1-9/5-9/7-11/7-9/8 werckismic 20.333156
38 0-2-15-18-20 1-10/7-11/6-11/7-9/8 jove 20.357557
39 0-5-15-18-20 1-11/9-11/6-11/7-9/8 jove 20.357587
40 0-13-15-18-20 1-9/7-11/6-11/7-9/8 jove 20.366323
41 0-5-7-10-25 1-11/9-7/4-3/2-11/8 jove 25.000051
42 0-7-9-10-25 1-7/4-5/4-3/2-11/8 otonal 25.000072
43 0-5-10-15-25 1-11/9-3/2-11/6-11/8 rastmic 25.001454
44 0-5-7-16-25 1-11/9-7/4-11/10-11/8 thrush 25.002822
45 0-7-9-16-25 1-7/4-5/4-11/10-11/8 valinorsmic 25.002843
46 0-5-15-16-25 1-11/9-11/6-11/10-11/8 utonal 25.004222
47 0-5-7-18-25 1-11/9-7/4-11/7-11/8 werckismic 25.011234
48 0-7-9-18-25 1-7/4-5/4-11/7-11/8 thrush 25.011255
49 0-5-15-18-25 1-11/9-11/6-11/7-11/8 utonal 25.012626
50 0-5-16-18-25 1-11/9-11/10-11/7-11/8 utonal 25.014022
51 0-7-16-18-25 1-7/4-11/10-11/7-11/8 thrush 25.014026
52 0-9-16-18-25 1-5/4-11/10-11/7-11/8 valinorsmic 25.014042
53 0-15-16-18-25 1-11/6-11/10-11/7-11/8 utonal 25.015415
54 0-5-7-20-25 1-11/9-7/4-9/8-11/8 jove 25.044401
55 0-7-9-20-25 1-7/4-5/4-9/8-11/8 otonal 25.044421
56 0-5-10-20-25 1-11/9-3/2-9/8-11/8 rastmic 25.044438
57 0-7-10-20-25 1-7/4-3/2-9/8-11/8 otonal 25.044442
58 0-9-10-20-25 1-5/4-3/2-9/8-11/8 otonal 25.044458
59 0-5-15-20-25 1-11/9-11/6-9/8-11/8 rastmic 25.045761
60 0-10-15-20-25 1-3/2-11/6-9/8-11/8 rastmic 25.045802
61 0-5-18-20-25 1-11/9-11/7-9/8-11/8 jove 25.055284
62 0-7-18-20-25 1-7/4-11/7-9/8-11/8 werckismic 25.055288
63 0-9-18-20-25 1-5/4-11/7-9/8-11/8 thrush 25.055304
64 0-15-18-20-25 1-11/6-11/7-9/8-11/8 jove 25.056638

Hexads

# Chord Transversal Type Hash
1 0-2-5-7-18-20 1-10/7-11/9-7/4-11/7-9/8 jove 20.322110
2 0-2-7-9-18-20 1-10/7-7/4-5/4-11/7-9/8 thrush 20.322638
3 0-2-9-11-18-20 1-10/7-5/4-9/5-11/7-9/8 thrush 20.324749
4 0-2-11-13-18-20 1-10/7-9/5-9/7-11/7-9/8 thrush 20.333161
5 0-2-5-15-18-20 1-10/7-11/9-11/6-11/7-9/8 jove 20.357592
6 0-2-13-15-18-20 1-10/7-9/7-11/6-11/7-9/8 jove 20.366328
7 0-5-7-16-18-25 1-11/9-7/4-11/10-11/7-11/8 thrush 25.014027
8 0-7-9-16-18-25 1-7/4-5/4-11/10-11/7-11/8 thrush 25.014048
9 0-5-15-16-18-25 1-11/9-11/6-11/10-11/7-11/8 utonal 25.015416
10 0-5-7-10-20-25 1-11/9-7/4-3/2-9/8-11/8 jove 25.044444
11 0-7-9-10-20-25 1-7/4-5/4-3/2-9/8-11/8 otonal 25.044464
12 0-5-10-15-20-25 1-11/9-3/2-11/6-9/8-11/8 rastmic 25.045804
13 0-5-7-18-20-25 1-11/9-7/4-11/7-9/8-11/8 jove 25.055289
14 0-7-9-18-20-25 1-7/4-5/4-11/7-9/8-11/8 thrush 25.055309
15 0-5-15-18-20-25 1-11/9-11/6-11/7-9/8-11/8 jove 25.056639
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