Mohajira/Chords: Difference between revisions

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Every MOS with 55 or 86 notes generated by a neutral third has a generator greater than that which is in 31, meaning that it's not in the diamond monotone range of migration (9/7 vs 14/11). Although the 7th harmonic gets significantly better by such a generator, this reason is not enough to claim that these are the MOS sizes, because 7/6 gets almost equally worse. Also, the POTE temperament (which tunes small intervals better than CTE) has a generator which is less than 31's.
m Lériendil moved page Chords of mohajira to Mohajira/Chords
 
(3 intermediate revisions by one other user not shown)
Line 1: Line 1:
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Migration|migration temperament]]. Typing the chords requires consideration of the fact that migration conflates 9/8 and 10/9 and also 11/10 and 12/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Mohajira|mohajira temperament]]. Typing the chords requires consideration of the fact that mohajira conflates 9/8 and 10/9 and also 11/10 and 12/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. The chord is analyzed in terms of the transversal which employs 9/8 and 20/11, if this can be done without tempering out additional commas.


Chords requiring tempering only by 81/80 are labeled didymic, by 121/120 biyatismic, by 176/175 valinorsmic, by 243/242 rastmic, and by 385/384 keenanismic. Chords which require any two of 81/80, 121/120 or 243/242 are labeled urania, and any two of 121/120, 176/175 or 385/384 zeus.
Chords requiring tempering only by 81/80 are labeled didymic, by 121/120 biyatismic, by 176/175 valinorsmic, by 243/242 rastmic, and by 385/384 keenanismic. Chords which require any two of 81/80, 121/120 or 243/242 are labeled urania, and any two of 121/120, 176/175 or 385/384 zeus.


Migration has MOS of size 7, 10, 17, 24, 31, 38, 69 and 100. Even the seven-note MOS, which is itself an essentially tempered chord, has for that reason quite a few chords, they become much more abundant with ten notes.
mohajira has MOS of size 7, 10, 17, 24, 31, 55 and 86. Even the seven-note MOS, which is itself an essentially tempered chord, has for that reason quite a few chords, they become much more abundant with ten notes.


=Triads=
=Triads=
Line 21: Line 21:
| | 2
| | 2
| | 0-1-3
| | 0-1-3
| | 1-11/9-20/11
| | 1-11/9-11/6
| | biyatismic
| | utonal
|-
|-
| | 3
| | 3
| | 0-2-3
| | 0-2-3
| | 1-3/2-20/11
| | 1-3/2-11/6
| | biyatismic
| | otonal
|-
|-
| | 4
| | 4
Line 56: Line 56:
| | 9
| | 9
| | 0-3-5
| | 0-3-5
| | 1-20/11-11/8
| | 1-11/6-11/8
| | biyatismic
| | utonal
|-
|-
| | 10
| | 10
Line 181: Line 181:
| | 34
| | 34
| | 0-3-16
| | 0-3-16
| | 1-20/11-11/7
| | 1-11/6-11/7
| | biyatismic
| | utonal
|-
|-
| | 35
| | 35
Line 261: Line 261:
| | 1
| | 1
| | 0-1-2-3
| | 0-1-2-3
| | 1-11/9-3/2-20/11
| | 1-11/9-3/2-11/6
| | urania
| | rastmic
|-
|-
| | 2
| | 2
| | 0-1-2-4
| | 0-1-2-4
| | 1-11/9-3/2-9/8
| | 1-11/9-3/2-9/8
| | urania
| | rastmic
|-
|-
| | 3
| | 3
| | 0-1-3-4
| | 0-1-3-4
| | 1-11/9-20/11-9/8
| | 1-11/9-11/6-9/8
| | urania
| | rastmic
|-
|-
| | 4
| | 4
| | 0-2-3-4
| | 0-2-3-4
| | 1-3/2-20/11-9/8
| | 1-3/2-11/6-9/8
| | urania
| | rastmic
|-
|-
| | 5
| | 5
| | 0-1-2-5
| | 0-1-2-5
| | 1-11/9-3/2-11/8
| | 1-11/9-3/2-11/8
| | urania
| | rastmic
|-
|-
| | 6
| | 6
| | 0-1-3-5
| | 0-1-3-5
| | 1-11/9-20/11-11/8
| | 1-11/9-11/6-11/8
| | biyatismic
| | utonal
|-
|-
| | 7
| | 7
| | 0-2-3-5
| | 0-2-3-5
| | 1-3/2-20/11-11/8
| | 1-3/2-11/6-11/8
| | biyatismic
| | ambitonal
|-
|-
| | 8
| | 8
Line 306: Line 306:
| | 10
| | 10
| | 0-3-4-5
| | 0-3-4-5
| | 1-20/11-9/8-11/8
| | 1-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 11
| | 11
Line 321: Line 321:
| | 13
| | 13
| | 0-2-3-6
| | 0-2-3-6
| | 1-3/2-20/11-5/3
| | 1-3/2-11/6-5/3
| | urania
| | otonal
|-
|-
| | 14
| | 14
| | 0-1-4-6
| | 0-1-4-6
| | 1-11/9-9/8-5/3
| | 1-11/9-10/9-5/3
| | urania
| | biyatismic
|-
|-
| | 15
| | 15
Line 347: Line 347:
| | 0-2-5-6
| | 0-2-5-6
| | 1-3/2-11/8-5/3
| | 1-3/2-11/8-5/3
| | urania
| | biyatismic
|-
|-
| | 19
| | 19
Line 411: Line 411:
| | 31
| | 31
| | 0-3-5-11
| | 0-3-5-11
| | 1-20/11-11/8-8/7
| | 1-11/6-11/8-8/7
| | zeus
| | keenanismic
|-
|-
| | 32
| | 32
| | 0-3-6-11
| | 0-3-6-11
| | 1-20/11-5/3-8/7
| | 1-11/6-5/3-8/7
| | zeus
| | keenanismic
|-
|-
| | 33
| | 33
Line 432: Line 432:
| | 0-5-8-11
| | 0-5-8-11
| | 1-11/8-5/4-8/7
| | 1-11/8-5/4-8/7
| | zeus
| | keenanismic
|-
|-
| | 36
| | 36
| | 0-6-8-11
| | 0-6-8-11
| | 1-5/3-5/4-8/7
| | 1-5/3-5/4-8/7
| | zeus
| | keenanismic
|-
|-
| | 37
| | 37
| | 0-2-5-13
| | 0-2-5-13
| | 1-3/2-11/8-12/7
| | 1-3/2-11/8-12/7
| | zeus
| | keenanismic
|-
|-
| | 38
| | 38
Line 462: Line 462:
| | 0-8-11-13
| | 0-8-11-13
| | 1-5/4-8/7-12/7
| | 1-5/4-8/7-12/7
| | zeus
| | keenanismic
|-
|-
| | 42
| | 42
Line 481: Line 481:
| | 45
| | 45
| | 0-1-3-16
| | 0-1-3-16
| | 1-11/9-20/11-11/7
| | 1-11/9-11/6-11/7
| | biyatismic
| | utonal
|-
|-
| | 46
| | 46
Line 491: Line 491:
| | 47
| | 47
| | 0-3-5-16
| | 0-3-5-16
| | 1-20/11-11/8-11/7
| | 1-11/6-11/8-11/7
| | biyatismic
| | utonal
|-
|-
| | 48
| | 48
Line 506: Line 506:
| | 50
| | 50
| | 0-3-11-16
| | 0-3-11-16
| | 1-20/11-8/7-11/7
| | 1-11/6-8/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 51
| | 51
Line 522: Line 522:
| | 0-5-13-16
| | 0-5-13-16
| | 1-11/8-12/7-11/7
| | 1-11/8-12/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 54
| | 54
Line 651: Line 651:
| | 1
| | 1
| | 0-1-2-3-4
| | 0-1-2-3-4
| | 1-11/9-3/2-20/11-9/8
| | 1-11/9-3/2-11/6-9/8
| | urania
| | rastmic
|-
|-
| | 2
| | 2
| | 0-1-2-3-5
| | 0-1-2-3-5
| | 1-11/9-3/2-20/11-11/8
| | 1-11/9-3/2-11/6-11/8
| | urania
| | rastmic
|-
|-
| | 3
| | 3
| | 0-1-2-4-5
| | 0-1-2-4-5
| | 1-11/9-3/2-9/8-11/8
| | 1-11/9-3/2-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 4
| | 4
| | 0-1-3-4-5
| | 0-1-3-4-5
| | 1-11/9-20/11-9/8-11/8
| | 1-11/9-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 5
| | 5
| | 0-2-3-4-5
| | 0-2-3-4-5
| | 1-3/2-20/11-9/8-11/8
| | 1-3/2-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 6
| | 6
Line 686: Line 686:
| | 8
| | 8
| | 0-1-3-4-6
| | 0-1-3-4-6
| | 1-11/9-20/11-9/8-5/3
| | 1-11/9-20/11-10/9-5/3
| | urania
| | biyatismic
|-
|-
| | 9
| | 9
Line 707: Line 707:
| | 0-2-3-5-6
| | 0-2-3-5-6
| | 1-3/2-20/11-11/8-5/3
| | 1-3/2-20/11-11/8-5/3
| | urania
| | biyatismic
|-
|-
| | 13
| | 13
Line 747: Line 747:
| | 0-2-3-6-8
| | 0-2-3-6-8
| | 1-3/2-20/11-5/3-5/4
| | 1-3/2-20/11-5/3-5/4
| | urania
| | biyatismic
|-
|-
| | 21
| | 21
Line 762: Line 762:
| | 0-2-5-6-8
| | 0-2-5-6-8
| | 1-3/2-11/8-5/3-5/4
| | 1-3/2-11/8-5/3-5/4
| | urania
| | biyatismic
|-
|-
| | 24
| | 24
Line 772: Line 772:
| | 0-4-5-6-8
| | 0-4-5-6-8
| | 1-9/8-11/8-5/3-5/4
| | 1-9/8-11/8-5/3-5/4
| | urania-
| | urania
|-
|-
| | 26
| | 26
Line 797: Line 797:
| | 0-2-5-8-13
| | 0-2-5-8-13
| | 1-3/2-11/8-5/4-12/7
| | 1-3/2-11/8-5/4-12/7
| | zeus
| | keenanismic
|-
|-
| | 31
| | 31
| | 0-5-8-11-13
| | 0-5-8-11-13
| | 1-11/8-5/4-8/7-12/7
| | 1-11/8-5/4-8/7-12/7
| | zeus
| | keenanismic
|-
|-
| | 32
| | 32
| | 0-1-3-5-16
| | 0-1-3-5-16
| | 1-11/9-20/11-11/8-11/7
| | 1-11/9-11/6-11/8-11/7
| | biyatismic
| | utonal
|-
|-
| | 33
| | 33
Line 816: Line 816:
| | 34
| | 34
| | 0-3-5-11-16
| | 0-3-5-11-16
| | 1-20/11-11/8-8/7-11/7
| | 1-11/6-11/8-8/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 35
| | 35
Line 837: Line 837:
| | 0-5-11-13-16
| | 0-5-11-13-16
| | 1-11/8-8/7-12/7-11/7
| | 1-11/8-8/7-12/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 39
| | 39
Line 882: Line 882:
| | 0-6-8-11-19
| | 0-6-8-11-19
| | 1-5/3-5/4-8/7-10/7
| | 1-5/3-5/4-8/7-10/7
| | zeus
| | keenanismic
|-
|-
| | 48
| | 48
| | 0-8-11-13-19
| | 0-8-11-13-19
| | 1-5/4-8/7-12/7-10/7
| | 1-5/4-8/7-12/7-10/7
| | zeus
| | keenanismic
|-
|-
| | 49
| | 49
Line 941: Line 941:
| | 1
| | 1
| | 0-1-2-3-4-5
| | 0-1-2-3-4-5
| | 1-11/9-3/2-20/11-9/8-11/8
| | 1-11/9-3/2-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 2
| | 2
Line 982: Line 982:
| | 0-2-3-5-6-8
| | 0-2-3-5-6-8
| | 1-3/2-20/11-11/8-5/3-5/4
| | 1-3/2-20/11-11/8-5/3-5/4
| | urania
| | biyatismic
|-
|-
| | 10
| | 10
Line 1,057: Line 1,057:
[[Category:Dyadic chords]]
[[Category:Dyadic chords]]
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Migration]]
[[Category:Mohajira]]

Latest revision as of 21:50, 22 June 2025

Below are listed the dyadic chords of 11-limit mohajira temperament. Typing the chords requires consideration of the fact that mohajira conflates 9/8 and 10/9 and also 11/10 and 12/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. The chord is analyzed in terms of the transversal which employs 9/8 and 20/11, if this can be done without tempering out additional commas.

Chords requiring tempering only by 81/80 are labeled didymic, by 121/120 biyatismic, by 176/175 valinorsmic, by 243/242 rastmic, and by 385/384 keenanismic. Chords which require any two of 81/80, 121/120 or 243/242 are labeled urania, and any two of 121/120, 176/175 or 385/384 zeus.

mohajira has MOS of size 7, 10, 17, 24, 31, 55 and 86. Even the seven-note MOS, which is itself an essentially tempered chord, has for that reason quite a few chords, they become much more abundant with ten notes.

Triads

Number Chord Transversal Type
1 0-1-2 1-11/9-3/2 rastmic
2 0-1-3 1-11/9-11/6 utonal
3 0-2-3 1-3/2-11/6 otonal
4 0-1-4 1-11/9-10/9 otonal
5 0-2-4 1-3/2-9/8 ambitonal
6 0-3-4 1-20/11-10/9 utonal
7 0-1-5 1-11/9-11/8 utonal
8 0-2-5 1-3/2-11/8 otonal
9 0-3-5 1-11/6-11/8 utonal
10 0-4-5 1-9/8-11/8 otonal
11 0-1-6 1-11/9-5/3 biyatismic
12 0-2-6 1-3/2-5/3 otonal
13 0-3-6 1-20/11-5/3 utonal
14 0-4-6 1-10/9-5/3 utonal
15 0-5-6 1-11/8-5/3 biyatismic
16 0-2-8 1-3/2-5/4 otonal
17 0-3-8 1-20/11-5/4 utonal
18 0-4-8 1-9/8-5/4 otonal
19 0-5-8 1-11/8-5/4 otonal
20 0-6-8 1-5/3-5/4 utonal
21 0-3-11 1-20/11-8/7 valinorsmic
22 0-5-11 1-11/8-8/7 keenanismic
23 0-6-11 1-5/3-8/7 keenanismic
24 0-8-11 1-5/4-8/7 valinorsmic
25 0-2-13 1-3/2-12/7 utonal
26 0-5-13 1-11/8-12/7 keenanismic
27 0-8-13 1-5/4-12/7 keenanismic
28 0-11-13 1-8/7-12/7 otonal
29 0-2-15 1-3/2-9/7 utonal
30 0-4-15 1-9/8-9/7 utonal
31 0-11-15 1-8/7-9/7 otonal
32 0-13-15 1-12/7-9/7 otonal
33 0-1-16 1-11/9-11/7 utonal
34 0-3-16 1-11/6-11/7 utonal
35 0-5-16 1-11/8-11/7 utonal
36 0-8-16 1-5/4-11/7 valinorsmic
37 0-11-16 1-8/7-11/7 otonal
38 0-13-16 1-12/7-11/7 otonal
39 0-15-16 1-9/7-11/7 otonal
40 0-3-19 1-20/11-10/7 utonal
41 0-4-19 1-10/9-10/7 utonal
42 0-6-19 1-5/3-10/7 utonal
43 0-8-19 1-5/4-10/7 utonal
44 0-11-19 1-8/7-10/7 otonal
45 0-13-19 1-12/7-10/7 otonal
46 0-15-19 1-9/7-10/7 otonal
47 0-16-19 1-11/7-10/7 otonal

Tetrads

Number Chord Transversal Type
1 0-1-2-3 1-11/9-3/2-11/6 rastmic
2 0-1-2-4 1-11/9-3/2-9/8 rastmic
3 0-1-3-4 1-11/9-11/6-9/8 rastmic
4 0-2-3-4 1-3/2-11/6-9/8 rastmic
5 0-1-2-5 1-11/9-3/2-11/8 rastmic
6 0-1-3-5 1-11/9-11/6-11/8 utonal
7 0-2-3-5 1-3/2-11/6-11/8 ambitonal
8 0-1-4-5 1-11/9-9/8-11/8 didymic
9 0-2-4-5 1-3/2-9/8-11/8 otonal
10 0-3-4-5 1-11/6-9/8-11/8 rastmic
11 0-1-2-6 1-11/9-3/2-5/3 urania
12 0-1-3-6 1-11/9-20/11-5/3 biyatismic
13 0-2-3-6 1-3/2-11/6-5/3 otonal
14 0-1-4-6 1-11/9-10/9-5/3 biyatismic
15 0-2-4-6 1-3/2-9/8-5/3 didymic
16 0-3-4-6 1-20/11-10/9-5/3 utonal
17 0-1-5-6 1-11/9-11/8-5/3 biyatismic
18 0-2-5-6 1-3/2-11/8-5/3 biyatismic
19 0-3-5-6 1-20/11-11/8-5/3 biyatismic
20 0-4-5-6 1-9/8-11/8-5/3 urania
21 0-2-3-8 1-3/2-20/11-5/4 biyatismic
22 0-2-4-8 1-3/2-9/8-5/4 otonal
23 0-3-4-8 1-20/11-10/9-5/4 utonal
24 0-2-5-8 1-3/2-11/8-5/4 otonal
25 0-3-5-8 1-20/11-11/8-5/4 biyatismic
26 0-4-5-8 1-9/8-11/8-5/4 otonal
27 0-2-6-8 1-3/2-5/3-5/4 ambitonal
28 0-3-6-8 1-20/11-5/3-5/4 utonal
29 0-4-6-8 1-10/9-5/3-5/4 utonal
30 0-5-6-8 1-11/8-5/3-5/4 biyatismic
31 0-3-5-11 1-11/6-11/8-8/7 keenanismic
32 0-3-6-11 1-11/6-5/3-8/7 keenanismic
33 0-5-6-11 1-11/8-5/3-8/7 zeus
34 0-3-8-11 1-20/11-5/4-8/7 valinorsmic
35 0-5-8-11 1-11/8-5/4-8/7 keenanismic
36 0-6-8-11 1-5/3-5/4-8/7 keenanismic
37 0-2-5-13 1-3/2-11/8-12/7 keenanismic
38 0-2-8-13 1-3/2-5/4-12/7 keenanismic
39 0-5-8-13 1-11/8-5/4-12/7 keenanismic
40 0-5-11-13 1-11/8-8/7-12/7 keenanismic
41 0-8-11-13 1-5/4-8/7-12/7 keenanismic
42 0-2-4-15 1-3/2-9/8-9/7 utonal
43 0-2-13-15 1-3/2-12/7-9/7 ambitonal
44 0-11-13-15 1-8/7-12/7-9/7 otonal
45 0-1-3-16 1-11/9-11/6-11/7 utonal
46 0-1-5-16 1-11/9-11/8-11/7 utonal
47 0-3-5-16 1-11/6-11/8-11/7 utonal
48 0-3-8-16 1-20/11-5/4-11/7 zeus
49 0-5-8-16 1-11/8-5/4-11/7 valinorsmic
50 0-3-11-16 1-11/6-8/7-11/7 keenanismic
51 0-5-11-16 1-11/8-8/7-11/7 keenanismic
52 0-8-11-16 1-5/4-8/7-11/7 valinorsmic
53 0-5-13-16 1-11/8-12/7-11/7 keenanismic
54 0-8-13-16 1-5/4-12/7-11/7 zeus
55 0-11-13-16 1-8/7-12/7-11/7 otonal
56 0-11-15-16 1-8/7-9/7-11/7 otonal
57 0-13-15-16 1-12/7-9/7-11/7 otonal
58 0-3-4-19 1-20/11-10/9-10/7 utonal
59 0-3-6-19 1-20/11-5/3-10/7 utonal
60 0-4-6-19 1-10/9-5/3-10/7 utonal
61 0-3-8-19 1-20/11-5/4-10/7 utonal
62 0-4-8-19 1-10/9-5/4-10/7 utonal
63 0-6-8-19 1-5/3-5/4-10/7 utonal
64 0-3-11-19 1-20/11-8/7-10/7 valinorsmic
65 0-6-11-19 1-5/3-8/7-10/7 keenanismic
66 0-8-11-19 1-5/4-8/7-10/7 valinorsmic
67 0-8-13-19 1-5/4-12/7-10/7 keenanismic
68 0-11-13-19 1-8/7-12/7-10/7 otonal
69 0-4-15-19 1-9/8-9/7-10/7 didymic
70 0-11-15-19 1-8/7-9/7-10/7 otonal
71 0-13-15-19 1-12/7-9/7-10/7 otonal
72 0-3-16-19 1-20/11-11/7-10/7 biyatismic
73 0-8-16-19 1-5/4-11/7-10/7 valinorsmic
74 0-11-16-19 1-8/7-11/7-10/7 otonal
75 0-13-16-19 1-12/7-11/7-10/7 otonal
76 0-15-16-19 1-9/7-11/7-10/7 otonal

Pentads

Number Chord Transversal Type
1 0-1-2-3-4 1-11/9-3/2-11/6-9/8 rastmic
2 0-1-2-3-5 1-11/9-3/2-11/6-11/8 rastmic
3 0-1-2-4-5 1-11/9-3/2-9/8-11/8 rastmic
4 0-1-3-4-5 1-11/9-11/6-9/8-11/8 rastmic
5 0-2-3-4-5 1-3/2-11/6-9/8-11/8 rastmic
6 0-1-2-3-6 1-11/9-3/2-20/11-5/3 urania
7 0-1-2-4-6 1-11/9-3/2-9/8-5/3 urania
8 0-1-3-4-6 1-11/9-20/11-10/9-5/3 biyatismic
9 0-2-3-4-6 1-3/2-20/11-9/8-5/3 urania
10 0-1-2-5-6 1-11/9-3/2-11/8-5/3 urania
11 0-1-3-5-6 1-11/9-20/11-11/8-5/3 biyatismic
12 0-2-3-5-6 1-3/2-20/11-11/8-5/3 biyatismic
13 0-1-4-5-6 1-11/9-9/8-11/8-5/3 urania
14 0-2-4-5-6 1-3/2-9/8-11/8-5/3 urania
15 0-3-4-5-6 1-20/11-9/8-11/8-5/3 urania
16 0-2-3-4-8 1-3/2-20/11-9/8-5/4 urania
17 0-2-3-5-8 1-3/2-20/11-11/8-5/4 biyatismic
18 0-2-4-5-8 1-3/2-9/8-11/8-5/4 otonal
19 0-3-4-5-8 1-20/11-9/8-11/8-5/4 urania
20 0-2-3-6-8 1-3/2-20/11-5/3-5/4 biyatismic
21 0-2-4-6-8 1-3/2-9/8-5/3-5/4 didymic
22 0-3-4-6-8 1-20/11-10/9-5/3-5/4 utonal
23 0-2-5-6-8 1-3/2-11/8-5/3-5/4 biyatismic
24 0-3-5-6-8 1-20/11-11/8-5/3-5/4 biyatismic
25 0-4-5-6-8 1-9/8-11/8-5/3-5/4 urania
26 0-3-5-6-11 1-20/11-11/8-5/3-8/7 zeus
27 0-3-5-8-11 1-20/11-11/8-5/4-8/7 zeus
28 0-3-6-8-11 1-20/11-5/3-5/4-8/7 zeus
29 0-5-6-8-11 1-11/8-5/3-5/4-8/7 zeus
30 0-2-5-8-13 1-3/2-11/8-5/4-12/7 keenanismic
31 0-5-8-11-13 1-11/8-5/4-8/7-12/7 keenanismic
32 0-1-3-5-16 1-11/9-11/6-11/8-11/7 utonal
33 0-3-5-8-16 1-20/11-11/8-5/4-11/7 zeus
34 0-3-5-11-16 1-11/6-11/8-8/7-11/7 keenanismic
35 0-3-8-11-16 1-20/11-5/4-8/7-11/7 zeus
36 0-5-8-11-16 1-11/8-5/4-8/7-11/7 zeus
37 0-5-8-13-16 1-11/8-5/4-12/7-11/7 zeus
38 0-5-11-13-16 1-11/8-8/7-12/7-11/7 keenanismic
39 0-8-11-13-16 1-5/4-8/7-12/7-11/7 zeus
40 0-11-13-15-16 1-8/7-12/7-9/7-11/7 otonal
41 0-3-4-6-19 1-20/11-10/9-5/3-10/7 utonal
42 0-3-4-8-19 1-20/11-10/9-5/4-10/7 utonal
43 0-3-6-8-19 1-20/11-5/3-5/4-10/7 utonal
44 0-4-6-8-19 1-10/9-5/3-5/4-10/7 utonal
45 0-3-6-11-19 1-20/11-5/3-8/7-10/7 zeus
46 0-3-8-11-19 1-20/11-5/4-8/7-10/7 valinorsmic
47 0-6-8-11-19 1-5/3-5/4-8/7-10/7 keenanismic
48 0-8-11-13-19 1-5/4-8/7-12/7-10/7 keenanismic
49 0-11-13-15-19 1-8/7-12/7-9/7-10/7 otonal
50 0-3-8-16-19 1-20/11-5/4-11/7-10/7 zeus
51 0-3-11-16-19 1-20/11-8/7-11/7-10/7 zeus
52 0-8-11-16-19 1-5/4-8/7-11/7-10/7 valinorsmic
53 0-8-13-16-19 1-5/4-12/7-11/7-10/7 zeus
54 0-11-13-16-19 1-8/7-12/7-11/7-10/7 otonal
55 0-11-15-16-19 1-8/7-9/7-11/7-10/7 otonal
56 0-13-15-16-19 1-12/7-9/7-11/7-10/7 otonal

Hexads

Number Chord Transversal Type
1 0-1-2-3-4-5 1-11/9-3/2-11/6-9/8-11/8 rastmic
2 0-1-2-3-4-6 1-11/9-3/2-20/11-9/8-5/3 urania
3 0-1-2-3-5-6 1-11/9-3/2-20/11-11/8-5/3 urania
4 0-1-2-4-5-6 1-11/9-3/2-9/8-11/8-5/3 urania
5 0-1-3-4-5-6 1-11/9-20/11-9/8-11/8-5/3 urania
6 0-2-3-4-5-6 1-3/2-20/11-9/8-11/8-5/3 urania
7 0-2-3-4-5-8 1-3/2-20/11-9/8-11/8-5/4 urania
8 0-2-3-4-6-8 1-3/2-20/11-9/8-5/3-5/4 urania
9 0-2-3-5-6-8 1-3/2-20/11-11/8-5/3-5/4 biyatismic
10 0-2-4-5-6-8 1-3/2-9/8-11/8-5/3-5/4 urania
11 0-3-4-5-6-8 1-20/11-9/8-11/8-5/3-5/4 urania
12 0-3-5-6-8-11 1-20/11-11/8-5/3-5/4-8/7 zeus
13 0-3-5-8-11-16 1-20/11-11/8-5/4-8/7-11/7 zeus
14 0-5-8-11-13-16 1-11/8-5/4-8/7-12/7-11/7 zeus
15 0-3-4-6-8-19 1-20/11-10/9-5/3-5/4-10/7 utonal
16 0-3-6-8-11-19 1-20/11-5/3-5/4-8/7-10/7 zeus
17 0-3-8-11-16-19 1-20/11-5/4-8/7-11/7-10/7 zeus
18 0-8-11-13-16-19 1-5/4-8/7-12/7-11/7-10/7 zeus
19 0-11-13-15-16-19 1-8/7-12/7-9/7-11/7-10/7 otonal

Septads

Number Chord Transversal Type
1 0-1-2-3-4-5-6 1-11/9-3/2-20/11-9/8-11/8-5/3 urania
2 0-2-3-4-5-6-8 1-3/2-20/11-9/8-11/8-5/3-5/4 urania
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