Mohajira/Chords

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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.

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, 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 || 1-11/9-20/11 || biyatismic ||
|| 3 || 0-2-3 || 1-3/2-20/11 || biyatismic ||
|| 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 || 1-20/11-11/8 || biyatismic ||
|| 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 || 1-20/11-11/7 || biyatismic ||
|| 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 || 1-11/9-3/2-20/11 || urania ||
|| 2 || 0-1-2-4 || 1-11/9-3/2-9/8 || urania ||
|| 3 || 0-1-3-4 || 1-11/9-20/11-9/8 || urania ||
|| 4 || 0-2-3-4 || 1-3/2-20/11-9/8 || urania ||
|| 5 || 0-1-2-5 || 1-11/9-3/2-11/8 || urania ||
|| 6 || 0-1-3-5 || 1-11/9-20/11-11/8 || biyatismic ||
|| 7 || 0-2-3-5 || 1-3/2-20/11-11/8 || biyatismic ||
|| 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 || 1-20/11-9/8-11/8 || urania ||
|| 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 || 1-3/2-20/11-5/3 || urania ||
|| 14 || 0-1-4-6 || 1-11/9-9/8-5/3 || urania ||
|| 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 || urania ||
|| 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 || 1-20/11-11/8-8/7 || zeus ||
|| 32 || 0-3-6-11 || 1-20/11-5/3-8/7 || zeus ||
|| 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 || zeus ||
|| 36 || 0-6-8-11 || 1-5/3-5/4-8/7 || zeus ||
|| 37 || 0-2-5-13 || 1-3/2-11/8-12/7 || zeus ||
|| 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 || zeus ||
|| 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 || 1-11/9-20/11-11/7 || biyatismic ||
|| 46 || 0-1-5-16 || 1-11/9-11/8-11/7 || utonal ||
|| 47 || 0-3-5-16 || 1-20/11-11/8-11/7 || biyatismic ||
|| 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 || 1-20/11-8/7-11/7 || zeus ||
|| 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 || zeus ||
|| 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 || 1-11/9-3/2-20/11-9/8 || urania ||
|| 2 || 0-1-2-3-5 || 1-11/9-3/2-20/11-11/8 || urania ||
|| 3 || 0-1-2-4-5 || 1-11/9-3/2-9/8-11/8 || urania ||
|| 4 || 0-1-3-4-5 || 1-11/9-20/11-9/8-11/8 || urania ||
|| 5 || 0-2-3-4-5 || 1-3/2-20/11-9/8-11/8 || urania ||
|| 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 || 1-11/9-20/11-9/8-5/3 || urania ||
|| 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 || urania ||
|| 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 || urania ||
|| 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 || urania ||
|| 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 || zeus ||
|| 31 || 0-5-8-11-13 || 1-11/8-5/4-8/7-12/7 || zeus ||
|| 32 || 0-1-3-5-16 || 1-11/9-20/11-11/8-11/7 || biyatismic ||
|| 33 || 0-3-5-8-16 || 1-20/11-11/8-5/4-11/7 || zeus ||
|| 34 || 0-3-5-11-16 || 1-20/11-11/8-8/7-11/7 || zeus ||
|| 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 || zeus ||
|| 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 || zeus ||
|| 48 || 0-8-11-13-19 || 1-5/4-8/7-12/7-10/7 || zeus ||
|| 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 || 1-11/9-3/2-20/11-9/8-11/8 || urania ||
|| 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 || urania ||
|| 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 ||

Original HTML content:

<html><head><title>Chords of migration</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Migration">migration temperament</a>. 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.<br />
<br />
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.<br />
<br />
Migration 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.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>


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

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>


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

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>


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

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>


<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-2-3-4-5<br />
</td>
        <td>1-11/9-3/2-20/11-9/8-11/8<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-1-2-3-4-6<br />
</td>
        <td>1-11/9-3/2-20/11-9/8-5/3<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-1-2-3-5-6<br />
</td>
        <td>1-11/9-3/2-20/11-11/8-5/3<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-1-2-4-5-6<br />
</td>
        <td>1-11/9-3/2-9/8-11/8-5/3<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-1-3-4-5-6<br />
</td>
        <td>1-11/9-20/11-9/8-11/8-5/3<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-2-3-4-5-6<br />
</td>
        <td>1-3/2-20/11-9/8-11/8-5/3<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-2-3-4-5-8<br />
</td>
        <td>1-3/2-20/11-9/8-11/8-5/4<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-2-3-4-6-8<br />
</td>
        <td>1-3/2-20/11-9/8-5/3-5/4<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-2-3-5-6-8<br />
</td>
        <td>1-3/2-20/11-11/8-5/3-5/4<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-2-4-5-6-8<br />
</td>
        <td>1-3/2-9/8-11/8-5/3-5/4<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-3-4-5-6-8<br />
</td>
        <td>1-20/11-9/8-11/8-5/3-5/4<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-3-5-6-8-11<br />
</td>
        <td>1-20/11-11/8-5/3-5/4-8/7<br />
</td>
        <td>zeus<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-3-5-8-11-16<br />
</td>
        <td>1-20/11-11/8-5/4-8/7-11/7<br />
</td>
        <td>zeus<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-5-8-11-13-16<br />
</td>
        <td>1-11/8-5/4-8/7-12/7-11/7<br />
</td>
        <td>zeus<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-3-4-6-8-19<br />
</td>
        <td>1-20/11-10/9-5/3-5/4-10/7<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-3-6-8-11-19<br />
</td>
        <td>1-20/11-5/3-5/4-8/7-10/7<br />
</td>
        <td>zeus<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-3-8-11-16-19<br />
</td>
        <td>1-20/11-5/4-8/7-11/7-10/7<br />
</td>
        <td>zeus<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-8-11-13-16-19<br />
</td>
        <td>1-5/4-8/7-12/7-11/7-10/7<br />
</td>
        <td>zeus<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-11-13-15-16-19<br />
</td>
        <td>1-8/7-12/7-9/7-11/7-10/7<br />
</td>
        <td>otonal<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Septads"></a><!-- ws:end:WikiTextHeadingRule:8 -->Septads</h1>


<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-2-3-4-5-6<br />
</td>
        <td>1-11/9-3/2-20/11-9/8-11/8-5/3<br />
</td>
        <td>urania<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-2-3-4-5-6-8<br />
</td>
        <td>1-3/2-20/11-9/8-11/8-5/3-5/4<br />
</td>
        <td>urania<br />
</td>
    </tr>
</table>

</body></html>