Valentine/Chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[valentine]] temperament. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. 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 11/10 and 11/6.  
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-22 23:18:34 UTC</tt>.<br>
: The original revision id was <tt>288250080</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Starling temperaments#Valentine temperament-11-limit|valentine temperament]]. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. 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 11/10 and 20/11.


If only 126/125 needs to be tempered out, the chord is labeled starling, if 121/120, biyatismic, if 176/175, valinorsmic, if 385/384, keenanismic, and if 441/440, werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.
If only [[126/125]] needs to be tempered out, the chord is labeled [[starling chords|starling]], if [[121/120]], [[biyatismic chords|biyatismic]], if [[176/175]], [[valinorsmic chords|valinorsmic]], if [[385/384]], [[keenanismic chords|keenanismic]], and if [[441/440]], [[werckismic chords|werckismic]]. Chords which require any two of 121/120, 176/175 or 385/384 are labeled [[zeus chords|zeus]], if they require any two of 126/125, 176/175 or 441/440, they are labeled [[thrush chords|thrush]]. Finally, if they require any three independent commas among those discussed above, it is labeled [[valentine chords|valentine]].


Valentine has MOS of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords.
Valentine has [[mos scale]]s of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords.  


=Triads=
== Relationship to Carlos Alpha ==
|| Number || Chord || Transversal || Type ||
Because [[Carlos Alpha]] is the generator chain of valentine, the list below is also a list of chords of Carlos Alpha, so long as the transversals are adjusted so that the notes are in the correct octave. This means that a number in a chord listed under "chord" less than 16 corresponds to a note in the transversal which should be left unaltered, whereas the notes from 16 to 21 correspond to transversal notes which should be adjusted up an octave. Hence, tetrad 8, the 0–2–5–9 chord with transversal 1–6/5–11/8–3/2, is an essentially zeus chord of Carlos Alpha as well as valentine. On the other hand, tetrad 76, 0–10–13–18 with transversal 1–11/7–9/5–9/8, corresponds to the werckismic 1–11/7–9/5–9/4 chord of Carlos Alpha.
|| 1 || 0-2-4 || 1-11/10-6/5 || otonal ||
|| 2 || 0-2-5 || 1-11/10-5/4 || valinorsmic ||
|| 3 || 0-3-5 || 1-8/7-5/4 || valinorsmic ||
|| 4 || 0-2-7 || 1-11/10-11/8 || utonal ||
|| 5 || 0-3-7 || 1-8/7-11/8 || keenanismic ||
|| 6 || 0-4-7 || 1-6/5-11/8 || keenanismic ||
|| 7 || 0-5-7 || 1-5/4-11/8 || otonal ||
|| 8 || 0-3-8 || 1-8/7-10/7 || otonal ||
|| 9 || 0-4-8 || 1-6/5-10/7 || starling ||
|| 10 || 0-5-8 || 1-5/4-10/7 || utonal ||
|| 11 || 0-2-9 || 1-12/11-3/2 || utonal ||
|| 12 || 0-4-9 || 1-6/5-3/2 || utonal ||
|| 13 || 0-5-9 || 1-5/4-3/2 || otonal ||
|| 14 || 0-7-9 || 1-11/8-3/2 || otonal ||
|| 15 || 0-2-10 || 1-11/10-11/7 || utonal ||
|| 16 || 0-3-10 || 1-8/7-11/7 || otonal ||
|| 17 || 0-5-10 || 1-5/4-11/7 || valinorsmic ||
|| 18 || 0-7-10 || 1-11/8-11/7 || utonal ||
|| 19 || 0-8-10 || 1-10/7-11/7 || otonal ||
|| 20 || 0-2-11 || 1-12/11-18/11 || otonal ||
|| 21 || 0-3-11 || 1-8/7-18/11 || werckismic ||
|| 22 || 0-4-11 || 1-6/5-18/11 || biyatismic ||
|| 23 || 0-7-11 || 1-11/8-18/11 || biyatismic ||
|| 24 || 0-8-11 || 1-10/7-18/11 || werckismic ||
|| 25 || 0-9-11 || 1-3/2-18/11 || utonal ||
|| 26 || 0-2-12 || 1-12/11-12/7 || utonal ||
|| 27 || 0-3-12 || 1-8/7-12/7 || otonal ||
|| 28 || 0-4-12 || 1-6/5-12/7 || utonal ||
|| 29 || 0-5-12 || 1-5/4-12/7 || keenanismic ||
|| 30 || 0-7-12 || 1-11/8-12/7 || keenanismic ||
|| 31 || 0-8-12 || 1-10/7-12/7 || otonal ||
|| 32 || 0-9-12 || 1-3/2-12/7 || utonal ||
|| 33 || 0-10-12 || 1-11/7-12/7 || otonal ||
|| 34 || 0-2-13 || 1-11/10-9/5 || otonal ||
|| 35 || 0-3-13 || 1-8/7-9/5 || werckismic ||
|| 36 || 0-4-13 || 1-6/5-9/5 || otonal ||
|| 37 || 0-5-13 || 1-5/4-9/5 || starling ||
|| 38 || 0-8-13 || 1-10/7-9/5 || starling ||
|| 39 || 0-9-13 || 1-3/2-9/5 || utonal ||
|| 40 || 0-10-13 || 1-11/7-9/5 || werckismic ||
|| 41 || 0-11-13 || 1-18/11-9/5 || utonal ||
|| 42 || 0-5-18 || 1-5/4-9/8 || otonal ||
|| 43 || 0-7-18 || 1-11/8-9/8 || otonal ||
|| 44 || 0-8-18 || 1-10/7-9/8 || werckismic ||
|| 45 || 0-9-18 || 1-3/2-9/8 || ambitonal ||
|| 46 || 0-10-18 || 1-11/7-9/8 || werckismic ||
|| 47 || 0-11-18 || 1-18/11-9/8 || utonal ||
|| 48 || 0-13-18 || 1-9/5-9/8 || utonal ||
|| 49 || 0-3-21 || 1-8/7-9/7 || otonal ||
|| 50 || 0-8-21 || 1-10/7-9/7 || otonal ||
|| 51 || 0-9-21 || 1-3/2-9/7 || utonal ||
|| 52 || 0-10-21 || 1-11/7-9/7 || otonal ||
|| 53 || 0-11-21 || 1-18/11-9/7 || utonal ||
|| 54 || 0-12-21 || 1-12/7-9/7 || otonal ||
|| 55 || 0-13-21 || 1-9/5-9/7 || utonal ||
|| 56 || 0-18-21 || 1-9/8-9/7 || utonal ||


=Tetrads=
In other words, each chord here has an unlimited number of "voicings" in valentine temperament, but exactly one voicing in Carlos Alpha, because there are no octaves.
|| Number || Chord || Transversal || Type ||
|| 1 || 0-2-4-7 || 1-11/10-6/5-11/8 || zeus ||
|| 2 || 0-2-5-7 || 1-11/10-5/4-11/8 || valinorsmic ||
|| 3 || 0-3-5-7 || 1-8/7-5/4-11/8 || zeus ||
|| 4 || 0-3-5-8 || 1-8/7-5/4-10/7 || valinorsmic ||
|| 5 || 0-2-4-9 || 1-12/11-6/5-3/2 || utonal ||
|| 6 || 0-2-5-9 || 1-11/10-5/4-3/2 || zeus ||
|| 7 || 0-2-7-9 || 1-11/10-11/8-3/2 || biyatismic ||
|| 8 || 0-4-7-9 || 1-6/5-11/8-3/2 || zeus ||
|| 9 || 0-5-7-9 || 1-5/4-11/8-3/2 || otonal ||
|| 10 || 0-2-5-10 || 1-11/10-5/4-11/7 || valinorsmic ||
|| 11 || 0-3-5-10 || 1-8/7-5/4-11/7 || valinorsmic ||
|| 12 || 0-2-7-10 || 1-11/10-11/8-11/7 || utonal ||
|| 13 || 0-3-7-10 || 1-8/7-11/8-11/7 || keenanismic ||
|| 14 || 0-5-7-10 || 1-5/4-11/8-11/7 || valinorsmic ||
|| 15 || 0-3-8-10 || 1-8/7-10/7-11/7 || otonal ||
|| 16 || 0-5-8-10 || 1-5/4-10/7-11/7 || valinorsmic ||
|| 17 || 0-2-4-11 || 1-11/10-6/5-18/11 || biyatismic ||
|| 18 || 0-2-7-11 || 1-11/10-11/8-18/11 || biyatismic ||
|| 19 || 0-3-7-11 || 1-8/7-11/8-18/11 || valentine ||
|| 20 || 0-4-7-11 || 1-6/5-11/8-18/11 || zeus ||
|| 21 || 0-3-8-11 || 1-8/7-10/7-18/11 || werckismic ||
|| 22 || 0-4-8-11 || 1-6/5-10/7-18/11 || valentine ||
|| 23 || 0-2-9-11 || 1-12/11-3/2-18/11 || ambitonal ||
|| 24 || 0-4-9-11 || 1-6/5-3/2-18/11 || biyatismic ||
|| 25 || 0-7-9-11 || 1-11/8-3/2-18/11 || biyatismic ||
|| 26 || 0-2-4-12 || 1-12/11-6/5-12/7 || utonal ||
|| 27 || 0-2-5-12 || 1-11/10-5/4-12/7 || zeus ||
|| 28 || 0-3-5-12 || 1-8/7-5/4-12/7 || zeus ||
|| 29 || 0-2-7-12 || 1-11/10-11/8-12/7 || zeus ||
|| 30 || 0-3-7-12 || 1-8/7-11/8-12/7 || keenanismic ||
|| 31 || 0-4-7-12 || 1-6/5-11/8-12/7 || keenanismic ||
|| 32 || 0-5-7-12 || 1-5/4-11/8-12/7 || keenanismic ||
|| 33 || 0-3-8-12 || 1-8/7-10/7-12/7 || otonal ||
|| 34 || 0-4-8-12 || 1-6/5-10/7-12/7 || starling ||
|| 35 || 0-5-8-12 || 1-5/4-10/7-12/7 || keenanismic ||
|| 36 || 0-2-9-12 || 1-12/11-3/2-12/7 || utonal ||
|| 37 || 0-4-9-12 || 1-6/5-3/2-12/7 || utonal ||
|| 38 || 0-5-9-12 || 1-5/4-3/2-12/7 || keenanismic ||
|| 39 || 0-7-9-12 || 1-11/8-3/2-12/7 || zeus ||
|| 40 || 0-2-10-12 || 1-11/10-11/7-12/7 || biyatismic ||
|| 41 || 0-3-10-12 || 1-8/7-11/7-12/7 || otonal ||
|| 42 || 0-5-10-12 || 1-5/4-11/7-12/7 || zeus ||
|| 43 || 0-7-10-12 || 1-11/8-11/7-12/7 || zeus ||
|| 44 || 0-8-10-12 || 1-10/7-11/7-12/7 || otonal ||
|| 45 || 0-2-4-13 || 1-11/10-6/5-9/5 || otonal ||
|| 46 || 0-2-5-13 || 1-11/10-5/4-9/5 || thrush ||
|| 47 || 0-3-5-13 || 1-8/7-5/4-9/5 || thrush ||
|| 48 || 0-3-8-13 || 1-8/7-10/7-9/5 || thrush ||
|| 49 || 0-4-8-13 || 1-6/5-10/7-9/5 || starling ||
|| 50 || 0-5-8-13 || 1-5/4-10/7-9/5 || starling ||
|| 51 || 0-2-9-13 || 1-11/10-3/2-9/5 || biyatismic ||
|| 52 || 0-4-9-13 || 1-6/5-3/2-9/5 || ambitonal ||
|| 53 || 0-5-9-13 || 1-5/4-3/2-9/5 || starling ||
|| 54 || 0-2-10-13 || 1-11/10-11/7-9/5 || werckismic ||
|| 55 || 0-3-10-13 || 1-8/7-11/7-9/5 || werckismic ||
|| 56 || 0-5-10-13 || 1-5/4-11/7-9/5 || thrush ||
|| 57 || 0-8-10-13 || 1-10/7-11/7-9/5 || thrush ||
|| 58 || 0-2-11-13 || 1-11/10-18/11-9/5 || biyatismic ||
|| 59 || 0-3-11-13 || 1-8/7-18/11-9/5 || werckismic ||
|| 60 || 0-4-11-13 || 1-6/5-18/11-9/5 || biyatismic ||
|| 61 || 0-8-11-13 || 1-10/7-18/11-9/5 || thrush ||
|| 62 || 0-9-11-13 || 1-3/2-18/11-9/5 || utonal ||
|| 63 || 0-5-7-18 || 1-5/4-11/8-9/8 || otonal ||
|| 64 || 0-5-8-18 || 1-5/4-10/7-9/8 || werckismic ||
|| 65 || 0-5-9-18 || 1-5/4-3/2-9/8 || otonal ||
|| 66 || 0-7-9-18 || 1-11/8-3/2-9/8 || otonal ||
|| 67 || 0-5-10-18 || 1-5/4-11/7-9/8 || thrush ||
|| 68 || 0-7-10-18 || 1-11/8-11/7-9/8 || werckismic ||
|| 69 || 0-8-10-18 || 1-10/7-11/7-9/8 || werckismic ||
|| 70 || 0-7-11-18 || 1-11/8-18/11-9/8 || biyatismic ||
|| 71 || 0-8-11-18 || 1-10/7-18/11-9/8 || werckismic ||
|| 72 || 0-9-11-18 || 1-3/2-18/11-9/8 || utonal ||
|| 73 || 0-5-13-18 || 1-5/4-9/5-9/8 || starling ||
|| 74 || 0-8-13-18 || 1-10/7-9/5-9/8 || thrush ||
|| 75 || 0-9-13-18 || 1-3/2-9/5-9/8 || utonal ||
|| 76 || 0-10-13-18 || 1-11/7-9/5-9/8 || werckismic ||
|| 77 || 0-11-13-18 || 1-18/11-9/5-9/8 || utonal ||
|| 78 || 0-3-8-21 || 1-8/7-10/7-9/7 || otonal ||
|| 79 || 0-3-10-21 || 1-8/7-11/7-9/7 || otonal ||
|| 80 || 0-8-10-21 || 1-10/7-11/7-9/7 || otonal ||
|| 81 || 0-3-11-21 || 1-8/7-18/11-9/7 || werckismic ||
|| 82 || 0-8-11-21 || 1-10/7-18/11-9/7 || werckismic ||
|| 83 || 0-9-11-21 || 1-3/2-18/11-9/7 || utonal ||
|| 84 || 0-3-12-21 || 1-8/7-12/7-9/7 || otonal ||
|| 85 || 0-8-12-21 || 1-10/7-12/7-9/7 || otonal ||
|| 86 || 0-9-12-21 || 1-3/2-12/7-9/7 || ambitonal ||
|| 87 || 0-10-12-21 || 1-11/7-12/7-9/7 || otonal ||
|| 88 || 0-3-13-21 || 1-8/7-9/5-9/7 || werckismic ||
|| 89 || 0-8-13-21 || 1-10/7-9/5-9/7 || starling ||
|| 90 || 0-9-13-21 || 1-3/2-9/5-9/7 || utonal ||
|| 91 || 0-10-13-21 || 1-11/7-9/5-9/7 || werckismic ||
|| 92 || 0-11-13-21 || 1-18/11-9/5-9/7 || utonal ||
|| 93 || 0-8-18-21 || 1-10/7-9/8-9/7 || werckismic ||
|| 94 || 0-9-18-21 || 1-3/2-9/8-9/7 || utonal ||
|| 95 || 0-10-18-21 || 1-11/7-9/8-9/7 || werckismic ||
|| 96 || 0-11-18-21 || 1-18/11-9/8-9/7 || utonal ||
|| 97 || 0-13-18-21 || 1-9/5-9/8-9/7 || utonal ||


=Pentads=
== Chord ordering ==
|| Number || Chord || Transversal || Type ||
The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of valentine.
|| 1 || 0-2-4-7-9 || 1-11/10-6/5-11/8-3/2 || zeus ||
|| 2 || 0-2-5-7-9 || 1-11/10-5/4-11/8-3/2 || zeus ||
|| 3 || 0-2-5-7-10 || 1-11/10-5/4-11/8-11/7 || valinorsmic ||
|| 4 || 0-3-5-7-10 || 1-8/7-5/4-11/8-11/7 || zeus ||
|| 5 || 0-3-5-8-10 || 1-8/7-5/4-10/7-11/7 || valinorsmic ||
|| 6 || 0-2-4-7-11 || 1-11/10-6/5-11/8-18/11 || zeus ||
|| 7 || 0-2-4-9-11 || 1-11/10-6/5-3/2-18/11 || biyatismic ||
|| 8 || 0-2-7-9-11 || 1-11/10-11/8-3/2-18/11 || biyatismic ||
|| 9 || 0-4-7-9-11 || 1-6/5-11/8-3/2-18/11 || zeus ||
|| 10 || 0-2-4-7-12 || 1-11/10-6/5-11/8-12/7 || zeus ||
|| 11 || 0-2-5-7-12 || 1-11/10-5/4-11/8-12/7 || zeus ||
|| 12 || 0-3-5-7-12 || 1-8/7-5/4-11/8-12/7 || zeus ||
|| 13 || 0-3-5-8-12 || 1-8/7-5/4-10/7-12/7 || zeus ||
|| 14 || 0-2-4-9-12 || 1-12/11-6/5-3/2-12/7 || utonal ||
|| 15 || 0-2-5-9-12 || 1-11/10-5/4-3/2-12/7 || zeus ||
|| 16 || 0-2-7-9-12 || 1-11/10-11/8-3/2-12/7 || zeus ||
|| 17 || 0-4-7-9-12 || 1-6/5-11/8-3/2-12/7 || zeus ||
|| 18 || 0-5-7-9-12 || 1-5/4-11/8-3/2-12/7 || zeus ||
|| 19 || 0-2-5-10-12 || 1-11/10-5/4-11/7-12/7 || zeus ||
|| 20 || 0-3-5-10-12 || 1-8/7-5/4-11/7-12/7 || zeus ||
|| 21 || 0-2-7-10-12 || 1-11/10-11/8-11/7-12/7 || zeus ||
|| 22 || 0-3-7-10-12 || 1-8/7-11/8-11/7-12/7 || zeus ||
|| 23 || 0-5-7-10-12 || 1-5/4-11/8-11/7-12/7 || zeus ||
|| 24 || 0-3-8-10-12 || 1-8/7-10/7-11/7-12/7 || otonal ||
|| 25 || 0-5-8-10-12 || 1-5/4-10/7-11/7-12/7 || zeus ||
|| 26 || 0-3-5-8-13 || 1-8/7-5/4-10/7-9/5 || thrush ||
|| 27 || 0-2-4-9-13 || 1-11/10-6/5-3/2-9/5 || biyatismic ||
|| 28 || 0-2-5-9-13 || 1-11/10-5/4-3/2-9/5 || valentine ||
|| 29 || 0-2-5-10-13 || 1-11/10-5/4-11/7-9/5 || thrush ||
|| 30 || 0-3-5-10-13 || 1-8/7-5/4-11/7-9/5 || thrush ||
|| 31 || 0-3-8-10-13 || 1-8/7-10/7-11/7-9/5 || thrush ||
|| 32 || 0-5-8-10-13 || 1-5/4-10/7-11/7-9/5 || thrush ||
|| 33 || 0-2-4-11-13 || 1-11/10-6/5-18/11-9/5 || biyatismic ||
|| 34 || 0-3-8-11-13 || 1-8/7-10/7-18/11-9/5 || thrush ||
|| 35 || 0-4-8-11-13 || 1-6/5-10/7-18/11-9/5 || valentine ||
|| 36 || 0-2-9-11-13 || 1-11/10-3/2-18/11-9/5 || biyatismic ||
|| 37 || 0-4-9-11-13 || 1-6/5-3/2-18/11-9/5 || biyatismic ||
|| 38 || 0-5-7-9-18 || 1-5/4-11/8-3/2-9/8 || otonal ||
|| 39 || 0-5-7-10-18 || 1-5/4-11/8-11/7-9/8 || thrush ||
|| 40 || 0-5-8-10-18 || 1-5/4-10/7-11/7-9/8 || thrush ||
|| 41 || 0-7-9-11-18 || 1-11/8-3/2-18/11-9/8 || biyatismic ||
|| 42 || 0-5-8-13-18 || 1-5/4-10/7-9/5-9/8 || thrush ||
|| 43 || 0-5-9-13-18 || 1-5/4-3/2-9/5-9/8 || starling ||
|| 44 || 0-5-10-13-18 || 1-5/4-11/7-9/5-9/8 || thrush ||
|| 45 || 0-8-10-13-18 || 1-10/7-11/7-9/5-9/8 || thrush ||
|| 46 || 0-8-11-13-18 || 1-10/7-18/11-9/5-9/8 || thrush ||
|| 47 || 0-9-11-13-18 || 1-3/2-18/11-9/5-9/8 || utonal ||
|| 48 || 0-3-8-10-21 || 1-8/7-10/7-11/7-9/7 || otonal ||
|| 49 || 0-3-8-11-21 || 1-8/7-10/7-18/11-9/7 || werckismic ||
|| 50 || 0-3-8-12-21 || 1-8/7-10/7-12/7-9/7 || otonal ||
|| 51 || 0-3-10-12-21 || 1-8/7-11/7-12/7-9/7 || otonal ||
|| 52 || 0-8-10-12-21 || 1-10/7-11/7-12/7-9/7 || otonal ||
|| 53 || 0-3-8-13-21 || 1-8/7-10/7-9/5-9/7 || thrush ||
|| 54 || 0-3-10-13-21 || 1-8/7-11/7-9/5-9/7 || werckismic ||
|| 55 || 0-8-10-13-21 || 1-10/7-11/7-9/5-9/7 || thrush ||
|| 56 || 0-3-11-13-21 || 1-8/7-18/11-9/5-9/7 || werckismic ||
|| 57 || 0-8-11-13-21 || 1-10/7-18/11-9/5-9/7 || thrush ||
|| 58 || 0-9-11-13-21 || 1-3/2-18/11-9/5-9/7 || utonal ||
|| 59 || 0-8-10-18-21 || 1-10/7-11/7-9/8-9/7 || werckismic ||
|| 60 || 0-8-11-18-21 || 1-10/7-18/11-9/8-9/7 || werckismic ||
|| 61 || 0-9-11-18-21 || 1-3/2-18/11-9/8-9/7 || utonal ||
|| 62 || 0-8-13-18-21 || 1-10/7-9/5-9/8-9/7 || thrush ||
|| 63 || 0-9-13-18-21 || 1-3/2-9/5-9/8-9/7 || utonal ||
|| 64 || 0-10-13-18-21 || 1-11/7-9/5-9/8-9/7 || werckismic ||
|| 65 || 0-11-13-18-21 || 1-18/11-9/5-9/8-9/7 || utonal ||


=Hexads=
Example 1: Triad #13 is generators 0–5–9 and is a traditional five-limit major chord, [[4:5:6|1–5/4–3/2]]. It occurs for the first time on the ninth generation, and will therefore occur six times in Valentine[15] (because {{nowrap| 15 - 9 {{=}} 6 }}).  
|| Number || Chord || Transversal || Type ||
|| 1 || 0-2-4-7-9-11 || 1-11/10-6/5-11/8-3/2-18/11 || zeus ||
|| 2 || 0-2-4-7-9-12 || 1-11/10-6/5-11/8-3/2-12/7 || zeus ||
|| 3 || 0-2-5-7-9-12 || 1-11/10-5/4-11/8-3/2-12/7 || zeus ||
|| 4 || 0-2-5-7-10-12 || 1-11/10-5/4-11/8-11/7-12/7 || zeus ||
|| 5 || 0-3-5-7-10-12 || 1-8/7-5/4-11/8-11/7-12/7 || zeus ||
|| 6 || 0-3-5-8-10-12 || 1-8/7-5/4-10/7-11/7-12/7 || zeus ||
|| 7 || 0-3-5-8-10-13 || 1-8/7-5/4-10/7-11/7-9/5 || thrush ||
|| 8 || 0-2-4-9-11-13 || 1-11/10-6/5-3/2-18/11-9/5 || biyatismic ||
|| 9 || 0-5-8-10-13-18 || 1-5/4-10/7-11/7-9/5-9/8 || thrush ||
|| 10 || 0-3-8-10-12-21 || 1-8/7-10/7-11/7-12/7-9/7 || otonal ||
|| 11 || 0-3-8-10-13-21 || 1-8/7-10/7-11/7-9/5-9/7 || thrush ||
|| 12 || 0-3-8-11-13-21 || 1-8/7-10/7-18/11-9/5-9/7 || thrush ||
|| 13 || 0-8-10-13-18-21 || 1-10/7-11/7-9/5-9/8-9/7 || thrush ||
|| 14 || 0-8-11-13-18-21 || 1-10/7-18/11-9/5-9/8-9/7 || thrush ||
|| 15 || 0-9-11-13-18-21 || 1-3/2-18/11-9/5-9/8-9/7 || utonal ||
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of valentine&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Starling%20temperaments#Valentine temperament-11-limit"&gt;valentine temperament&lt;/a&gt;. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. 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 11/10 and 20/11.&lt;br /&gt;
&lt;br /&gt;
If only 126/125 needs to be tempered out, the chord is labeled starling, if 121/120, biyatismic, if 176/175, valinorsmic, if 385/384, keenanismic, and if 441/440, werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.&lt;br /&gt;
&lt;br /&gt;
Valentine has MOS of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;


Example 2: Triad #38 is generators 0–8–13, which is 1–5/4–7/5, occurs for the first time on the thirteenth generation, and therefore appears only twice in Valentine[15] (because {{nowrap| 15 - 13 {{=}} 2 }}).


&lt;table class="wiki_table"&gt;
Each of the triads generated has three inversions, i.e., can be written starting on any one of the three tones in the triad. Traditional music theory uses a traditional chord, e.g., the major triad, as the basis for the other two inversions. In this list, that place is taken by the chord that gets generated after a certain number of generator steps is taken to reach the tones needed for the chord. This ordering makes it easy to see how often it will occur in a given mos, as noted in the examples above, but it may seem surprising if you are new to it: for example, triad #8 is 1–8/7–10/7, but it might seem more "natural" to use 1–5/4–7/4, which is listed as the second inversion. The same type of thinking goes into the list of tetrads, pentads, and hexads.
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;starling&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;starling&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;starling&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
Note that, unlike in traditional music theory, there is nothing canonical, key-centric, harmonically relevant, or otherwise musically important about these orderings and inversions. It is just how the math works out.
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrads&lt;/h1&gt;


== Triads ==
{| class="wikitable center-1"
|-
! #
! Chord
! Transversal
! Type
! As generated
! 1st inversion
! 2nd inversion
|-
|-
| 1
| 0-2-4
| 1-11/10-6/5
| otonal
| 1/1-11/10-6/5
| 1/1-11/10-11/6
| 1/1-5/3-11/6
|-
| 2
| 0-2-5
| 1-11/10-5/4
| valinorsmic
| 1/1-11/10-5/4
| 1/1-8/7-11/6
| 1/1-8/5-7/4
|-
| 3
| 0-3-5
| 1-8/7-5/4
| valinorsmic
| 1/1-8/7-5/4
| 1/1-11/10-7/4
| 1/1-8/5-11/6
|-
| 4
| 0-2-7
| 1-11/10-11/8
| utonal
| 1/1-11/10-11/8
| 1/1-5/4-11/6
| 1/1-16/11-8/5
|-
| 5
| 0-3-7
| 1-8/7-11/8
| keenanismic
| 1/1-8/7-11/8
| 1/1-6/5-7/4
| 1/1-16/11-5/3
|-
| 6
| 0-4-7
| 1-6/5-11/8
| keenanismic
| 1/1-6/5-11/8
| 1/1-8/7-5/3
| 1/1-16/11-7/4
|-
| 7
| 0-5-7
| 1-5/4-11/8
| otonal
| 1/1-5/4-11/8
| 1/1-11/10-8/5
| 1/1-16/11-11/6
|-
| 8
| 0-3-8
| 1-8/7-10/7
| otonal
| 1/1-8/7-10/7
| 1/1-5/4-7/4
| 1/1-7/5-8/5
|-
| 9
| 0-4-8
| 1-6/5-10/7
| starling
| 1/1-6/5-10/7
| 1/1-6/5-5/3
| 1/1-7/5-5/3
|-
| 10
| 0-5-8
| 1-5/4-10/7
| utonal
| 1/1-5/4-10/7
| 1/1-8/7-8/5
| 1/1-7/5-7/4
|-
| 11
| 0-2-9
| 1-11/10-3/2
| utonal
| 1/1-11/10-3/2
| 1/1-11/8-11/6
| 1/1-4/3-16/11
|-
| 12
| 0-4-9
| 1-6/5-3/2
| utonal
| 1/1-6/5-3/2
| 1/1-5/4-5/3
| 1/1-4/3-8/5
|-
| 13
| 0-5-9
| 1-5/4-3/2
| otonal
| 1/1-5/4-3/2
| 1/1-6/5-8/5
| 1/1-4/3-5/3
|-
| 14
| 0-7-9
| 1-11/8-3/2
| otonal
| 1/1-11/8-3/2
| 1/1-11/10-16/11
| 1/1-4/3-11/6
|-
| 15
| 0-2-10
| 1-11/10-11/7
| utonal
| 1/1-11/10-11/7
| 1/1-10/7-11/6
| 1/1-14/11-7/5
|-
| 16
| 0-3-10
| 1-8/7-11/7
| otonal
| 1/1-8/7-11/7
| 1/1-11/8-7/4
| 1/1-14/11-16/11
|-
| 17
| 0-5-10
| 1-5/4-11/7
| valinorsmic
| 1/1-5/4-11/7
| 1/1-5/4-8/5
| 1/1-14/11-8/5
|-
| 18
| 0-7-10
| 1-11/8-11/7
| utonal
| 1/1-11/8-11/7
| 1/1-8/7-16/11
| 1/1-14/11-7/4
|-
| 19
| 0-8-10
| 1-10/7-11/7
| otonal
| 1/1-10/7-11/7
| 1/1-11/10-7/5
| 1/1-14/11-11/6
|-
| 20
| 0-2-11
| 1-11/10-18/11
| otonal
| 1/1-11/10-18/11
| 1/1-3/2-11/6
| 1/1-11/9-4/3
|-
| 21
| 0-3-11
| 1-8/7-18/11
| werckismic
| 1/1-8/7-18/11
| 1/1-10/7-7/4
| 1/1-11/9-7/5
|-
| 22
| 0-4-11
| 1-6/5-18/11
| biyatismic
| 1/1-6/5-18/11
| 1/1-11/8-5/3
| 1/1-11/9-16/11
|-
| 23
| 0-7-11
| 1-11/8-18/11
| biyatismic
| 1/1-11/8-18/11
| 1/1-6/5-16/11
| 1/1-11/9-5/3
|-
| 24
| 0-8-11
| 1-10/7-18/11
| werckismic
| 1/1-10/7-18/11
| 1/1-8/7-7/5
| 1/1-11/9-7/4
|-
| 25
| 0-9-11
| 1-3/2-18/11
| utonal
| 1/1-3/2-18/11
| 1/1-11/10-4/3
| 1/1-11/9-11/6
|-
| 26
| 0-2-12
| 1-11/10-12/7
| utonal
| 1/1-11/10-12/7
| 1/1-11/7-11/6
| 1/1-7/6-14/11
|-
| 27
| 0-3-12
| 1-8/7-12/7
| otonal
| 1/1-8/7-12/7
| 1/1-3/2-7/4
| 1/1-7/6-4/3
|-
| 28
| 0-4-12
| 1-6/5-12/7
| utonal
| 1/1-6/5-12/7
| 1/1-10/7-5/3
| 1/1-7/6-7/5
|-
| 29
| 0-5-12
| 1-5/4-12/7
| keenanismic
| 1/1-5/4-12/7
| 1/1-11/8-8/5
| 1/1-7/6-16/11
|-
| 30
| 0-7-12
| 1-11/8-12/7
| keenanismic
| 1/1-11/8-12/7
| 1/1-5/4-16/11
| 1/1-7/6-8/5
|-
| 31
| 0-8-12
| 1-10/7-12/7
| otonal
| 1/1-10/7-12/7
| 1/1-6/5-7/5
| 1/1-7/6-5/3
|-
| 32
| 0-9-12
| 1-3/2-12/7
| utonal
| 1/1-3/2-12/7
| 1/1-8/7-4/3
| 1/1-7/6-7/4
|-
| 33
| 0-10-12
| 1-11/7-12/7
| otonal
| 1/1-11/7-12/7
| 1/1-11/10-14/11
| 1/1-7/6-11/6
|-
| 34
| 0-2-13
| 1-11/10-9/5
| otonal
| 1/1-11/10-9/5
| 1/1-18/11-11/6
| 1/1-10/9-11/9
|-
| 35
| 0-3-13
| 1-8/7-9/5
| werckismic
| 1/1-8/7-9/5
| 1/1-11/7-7/4
| 1/1-10/9-14/11
|-
| 36
| 0-4-13
| 1-6/5-9/5
| otonal
| 1/1-6/5-9/5
| 1/1-3/2-5/3
| 1/1-10/9-4/3
|-
| 37
| 0-5-13
| 1-5/4-9/5
| starling
| 1/1-5/4-9/5
| 1/1-10/7-8/5
| 1/1-10/9-7/5
|-
| 38
| 0-8-13
| 1-10/7-9/5
| starling
| 1/1-10/7-9/5
| 1/1-5/4-7/5
| 1/1-10/9-8/5
|-
| 39
| 0-9-13
| 1-3/2-9/5
| utonal
| 1/1-3/2-9/5
| 1/1-6/5-4/3
| 1/1-10/9-5/3
|-
| 40
| 0-10-13
| 1-11/7-9/5
| werckismic
| 1/1-11/7-9/5
| 1/1-8/7-14/11
| 1/1-10/9-7/4
|-
| 41
| 0-11-13
| 1-18/11-9/5
| utonal
| 1/1-18/11-9/5
| 1/1-11/10-11/9
| 1/1-10/9-11/6
|-
| 42
| 0-5-18
| 1-5/4-9/8
| otonal
| 1/1-9/8-5/4
| 1/1-10/9-16/9
| 1/1-8/5-9/5
|-
| 43
| 0-7-18
| 1-11/8-9/8
| otonal
| 1/1-9/8-11/8
| 1/1-11/9-16/9
| 1/1-16/11-18/11
|-
| 44
| 0-8-18
| 1-10/7-9/8
| werckismic
| 1/1-9/8-10/7
| 1/1-14/11-16/9
| 1/1-7/5-11/7
|-
| 45
| 0-9-18
| 1-3/2-9/8
| ambitonal
| 1/1-9/8-3/2
| 1/1-4/3-16/9
| 1/1-4/3-3/2
|-
| 46
| 0-10-18
| 1-11/7-9/8
| werckismic
| 1/1-9/8-11/7
| 1/1-7/5-16/9
| 1/1-14/11-10/7
|-
| 47
| 0-11-18
| 1-18/11-9/8
| utonal
| 1/1-9/8-18/11
| 1/1-16/11-16/9
| 1/1-11/9-11/8
|-
| 48
| 0-13-18
| 1-9/5-9/8
| utonal
| 1/1-9/8-9/5
| 1/1-8/5-16/9
| 1/1-10/9-5/4
|-
| 49
| 0-3-21
| 1-8/7-9/7
| otonal
| 1/1-8/7-9/7
| 1/1-9/8-7/4
| 1/1-14/9-16/9
|-
| 50
| 0-8-21
| 1-10/7-9/7
| otonal
| 1/1-9/7-10/7
| 1/1-10/9-14/9
| 1/1-7/5-9/5
|-
| 51
| 0-9-21
| 1-3/2-9/7
| utonal
| 1/1-9/7-3/2
| 1/1-7/6-14/9
| 1/1-4/3-12/7
|-
| 52
| 0-10-21
| 1-11/7-9/7
| otonal
| 1/1-9/7-11/7
| 1/1-11/9-14/9
| 1/1-14/11-18/11
|-
| 53
| 0-11-21
| 1-18/11-9/7
| utonal
| 1/1-9/7-18/11
| 1/1-14/11-14/9
| 1/1-11/9-11/7
|-
| 54
| 0-12-21
| 1-12/7-9/7
| otonal
| 1/1-9/7-12/7
| 1/1-4/3-14/9
| 1/1-7/6-3/2
|-
| 55
| 0-13-21
| 1-9/5-9/7
| utonal
| 1/1-9/7-9/5
| 1/1-7/5-14/9
| 1/1-10/9-10/7
|-
| 56
| 0-18-21
| 1-9/8-9/7
| utonal
| 1/1-9/8-9/7
| 1/1-8/7-16/9
| 1/1-14/9-7/4
|}


&lt;table class="wiki_table"&gt;
== Tetrads ==
    &lt;tr&gt;
{| class="wikitable center-1"
        &lt;td&gt;Number&lt;br /&gt;
|-
&lt;/td&gt;
! #
        &lt;td&gt;Chord&lt;br /&gt;
! Chord
&lt;/td&gt;
! Transversal
        &lt;td&gt;Transversal&lt;br /&gt;
! Type
&lt;/td&gt;
! As generated
        &lt;td&gt;Type&lt;br /&gt;
! 1st inversion
&lt;/td&gt;
! 2nd inversion
    &lt;/tr&gt;
! 3rd inversion
    &lt;tr&gt;
|-
        &lt;td&gt;1&lt;br /&gt;
| 1
&lt;/td&gt;
| 0-2-4-7
        &lt;td&gt;0-2-4-7&lt;br /&gt;
| 1-11/10-6/5-11/8
&lt;/td&gt;
| zeus
        &lt;td&gt;1-11/10-6/5-11/8&lt;br /&gt;
| 1/1-11/10-6/5-11/8
&lt;/td&gt;
| 1/1-11/10-5/4-11/6
        &lt;td&gt;zeus&lt;br /&gt;
| 1/1-8/7-5/3-11/6
&lt;/td&gt;
| 1/1-16/11-8/5-7/4
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 2
        &lt;td&gt;2&lt;br /&gt;
| 0-2-5-7
&lt;/td&gt;
| 1-11/10-5/4-11/8
        &lt;td&gt;0-2-5-7&lt;br /&gt;
| valinorsmic
&lt;/td&gt;
| 1/1-11/10-5/4-11/8
        &lt;td&gt;1-11/10-5/4-11/8&lt;br /&gt;
| 1/1-8/7-5/4-11/6
&lt;/td&gt;
| 1/1-11/10-8/5-7/4
        &lt;td&gt;valinorsmic&lt;br /&gt;
| 1/1-16/11-8/5-11/6
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 0-3-5-7
        &lt;td&gt;3&lt;br /&gt;
| 1-8/7-5/4-11/8
&lt;/td&gt;
| zeus
        &lt;td&gt;0-3-5-7&lt;br /&gt;
| 1/1-8/7-5/4-11/8
&lt;/td&gt;
| 1/1-11/10-6/5-7/4
        &lt;td&gt;1-8/7-5/4-11/8&lt;br /&gt;
| 1/1-11/10-8/5-11/6
&lt;/td&gt;
| 1/1-16/11-5/3-11/6
        &lt;td&gt;zeus&lt;br /&gt;
|-
&lt;/td&gt;
| 4
    &lt;/tr&gt;
| 0-3-5-8
    &lt;tr&gt;
| 1-8/7-5/4-10/7
        &lt;td&gt;4&lt;br /&gt;
| valinorsmic
&lt;/td&gt;
| 1/1-8/7-5/4-10/7
        &lt;td&gt;0-3-5-8&lt;br /&gt;
| 1/1-11/10-5/4-7/4
&lt;/td&gt;
| 1/1-8/7-8/5-11/6
        &lt;td&gt;1-8/7-5/4-10/7&lt;br /&gt;
| 1/1-7/5-8/5-7/4
&lt;/td&gt;
|-
        &lt;td&gt;valinorsmic&lt;br /&gt;
| 5
&lt;/td&gt;
| 0-2-4-9
    &lt;/tr&gt;
| 1-11/10-6/5-3/2
    &lt;tr&gt;
| utonal
        &lt;td&gt;5&lt;br /&gt;
| 1/1-11/10-6/5-3/2
&lt;/td&gt;
| 1/1-11/10-11/8-11/6
        &lt;td&gt;0-2-4-9&lt;br /&gt;
| 1/1-5/4-5/3-11/6
&lt;/td&gt;
| 1/1-4/3-16/11-8/5
        &lt;td&gt;1-12/11-6/5-3/2&lt;br /&gt;
|-
&lt;/td&gt;
| 6
        &lt;td&gt;utonal&lt;br /&gt;
| 0-2-5-9
&lt;/td&gt;
| 1-11/10-5/4-3/2
    &lt;/tr&gt;
| zeus
    &lt;tr&gt;
| 1/1-11/10-5/4-3/2
        &lt;td&gt;6&lt;br /&gt;
| 1/1-8/7-11/8-11/6
&lt;/td&gt;
| 1/1-6/5-8/5-7/4
        &lt;td&gt;0-2-5-9&lt;br /&gt;
| 1/1-4/3-16/11-5/3
&lt;/td&gt;
|-
        &lt;td&gt;1-11/10-5/4-3/2&lt;br /&gt;
| 7
&lt;/td&gt;
| 0-2-7-9
        &lt;td&gt;zeus&lt;br /&gt;
| 1-11/10-11/8-3/2
&lt;/td&gt;
| biyatismic
    &lt;/tr&gt;
| 1/1-11/10-11/8-3/2
    &lt;tr&gt;
| 1/1-5/4-11/8-11/6
        &lt;td&gt;7&lt;br /&gt;
| 1/1-11/10-16/11-8/5
&lt;/td&gt;
| 1/1-4/3-16/11-11/6
        &lt;td&gt;0-2-7-9&lt;br /&gt;
|-
&lt;/td&gt;
| 8
        &lt;td&gt;1-11/10-11/8-3/2&lt;br /&gt;
| 0-4-7-9
&lt;/td&gt;
| 1-6/5-11/8-3/2
        &lt;td&gt;biyatismic&lt;br /&gt;
| zeus
&lt;/td&gt;
| 1/1-6/5-11/8-3/2
    &lt;/tr&gt;
| 1/1-8/7-5/4-5/3
    &lt;tr&gt;
| 1/1-11/10-16/11-7/4
        &lt;td&gt;8&lt;br /&gt;
| 1/1-4/3-8/5-11/6
&lt;/td&gt;
|-
        &lt;td&gt;0-4-7-9&lt;br /&gt;
| 9
&lt;/td&gt;
| 0-5-7-9
        &lt;td&gt;1-6/5-11/8-3/2&lt;br /&gt;
| 1-5/4-11/8-3/2
&lt;/td&gt;
| otonal
        &lt;td&gt;zeus&lt;br /&gt;
| 1/1-5/4-11/8-3/2
&lt;/td&gt;
| 1/1-11/10-6/5-8/5
    &lt;/tr&gt;
| 1/1-11/10-16/11-11/6
    &lt;tr&gt;
| 1/1-4/3-5/3-11/6
        &lt;td&gt;9&lt;br /&gt;
|-
&lt;/td&gt;
| 10
        &lt;td&gt;0-5-7-9&lt;br /&gt;
| 0-2-5-10
&lt;/td&gt;
| 1-11/10-5/4-11/7
        &lt;td&gt;1-5/4-11/8-3/2&lt;br /&gt;
| valinorsmic
&lt;/td&gt;
| 1/1-11/10-5/4-11/7
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-8/7-10/7-11/6
&lt;/td&gt;
| 1/1-5/4-8/5-7/4
    &lt;/tr&gt;
| 1/1-14/11-7/5-8/5
    &lt;tr&gt;
|-
        &lt;td&gt;10&lt;br /&gt;
| 11
&lt;/td&gt;
| 0-3-5-10
        &lt;td&gt;0-2-5-10&lt;br /&gt;
| 1-8/7-5/4-11/7
&lt;/td&gt;
| valinorsmic
        &lt;td&gt;1-11/10-5/4-11/7&lt;br /&gt;
| 1/1-8/7-5/4-11/7
&lt;/td&gt;
| 1/1-11/10-11/8-7/4
        &lt;td&gt;valinorsmic&lt;br /&gt;
| 1/1-5/4-8/5-11/6
&lt;/td&gt;
| 1/1-14/11-16/11-8/5
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 12
        &lt;td&gt;11&lt;br /&gt;
| 0-2-7-10
&lt;/td&gt;
| 1-11/10-11/8-11/7
        &lt;td&gt;0-3-5-10&lt;br /&gt;
| utonal
&lt;/td&gt;
| 1/1-11/10-11/8-11/7
        &lt;td&gt;1-8/7-5/4-11/7&lt;br /&gt;
| 1/1-5/4-10/7-11/6
&lt;/td&gt;
| 1/1-8/7-16/11-8/5
        &lt;td&gt;valinorsmic&lt;br /&gt;
| 1/1-14/11-7/5-7/4
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 13
    &lt;tr&gt;
| 0-3-7-10
        &lt;td&gt;12&lt;br /&gt;
| 1-8/7-11/8-11/7
&lt;/td&gt;
| keenanismic
        &lt;td&gt;0-2-7-10&lt;br /&gt;
| 1/1-8/7-11/8-11/7
&lt;/td&gt;
| 1/1-6/5-11/8-7/4
        &lt;td&gt;1-11/10-11/8-11/7&lt;br /&gt;
| 1/1-8/7-16/11-5/3
&lt;/td&gt;
| 1/1-14/11-16/11-7/4
        &lt;td&gt;utonal&lt;br /&gt;
|-
&lt;/td&gt;
| 14
    &lt;/tr&gt;
| 0-5-7-10
    &lt;tr&gt;
| 1-5/4-11/8-11/7
        &lt;td&gt;13&lt;br /&gt;
| valinorsmic
&lt;/td&gt;
| 1/1-5/4-11/8-11/7
        &lt;td&gt;0-3-7-10&lt;br /&gt;
| 1/1-11/10-5/4-8/5
&lt;/td&gt;
| 1/1-8/7-16/11-11/6
        &lt;td&gt;1-8/7-11/8-11/7&lt;br /&gt;
| 1/1-14/11-8/5-7/4
&lt;/td&gt;
|-
        &lt;td&gt;keenanismic&lt;br /&gt;
| 15
&lt;/td&gt;
| 0-3-8-10
    &lt;/tr&gt;
| 1-8/7-10/7-11/7
    &lt;tr&gt;
| otonal
        &lt;td&gt;14&lt;br /&gt;
| 1/1-8/7-10/7-11/7
&lt;/td&gt;
| 1/1-5/4-11/8-7/4
        &lt;td&gt;0-5-7-10&lt;br /&gt;
| 1/1-11/10-7/5-8/5
&lt;/td&gt;
| 1/1-14/11-16/11-11/6
        &lt;td&gt;1-5/4-11/8-11/7&lt;br /&gt;
|-
&lt;/td&gt;
| 16
        &lt;td&gt;valinorsmic&lt;br /&gt;
| 0-5-8-10
&lt;/td&gt;
| 1-5/4-10/7-11/7
    &lt;/tr&gt;
| valinorsmic
    &lt;tr&gt;
| 1/1-5/4-10/7-11/7
        &lt;td&gt;15&lt;br /&gt;
| 1/1-8/7-5/4-8/5
&lt;/td&gt;
| 1/1-11/10-7/5-7/4
        &lt;td&gt;0-3-8-10&lt;br /&gt;
| 1/1-14/11-8/5-11/6
&lt;/td&gt;
|-
        &lt;td&gt;1-8/7-10/7-11/7&lt;br /&gt;
| 17
&lt;/td&gt;
| 0-2-4-11
        &lt;td&gt;otonal&lt;br /&gt;
| 1-11/10-6/5-18/11
&lt;/td&gt;
| biyatismic
    &lt;/tr&gt;
| 1/1-11/10-6/5-18/11
    &lt;tr&gt;
| 1/1-11/10-3/2-11/6
        &lt;td&gt;16&lt;br /&gt;
| 1/1-11/8-5/3-11/6
&lt;/td&gt;
| 1/1-11/9-4/3-16/11
        &lt;td&gt;0-5-8-10&lt;br /&gt;
|-
&lt;/td&gt;
| 18
        &lt;td&gt;1-5/4-10/7-11/7&lt;br /&gt;
| 0-2-7-11
&lt;/td&gt;
| 1-11/10-11/8-18/11
        &lt;td&gt;valinorsmic&lt;br /&gt;
| biyatismic
&lt;/td&gt;
| 1/1-11/10-11/8-18/11
    &lt;/tr&gt;
| 1/1-5/4-3/2-11/6
    &lt;tr&gt;
| 1/1-6/5-16/11-8/5
        &lt;td&gt;17&lt;br /&gt;
| 1/1-11/9-4/3-5/3
&lt;/td&gt;
|-
        &lt;td&gt;0-2-4-11&lt;br /&gt;
| 19
&lt;/td&gt;
| 0-3-7-11
        &lt;td&gt;1-11/10-6/5-18/11&lt;br /&gt;
| 1-8/7-11/8-18/11
&lt;/td&gt;
| valentine
        &lt;td&gt;biyatismic&lt;br /&gt;
| 1/1-8/7-11/8-18/11
&lt;/td&gt;
| 1/1-6/5-10/7-7/4
    &lt;/tr&gt;
| 1/1-6/5-16/11-5/3
    &lt;tr&gt;
| 1/1-11/9-7/5-5/3
        &lt;td&gt;18&lt;br /&gt;
|-
&lt;/td&gt;
| 20
        &lt;td&gt;0-2-7-11&lt;br /&gt;
| 0-4-7-11
&lt;/td&gt;
| 1-6/5-11/8-18/11
        &lt;td&gt;1-11/10-11/8-18/11&lt;br /&gt;
| zeus
&lt;/td&gt;
| 1/1-6/5-11/8-18/11
        &lt;td&gt;biyatismic&lt;br /&gt;
| 1/1-8/7-11/8-5/3
&lt;/td&gt;
| 1/1-6/5-16/11-7/4
    &lt;/tr&gt;
| 1/1-11/9-16/11-5/3
    &lt;tr&gt;
|-
        &lt;td&gt;19&lt;br /&gt;
| 21
&lt;/td&gt;
| 0-3-8-11
        &lt;td&gt;0-3-7-11&lt;br /&gt;
| 1-8/7-10/7-18/11
&lt;/td&gt;
| werckismic
        &lt;td&gt;1-8/7-11/8-18/11&lt;br /&gt;
| 1/1-8/7-10/7-18/11
&lt;/td&gt;
| 1/1-5/4-10/7-7/4
        &lt;td&gt;valentine&lt;br /&gt;
| 1/1-8/7-7/5-8/5
&lt;/td&gt;
| 1/1-11/9-7/5-7/4
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 22
        &lt;td&gt;20&lt;br /&gt;
| 0-4-8-11
&lt;/td&gt;
| 1-6/5-10/7-18/11
        &lt;td&gt;0-4-7-11&lt;br /&gt;
| valentine
&lt;/td&gt;
| 1/1-6/5-10/7-18/11
        &lt;td&gt;1-6/5-11/8-18/11&lt;br /&gt;
| 1/1-6/5-11/8-5/3
&lt;/td&gt;
| 1/1-8/7-7/5-5/3
        &lt;td&gt;zeus&lt;br /&gt;
| 1/1-11/9-16/11-7/4
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 23
    &lt;tr&gt;
| 0-2-9-11
        &lt;td&gt;21&lt;br /&gt;
| 1-11/10-3/2-18/11
&lt;/td&gt;
| ambitonal
        &lt;td&gt;0-3-8-11&lt;br /&gt;
| 1/1-11/10-3/2-18/11
&lt;/td&gt;
| 1/1-11/8-3/2-11/6
        &lt;td&gt;1-8/7-10/7-18/11&lt;br /&gt;
| 1/1-11/10-4/3-16/11
&lt;/td&gt;
| 1/1-11/9-4/3-11/6
        &lt;td&gt;werckismic&lt;br /&gt;
|-
&lt;/td&gt;
| 24
    &lt;/tr&gt;
| 0-4-9-11
    &lt;tr&gt;
| 1-6/5-3/2-18/11
        &lt;td&gt;22&lt;br /&gt;
| biyatismic
&lt;/td&gt;
| 1/1-6/5-3/2-18/11
        &lt;td&gt;0-4-8-11&lt;br /&gt;
| 1/1-5/4-11/8-5/3
&lt;/td&gt;
| 1/1-11/10-4/3-8/5
        &lt;td&gt;1-6/5-10/7-18/11&lt;br /&gt;
| 1/1-11/9-16/11-11/6
&lt;/td&gt;
|-
        &lt;td&gt;valentine&lt;br /&gt;
| 25
&lt;/td&gt;
| 0-7-9-11
    &lt;/tr&gt;
| 1-11/8-3/2-18/11
    &lt;tr&gt;
| biyatismic
        &lt;td&gt;23&lt;br /&gt;
| 1/1-11/8-3/2-18/11
&lt;/td&gt;
| 1/1-11/10-6/5-16/11
        &lt;td&gt;0-2-9-11&lt;br /&gt;
| 1/1-11/10-4/3-11/6
&lt;/td&gt;
| 1/1-11/9-5/3-11/6
        &lt;td&gt;1-12/11-3/2-18/11&lt;br /&gt;
|-
&lt;/td&gt;
| 26
        &lt;td&gt;ambitonal&lt;br /&gt;
| 0-2-4-12
&lt;/td&gt;
| 1-11/10-6/5-12/7
    &lt;/tr&gt;
| utonal
    &lt;tr&gt;
| 1/1-11/10-6/5-12/7
        &lt;td&gt;24&lt;br /&gt;
| 1/1-11/10-11/7-11/6
&lt;/td&gt;
| 1/1-10/7-5/3-11/6
        &lt;td&gt;0-4-9-11&lt;br /&gt;
| 1/1-7/6-14/11-7/5
&lt;/td&gt;
|-
        &lt;td&gt;1-6/5-3/2-18/11&lt;br /&gt;
| 27
&lt;/td&gt;
| 0-2-5-12
        &lt;td&gt;biyatismic&lt;br /&gt;
| 1-11/10-5/4-12/7
&lt;/td&gt;
| zeus
    &lt;/tr&gt;
| 1/1-11/10-5/4-12/7
    &lt;tr&gt;
| 1/1-8/7-11/7-11/6
        &lt;td&gt;25&lt;br /&gt;
| 1/1-11/8-8/5-7/4
&lt;/td&gt;
| 1/1-7/6-14/11-16/11
        &lt;td&gt;0-7-9-11&lt;br /&gt;
|-
&lt;/td&gt;
| 28
        &lt;td&gt;1-11/8-3/2-18/11&lt;br /&gt;
| 0-3-5-12
&lt;/td&gt;
| 1-8/7-5/4-12/7
        &lt;td&gt;biyatismic&lt;br /&gt;
| zeus
&lt;/td&gt;
| 1/1-8/7-5/4-12/7
    &lt;/tr&gt;
| 1/1-11/10-3/2-7/4
    &lt;tr&gt;
| 1/1-11/8-8/5-11/6
        &lt;td&gt;26&lt;br /&gt;
| 1/1-7/6-4/3-16/11
&lt;/td&gt;
|-
        &lt;td&gt;0-2-4-12&lt;br /&gt;
| 29
&lt;/td&gt;
| 0-2-7-12
        &lt;td&gt;1-12/11-6/5-12/7&lt;br /&gt;
| 1-11/10-11/8-12/7
&lt;/td&gt;
| zeus
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-11/10-11/8-12/7
&lt;/td&gt;
| 1/1-5/4-11/7-11/6
    &lt;/tr&gt;
| 1/1-5/4-16/11-8/5
    &lt;tr&gt;
| 1/1-7/6-14/11-8/5
        &lt;td&gt;27&lt;br /&gt;
|-
&lt;/td&gt;
| 30
        &lt;td&gt;0-2-5-12&lt;br /&gt;
| 0-3-7-12
&lt;/td&gt;
| 1-8/7-11/8-12/7
        &lt;td&gt;1-11/10-5/4-12/7&lt;br /&gt;
| keenanismic
&lt;/td&gt;
| 1/1-8/7-11/8-12/7
        &lt;td&gt;zeus&lt;br /&gt;
| 1/1-6/5-3/2-7/4
&lt;/td&gt;
| 1/1-5/4-16/11-5/3
    &lt;/tr&gt;
| 1/1-7/6-4/3-8/5
    &lt;tr&gt;
|-
        &lt;td&gt;28&lt;br /&gt;
| 31
&lt;/td&gt;
| 0-4-7-12
        &lt;td&gt;0-3-5-12&lt;br /&gt;
| 1-6/5-11/8-12/7
&lt;/td&gt;
| keenanismic
        &lt;td&gt;1-8/7-5/4-12/7&lt;br /&gt;
| 1/1-6/5-11/8-12/7
&lt;/td&gt;
| 1/1-8/7-10/7-5/3
        &lt;td&gt;zeus&lt;br /&gt;
| 1/1-5/4-16/11-7/4
&lt;/td&gt;
| 1/1-7/6-7/5-8/5
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 32
        &lt;td&gt;29&lt;br /&gt;
| 0-5-7-12
&lt;/td&gt;
| 1-5/4-11/8-12/7
        &lt;td&gt;0-2-7-12&lt;br /&gt;
| keenanismic
&lt;/td&gt;
| 1/1-5/4-11/8-12/7
        &lt;td&gt;1-11/10-11/8-12/7&lt;br /&gt;
| 1/1-11/10-11/8-8/5
&lt;/td&gt;
| 1/1-5/4-16/11-11/6
        &lt;td&gt;zeus&lt;br /&gt;
| 1/1-7/6-16/11-8/5
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 33
    &lt;tr&gt;
| 0-3-8-12
        &lt;td&gt;30&lt;br /&gt;
| 1-8/7-10/7-12/7
&lt;/td&gt;
| otonal
        &lt;td&gt;0-3-7-12&lt;br /&gt;
| 1/1-8/7-10/7-12/7
&lt;/td&gt;
| 1/1-5/4-3/2-7/4
        &lt;td&gt;1-8/7-11/8-12/7&lt;br /&gt;
| 1/1-6/5-7/5-8/5
&lt;/td&gt;
| 1/1-7/6-4/3-5/3
        &lt;td&gt;keenanismic&lt;br /&gt;
|-
&lt;/td&gt;
| 34
    &lt;/tr&gt;
| 0-4-8-12
    &lt;tr&gt;
| 1-6/5-10/7-12/7
        &lt;td&gt;31&lt;br /&gt;
| starling
&lt;/td&gt;
| 1/1-6/5-10/7-12/7
        &lt;td&gt;0-4-7-12&lt;br /&gt;
| 1/1-6/5-10/7-5/3
&lt;/td&gt;
| 1/1-6/5-7/5-5/3
        &lt;td&gt;1-6/5-11/8-12/7&lt;br /&gt;
| 1/1-7/6-7/5-5/3
&lt;/td&gt;
|-
        &lt;td&gt;keenanismic&lt;br /&gt;
| 35
&lt;/td&gt;
| 0-5-8-12
    &lt;/tr&gt;
| 1-5/4-10/7-12/7
    &lt;tr&gt;
| keenanismic
        &lt;td&gt;32&lt;br /&gt;
| 1/1-5/4-10/7-12/7
&lt;/td&gt;
| 1/1-8/7-11/8-8/5
        &lt;td&gt;0-5-7-12&lt;br /&gt;
| 1/1-6/5-7/5-7/4
&lt;/td&gt;
| 1/1-7/6-16/11-5/3
        &lt;td&gt;1-5/4-11/8-12/7&lt;br /&gt;
|-
&lt;/td&gt;
| 36
        &lt;td&gt;keenanismic&lt;br /&gt;
| 0-2-9-12
&lt;/td&gt;
| 1-11/10-3/2-12/7
    &lt;/tr&gt;
| utonal
    &lt;tr&gt;
| 1/1-11/10-3/2-12/7
        &lt;td&gt;33&lt;br /&gt;
| 1/1-11/8-11/7-11/6
&lt;/td&gt;
| 1/1-8/7-4/3-16/11
        &lt;td&gt;0-3-8-12&lt;br /&gt;
| 1/1-7/6-14/11-7/4
&lt;/td&gt;
|-
        &lt;td&gt;1-8/7-10/7-12/7&lt;br /&gt;
| 37
&lt;/td&gt;
| 0-4-9-12
        &lt;td&gt;otonal&lt;br /&gt;
| 1-6/5-3/2-12/7
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 1/1-6/5-3/2-12/7
    &lt;tr&gt;
| 1/1-5/4-10/7-5/3
        &lt;td&gt;34&lt;br /&gt;
| 1/1-8/7-4/3-8/5
&lt;/td&gt;
| 1/1-7/6-7/5-7/4
        &lt;td&gt;0-4-8-12&lt;br /&gt;
|-
&lt;/td&gt;
| 38
        &lt;td&gt;1-6/5-10/7-12/7&lt;br /&gt;
| 0-5-9-12
&lt;/td&gt;
| 1-5/4-3/2-12/7
        &lt;td&gt;starling&lt;br /&gt;
| keenanismic
&lt;/td&gt;
| 1/1-5/4-3/2-12/7
    &lt;/tr&gt;
| 1/1-6/5-11/8-8/5
    &lt;tr&gt;
| 1/1-8/7-4/3-5/3
        &lt;td&gt;35&lt;br /&gt;
| 1/1-7/6-16/11-7/4
&lt;/td&gt;
|-
        &lt;td&gt;0-5-8-12&lt;br /&gt;
| 39
&lt;/td&gt;
| 0-7-9-12
        &lt;td&gt;1-5/4-10/7-12/7&lt;br /&gt;
| 1-11/8-3/2-12/7
&lt;/td&gt;
| zeus
        &lt;td&gt;keenanismic&lt;br /&gt;
| 1/1-11/8-3/2-12/7
&lt;/td&gt;
| 1/1-11/10-5/4-16/11
    &lt;/tr&gt;
| 1/1-8/7-4/3-11/6
    &lt;tr&gt;
| 1/1-7/6-8/5-7/4
        &lt;td&gt;36&lt;br /&gt;
|-
&lt;/td&gt;
| 40
        &lt;td&gt;0-2-9-12&lt;br /&gt;
| 0-2-10-12
&lt;/td&gt;
| 1-11/10-11/7-12/7
        &lt;td&gt;1-12/11-3/2-12/7&lt;br /&gt;
| biyatismic
&lt;/td&gt;
| 1/1-11/10-11/7-12/7
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-10/7-11/7-11/6
&lt;/td&gt;
| 1/1-11/10-14/11-7/5
    &lt;/tr&gt;
| 1/1-7/6-14/11-11/6
    &lt;tr&gt;
|-
        &lt;td&gt;37&lt;br /&gt;
| 41
&lt;/td&gt;
| 0-3-10-12
        &lt;td&gt;0-4-9-12&lt;br /&gt;
| 1-8/7-11/7-12/7
&lt;/td&gt;
| otonal
        &lt;td&gt;1-6/5-3/2-12/7&lt;br /&gt;
| 1/1-8/7-11/7-12/7
&lt;/td&gt;
| 1/1-11/8-3/2-7/4
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-11/10-14/11-16/11
&lt;/td&gt;
| 1/1-7/6-4/3-11/6
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 42
        &lt;td&gt;38&lt;br /&gt;
| 0-5-10-12
&lt;/td&gt;
| 1-5/4-11/7-12/7
        &lt;td&gt;0-5-9-12&lt;br /&gt;
| zeus
&lt;/td&gt;
| 1/1-5/4-11/7-12/7
        &lt;td&gt;1-5/4-3/2-12/7&lt;br /&gt;
| 1/1-5/4-11/8-8/5
&lt;/td&gt;
| 1/1-11/10-14/11-8/5
        &lt;td&gt;keenanismic&lt;br /&gt;
| 1/1-7/6-16/11-11/6
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 43
    &lt;tr&gt;
| 0-7-10-12
        &lt;td&gt;39&lt;br /&gt;
| 1-11/8-11/7-12/7
&lt;/td&gt;
| zeus
        &lt;td&gt;0-7-9-12&lt;br /&gt;
| 1/1-11/8-11/7-12/7
&lt;/td&gt;
| 1/1-8/7-5/4-16/11
        &lt;td&gt;1-11/8-3/2-12/7&lt;br /&gt;
| 1/1-11/10-14/11-7/4
&lt;/td&gt;
| 1/1-7/6-8/5-11/6
        &lt;td&gt;zeus&lt;br /&gt;
|-
&lt;/td&gt;
| 44
    &lt;/tr&gt;
| 0-8-10-12
    &lt;tr&gt;
| 1-10/7-11/7-12/7
        &lt;td&gt;40&lt;br /&gt;
| otonal
&lt;/td&gt;
| 1/1-10/7-11/7-12/7
        &lt;td&gt;0-2-10-12&lt;br /&gt;
| 1/1-11/10-6/5-7/5
&lt;/td&gt;
| 1/1-11/10-14/11-11/6
        &lt;td&gt;1-11/10-11/7-12/7&lt;br /&gt;
| 1/1-7/6-5/3-11/6
&lt;/td&gt;
|-
        &lt;td&gt;biyatismic&lt;br /&gt;
| 45
&lt;/td&gt;
| 0-2-4-13
    &lt;/tr&gt;
| 1-11/10-6/5-9/5
    &lt;tr&gt;
| otonal
        &lt;td&gt;41&lt;br /&gt;
| 1/1-11/10-6/5-9/5
&lt;/td&gt;
| 1/1-11/10-18/11-11/6
        &lt;td&gt;0-3-10-12&lt;br /&gt;
| 1/1-3/2-5/3-11/6
&lt;/td&gt;
| 1/1-10/9-11/9-4/3
        &lt;td&gt;1-8/7-11/7-12/7&lt;br /&gt;
|-
&lt;/td&gt;
| 46
        &lt;td&gt;otonal&lt;br /&gt;
| 0-2-5-13
&lt;/td&gt;
| 1-11/10-5/4-9/5
    &lt;/tr&gt;
| thrush
    &lt;tr&gt;
| 1/1-11/10-5/4-9/5
        &lt;td&gt;42&lt;br /&gt;
| 1/1-8/7-18/11-11/6
&lt;/td&gt;
| 1/1-10/7-8/5-7/4
        &lt;td&gt;0-5-10-12&lt;br /&gt;
| 1/1-10/9-11/9-7/5
&lt;/td&gt;
|-
        &lt;td&gt;1-5/4-11/7-12/7&lt;br /&gt;
| 47
&lt;/td&gt;
| 0-3-5-13
        &lt;td&gt;zeus&lt;br /&gt;
| 1-8/7-5/4-9/5
&lt;/td&gt;
| thrush
    &lt;/tr&gt;
| 1/1-8/7-5/4-9/5
    &lt;tr&gt;
| 1/1-11/10-11/7-7/4
        &lt;td&gt;43&lt;br /&gt;
| 1/1-10/7-8/5-11/6
&lt;/td&gt;
| 1/1-10/9-14/11-7/5
        &lt;td&gt;0-7-10-12&lt;br /&gt;
|-
&lt;/td&gt;
| 48
        &lt;td&gt;1-11/8-11/7-12/7&lt;br /&gt;
| 0-3-8-13
&lt;/td&gt;
| 1-8/7-10/7-9/5
        &lt;td&gt;zeus&lt;br /&gt;
| thrush
&lt;/td&gt;
| 1/1-8/7-10/7-9/5
    &lt;/tr&gt;
| 1/1-5/4-11/7-7/4
    &lt;tr&gt;
| 1/1-5/4-7/5-8/5
        &lt;td&gt;44&lt;br /&gt;
| 1/1-10/9-14/11-8/5
&lt;/td&gt;
|-
        &lt;td&gt;0-8-10-12&lt;br /&gt;
| 49
&lt;/td&gt;
| 0-4-8-13
        &lt;td&gt;1-10/7-11/7-12/7&lt;br /&gt;
| 1-6/5-10/7-9/5
&lt;/td&gt;
| starling
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-6/5-10/7-9/5
&lt;/td&gt;
| 1/1-6/5-3/2-5/3
    &lt;/tr&gt;
| 1/1-5/4-7/5-5/3
    &lt;tr&gt;
| 1/1-10/9-4/3-8/5
        &lt;td&gt;45&lt;br /&gt;
|-
&lt;/td&gt;
| 50
        &lt;td&gt;0-2-4-13&lt;br /&gt;
| 0-5-8-13
&lt;/td&gt;
| 1-5/4-10/7-9/5
        &lt;td&gt;1-11/10-6/5-9/5&lt;br /&gt;
| starling
&lt;/td&gt;
| 1/1-5/4-10/7-9/5
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-8/7-10/7-8/5
&lt;/td&gt;
| 1/1-5/4-7/5-7/4
    &lt;/tr&gt;
| 1/1-10/9-7/5-8/5
    &lt;tr&gt;
|-
        &lt;td&gt;46&lt;br /&gt;
| 51
&lt;/td&gt;
| 0-2-9-13
        &lt;td&gt;0-2-5-13&lt;br /&gt;
| 1-11/10-3/2-9/5
&lt;/td&gt;
| biyatismic
        &lt;td&gt;1-11/10-5/4-9/5&lt;br /&gt;
| 1/1-11/10-3/2-9/5
&lt;/td&gt;
| 1/1-11/8-18/11-11/6
        &lt;td&gt;thrush&lt;br /&gt;
| 1/1-6/5-4/3-16/11
&lt;/td&gt;
| 1/1-10/9-11/9-5/3
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 52
        &lt;td&gt;47&lt;br /&gt;
| 0-4-9-13
&lt;/td&gt;
| 1-6/5-3/2-9/5
        &lt;td&gt;0-3-5-13&lt;br /&gt;
| ambitonal
&lt;/td&gt;
| 1/1-6/5-3/2-9/5
        &lt;td&gt;1-8/7-5/4-9/5&lt;br /&gt;
| 1/1-5/4-3/2-5/3
&lt;/td&gt;
| 1/1-6/5-4/3-8/5
        &lt;td&gt;thrush&lt;br /&gt;
| 1/1-10/9-4/3-5/3
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 53
    &lt;tr&gt;
| 0-5-9-13
        &lt;td&gt;48&lt;br /&gt;
| 1-5/4-3/2-9/5
&lt;/td&gt;
| starling
        &lt;td&gt;0-3-8-13&lt;br /&gt;
| 1/1-5/4-3/2-9/5
&lt;/td&gt;
| 1/1-6/5-10/7-8/5
        &lt;td&gt;1-8/7-10/7-9/5&lt;br /&gt;
| 1/1-6/5-4/3-5/3
&lt;/td&gt;
| 1/1-10/9-7/5-5/3
        &lt;td&gt;thrush&lt;br /&gt;
|-
&lt;/td&gt;
| 54
    &lt;/tr&gt;
| 0-2-10-13
    &lt;tr&gt;
| 1-11/10-11/7-9/5
        &lt;td&gt;49&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 1/1-11/10-11/7-9/5
        &lt;td&gt;0-4-8-13&lt;br /&gt;
| 1/1-10/7-18/11-11/6
&lt;/td&gt;
| 1/1-8/7-14/11-7/5
        &lt;td&gt;1-6/5-10/7-9/5&lt;br /&gt;
| 1/1-10/9-11/9-7/4
&lt;/td&gt;
|-
        &lt;td&gt;starling&lt;br /&gt;
| 55
&lt;/td&gt;
| 0-3-10-13
    &lt;/tr&gt;
| 1-8/7-11/7-9/5
    &lt;tr&gt;
| werckismic
        &lt;td&gt;50&lt;br /&gt;
| 1/1-8/7-11/7-9/5
&lt;/td&gt;
| 1/1-11/8-11/7-7/4
        &lt;td&gt;0-5-8-13&lt;br /&gt;
| 1/1-8/7-14/11-16/11
&lt;/td&gt;
| 1/1-10/9-14/11-7/4
        &lt;td&gt;1-5/4-10/7-9/5&lt;br /&gt;
|-
&lt;/td&gt;
| 56
        &lt;td&gt;starling&lt;br /&gt;
| 0-5-10-13
&lt;/td&gt;
| 1-5/4-11/7-9/5
    &lt;/tr&gt;
| thrush
    &lt;tr&gt;
| 1/1-5/4-11/7-9/5
        &lt;td&gt;51&lt;br /&gt;
| 1/1-5/4-10/7-8/5
&lt;/td&gt;
| 1/1-8/7-14/11-8/5
        &lt;td&gt;0-2-9-13&lt;br /&gt;
| 1/1-10/9-7/5-7/4
&lt;/td&gt;
|-
        &lt;td&gt;1-11/10-3/2-9/5&lt;br /&gt;
| 57
&lt;/td&gt;
| 0-8-10-13
        &lt;td&gt;biyatismic&lt;br /&gt;
| 1-10/7-11/7-9/5
&lt;/td&gt;
| thrush
    &lt;/tr&gt;
| 1/1-10/7-11/7-9/5
    &lt;tr&gt;
| 1/1-11/10-5/4-7/5
        &lt;td&gt;52&lt;br /&gt;
| 1/1-8/7-14/11-11/6
&lt;/td&gt;
| 1/1-10/9-8/5-7/4
        &lt;td&gt;0-4-9-13&lt;br /&gt;
|-
&lt;/td&gt;
| 58
        &lt;td&gt;1-6/5-3/2-9/5&lt;br /&gt;
| 0-2-11-13
&lt;/td&gt;
| 1-11/10-18/11-9/5
        &lt;td&gt;ambitonal&lt;br /&gt;
| biyatismic
&lt;/td&gt;
| 1/1-11/10-18/11-9/5
    &lt;/tr&gt;
| 1/1-3/2-18/11-11/6
    &lt;tr&gt;
| 1/1-11/10-11/9-4/3
        &lt;td&gt;53&lt;br /&gt;
| 1/1-10/9-11/9-11/6
&lt;/td&gt;
|-
        &lt;td&gt;0-5-9-13&lt;br /&gt;
| 59
&lt;/td&gt;
| 0-3-11-13
        &lt;td&gt;1-5/4-3/2-9/5&lt;br /&gt;
| 1-8/7-18/11-9/5
&lt;/td&gt;
| werckismic
        &lt;td&gt;starling&lt;br /&gt;
| 1/1-8/7-18/11-9/5
&lt;/td&gt;
| 1/1-10/7-11/7-7/4
    &lt;/tr&gt;
| 1/1-11/10-11/9-7/5
    &lt;tr&gt;
| 1/1-10/9-14/11-11/6
        &lt;td&gt;54&lt;br /&gt;
|-
&lt;/td&gt;
| 60
        &lt;td&gt;0-2-10-13&lt;br /&gt;
| 0-4-11-13
&lt;/td&gt;
| 1-6/5-18/11-9/5
        &lt;td&gt;1-11/10-11/7-9/5&lt;br /&gt;
| biyatismic
&lt;/td&gt;
| 1/1-6/5-18/11-9/5
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-11/8-3/2-5/3
&lt;/td&gt;
| 1/1-11/10-11/9-16/11
    &lt;/tr&gt;
| 1/1-10/9-4/3-11/6
    &lt;tr&gt;
|-
        &lt;td&gt;55&lt;br /&gt;
| 61
&lt;/td&gt;
| 0-8-11-13
        &lt;td&gt;0-3-10-13&lt;br /&gt;
| 1-10/7-18/11-9/5
&lt;/td&gt;
| thrush
        &lt;td&gt;1-8/7-11/7-9/5&lt;br /&gt;
| 1/1-10/7-18/11-9/5
&lt;/td&gt;
| 1/1-8/7-5/4-7/5
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-11/10-11/9-7/4
&lt;/td&gt;
| 1/1-10/9-8/5-11/6
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 62
        &lt;td&gt;56&lt;br /&gt;
| 0-9-11-13
&lt;/td&gt;
| 1-3/2-18/11-9/5
        &lt;td&gt;0-5-10-13&lt;br /&gt;
| utonal
&lt;/td&gt;
| 1/1-3/2-18/11-9/5
        &lt;td&gt;1-5/4-11/7-9/5&lt;br /&gt;
| 1/1-11/10-6/5-4/3
&lt;/td&gt;
| 1/1-11/10-11/9-11/6
        &lt;td&gt;thrush&lt;br /&gt;
| 1/1-10/9-5/3-11/6
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 63
    &lt;tr&gt;
| 0-5-7-18
        &lt;td&gt;57&lt;br /&gt;
| 1-5/4-11/8-9/8
&lt;/td&gt;
| otonal
        &lt;td&gt;0-8-10-13&lt;br /&gt;
| 1/1-9/8-5/4-11/8
&lt;/td&gt;
| 1/1-10/9-11/9-16/9
        &lt;td&gt;1-10/7-11/7-9/5&lt;br /&gt;
| 1/1-11/10-8/5-9/5
&lt;/td&gt;
| 1/1-16/11-18/11-11/6
        &lt;td&gt;thrush&lt;br /&gt;
|-
&lt;/td&gt;
| 64
    &lt;/tr&gt;
| 0-5-8-18
    &lt;tr&gt;
| 1-5/4-10/7-9/8
        &lt;td&gt;58&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 1/1-9/8-5/4-10/7
        &lt;td&gt;0-2-11-13&lt;br /&gt;
| 1/1-10/9-14/11-16/9
&lt;/td&gt;
| 1/1-8/7-8/5-9/5
        &lt;td&gt;1-11/10-18/11-9/5&lt;br /&gt;
| 1/1-7/5-11/7-7/4
&lt;/td&gt;
|-
        &lt;td&gt;biyatismic&lt;br /&gt;
| 65
&lt;/td&gt;
| 0-5-9-18
    &lt;/tr&gt;
| 1-5/4-3/2-9/8
    &lt;tr&gt;
| otonal
        &lt;td&gt;59&lt;br /&gt;
| 1/1-9/8-5/4-3/2
&lt;/td&gt;
| 1/1-10/9-4/3-16/9
        &lt;td&gt;0-3-11-13&lt;br /&gt;
| 1/1-6/5-8/5-9/5
&lt;/td&gt;
| 1/1-4/3-3/2-5/3
        &lt;td&gt;1-8/7-18/11-9/5&lt;br /&gt;
|-
&lt;/td&gt;
| 66
        &lt;td&gt;werckismic&lt;br /&gt;
| 0-7-9-18
&lt;/td&gt;
| 1-11/8-3/2-9/8
    &lt;/tr&gt;
| otonal
    &lt;tr&gt;
| 1/1-9/8-11/8-3/2
        &lt;td&gt;60&lt;br /&gt;
| 1/1-11/9-4/3-16/9
&lt;/td&gt;
| 1/1-11/10-16/11-18/11
        &lt;td&gt;0-4-11-13&lt;br /&gt;
| 1/1-4/3-3/2-11/6
&lt;/td&gt;
|-
        &lt;td&gt;1-6/5-18/11-9/5&lt;br /&gt;
| 67
&lt;/td&gt;
| 0-5-10-18
        &lt;td&gt;biyatismic&lt;br /&gt;
| 1-5/4-11/7-9/8
&lt;/td&gt;
| thrush
    &lt;/tr&gt;
| 1/1-9/8-5/4-11/7
    &lt;tr&gt;
| 1/1-10/9-7/5-16/9
        &lt;td&gt;61&lt;br /&gt;
| 1/1-5/4-8/5-9/5
&lt;/td&gt;
| 1/1-14/11-10/7-8/5
        &lt;td&gt;0-8-11-13&lt;br /&gt;
|-
&lt;/td&gt;
| 68
        &lt;td&gt;1-10/7-18/11-9/5&lt;br /&gt;
| 0-7-10-18
&lt;/td&gt;
| 1-11/8-11/7-9/8
        &lt;td&gt;thrush&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 1/1-9/8-11/8-11/7
    &lt;/tr&gt;
| 1/1-11/9-7/5-16/9
    &lt;tr&gt;
| 1/1-8/7-16/11-18/11
        &lt;td&gt;62&lt;br /&gt;
| 1/1-14/11-10/7-7/4
&lt;/td&gt;
|-
        &lt;td&gt;0-9-11-13&lt;br /&gt;
| 69
&lt;/td&gt;
| 0-8-10-18
        &lt;td&gt;1-3/2-18/11-9/5&lt;br /&gt;
| 1-10/7-11/7-9/8
&lt;/td&gt;
| werckismic
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-9/8-10/7-11/7
&lt;/td&gt;
| 1/1-14/11-7/5-16/9
    &lt;/tr&gt;
| 1/1-11/10-7/5-11/7
    &lt;tr&gt;
| 1/1-14/11-10/7-11/6
        &lt;td&gt;63&lt;br /&gt;
|-
&lt;/td&gt;
| 70
        &lt;td&gt;0-5-7-18&lt;br /&gt;
| 0-7-11-18
&lt;/td&gt;
| 1-11/8-18/11-9/8
        &lt;td&gt;1-5/4-11/8-9/8&lt;br /&gt;
| biyatismic
&lt;/td&gt;
| 1/1-9/8-11/8-18/11
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-11/9-16/11-16/9
&lt;/td&gt;
| 1/1-6/5-16/11-18/11
    &lt;/tr&gt;
| 1/1-11/9-11/8-5/3
    &lt;tr&gt;
|-
        &lt;td&gt;64&lt;br /&gt;
| 71
&lt;/td&gt;
| 0-8-11-18
        &lt;td&gt;0-5-8-18&lt;br /&gt;
| 1-10/7-18/11-9/8
&lt;/td&gt;
| werckismic
        &lt;td&gt;1-5/4-10/7-9/8&lt;br /&gt;
| 1/1-9/8-10/7-18/11
&lt;/td&gt;
| 1/1-14/11-16/11-16/9
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-8/7-7/5-11/7
&lt;/td&gt;
| 1/1-11/9-11/8-7/4
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 72
        &lt;td&gt;65&lt;br /&gt;
| 0-9-11-18
&lt;/td&gt;
| 1-3/2-18/11-9/8
        &lt;td&gt;0-5-9-18&lt;br /&gt;
| utonal
&lt;/td&gt;
| 1/1-9/8-3/2-18/11
        &lt;td&gt;1-5/4-3/2-9/8&lt;br /&gt;
| 1/1-4/3-16/11-16/9
&lt;/td&gt;
| 1/1-11/10-4/3-3/2
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-11/9-11/8-11/6
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 73
    &lt;tr&gt;
| 0-5-13-18
        &lt;td&gt;66&lt;br /&gt;
| 1-5/4-9/5-9/8
&lt;/td&gt;
| starling
        &lt;td&gt;0-7-9-18&lt;br /&gt;
| 1/1-9/8-5/4-9/5
&lt;/td&gt;
| 1/1-10/9-8/5-16/9
        &lt;td&gt;1-11/8-3/2-9/8&lt;br /&gt;
| 1/1-10/7-8/5-9/5
&lt;/td&gt;
| 1/1-10/9-5/4-25/18
        &lt;td&gt;otonal&lt;br /&gt;
|-
&lt;/td&gt;
| 74
    &lt;/tr&gt;
| 0-8-13-18
    &lt;tr&gt;
| 1-10/7-9/5-9/8
        &lt;td&gt;67&lt;br /&gt;
| thrush
&lt;/td&gt;
| 1/1-9/8-10/7-9/5
        &lt;td&gt;0-5-10-18&lt;br /&gt;
| 1/1-14/11-8/5-16/9
&lt;/td&gt;
| 1/1-5/4-7/5-11/7
        &lt;td&gt;1-5/4-11/7-9/8&lt;br /&gt;
| 1/1-10/9-5/4-8/5
&lt;/td&gt;
|-
        &lt;td&gt;thrush&lt;br /&gt;
| 75
&lt;/td&gt;
| 0-9-13-18
    &lt;/tr&gt;
| 1-3/2-9/5-9/8
    &lt;tr&gt;
| utonal
        &lt;td&gt;68&lt;br /&gt;
| 1/1-9/8-3/2-9/5
&lt;/td&gt;
| 1/1-4/3-8/5-16/9
        &lt;td&gt;0-7-10-18&lt;br /&gt;
| 1/1-6/5-4/3-3/2
&lt;/td&gt;
| 1/1-10/9-5/4-5/3
        &lt;td&gt;1-11/8-11/7-9/8&lt;br /&gt;
|-
&lt;/td&gt;
| 76
        &lt;td&gt;werckismic&lt;br /&gt;
| 0-10-13-18
&lt;/td&gt;
| 1-11/7-9/5-9/8
    &lt;/tr&gt;
| werckismic
    &lt;tr&gt;
| 1/1-9/8-11/7-9/5
        &lt;td&gt;69&lt;br /&gt;
| 1/1-7/5-8/5-16/9
&lt;/td&gt;
| 1/1-8/7-14/11-10/7
        &lt;td&gt;0-8-10-18&lt;br /&gt;
| 1/1-10/9-5/4-7/4
&lt;/td&gt;
|-
        &lt;td&gt;1-10/7-11/7-9/8&lt;br /&gt;
| 77
&lt;/td&gt;
| 0-11-13-18
        &lt;td&gt;werckismic&lt;br /&gt;
| 1-18/11-9/5-9/8
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 1/1-9/8-18/11-9/5
    &lt;tr&gt;
| 1/1-16/11-8/5-16/9
        &lt;td&gt;70&lt;br /&gt;
| 1/1-11/10-11/9-11/8
&lt;/td&gt;
| 1/1-10/9-5/4-11/6
        &lt;td&gt;0-7-11-18&lt;br /&gt;
|-
&lt;/td&gt;
| 78
        &lt;td&gt;1-11/8-18/11-9/8&lt;br /&gt;
| 0-3-8-21
&lt;/td&gt;
| 1-8/7-10/7-9/7
        &lt;td&gt;biyatismic&lt;br /&gt;
| otonal
&lt;/td&gt;
| 1/1-8/7-9/7-10/7
    &lt;/tr&gt;
| 1/1-9/8-5/4-7/4
    &lt;tr&gt;
| 1/1-10/9-14/9-16/9
        &lt;td&gt;71&lt;br /&gt;
| 1/1-7/5-8/5-9/5
&lt;/td&gt;
|-
        &lt;td&gt;0-8-11-18&lt;br /&gt;
| 79
&lt;/td&gt;
| 0-3-10-21
        &lt;td&gt;1-10/7-18/11-9/8&lt;br /&gt;
| 1-8/7-11/7-9/7
&lt;/td&gt;
| otonal
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-8/7-9/7-11/7
&lt;/td&gt;
| 1/1-9/8-11/8-7/4
    &lt;/tr&gt;
| 1/1-11/9-14/9-16/9
    &lt;tr&gt;
| 1/1-14/11-16/11-18/11
        &lt;td&gt;72&lt;br /&gt;
|-
&lt;/td&gt;
| 80
        &lt;td&gt;0-9-11-18&lt;br /&gt;
| 0-8-10-21
&lt;/td&gt;
| 1-10/7-11/7-9/7
        &lt;td&gt;1-3/2-18/11-9/8&lt;br /&gt;
| otonal
&lt;/td&gt;
| 1/1-9/7-10/7-11/7
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-10/9-11/9-14/9
&lt;/td&gt;
| 1/1-11/10-7/5-9/5
    &lt;/tr&gt;
| 1/1-14/11-18/11-11/6
    &lt;tr&gt;
|-
        &lt;td&gt;73&lt;br /&gt;
| 81
&lt;/td&gt;
| 0-3-11-21
        &lt;td&gt;0-5-13-18&lt;br /&gt;
| 1-8/7-18/11-9/7
&lt;/td&gt;
| werckismic
        &lt;td&gt;1-5/4-9/5-9/8&lt;br /&gt;
| 1/1-8/7-9/7-18/11
&lt;/td&gt;
| 1/1-9/8-10/7-7/4
        &lt;td&gt;starling&lt;br /&gt;
| 1/1-14/11-14/9-16/9
&lt;/td&gt;
| 1/1-11/9-7/5-11/7
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 82
        &lt;td&gt;74&lt;br /&gt;
| 0-8-11-21
&lt;/td&gt;
| 1-10/7-18/11-9/7
        &lt;td&gt;0-8-13-18&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 1/1-9/7-10/7-18/11
        &lt;td&gt;1-10/7-9/5-9/8&lt;br /&gt;
| 1/1-10/9-14/11-14/9
&lt;/td&gt;
| 1/1-8/7-7/5-9/5
        &lt;td&gt;thrush&lt;br /&gt;
| 1/1-11/9-11/7-7/4
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 83
    &lt;tr&gt;
| 0-9-11-21
        &lt;td&gt;75&lt;br /&gt;
| 1-3/2-18/11-9/7
&lt;/td&gt;
| utonal
        &lt;td&gt;0-9-13-18&lt;br /&gt;
| 1/1-9/7-3/2-18/11
&lt;/td&gt;
| 1/1-7/6-14/11-14/9
        &lt;td&gt;1-3/2-9/5-9/8&lt;br /&gt;
| 1/1-11/10-4/3-12/7
&lt;/td&gt;
| 1/1-11/9-11/7-11/6
        &lt;td&gt;utonal&lt;br /&gt;
|-
&lt;/td&gt;
| 84
    &lt;/tr&gt;
| 0-3-12-21
    &lt;tr&gt;
| 1-8/7-12/7-9/7
        &lt;td&gt;76&lt;br /&gt;
| otonal
&lt;/td&gt;
| 1/1-8/7-9/7-12/7
        &lt;td&gt;0-10-13-18&lt;br /&gt;
| 1/1-9/8-3/2-7/4
&lt;/td&gt;
| 1/1-4/3-14/9-16/9
        &lt;td&gt;1-11/7-9/5-9/8&lt;br /&gt;
| 1/1-7/6-4/3-3/2
&lt;/td&gt;
|-
        &lt;td&gt;werckismic&lt;br /&gt;
| 85
&lt;/td&gt;
| 0-8-12-21
    &lt;/tr&gt;
| 1-10/7-12/7-9/7
    &lt;tr&gt;
| otonal
        &lt;td&gt;77&lt;br /&gt;
| 1/1-9/7-10/7-12/7
&lt;/td&gt;
| 1/1-10/9-4/3-14/9
        &lt;td&gt;0-11-13-18&lt;br /&gt;
| 1/1-6/5-7/5-9/5
&lt;/td&gt;
| 1/1-7/6-3/2-5/3
        &lt;td&gt;1-18/11-9/5-9/8&lt;br /&gt;
|-
&lt;/td&gt;
| 86
        &lt;td&gt;utonal&lt;br /&gt;
| 0-9-12-21
&lt;/td&gt;
| 1-3/2-12/7-9/7
    &lt;/tr&gt;
| ambitonal
    &lt;tr&gt;
| 1/1-9/7-3/2-12/7
        &lt;td&gt;78&lt;br /&gt;
| 1/1-7/6-4/3-14/9
&lt;/td&gt;
| 1/1-8/7-4/3-12/7
        &lt;td&gt;0-3-8-21&lt;br /&gt;
| 1/1-7/6-3/2-7/4
&lt;/td&gt;
|-
        &lt;td&gt;1-8/7-10/7-9/7&lt;br /&gt;
| 87
&lt;/td&gt;
| 0-10-12-21
        &lt;td&gt;otonal&lt;br /&gt;
| 1-11/7-12/7-9/7
&lt;/td&gt;
| otonal
    &lt;/tr&gt;
| 1/1-9/7-11/7-12/7
    &lt;tr&gt;
| 1/1-11/9-4/3-14/9
        &lt;td&gt;79&lt;br /&gt;
| 1/1-11/10-14/11-18/11
&lt;/td&gt;
| 1/1-7/6-3/2-11/6
        &lt;td&gt;0-3-10-21&lt;br /&gt;
|-
&lt;/td&gt;
| 88
        &lt;td&gt;1-8/7-11/7-9/7&lt;br /&gt;
| 0-3-13-21
&lt;/td&gt;
| 1-8/7-9/5-9/7
        &lt;td&gt;otonal&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 1/1-8/7-9/7-9/5
    &lt;/tr&gt;
| 1/1-9/8-11/7-7/4
    &lt;tr&gt;
| 1/1-7/5-14/9-16/9
        &lt;td&gt;80&lt;br /&gt;
| 1/1-10/9-14/11-10/7
&lt;/td&gt;
|-
        &lt;td&gt;0-8-10-21&lt;br /&gt;
| 89
&lt;/td&gt;
| 0-8-13-21
        &lt;td&gt;1-10/7-11/7-9/7&lt;br /&gt;
| 1-10/7-9/5-9/7
&lt;/td&gt;
| starling
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-9/7-10/7-9/5
&lt;/td&gt;
| 1/1-10/9-7/5-14/9
    &lt;/tr&gt;
| 1/1-5/4-7/5-9/5
    &lt;tr&gt;
| 1/1-10/9-10/7-8/5
        &lt;td&gt;81&lt;br /&gt;
|-
&lt;/td&gt;
| 90
        &lt;td&gt;0-3-11-21&lt;br /&gt;
| 0-9-13-21
&lt;/td&gt;
| 1-3/2-9/5-9/7
        &lt;td&gt;1-8/7-18/11-9/7&lt;br /&gt;
| utonal
&lt;/td&gt;
| 1/1-9/7-3/2-9/5
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-7/6-7/5-14/9
&lt;/td&gt;
| 1/1-6/5-4/3-12/7
    &lt;/tr&gt;
| 1/1-10/9-10/7-5/3
    &lt;tr&gt;
|-
        &lt;td&gt;82&lt;br /&gt;
| 91
&lt;/td&gt;
| 0-10-13-21
        &lt;td&gt;0-8-11-21&lt;br /&gt;
| 1-11/7-9/5-9/7
&lt;/td&gt;
| werckismic
        &lt;td&gt;1-10/7-18/11-9/7&lt;br /&gt;
| 1/1-9/7-11/7-9/5
&lt;/td&gt;
| 1/1-11/9-7/5-14/9
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-8/7-14/11-18/11
&lt;/td&gt;
| 1/1-10/9-10/7-7/4
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 92
        &lt;td&gt;83&lt;br /&gt;
| 0-11-13-21
&lt;/td&gt;
| 1-18/11-9/5-9/7
        &lt;td&gt;0-9-11-21&lt;br /&gt;
| utonal
&lt;/td&gt;
| 1/1-9/7-18/11-9/5
        &lt;td&gt;1-3/2-18/11-9/7&lt;br /&gt;
| 1/1-14/11-7/5-14/9
&lt;/td&gt;
| 1/1-11/10-11/9-11/7
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-10/9-10/7-11/6
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 93
    &lt;tr&gt;
| 0-8-18-21
        &lt;td&gt;84&lt;br /&gt;
| 1-10/7-9/8-9/7
&lt;/td&gt;
| werckismic
        &lt;td&gt;0-3-12-21&lt;br /&gt;
| 1/1-9/8-9/7-10/7
&lt;/td&gt;
| 1/1-8/7-14/11-16/9
        &lt;td&gt;1-8/7-12/7-9/7&lt;br /&gt;
| 1/1-10/9-14/9-7/4
&lt;/td&gt;
| 1/1-7/5-11/7-9/5
        &lt;td&gt;otonal&lt;br /&gt;
|-
&lt;/td&gt;
| 94
    &lt;/tr&gt;
| 0-9-18-21
    &lt;tr&gt;
| 1-3/2-9/8-9/7
        &lt;td&gt;85&lt;br /&gt;
| utonal
&lt;/td&gt;
| 1/1-9/8-9/7-3/2
        &lt;td&gt;0-8-12-21&lt;br /&gt;
| 1/1-8/7-4/3-16/9
&lt;/td&gt;
| 1/1-7/6-14/9-7/4
        &lt;td&gt;1-10/7-12/7-9/7&lt;br /&gt;
| 1/1-4/3-3/2-12/7
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| 95
&lt;/td&gt;
| 0-10-18-21
    &lt;/tr&gt;
| 1-11/7-9/8-9/7
    &lt;tr&gt;
| werckismic
        &lt;td&gt;86&lt;br /&gt;
| 1/1-9/8-9/7-11/7
&lt;/td&gt;
| 1/1-8/7-7/5-16/9
        &lt;td&gt;0-9-12-21&lt;br /&gt;
| 1/1-11/9-14/9-7/4
&lt;/td&gt;
| 1/1-14/11-10/7-18/11
        &lt;td&gt;1-3/2-12/7-9/7&lt;br /&gt;
|-
&lt;/td&gt;
| 96
        &lt;td&gt;ambitonal&lt;br /&gt;
| 0-11-18-21
&lt;/td&gt;
| 1-18/11-9/8-9/7
    &lt;/tr&gt;
| utonal
    &lt;tr&gt;
| 1/1-9/8-9/7-18/11
        &lt;td&gt;87&lt;br /&gt;
| 1/1-8/7-16/11-16/9
&lt;/td&gt;
| 1/1-14/11-14/9-7/4
        &lt;td&gt;0-10-12-21&lt;br /&gt;
| 1/1-11/9-11/8-11/7
&lt;/td&gt;
|-
        &lt;td&gt;1-11/7-12/7-9/7&lt;br /&gt;
| 97
&lt;/td&gt;
| 0-13-18-21
        &lt;td&gt;otonal&lt;br /&gt;
| 1-9/5-9/8-9/7
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 1/1-9/8-9/7-9/5
    &lt;tr&gt;
| 1/1-8/7-8/5-16/9
        &lt;td&gt;88&lt;br /&gt;
| 1/1-7/5-14/9-7/4
&lt;/td&gt;
| 1/1-10/9-5/4-10/7
        &lt;td&gt;0-3-13-21&lt;br /&gt;
|}
&lt;/td&gt;
        &lt;td&gt;1-8/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;starling&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;93&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;94&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;97&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
== Pentads ==
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
{| class="wikitable center-1"
|-
! #
! Chord
! Transversal
! Type
! As generated
! 1st inversion
! 2nd inversion
! 3rd inversion
! 4th inversion
|-
| 1
| 0-2-4-7-9
| 1-11/10-6/5-11/8-3/2
| zeus
| 1/1-11/10-6/5-11/8-3/2
| 1/1-11/10-5/4-11/8-11/6
| 1/1-8/7-5/4-5/3-11/6
| 1/1-11/10-16/11-8/5-7/4
| 1/1-4/3-16/11-8/5-11/6
|-
| 2
| 0-2-5-7-9
| 1-11/10-5/4-11/8-3/2
| zeus
| 1/1-11/10-5/4-11/8-3/2
| 1/1-8/7-5/4-11/8-11/6
| 1/1-11/10-6/5-8/5-7/4
| 1/1-11/10-16/11-8/5-11/6
| 1/1-4/3-16/11-5/3-11/6
|-
| 3
| 0-2-5-7-10
| 1-11/10-5/4-11/8-11/7
| valinorsmic
| 1/1-11/10-5/4-11/8-11/7
| 1/1-8/7-5/4-10/7-11/6
| 1/1-11/10-5/4-8/5-7/4
| 1/1-8/7-16/11-8/5-11/6
| 1/1-14/11-7/5-8/5-7/4
|-
| 4
| 0-3-5-7-10
| 1-8/7-5/4-11/8-11/7
| zeus
| 1/1-8/7-5/4-11/8-11/7
| 1/1-11/10-6/5-11/8-7/4
| 1/1-11/10-5/4-8/5-11/6
| 1/1-8/7-16/11-5/3-11/6
| 1/1-14/11-16/11-8/5-7/4
|-
| 5
| 0-3-5-8-10
| 1-8/7-5/4-10/7-11/7
| valinorsmic
| 1/1-8/7-5/4-10/7-11/7
| 1/1-11/10-5/4-11/8-7/4
| 1/1-8/7-5/4-8/5-11/6
| 1/1-11/10-7/5-8/5-7/4
| 1/1-14/11-16/11-8/5-11/6
|-
| 6
| 0-2-4-7-11
| 1-11/10-6/5-11/8-18/11
| zeus
| 1/1-11/10-6/5-11/8-18/11
| 1/1-11/10-5/4-3/2-11/6
| 1/1-8/7-11/8-5/3-11/6
| 1/1-6/5-16/11-8/5-7/4
| 1/1-11/9-4/3-16/11-5/3
|-
| 7
| 0-2-4-9-11
| 1-11/10-6/5-3/2-18/11
| biyatismic
| 1/1-11/10-6/5-3/2-18/11
| 1/1-11/10-11/8-3/2-11/6
| 1/1-5/4-11/8-5/3-11/6
| 1/1-11/10-4/3-16/11-8/5
| 1/1-11/9-4/3-16/11-11/6
|-
| 8
| 0-2-7-9-11
| 1-11/10-11/8-3/2-18/11
| biyatismic
| 1/1-11/10-11/8-3/2-18/11
| 1/1-5/4-11/8-3/2-11/6
| 1/1-11/10-6/5-16/11-8/5
| 1/1-11/10-4/3-16/11-11/6
| 1/1-11/9-4/3-5/3-11/6
|-
| 9
| 0-4-7-9-11
| 1-6/5-11/8-3/2-18/11
| zeus
| 1/1-6/5-11/8-3/2-18/11
| 1/1-8/7-5/4-11/8-5/3
| 1/1-11/10-6/5-16/11-7/4
| 1/1-11/10-4/3-8/5-11/6
| 1/1-11/9-16/11-5/3-11/6
|-
| 10
| 0-2-4-7-12
| 1-11/10-6/5-11/8-12/7
| zeus
| 1/1-11/10-6/5-11/8-12/7
| 1/1-11/10-5/4-11/7-11/6
| 1/1-8/7-10/7-5/3-11/6
| 1/1-5/4-16/11-8/5-7/4
| 1/1-7/6-14/11-7/5-8/5
|-
| 11
| 0-2-5-7-12
| 1-11/10-5/4-11/8-12/7
| zeus
| 1/1-11/10-5/4-11/8-12/7
| 1/1-8/7-5/4-11/7-11/6
| 1/1-11/10-11/8-8/5-7/4
| 1/1-5/4-16/11-8/5-11/6
| 1/1-7/6-14/11-16/11-8/5
|-
| 12
| 0-3-5-7-12
| 1-8/7-5/4-11/8-12/7
| zeus
| 1/1-8/7-5/4-11/8-12/7
| 1/1-11/10-6/5-3/2-7/4
| 1/1-11/10-11/8-8/5-11/6
| 1/1-5/4-16/11-5/3-11/6
| 1/1-7/6-4/3-16/11-8/5
|-
| 13
| 0-3-5-8-12
| 1-8/7-5/4-10/7-12/7
| zeus
| 1/1-8/7-5/4-10/7-12/7
| 1/1-11/10-5/4-3/2-7/4
| 1/1-8/7-11/8-8/5-11/6
| 1/1-6/5-7/5-8/5-7/4
| 1/1-7/6-4/3-16/11-5/3
|-
| 14
| 0-2-4-9-12
| 1-11/10-6/5-3/2-12/7
| utonal
| 1/1-11/10-6/5-3/2-12/7
| 1/1-11/10-11/8-11/7-11/6
| 1/1-5/4-10/7-5/3-11/6
| 1/1-8/7-4/3-16/11-8/5
| 1/1-7/6-14/11-7/5-7/4
|-
| 15
| 0-2-5-9-12
| 1-11/10-5/4-3/2-12/7
| zeus
| 1/1-11/10-5/4-3/2-12/7
| 1/1-8/7-11/8-11/7-11/6
| 1/1-6/5-11/8-8/5-7/4
| 1/1-8/7-4/3-16/11-5/3
| 1/1-7/6-14/11-16/11-7/4
|-
| 16
| 0-2-7-9-12
| 1-11/10-11/8-3/2-12/7
| zeus
| 1/1-11/10-11/8-3/2-12/7
| 1/1-5/4-11/8-11/7-11/6
| 1/1-11/10-5/4-16/11-8/5
| 1/1-8/7-4/3-16/11-11/6
| 1/1-7/6-14/11-8/5-7/4
|-
| 17
| 0-4-7-9-12
| 1-6/5-11/8-3/2-12/7
| zeus
| 1/1-6/5-11/8-3/2-12/7
| 1/1-8/7-5/4-10/7-5/3
| 1/1-11/10-5/4-16/11-7/4
| 1/1-8/7-4/3-8/5-11/6
| 1/1-7/6-7/5-8/5-7/4
|-
| 18
| 0-5-7-9-12
| 1-5/4-11/8-3/2-12/7
| zeus
| 1/1-5/4-11/8-3/2-12/7
| 1/1-11/10-6/5-11/8-8/5
| 1/1-11/10-5/4-16/11-11/6
| 1/1-8/7-4/3-5/3-11/6
| 1/1-7/6-16/11-8/5-7/4
|-
| 19
| 0-2-5-10-12
| 1-11/10-5/4-11/7-12/7
| zeus
| 1/1-11/10-5/4-11/7-12/7
| 1/1-8/7-10/7-11/7-11/6
| 1/1-5/4-11/8-8/5-7/4
| 1/1-11/10-14/11-7/5-8/5
| 1/1-7/6-14/11-16/11-11/6
|-
| 20
| 0-3-5-10-12
| 1-8/7-5/4-11/7-12/7
| zeus
| 1/1-8/7-5/4-11/7-12/7
| 1/1-11/10-11/8-3/2-7/4
| 1/1-5/4-11/8-8/5-11/6
| 1/1-11/10-14/11-16/11-8/5
| 1/1-7/6-4/3-16/11-11/6
|-
| 21
| 0-2-7-10-12
| 1-11/10-11/8-11/7-12/7
| zeus
| 1/1-11/10-11/8-11/7-12/7
| 1/1-5/4-10/7-11/7-11/6
| 1/1-8/7-5/4-16/11-8/5
| 1/1-11/10-14/11-7/5-7/4
| 1/1-7/6-14/11-8/5-11/6
|-
| 22
| 0-3-7-10-12
| 1-8/7-11/8-11/7-12/7
| zeus
| 1/1-8/7-11/8-11/7-12/7
| 1/1-6/5-11/8-3/2-7/4
| 1/1-8/7-5/4-16/11-5/3
| 1/1-11/10-14/11-16/11-7/4
| 1/1-7/6-4/3-8/5-11/6
|-
| 23
| 0-5-7-10-12
| 1-5/4-11/8-11/7-12/7
| zeus
| 1/1-5/4-11/8-11/7-12/7
| 1/1-11/10-5/4-11/8-8/5
| 1/1-8/7-5/4-16/11-11/6
| 1/1-11/10-14/11-8/5-7/4
| 1/1-7/6-16/11-8/5-11/6
|-
| 24
| 0-3-8-10-12
| 1-8/7-10/7-11/7-12/7
| otonal
| 1/1-8/7-10/7-11/7-12/7
| 1/1-5/4-11/8-3/2-7/4
| 1/1-11/10-6/5-7/5-8/5
| 1/1-11/10-14/11-16/11-11/6
| 1/1-7/6-4/3-5/3-11/6
|-
| 25
| 0-5-8-10-12
| 1-5/4-10/7-11/7-12/7
| zeus
| 1/1-5/4-10/7-11/7-12/7
| 1/1-8/7-5/4-11/8-8/5
| 1/1-11/10-6/5-7/5-7/4
| 1/1-11/10-14/11-8/5-11/6
| 1/1-7/6-16/11-5/3-11/6
|-
| 26
| 0-3-5-8-13
| 1-8/7-5/4-10/7-9/5
| thrush
| 1/1-8/7-5/4-10/7-9/5
| 1/1-11/10-5/4-11/7-7/4
| 1/1-8/7-10/7-8/5-11/6
| 1/1-5/4-7/5-8/5-7/4
| 1/1-10/9-14/11-7/5-8/5
|-
| 27
| 0-2-4-9-13
| 1-11/10-6/5-3/2-9/5
| biyatismic
| 1/1-11/10-6/5-3/2-9/5
| 1/1-11/10-11/8-18/11-11/6
| 1/1-5/4-3/2-5/3-11/6
| 1/1-6/5-4/3-16/11-8/5
| 1/1-10/9-11/9-4/3-5/3
|-
| 28
| 0-2-5-9-13
| 1-11/10-5/4-3/2-9/5
| valentine
| 1/1-11/10-5/4-3/2-9/5
| 1/1-8/7-11/8-18/11-11/6
| 1/1-6/5-10/7-8/5-7/4
| 1/1-6/5-4/3-16/11-5/3
| 1/1-10/9-11/9-7/5-5/3
|-
| 29
| 0-2-5-10-13
| 1-11/10-5/4-11/7-9/5
| thrush
| 1/1-11/10-5/4-11/7-9/5
| 1/1-8/7-10/7-18/11-11/6
| 1/1-5/4-10/7-8/5-7/4
| 1/1-8/7-14/11-7/5-8/5
| 1/1-10/9-11/9-7/5-7/4
|-
| 30
| 0-3-5-10-13
| 1-8/7-5/4-11/7-9/5
| thrush
| 1/1-8/7-5/4-11/7-9/5
| 1/1-11/10-11/8-11/7-7/4
| 1/1-5/4-10/7-8/5-11/6
| 1/1-8/7-14/11-16/11-8/5
| 1/1-10/9-14/11-7/5-7/4
|-
| 31
| 0-3-8-10-13
| 1-8/7-10/7-11/7-9/5
| thrush
| 1/1-8/7-10/7-11/7-9/5
| 1/1-5/4-11/8-11/7-7/4
| 1/1-11/10-5/4-7/5-8/5
| 1/1-8/7-14/11-16/11-11/6
| 1/1-10/9-14/11-8/5-7/4
|-
| 32
| 0-5-8-10-13
| 1-5/4-10/7-11/7-9/5
| thrush
| 1/1-5/4-10/7-11/7-9/5
| 1/1-8/7-5/4-10/7-8/5
| 1/1-11/10-5/4-7/5-7/4
| 1/1-8/7-14/11-8/5-11/6
| 1/1-10/9-7/5-8/5-7/4
|-
| 33
| 0-2-4-11-13
| 1-11/10-6/5-18/11-9/5
| biyatismic
| 1/1-11/10-6/5-18/11-9/5
| 1/1-11/10-3/2-18/11-11/6
| 1/1-11/8-3/2-5/3-11/6
| 1/1-11/10-11/9-4/3-16/11
| 1/1-10/9-11/9-4/3-11/6
|-
| 34
| 0-3-8-11-13
| 1-8/7-10/7-18/11-9/5
| thrush
| 1/1-8/7-10/7-18/11-9/5
| 1/1-5/4-10/7-11/7-7/4
| 1/1-8/7-5/4-7/5-8/5
| 1/1-11/10-11/9-7/5-7/4
| 1/1-10/9-14/11-8/5-11/6
|-
| 35
| 0-4-8-11-13
| 1-6/5-10/7-18/11-9/5
| valentine
| 1/1-6/5-10/7-18/11-9/5
| 1/1-6/5-11/8-3/2-5/3
| 1/1-8/7-5/4-7/5-5/3
| 1/1-11/10-11/9-16/11-7/4
| 1/1-10/9-4/3-8/5-11/6
|-
| 36
| 0-2-9-11-13
| 1-11/10-3/2-18/11-9/5
| biyatismic
| 1/1-11/10-3/2-18/11-9/5
| 1/1-11/8-3/2-18/11-11/6
| 1/1-11/10-6/5-4/3-16/11
| 1/1-11/10-11/9-4/3-11/6
| 1/1-10/9-11/9-5/3-11/6
|-
| 37
| 0-4-9-11-13
| 1-6/5-3/2-18/11-9/5
| biyatismic
| 1/1-6/5-3/2-18/11-9/5
| 1/1-5/4-11/8-3/2-5/3
| 1/1-11/10-6/5-4/3-8/5
| 1/1-11/10-11/9-16/11-11/6
| 1/1-10/9-4/3-5/3-11/6
|-
| 38
| 0-5-7-9-18
| 1-5/4-11/8-3/2-9/8
| otonal
| 1/1-9/8-5/4-11/8-3/2
| 1/1-10/9-11/9-4/3-16/9
| 1/1-11/10-6/5-8/5-9/5
| 1/1-11/10-16/11-18/11-11/6
| 1/1-4/3-3/2-5/3-11/6
|-
| 39
| 0-5-7-10-18
| 1-5/4-11/8-11/7-9/8
| thrush
| 1/1-9/8-5/4-11/8-11/7
| 1/1-10/9-11/9-7/5-16/9
| 1/1-11/10-5/4-8/5-9/5
| 1/1-8/7-16/11-18/11-11/6
| 1/1-14/11-10/7-8/5-7/4
|-
| 40
| 0-5-8-10-18
| 1-5/4-10/7-11/7-9/8
| thrush
| 1/1-9/8-5/4-10/7-11/7
| 1/1-10/9-14/11-7/5-16/9
| 1/1-8/7-5/4-8/5-9/5
| 1/1-11/10-7/5-11/7-7/4
| 1/1-14/11-10/7-8/5-11/6
|-
| 41
| 0-7-9-11-18
| 1-11/8-3/2-18/11-9/8
| biyatismic
| 1/1-9/8-11/8-3/2-18/11
| 1/1-11/9-4/3-16/11-16/9
| 1/1-11/10-6/5-16/11-18/11
| 1/1-11/10-4/3-3/2-11/6
| 1/1-11/9-11/8-5/3-11/6
|-
| 42
| 0-5-8-13-18
| 1-5/4-10/7-9/5-9/8
| thrush
| 1/1-9/8-5/4-10/7-9/5
| 1/1-10/9-14/11-8/5-16/9
| 1/1-8/7-10/7-8/5-9/5
| 1/1-5/4-7/5-11/7-7/4
| 1/1-10/9-5/4-7/5-8/5
|-
| 43
| 0-5-9-13-18
| 1-5/4-3/2-9/5-9/8
| starling
| 1/1-9/8-5/4-3/2-9/5
| 1/1-10/9-4/3-8/5-16/9
| 1/1-6/5-10/7-8/5-9/5
| 1/1-6/5-4/3-3/2-5/3
| 1/1-10/9-5/4-7/5-5/3
|-
| 44
| 0-5-10-13-18
| 1-5/4-11/7-9/5-9/8
| thrush
| 1/1-9/8-5/4-11/7-9/5
| 1/1-10/9-7/5-8/5-16/9
| 1/1-5/4-10/7-8/5-9/5
| 1/1-8/7-14/11-10/7-8/5
| 1/1-10/9-5/4-7/5-7/4
|-
| 45
| 0-8-10-13-18
| 1-10/7-11/7-9/5-9/8
| thrush
| 1/1-9/8-10/7-11/7-9/5
| 1/1-14/11-7/5-8/5-16/9
| 1/1-11/10-5/4-7/5-11/7
| 1/1-8/7-14/11-10/7-11/6
| 1/1-10/9-5/4-8/5-7/4
|-
| 46
| 0-8-11-13-18
| 1-10/7-18/11-9/5-9/8
| thrush
| 1/1-9/8-10/7-18/11-9/5
| 1/1-14/11-16/11-8/5-16/9
| 1/1-8/7-5/4-7/5-11/7
| 1/1-11/10-11/9-11/8-7/4
| 1/1-10/9-5/4-8/5-11/6
|-
| 47
| 0-9-11-13-18
| 1-3/2-18/11-9/5-9/8
| utonal
| 1/1-9/8-3/2-18/11-9/5
| 1/1-4/3-16/11-8/5-16/9
| 1/1-11/10-6/5-4/3-3/2
| 1/1-11/10-11/9-11/8-11/6
| 1/1-10/9-5/4-5/3-11/6
|-
| 48
| 0-3-8-10-21
| 1-8/7-10/7-11/7-9/7
| otonal
| 1/1-8/7-9/7-10/7-11/7
| 1/1-9/8-5/4-11/8-7/4
| 1/1-10/9-11/9-14/9-16/9
| 1/1-11/10-7/5-8/5-9/5
| 1/1-14/11-16/11-18/11-11/6
|-
| 49
| 0-3-8-11-21
| 1-8/7-10/7-18/11-9/7
| werckismic
| 1/1-8/7-9/7-10/7-18/11
| 1/1-9/8-5/4-10/7-7/4
| 1/1-10/9-14/11-14/9-16/9
| 1/1-8/7-7/5-8/5-9/5
| 1/1-11/9-7/5-11/7-7/4
|-
| 50
| 0-3-8-12-21
| 1-8/7-10/7-12/7-9/7
| otonal
| 1/1-8/7-9/7-10/7-12/7
| 1/1-9/8-5/4-3/2-7/4
| 1/1-10/9-4/3-14/9-16/9
| 1/1-6/5-7/5-8/5-9/5
| 1/1-7/6-4/3-3/2-5/3
|-
| 51
| 0-3-10-12-21
| 1-8/7-11/7-12/7-9/7
| otonal
| 1/1-8/7-9/7-11/7-12/7
| 1/1-9/8-11/8-3/2-7/4
| 1/1-11/9-4/3-14/9-16/9
| 1/1-11/10-14/11-16/11-18/11
| 1/1-7/6-4/3-3/2-11/6
|-
| 52
| 0-8-10-12-21
| 1-10/7-11/7-12/7-9/7
| otonal
| 1/1-9/7-10/7-11/7-12/7
| 1/1-10/9-11/9-4/3-14/9
| 1/1-11/10-6/5-7/5-9/5
| 1/1-11/10-14/11-18/11-11/6
| 1/1-7/6-3/2-5/3-11/6
|-
| 53
| 0-3-8-13-21
| 1-8/7-10/7-9/5-9/7
| thrush
| 1/1-8/7-9/7-10/7-9/5
| 1/1-9/8-5/4-11/7-7/4
| 1/1-10/9-7/5-14/9-16/9
| 1/1-5/4-7/5-8/5-9/5
| 1/1-10/9-14/11-10/7-8/5
|-
| 54
| 0-3-10-13-21
| 1-8/7-11/7-9/5-9/7
| werckismic
| 1/1-8/7-9/7-11/7-9/5
| 1/1-9/8-11/8-11/7-7/4
| 1/1-11/9-7/5-14/9-16/9
| 1/1-8/7-14/11-16/11-18/11
| 1/1-10/9-14/11-10/7-7/4
|-
| 55
| 0-8-10-13-21
| 1-10/7-11/7-9/5-9/7
| thrush
| 1/1-9/7-10/7-11/7-9/5
| 1/1-10/9-11/9-7/5-14/9
| 1/1-11/10-5/4-7/5-9/5
| 1/1-8/7-14/11-18/11-11/6
| 1/1-10/9-10/7-8/5-7/4
|-
| 56
| 0-3-11-13-21
| 1-8/7-18/11-9/5-9/7
| werckismic
| 1/1-8/7-9/7-18/11-9/5
| 1/1-9/8-10/7-11/7-7/4
| 1/1-14/11-7/5-14/9-16/9
| 1/1-11/10-11/9-7/5-11/7
| 1/1-10/9-14/11-10/7-11/6
|-
| 57
| 0-8-11-13-21
| 1-10/7-18/11-9/5-9/7
| thrush
| 1/1-9/7-10/7-18/11-9/5
| 1/1-10/9-14/11-7/5-14/9
| 1/1-8/7-5/4-7/5-9/5
| 1/1-11/10-11/9-11/7-7/4
| 1/1-10/9-10/7-8/5-11/6
|-
| 58
| 0-9-11-13-21
| 1-3/2-18/11-9/5-9/7
| utonal
| 1/1-9/7-3/2-18/11-9/5
| 1/1-7/6-14/11-7/5-14/9
| 1/1-11/10-6/5-4/3-12/7
| 1/1-11/10-11/9-11/7-11/6
| 1/1-10/9-10/7-5/3-11/6
|-
| 59
| 0-8-10-18-21
| 1-10/7-11/7-9/8-9/7
| werckismic
| 1/1-9/8-9/7-10/7-11/7
| 1/1-8/7-14/11-7/5-16/9
| 1/1-10/9-11/9-14/9-7/4
| 1/1-11/10-7/5-11/7-9/5
| 1/1-14/11-10/7-18/11-11/6
|-
| 60
| 0-8-11-18-21
| 1-10/7-18/11-9/8-9/7
| werckismic
| 1/1-9/8-9/7-10/7-18/11
| 1/1-8/7-14/11-16/11-16/9
| 1/1-10/9-14/11-14/9-7/4
| 1/1-8/7-7/5-11/7-9/5
| 1/1-11/9-11/8-11/7-7/4
|-
| 61
| 0-9-11-18-21
| 1-3/2-18/11-9/8-9/7
| utonal
| 1/1-9/8-9/7-3/2-18/11
| 1/1-8/7-4/3-16/11-16/9
| 1/1-7/6-14/11-14/9-7/4
| 1/1-11/10-4/3-3/2-12/7
| 1/1-11/9-11/8-11/7-11/6
|-
| 62
| 0-8-13-18-21
| 1-10/7-9/5-9/8-9/7
| thrush
| 1/1-9/8-9/7-10/7-9/5
| 1/1-8/7-14/11-8/5-16/9
| 1/1-10/9-7/5-14/9-7/4
| 1/1-5/4-7/5-11/7-9/5
| 1/1-10/9-5/4-10/7-8/5
|-
| 63
| 0-9-13-18-21
| 1-3/2-9/5-9/8-9/7
| utonal
| 1/1-9/8-9/7-3/2-9/5
| 1/1-8/7-4/3-8/5-16/9
| 1/1-7/6-7/5-14/9-7/4
| 1/1-6/5-4/3-3/2-12/7
| 1/1-10/9-5/4-10/7-5/3
|-
| 64
| 0-10-13-18-21
| 1-11/7-9/5-9/8-9/7
| werckismic
| 1/1-9/8-9/7-11/7-9/5
| 1/1-8/7-7/5-8/5-16/9
| 1/1-11/9-7/5-14/9-7/4
| 1/1-8/7-14/11-10/7-18/11
| 1/1-10/9-5/4-10/7-7/4
|-
| 65
| 0-11-13-18-21
| 1-18/11-9/5-9/8-9/7
| utonal
| 1/1-9/8-9/7-18/11-9/5
| 1/1-8/7-16/11-8/5-16/9
| 1/1-14/11-7/5-14/9-7/4
| 1/1-11/10-11/9-11/8-11/7
| 1/1-10/9-5/4-10/7-11/6
|}


== Hexads ==
{| class="wikitable center-1"
|-
! #
! Chord
! Transversal
! Type
! As generated
! 1st inversion
! 2nd inversion
! 3rd inversion
! 4th inversion
! 5th inversion
|-
| 1
| 0-2-4-7-9-11
| 1-11/10-6/5-11/8-3/2-18/11
| zeus
| 1/1-11/10-6/5-11/8-3/2-18/11
| 1/1-11/10-5/4-11/8-3/2-11/9
| 1/1-8/7-5/4-11/8-5/3-11/6
| 1/1-11/10-6/5-16/11-8/5-7/4
| 1/1-11/10-4/3-16/11-8/5-11/6
| 1/1-11/9-4/3-16/11-5/3-11/6
|-
| 2
| 0-2-4-7-9-12
| 1-11/10-6/5-11/8-3/2-12/7
| zeus
| 1/1-11/10-6/5-11/8-3/2-12/7
| 1/1-11/10-5/4-11/8-11/7-7/6
| 1/1-8/7-5/4-10/7-5/3-11/6
| 1/1-11/10-5/4-16/11-8/5-7/4
| 1/1-8/7-4/3-16/11-8/5-11/6
| 1/1-7/6-14/11-7/5-8/5-7/4
|-
| 3
| 0-2-5-7-9-12
| 1-11/10-5/4-11/8-3/2-12/7
| zeus
| 1/1-11/10-5/4-11/8-3/2-12/7
| 1/1-8/7-5/4-11/8-11/7-7/6
| 1/1-11/10-6/5-11/8-8/5-7/4
| 1/1-11/10-5/4-16/11-8/5-11/6
| 1/1-8/7-4/3-16/11-5/3-11/6
| 1/1-7/6-14/11-16/11-8/5-7/4
|-
| 4
| 0-2-5-7-10-12
| 1-11/10-5/4-11/8-11/7-12/7
| zeus
| 1/1-11/10-5/4-11/8-11/7-12/7
| 1/1-8/7-5/4-10/7-11/7-7/6
| 1/1-11/10-5/4-11/8-8/5-7/4
| 1/1-8/7-5/4-16/11-8/5-11/6
| 1/1-11/10-14/11-7/5-8/5-7/4
| 1/1-7/6-14/11-16/11-8/5-11/6
|-
| 5
| 0-3-5-7-10-12
| 1-8/7-5/4-11/8-11/7-12/7
| zeus
| 1/1-8/7-5/4-11/8-11/7-12/7
| 1/1-11/10-6/5-11/8-3/2-7/6
| 1/1-11/10-5/4-11/8-8/5-11/6
| 1/1-8/7-5/4-16/11-5/3-11/6
| 1/1-11/10-14/11-16/11-8/5-7/4
| 1/1-7/6-4/3-16/11-8/5-11/6
|-
| 6
| 0-3-5-8-10-12
| 1-8/7-5/4-10/7-11/7-12/7
| zeus
| 1/1-8/7-5/4-10/7-11/7-12/7
| 1/1-11/10-5/4-11/8-3/2-7/6
| 1/1-8/7-5/4-11/8-8/5-11/6
| 1/1-11/10-6/5-7/5-8/5-7/4
| 1/1-11/10-14/11-16/11-8/5-11/6
| 1/1-7/6-4/3-16/11-5/3-11/6
|-
| 7
| 0-3-5-8-10-13
| 1-8/7-5/4-10/7-11/7-9/5
| thrush
| 1/1-8/7-5/4-10/7-11/7-9/5
| 1/1-11/10-5/4-11/8-11/7-10/9
| 1/1-8/7-5/4-10/7-8/5-11/6
| 1/1-11/10-5/4-7/5-8/5-7/4
| 1/1-8/7-14/11-16/11-8/5-11/6
| 1/1-10/9-14/11-7/5-8/5-7/4
|-
| 8
| 0-2-4-9-11-13
| 1-11/10-6/5-3/2-18/11-9/5
| biyatismic
| 1/1-11/10-6/5-3/2-18/11-9/5
| 1/1-11/10-11/8-3/2-18/11-10/9
| 1/1-5/4-11/8-3/2-5/3-11/6
| 1/1-11/10-6/5-4/3-16/11-8/5
| 1/1-11/10-11/9-4/3-16/11-11/6
| 1/1-10/9-11/9-4/3-5/3-11/6
|-
| 9
| 0-5-8-10-13-18
| 1-5/4-10/7-11/7-9/5-9/8
| thrush
| 1/1-9/8-5/4-10/7-11/7-9/5
| 1/1-10/9-14/11-7/5-8/5-10/9
| 1/1-8/7-5/4-10/7-8/5-9/5
| 1/1-11/10-5/4-7/5-11/7-7/4
| 1/1-8/7-14/11-10/7-8/5-11/6
| 1/1-10/9-5/4-7/5-8/5-7/4
|-
| 10
| 0-3-8-10-12-21
| 1-8/7-10/7-11/7-12/7-9/7
| otonal
| 1/1-8/7-9/7-10/7-11/7-12/7
| 1/1-9/8-5/4-11/8-3/2-7/6
| 1/1-10/9-11/9-4/3-14/9-16/9
| 1/1-11/10-6/5-7/5-8/5-9/5
| 1/1-11/10-14/11-16/11-18/11-11/6
| 1/1-7/6-4/3-3/2-5/3-11/6
|-
| 11
| 0-3-8-10-13-21
| 1-8/7-10/7-11/7-9/5-9/7
| thrush
| 1/1-8/7-9/7-10/7-11/7-9/5
| 1/1-9/8-5/4-11/8-11/7-10/9
| 1/1-10/9-11/9-7/5-14/9-16/9
| 1/1-11/10-5/4-7/5-8/5-9/5
| 1/1-8/7-14/11-16/11-18/11-11/6
| 1/1-10/9-14/11-10/7-8/5-7/4
|-
| 12
| 0-3-8-11-13-21
| 1-8/7-10/7-18/11-9/5-9/7
| thrush
| 1/1-8/7-9/7-10/7-18/11-9/5
| 1/1-9/8-5/4-10/7-11/7-10/9
| 1/1-10/9-14/11-7/5-14/9-16/9
| 1/1-8/7-5/4-7/5-8/5-9/5
| 1/1-11/10-11/9-7/5-11/7-7/4
| 1/1-10/9-14/11-10/7-8/5-11/6
|-
| 13
| 0-8-10-13-18-21
| 1-10/7-11/7-9/5-9/8-9/7
| thrush
| 1/1-9/8-9/7-10/7-11/7-9/5
| 1/1-8/7-14/11-7/5-8/5-10/9
| 1/1-10/9-11/9-7/5-14/9-7/4
| 1/1-11/10-5/4-7/5-11/7-9/5
| 1/1-8/7-14/11-10/7-18/11-11/6
| 1/1-10/9-5/4-10/7-8/5-7/4
|-
| 14
| 0-8-11-13-18-21
| 1-10/7-18/11-9/5-9/8-9/7
| thrush
| 1/1-9/8-9/7-10/7-18/11-9/5
| 1/1-8/7-14/11-16/11-8/5-10/9
| 1/1-10/9-14/11-7/5-14/9-7/4
| 1/1-8/7-5/4-7/5-11/7-9/5
| 1/1-11/10-11/9-11/8-11/7-7/4
| 1/1-10/9-5/4-10/7-8/5-11/6
|-
| 15
| 0-9-11-13-18-21
| 1-3/2-18/11-9/5-9/8-9/7
| utonal
| 1/1-9/8-9/7-3/2-18/11-9/5
| 1/1-8/7-4/3-16/11-8/5-10/9
| 1/1-7/6-14/11-7/5-14/9-7/4
| 1/1-11/10-6/5-4/3-3/2-12/7
| 1/1-11/10-11/9-11/8-11/7-11/6
| 1/1-10/9-5/4-10/7-5/3-11/6
|}


&lt;table class="wiki_table"&gt;
[[Category:Lists of chords]]
    &lt;tr&gt;
[[Category:Valentine]]
        &lt;td&gt;Number&lt;br /&gt;
[[Category:Triads]]
&lt;/td&gt;
[[Category:Tetrads]]
        &lt;td&gt;Chord&lt;br /&gt;
[[Category:Pentads]]
&lt;/td&gt;
[[Category:Hexads]]
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-11/8-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/8-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-7-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-7-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-11/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-10/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-7-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-11/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/8-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-7-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-11/8-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-11/8-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/8-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-11/8-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-10/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-6/5-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/8-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-7-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-11/8-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/8-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/8-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-7-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/8-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/8-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-10/7-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-10/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valentine&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-10-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-10-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-10-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-10-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-10/7-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-8-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-10/7-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valentine&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-3/2-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/8-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/8-11/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-10/7-11/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-3/2-18/11-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-10/7-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-9-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;starling&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/7-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-11/7-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-18/11-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-10-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-11/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-18/11-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-12-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-10-12-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/7-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-12-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-11/7-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-10-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-11/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-18/11-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-18/11-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-11/7-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-18/11-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Hexads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexads&lt;/h1&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-7-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-11/8-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-7-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-11/8-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-7-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/8-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-7-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-5/4-11/8-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-7-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-11/8-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-10/7-11/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8-10-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-5/4-10/7-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-3/2-18/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;biyatismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-10-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-10/7-11/7-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-10-12-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-11/7-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-10-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-11/7-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11-13-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-10/7-18/11-9/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-11/7-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/7-18/11-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;thrush&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-13-18-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11-9/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 21:52, 22 June 2025

Below are listed the 11-odd-limit dyadic chords of 11-limit valentine temperament. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. 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 11/10 and 11/6.

If only 126/125 needs to be tempered out, the chord is labeled starling, if 121/120, biyatismic, if 176/175, valinorsmic, if 385/384, keenanismic, and if 441/440, werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.

Valentine has mos scales of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords.

Relationship to Carlos Alpha

Because Carlos Alpha is the generator chain of valentine, the list below is also a list of chords of Carlos Alpha, so long as the transversals are adjusted so that the notes are in the correct octave. This means that a number in a chord listed under "chord" less than 16 corresponds to a note in the transversal which should be left unaltered, whereas the notes from 16 to 21 correspond to transversal notes which should be adjusted up an octave. Hence, tetrad 8, the 0–2–5–9 chord with transversal 1–6/5–11/8–3/2, is an essentially zeus chord of Carlos Alpha as well as valentine. On the other hand, tetrad 76, 0–10–13–18 with transversal 1–11/7–9/5–9/8, corresponds to the werckismic 1–11/7–9/5–9/4 chord of Carlos Alpha.

In other words, each chord here has an unlimited number of "voicings" in valentine temperament, but exactly one voicing in Carlos Alpha, because there are no octaves.

Chord ordering

The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of valentine.

Example 1: Triad #13 is generators 0–5–9 and is a traditional five-limit major chord, 1–5/4–3/2. It occurs for the first time on the ninth generation, and will therefore occur six times in Valentine[15] (because 15 - 9 = 6).

Example 2: Triad #38 is generators 0–8–13, which is 1–5/4–7/5, occurs for the first time on the thirteenth generation, and therefore appears only twice in Valentine[15] (because 15 - 13 = 2).

Each of the triads generated has three inversions, i.e., can be written starting on any one of the three tones in the triad. Traditional music theory uses a traditional chord, e.g., the major triad, as the basis for the other two inversions. In this list, that place is taken by the chord that gets generated after a certain number of generator steps is taken to reach the tones needed for the chord. This ordering makes it easy to see how often it will occur in a given mos, as noted in the examples above, but it may seem surprising if you are new to it: for example, triad #8 is 1–8/7–10/7, but it might seem more "natural" to use 1–5/4–7/4, which is listed as the second inversion. The same type of thinking goes into the list of tetrads, pentads, and hexads.

Note that, unlike in traditional music theory, there is nothing canonical, key-centric, harmonically relevant, or otherwise musically important about these orderings and inversions. It is just how the math works out.

Triads

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

Tetrads

# Chord Transversal Type As generated 1st inversion 2nd inversion 3rd inversion
1 0-2-4-7 1-11/10-6/5-11/8 zeus 1/1-11/10-6/5-11/8 1/1-11/10-5/4-11/6 1/1-8/7-5/3-11/6 1/1-16/11-8/5-7/4
2 0-2-5-7 1-11/10-5/4-11/8 valinorsmic 1/1-11/10-5/4-11/8 1/1-8/7-5/4-11/6 1/1-11/10-8/5-7/4 1/1-16/11-8/5-11/6
3 0-3-5-7 1-8/7-5/4-11/8 zeus 1/1-8/7-5/4-11/8 1/1-11/10-6/5-7/4 1/1-11/10-8/5-11/6 1/1-16/11-5/3-11/6
4 0-3-5-8 1-8/7-5/4-10/7 valinorsmic 1/1-8/7-5/4-10/7 1/1-11/10-5/4-7/4 1/1-8/7-8/5-11/6 1/1-7/5-8/5-7/4
5 0-2-4-9 1-11/10-6/5-3/2 utonal 1/1-11/10-6/5-3/2 1/1-11/10-11/8-11/6 1/1-5/4-5/3-11/6 1/1-4/3-16/11-8/5
6 0-2-5-9 1-11/10-5/4-3/2 zeus 1/1-11/10-5/4-3/2 1/1-8/7-11/8-11/6 1/1-6/5-8/5-7/4 1/1-4/3-16/11-5/3
7 0-2-7-9 1-11/10-11/8-3/2 biyatismic 1/1-11/10-11/8-3/2 1/1-5/4-11/8-11/6 1/1-11/10-16/11-8/5 1/1-4/3-16/11-11/6
8 0-4-7-9 1-6/5-11/8-3/2 zeus 1/1-6/5-11/8-3/2 1/1-8/7-5/4-5/3 1/1-11/10-16/11-7/4 1/1-4/3-8/5-11/6
9 0-5-7-9 1-5/4-11/8-3/2 otonal 1/1-5/4-11/8-3/2 1/1-11/10-6/5-8/5 1/1-11/10-16/11-11/6 1/1-4/3-5/3-11/6
10 0-2-5-10 1-11/10-5/4-11/7 valinorsmic 1/1-11/10-5/4-11/7 1/1-8/7-10/7-11/6 1/1-5/4-8/5-7/4 1/1-14/11-7/5-8/5
11 0-3-5-10 1-8/7-5/4-11/7 valinorsmic 1/1-8/7-5/4-11/7 1/1-11/10-11/8-7/4 1/1-5/4-8/5-11/6 1/1-14/11-16/11-8/5
12 0-2-7-10 1-11/10-11/8-11/7 utonal 1/1-11/10-11/8-11/7 1/1-5/4-10/7-11/6 1/1-8/7-16/11-8/5 1/1-14/11-7/5-7/4
13 0-3-7-10 1-8/7-11/8-11/7 keenanismic 1/1-8/7-11/8-11/7 1/1-6/5-11/8-7/4 1/1-8/7-16/11-5/3 1/1-14/11-16/11-7/4
14 0-5-7-10 1-5/4-11/8-11/7 valinorsmic 1/1-5/4-11/8-11/7 1/1-11/10-5/4-8/5 1/1-8/7-16/11-11/6 1/1-14/11-8/5-7/4
15 0-3-8-10 1-8/7-10/7-11/7 otonal 1/1-8/7-10/7-11/7 1/1-5/4-11/8-7/4 1/1-11/10-7/5-8/5 1/1-14/11-16/11-11/6
16 0-5-8-10 1-5/4-10/7-11/7 valinorsmic 1/1-5/4-10/7-11/7 1/1-8/7-5/4-8/5 1/1-11/10-7/5-7/4 1/1-14/11-8/5-11/6
17 0-2-4-11 1-11/10-6/5-18/11 biyatismic 1/1-11/10-6/5-18/11 1/1-11/10-3/2-11/6 1/1-11/8-5/3-11/6 1/1-11/9-4/3-16/11
18 0-2-7-11 1-11/10-11/8-18/11 biyatismic 1/1-11/10-11/8-18/11 1/1-5/4-3/2-11/6 1/1-6/5-16/11-8/5 1/1-11/9-4/3-5/3
19 0-3-7-11 1-8/7-11/8-18/11 valentine 1/1-8/7-11/8-18/11 1/1-6/5-10/7-7/4 1/1-6/5-16/11-5/3 1/1-11/9-7/5-5/3
20 0-4-7-11 1-6/5-11/8-18/11 zeus 1/1-6/5-11/8-18/11 1/1-8/7-11/8-5/3 1/1-6/5-16/11-7/4 1/1-11/9-16/11-5/3
21 0-3-8-11 1-8/7-10/7-18/11 werckismic 1/1-8/7-10/7-18/11 1/1-5/4-10/7-7/4 1/1-8/7-7/5-8/5 1/1-11/9-7/5-7/4
22 0-4-8-11 1-6/5-10/7-18/11 valentine 1/1-6/5-10/7-18/11 1/1-6/5-11/8-5/3 1/1-8/7-7/5-5/3 1/1-11/9-16/11-7/4
23 0-2-9-11 1-11/10-3/2-18/11 ambitonal 1/1-11/10-3/2-18/11 1/1-11/8-3/2-11/6 1/1-11/10-4/3-16/11 1/1-11/9-4/3-11/6
24 0-4-9-11 1-6/5-3/2-18/11 biyatismic 1/1-6/5-3/2-18/11 1/1-5/4-11/8-5/3 1/1-11/10-4/3-8/5 1/1-11/9-16/11-11/6
25 0-7-9-11 1-11/8-3/2-18/11 biyatismic 1/1-11/8-3/2-18/11 1/1-11/10-6/5-16/11 1/1-11/10-4/3-11/6 1/1-11/9-5/3-11/6
26 0-2-4-12 1-11/10-6/5-12/7 utonal 1/1-11/10-6/5-12/7 1/1-11/10-11/7-11/6 1/1-10/7-5/3-11/6 1/1-7/6-14/11-7/5
27 0-2-5-12 1-11/10-5/4-12/7 zeus 1/1-11/10-5/4-12/7 1/1-8/7-11/7-11/6 1/1-11/8-8/5-7/4 1/1-7/6-14/11-16/11
28 0-3-5-12 1-8/7-5/4-12/7 zeus 1/1-8/7-5/4-12/7 1/1-11/10-3/2-7/4 1/1-11/8-8/5-11/6 1/1-7/6-4/3-16/11
29 0-2-7-12 1-11/10-11/8-12/7 zeus 1/1-11/10-11/8-12/7 1/1-5/4-11/7-11/6 1/1-5/4-16/11-8/5 1/1-7/6-14/11-8/5
30 0-3-7-12 1-8/7-11/8-12/7 keenanismic 1/1-8/7-11/8-12/7 1/1-6/5-3/2-7/4 1/1-5/4-16/11-5/3 1/1-7/6-4/3-8/5
31 0-4-7-12 1-6/5-11/8-12/7 keenanismic 1/1-6/5-11/8-12/7 1/1-8/7-10/7-5/3 1/1-5/4-16/11-7/4 1/1-7/6-7/5-8/5
32 0-5-7-12 1-5/4-11/8-12/7 keenanismic 1/1-5/4-11/8-12/7 1/1-11/10-11/8-8/5 1/1-5/4-16/11-11/6 1/1-7/6-16/11-8/5
33 0-3-8-12 1-8/7-10/7-12/7 otonal 1/1-8/7-10/7-12/7 1/1-5/4-3/2-7/4 1/1-6/5-7/5-8/5 1/1-7/6-4/3-5/3
34 0-4-8-12 1-6/5-10/7-12/7 starling 1/1-6/5-10/7-12/7 1/1-6/5-10/7-5/3 1/1-6/5-7/5-5/3 1/1-7/6-7/5-5/3
35 0-5-8-12 1-5/4-10/7-12/7 keenanismic 1/1-5/4-10/7-12/7 1/1-8/7-11/8-8/5 1/1-6/5-7/5-7/4 1/1-7/6-16/11-5/3
36 0-2-9-12 1-11/10-3/2-12/7 utonal 1/1-11/10-3/2-12/7 1/1-11/8-11/7-11/6 1/1-8/7-4/3-16/11 1/1-7/6-14/11-7/4
37 0-4-9-12 1-6/5-3/2-12/7 utonal 1/1-6/5-3/2-12/7 1/1-5/4-10/7-5/3 1/1-8/7-4/3-8/5 1/1-7/6-7/5-7/4
38 0-5-9-12 1-5/4-3/2-12/7 keenanismic 1/1-5/4-3/2-12/7 1/1-6/5-11/8-8/5 1/1-8/7-4/3-5/3 1/1-7/6-16/11-7/4
39 0-7-9-12 1-11/8-3/2-12/7 zeus 1/1-11/8-3/2-12/7 1/1-11/10-5/4-16/11 1/1-8/7-4/3-11/6 1/1-7/6-8/5-7/4
40 0-2-10-12 1-11/10-11/7-12/7 biyatismic 1/1-11/10-11/7-12/7 1/1-10/7-11/7-11/6 1/1-11/10-14/11-7/5 1/1-7/6-14/11-11/6
41 0-3-10-12 1-8/7-11/7-12/7 otonal 1/1-8/7-11/7-12/7 1/1-11/8-3/2-7/4 1/1-11/10-14/11-16/11 1/1-7/6-4/3-11/6
42 0-5-10-12 1-5/4-11/7-12/7 zeus 1/1-5/4-11/7-12/7 1/1-5/4-11/8-8/5 1/1-11/10-14/11-8/5 1/1-7/6-16/11-11/6
43 0-7-10-12 1-11/8-11/7-12/7 zeus 1/1-11/8-11/7-12/7 1/1-8/7-5/4-16/11 1/1-11/10-14/11-7/4 1/1-7/6-8/5-11/6
44 0-8-10-12 1-10/7-11/7-12/7 otonal 1/1-10/7-11/7-12/7 1/1-11/10-6/5-7/5 1/1-11/10-14/11-11/6 1/1-7/6-5/3-11/6
45 0-2-4-13 1-11/10-6/5-9/5 otonal 1/1-11/10-6/5-9/5 1/1-11/10-18/11-11/6 1/1-3/2-5/3-11/6 1/1-10/9-11/9-4/3
46 0-2-5-13 1-11/10-5/4-9/5 thrush 1/1-11/10-5/4-9/5 1/1-8/7-18/11-11/6 1/1-10/7-8/5-7/4 1/1-10/9-11/9-7/5
47 0-3-5-13 1-8/7-5/4-9/5 thrush 1/1-8/7-5/4-9/5 1/1-11/10-11/7-7/4 1/1-10/7-8/5-11/6 1/1-10/9-14/11-7/5
48 0-3-8-13 1-8/7-10/7-9/5 thrush 1/1-8/7-10/7-9/5 1/1-5/4-11/7-7/4 1/1-5/4-7/5-8/5 1/1-10/9-14/11-8/5
49 0-4-8-13 1-6/5-10/7-9/5 starling 1/1-6/5-10/7-9/5 1/1-6/5-3/2-5/3 1/1-5/4-7/5-5/3 1/1-10/9-4/3-8/5
50 0-5-8-13 1-5/4-10/7-9/5 starling 1/1-5/4-10/7-9/5 1/1-8/7-10/7-8/5 1/1-5/4-7/5-7/4 1/1-10/9-7/5-8/5
51 0-2-9-13 1-11/10-3/2-9/5 biyatismic 1/1-11/10-3/2-9/5 1/1-11/8-18/11-11/6 1/1-6/5-4/3-16/11 1/1-10/9-11/9-5/3
52 0-4-9-13 1-6/5-3/2-9/5 ambitonal 1/1-6/5-3/2-9/5 1/1-5/4-3/2-5/3 1/1-6/5-4/3-8/5 1/1-10/9-4/3-5/3
53 0-5-9-13 1-5/4-3/2-9/5 starling 1/1-5/4-3/2-9/5 1/1-6/5-10/7-8/5 1/1-6/5-4/3-5/3 1/1-10/9-7/5-5/3
54 0-2-10-13 1-11/10-11/7-9/5 werckismic 1/1-11/10-11/7-9/5 1/1-10/7-18/11-11/6 1/1-8/7-14/11-7/5 1/1-10/9-11/9-7/4
55 0-3-10-13 1-8/7-11/7-9/5 werckismic 1/1-8/7-11/7-9/5 1/1-11/8-11/7-7/4 1/1-8/7-14/11-16/11 1/1-10/9-14/11-7/4
56 0-5-10-13 1-5/4-11/7-9/5 thrush 1/1-5/4-11/7-9/5 1/1-5/4-10/7-8/5 1/1-8/7-14/11-8/5 1/1-10/9-7/5-7/4
57 0-8-10-13 1-10/7-11/7-9/5 thrush 1/1-10/7-11/7-9/5 1/1-11/10-5/4-7/5 1/1-8/7-14/11-11/6 1/1-10/9-8/5-7/4
58 0-2-11-13 1-11/10-18/11-9/5 biyatismic 1/1-11/10-18/11-9/5 1/1-3/2-18/11-11/6 1/1-11/10-11/9-4/3 1/1-10/9-11/9-11/6
59 0-3-11-13 1-8/7-18/11-9/5 werckismic 1/1-8/7-18/11-9/5 1/1-10/7-11/7-7/4 1/1-11/10-11/9-7/5 1/1-10/9-14/11-11/6
60 0-4-11-13 1-6/5-18/11-9/5 biyatismic 1/1-6/5-18/11-9/5 1/1-11/8-3/2-5/3 1/1-11/10-11/9-16/11 1/1-10/9-4/3-11/6
61 0-8-11-13 1-10/7-18/11-9/5 thrush 1/1-10/7-18/11-9/5 1/1-8/7-5/4-7/5 1/1-11/10-11/9-7/4 1/1-10/9-8/5-11/6
62 0-9-11-13 1-3/2-18/11-9/5 utonal 1/1-3/2-18/11-9/5 1/1-11/10-6/5-4/3 1/1-11/10-11/9-11/6 1/1-10/9-5/3-11/6
63 0-5-7-18 1-5/4-11/8-9/8 otonal 1/1-9/8-5/4-11/8 1/1-10/9-11/9-16/9 1/1-11/10-8/5-9/5 1/1-16/11-18/11-11/6
64 0-5-8-18 1-5/4-10/7-9/8 werckismic 1/1-9/8-5/4-10/7 1/1-10/9-14/11-16/9 1/1-8/7-8/5-9/5 1/1-7/5-11/7-7/4
65 0-5-9-18 1-5/4-3/2-9/8 otonal 1/1-9/8-5/4-3/2 1/1-10/9-4/3-16/9 1/1-6/5-8/5-9/5 1/1-4/3-3/2-5/3
66 0-7-9-18 1-11/8-3/2-9/8 otonal 1/1-9/8-11/8-3/2 1/1-11/9-4/3-16/9 1/1-11/10-16/11-18/11 1/1-4/3-3/2-11/6
67 0-5-10-18 1-5/4-11/7-9/8 thrush 1/1-9/8-5/4-11/7 1/1-10/9-7/5-16/9 1/1-5/4-8/5-9/5 1/1-14/11-10/7-8/5
68 0-7-10-18 1-11/8-11/7-9/8 werckismic 1/1-9/8-11/8-11/7 1/1-11/9-7/5-16/9 1/1-8/7-16/11-18/11 1/1-14/11-10/7-7/4
69 0-8-10-18 1-10/7-11/7-9/8 werckismic 1/1-9/8-10/7-11/7 1/1-14/11-7/5-16/9 1/1-11/10-7/5-11/7 1/1-14/11-10/7-11/6
70 0-7-11-18 1-11/8-18/11-9/8 biyatismic 1/1-9/8-11/8-18/11 1/1-11/9-16/11-16/9 1/1-6/5-16/11-18/11 1/1-11/9-11/8-5/3
71 0-8-11-18 1-10/7-18/11-9/8 werckismic 1/1-9/8-10/7-18/11 1/1-14/11-16/11-16/9 1/1-8/7-7/5-11/7 1/1-11/9-11/8-7/4
72 0-9-11-18 1-3/2-18/11-9/8 utonal 1/1-9/8-3/2-18/11 1/1-4/3-16/11-16/9 1/1-11/10-4/3-3/2 1/1-11/9-11/8-11/6
73 0-5-13-18 1-5/4-9/5-9/8 starling 1/1-9/8-5/4-9/5 1/1-10/9-8/5-16/9 1/1-10/7-8/5-9/5 1/1-10/9-5/4-25/18
74 0-8-13-18 1-10/7-9/5-9/8 thrush 1/1-9/8-10/7-9/5 1/1-14/11-8/5-16/9 1/1-5/4-7/5-11/7 1/1-10/9-5/4-8/5
75 0-9-13-18 1-3/2-9/5-9/8 utonal 1/1-9/8-3/2-9/5 1/1-4/3-8/5-16/9 1/1-6/5-4/3-3/2 1/1-10/9-5/4-5/3
76 0-10-13-18 1-11/7-9/5-9/8 werckismic 1/1-9/8-11/7-9/5 1/1-7/5-8/5-16/9 1/1-8/7-14/11-10/7 1/1-10/9-5/4-7/4
77 0-11-13-18 1-18/11-9/5-9/8 utonal 1/1-9/8-18/11-9/5 1/1-16/11-8/5-16/9 1/1-11/10-11/9-11/8 1/1-10/9-5/4-11/6
78 0-3-8-21 1-8/7-10/7-9/7 otonal 1/1-8/7-9/7-10/7 1/1-9/8-5/4-7/4 1/1-10/9-14/9-16/9 1/1-7/5-8/5-9/5
79 0-3-10-21 1-8/7-11/7-9/7 otonal 1/1-8/7-9/7-11/7 1/1-9/8-11/8-7/4 1/1-11/9-14/9-16/9 1/1-14/11-16/11-18/11
80 0-8-10-21 1-10/7-11/7-9/7 otonal 1/1-9/7-10/7-11/7 1/1-10/9-11/9-14/9 1/1-11/10-7/5-9/5 1/1-14/11-18/11-11/6
81 0-3-11-21 1-8/7-18/11-9/7 werckismic 1/1-8/7-9/7-18/11 1/1-9/8-10/7-7/4 1/1-14/11-14/9-16/9 1/1-11/9-7/5-11/7
82 0-8-11-21 1-10/7-18/11-9/7 werckismic 1/1-9/7-10/7-18/11 1/1-10/9-14/11-14/9 1/1-8/7-7/5-9/5 1/1-11/9-11/7-7/4
83 0-9-11-21 1-3/2-18/11-9/7 utonal 1/1-9/7-3/2-18/11 1/1-7/6-14/11-14/9 1/1-11/10-4/3-12/7 1/1-11/9-11/7-11/6
84 0-3-12-21 1-8/7-12/7-9/7 otonal 1/1-8/7-9/7-12/7 1/1-9/8-3/2-7/4 1/1-4/3-14/9-16/9 1/1-7/6-4/3-3/2
85 0-8-12-21 1-10/7-12/7-9/7 otonal 1/1-9/7-10/7-12/7 1/1-10/9-4/3-14/9 1/1-6/5-7/5-9/5 1/1-7/6-3/2-5/3
86 0-9-12-21 1-3/2-12/7-9/7 ambitonal 1/1-9/7-3/2-12/7 1/1-7/6-4/3-14/9 1/1-8/7-4/3-12/7 1/1-7/6-3/2-7/4
87 0-10-12-21 1-11/7-12/7-9/7 otonal 1/1-9/7-11/7-12/7 1/1-11/9-4/3-14/9 1/1-11/10-14/11-18/11 1/1-7/6-3/2-11/6
88 0-3-13-21 1-8/7-9/5-9/7 werckismic 1/1-8/7-9/7-9/5 1/1-9/8-11/7-7/4 1/1-7/5-14/9-16/9 1/1-10/9-14/11-10/7
89 0-8-13-21 1-10/7-9/5-9/7 starling 1/1-9/7-10/7-9/5 1/1-10/9-7/5-14/9 1/1-5/4-7/5-9/5 1/1-10/9-10/7-8/5
90 0-9-13-21 1-3/2-9/5-9/7 utonal 1/1-9/7-3/2-9/5 1/1-7/6-7/5-14/9 1/1-6/5-4/3-12/7 1/1-10/9-10/7-5/3
91 0-10-13-21 1-11/7-9/5-9/7 werckismic 1/1-9/7-11/7-9/5 1/1-11/9-7/5-14/9 1/1-8/7-14/11-18/11 1/1-10/9-10/7-7/4
92 0-11-13-21 1-18/11-9/5-9/7 utonal 1/1-9/7-18/11-9/5 1/1-14/11-7/5-14/9 1/1-11/10-11/9-11/7 1/1-10/9-10/7-11/6
93 0-8-18-21 1-10/7-9/8-9/7 werckismic 1/1-9/8-9/7-10/7 1/1-8/7-14/11-16/9 1/1-10/9-14/9-7/4 1/1-7/5-11/7-9/5
94 0-9-18-21 1-3/2-9/8-9/7 utonal 1/1-9/8-9/7-3/2 1/1-8/7-4/3-16/9 1/1-7/6-14/9-7/4 1/1-4/3-3/2-12/7
95 0-10-18-21 1-11/7-9/8-9/7 werckismic 1/1-9/8-9/7-11/7 1/1-8/7-7/5-16/9 1/1-11/9-14/9-7/4 1/1-14/11-10/7-18/11
96 0-11-18-21 1-18/11-9/8-9/7 utonal 1/1-9/8-9/7-18/11 1/1-8/7-16/11-16/9 1/1-14/11-14/9-7/4 1/1-11/9-11/8-11/7
97 0-13-18-21 1-9/5-9/8-9/7 utonal 1/1-9/8-9/7-9/5 1/1-8/7-8/5-16/9 1/1-7/5-14/9-7/4 1/1-10/9-5/4-10/7

Pentads

# Chord Transversal Type As generated 1st inversion 2nd inversion 3rd inversion 4th inversion
1 0-2-4-7-9 1-11/10-6/5-11/8-3/2 zeus 1/1-11/10-6/5-11/8-3/2 1/1-11/10-5/4-11/8-11/6 1/1-8/7-5/4-5/3-11/6 1/1-11/10-16/11-8/5-7/4 1/1-4/3-16/11-8/5-11/6
2 0-2-5-7-9 1-11/10-5/4-11/8-3/2 zeus 1/1-11/10-5/4-11/8-3/2 1/1-8/7-5/4-11/8-11/6 1/1-11/10-6/5-8/5-7/4 1/1-11/10-16/11-8/5-11/6 1/1-4/3-16/11-5/3-11/6
3 0-2-5-7-10 1-11/10-5/4-11/8-11/7 valinorsmic 1/1-11/10-5/4-11/8-11/7 1/1-8/7-5/4-10/7-11/6 1/1-11/10-5/4-8/5-7/4 1/1-8/7-16/11-8/5-11/6 1/1-14/11-7/5-8/5-7/4
4 0-3-5-7-10 1-8/7-5/4-11/8-11/7 zeus 1/1-8/7-5/4-11/8-11/7 1/1-11/10-6/5-11/8-7/4 1/1-11/10-5/4-8/5-11/6 1/1-8/7-16/11-5/3-11/6 1/1-14/11-16/11-8/5-7/4
5 0-3-5-8-10 1-8/7-5/4-10/7-11/7 valinorsmic 1/1-8/7-5/4-10/7-11/7 1/1-11/10-5/4-11/8-7/4 1/1-8/7-5/4-8/5-11/6 1/1-11/10-7/5-8/5-7/4 1/1-14/11-16/11-8/5-11/6
6 0-2-4-7-11 1-11/10-6/5-11/8-18/11 zeus 1/1-11/10-6/5-11/8-18/11 1/1-11/10-5/4-3/2-11/6 1/1-8/7-11/8-5/3-11/6 1/1-6/5-16/11-8/5-7/4 1/1-11/9-4/3-16/11-5/3
7 0-2-4-9-11 1-11/10-6/5-3/2-18/11 biyatismic 1/1-11/10-6/5-3/2-18/11 1/1-11/10-11/8-3/2-11/6 1/1-5/4-11/8-5/3-11/6 1/1-11/10-4/3-16/11-8/5 1/1-11/9-4/3-16/11-11/6
8 0-2-7-9-11 1-11/10-11/8-3/2-18/11 biyatismic 1/1-11/10-11/8-3/2-18/11 1/1-5/4-11/8-3/2-11/6 1/1-11/10-6/5-16/11-8/5 1/1-11/10-4/3-16/11-11/6 1/1-11/9-4/3-5/3-11/6
9 0-4-7-9-11 1-6/5-11/8-3/2-18/11 zeus 1/1-6/5-11/8-3/2-18/11 1/1-8/7-5/4-11/8-5/3 1/1-11/10-6/5-16/11-7/4 1/1-11/10-4/3-8/5-11/6 1/1-11/9-16/11-5/3-11/6
10 0-2-4-7-12 1-11/10-6/5-11/8-12/7 zeus 1/1-11/10-6/5-11/8-12/7 1/1-11/10-5/4-11/7-11/6 1/1-8/7-10/7-5/3-11/6 1/1-5/4-16/11-8/5-7/4 1/1-7/6-14/11-7/5-8/5
11 0-2-5-7-12 1-11/10-5/4-11/8-12/7 zeus 1/1-11/10-5/4-11/8-12/7 1/1-8/7-5/4-11/7-11/6 1/1-11/10-11/8-8/5-7/4 1/1-5/4-16/11-8/5-11/6 1/1-7/6-14/11-16/11-8/5
12 0-3-5-7-12 1-8/7-5/4-11/8-12/7 zeus 1/1-8/7-5/4-11/8-12/7 1/1-11/10-6/5-3/2-7/4 1/1-11/10-11/8-8/5-11/6 1/1-5/4-16/11-5/3-11/6 1/1-7/6-4/3-16/11-8/5
13 0-3-5-8-12 1-8/7-5/4-10/7-12/7 zeus 1/1-8/7-5/4-10/7-12/7 1/1-11/10-5/4-3/2-7/4 1/1-8/7-11/8-8/5-11/6 1/1-6/5-7/5-8/5-7/4 1/1-7/6-4/3-16/11-5/3
14 0-2-4-9-12 1-11/10-6/5-3/2-12/7 utonal 1/1-11/10-6/5-3/2-12/7 1/1-11/10-11/8-11/7-11/6 1/1-5/4-10/7-5/3-11/6 1/1-8/7-4/3-16/11-8/5 1/1-7/6-14/11-7/5-7/4
15 0-2-5-9-12 1-11/10-5/4-3/2-12/7 zeus 1/1-11/10-5/4-3/2-12/7 1/1-8/7-11/8-11/7-11/6 1/1-6/5-11/8-8/5-7/4 1/1-8/7-4/3-16/11-5/3 1/1-7/6-14/11-16/11-7/4
16 0-2-7-9-12 1-11/10-11/8-3/2-12/7 zeus 1/1-11/10-11/8-3/2-12/7 1/1-5/4-11/8-11/7-11/6 1/1-11/10-5/4-16/11-8/5 1/1-8/7-4/3-16/11-11/6 1/1-7/6-14/11-8/5-7/4
17 0-4-7-9-12 1-6/5-11/8-3/2-12/7 zeus 1/1-6/5-11/8-3/2-12/7 1/1-8/7-5/4-10/7-5/3 1/1-11/10-5/4-16/11-7/4 1/1-8/7-4/3-8/5-11/6 1/1-7/6-7/5-8/5-7/4
18 0-5-7-9-12 1-5/4-11/8-3/2-12/7 zeus 1/1-5/4-11/8-3/2-12/7 1/1-11/10-6/5-11/8-8/5 1/1-11/10-5/4-16/11-11/6 1/1-8/7-4/3-5/3-11/6 1/1-7/6-16/11-8/5-7/4
19 0-2-5-10-12 1-11/10-5/4-11/7-12/7 zeus 1/1-11/10-5/4-11/7-12/7 1/1-8/7-10/7-11/7-11/6 1/1-5/4-11/8-8/5-7/4 1/1-11/10-14/11-7/5-8/5 1/1-7/6-14/11-16/11-11/6
20 0-3-5-10-12 1-8/7-5/4-11/7-12/7 zeus 1/1-8/7-5/4-11/7-12/7 1/1-11/10-11/8-3/2-7/4 1/1-5/4-11/8-8/5-11/6 1/1-11/10-14/11-16/11-8/5 1/1-7/6-4/3-16/11-11/6
21 0-2-7-10-12 1-11/10-11/8-11/7-12/7 zeus 1/1-11/10-11/8-11/7-12/7 1/1-5/4-10/7-11/7-11/6 1/1-8/7-5/4-16/11-8/5 1/1-11/10-14/11-7/5-7/4 1/1-7/6-14/11-8/5-11/6
22 0-3-7-10-12 1-8/7-11/8-11/7-12/7 zeus 1/1-8/7-11/8-11/7-12/7 1/1-6/5-11/8-3/2-7/4 1/1-8/7-5/4-16/11-5/3 1/1-11/10-14/11-16/11-7/4 1/1-7/6-4/3-8/5-11/6
23 0-5-7-10-12 1-5/4-11/8-11/7-12/7 zeus 1/1-5/4-11/8-11/7-12/7 1/1-11/10-5/4-11/8-8/5 1/1-8/7-5/4-16/11-11/6 1/1-11/10-14/11-8/5-7/4 1/1-7/6-16/11-8/5-11/6
24 0-3-8-10-12 1-8/7-10/7-11/7-12/7 otonal 1/1-8/7-10/7-11/7-12/7 1/1-5/4-11/8-3/2-7/4 1/1-11/10-6/5-7/5-8/5 1/1-11/10-14/11-16/11-11/6 1/1-7/6-4/3-5/3-11/6
25 0-5-8-10-12 1-5/4-10/7-11/7-12/7 zeus 1/1-5/4-10/7-11/7-12/7 1/1-8/7-5/4-11/8-8/5 1/1-11/10-6/5-7/5-7/4 1/1-11/10-14/11-8/5-11/6 1/1-7/6-16/11-5/3-11/6
26 0-3-5-8-13 1-8/7-5/4-10/7-9/5 thrush 1/1-8/7-5/4-10/7-9/5 1/1-11/10-5/4-11/7-7/4 1/1-8/7-10/7-8/5-11/6 1/1-5/4-7/5-8/5-7/4 1/1-10/9-14/11-7/5-8/5
27 0-2-4-9-13 1-11/10-6/5-3/2-9/5 biyatismic 1/1-11/10-6/5-3/2-9/5 1/1-11/10-11/8-18/11-11/6 1/1-5/4-3/2-5/3-11/6 1/1-6/5-4/3-16/11-8/5 1/1-10/9-11/9-4/3-5/3
28 0-2-5-9-13 1-11/10-5/4-3/2-9/5 valentine 1/1-11/10-5/4-3/2-9/5 1/1-8/7-11/8-18/11-11/6 1/1-6/5-10/7-8/5-7/4 1/1-6/5-4/3-16/11-5/3 1/1-10/9-11/9-7/5-5/3
29 0-2-5-10-13 1-11/10-5/4-11/7-9/5 thrush 1/1-11/10-5/4-11/7-9/5 1/1-8/7-10/7-18/11-11/6 1/1-5/4-10/7-8/5-7/4 1/1-8/7-14/11-7/5-8/5 1/1-10/9-11/9-7/5-7/4
30 0-3-5-10-13 1-8/7-5/4-11/7-9/5 thrush 1/1-8/7-5/4-11/7-9/5 1/1-11/10-11/8-11/7-7/4 1/1-5/4-10/7-8/5-11/6 1/1-8/7-14/11-16/11-8/5 1/1-10/9-14/11-7/5-7/4
31 0-3-8-10-13 1-8/7-10/7-11/7-9/5 thrush 1/1-8/7-10/7-11/7-9/5 1/1-5/4-11/8-11/7-7/4 1/1-11/10-5/4-7/5-8/5 1/1-8/7-14/11-16/11-11/6 1/1-10/9-14/11-8/5-7/4
32 0-5-8-10-13 1-5/4-10/7-11/7-9/5 thrush 1/1-5/4-10/7-11/7-9/5 1/1-8/7-5/4-10/7-8/5 1/1-11/10-5/4-7/5-7/4 1/1-8/7-14/11-8/5-11/6 1/1-10/9-7/5-8/5-7/4
33 0-2-4-11-13 1-11/10-6/5-18/11-9/5 biyatismic 1/1-11/10-6/5-18/11-9/5 1/1-11/10-3/2-18/11-11/6 1/1-11/8-3/2-5/3-11/6 1/1-11/10-11/9-4/3-16/11 1/1-10/9-11/9-4/3-11/6
34 0-3-8-11-13 1-8/7-10/7-18/11-9/5 thrush 1/1-8/7-10/7-18/11-9/5 1/1-5/4-10/7-11/7-7/4 1/1-8/7-5/4-7/5-8/5 1/1-11/10-11/9-7/5-7/4 1/1-10/9-14/11-8/5-11/6
35 0-4-8-11-13 1-6/5-10/7-18/11-9/5 valentine 1/1-6/5-10/7-18/11-9/5 1/1-6/5-11/8-3/2-5/3 1/1-8/7-5/4-7/5-5/3 1/1-11/10-11/9-16/11-7/4 1/1-10/9-4/3-8/5-11/6
36 0-2-9-11-13 1-11/10-3/2-18/11-9/5 biyatismic 1/1-11/10-3/2-18/11-9/5 1/1-11/8-3/2-18/11-11/6 1/1-11/10-6/5-4/3-16/11 1/1-11/10-11/9-4/3-11/6 1/1-10/9-11/9-5/3-11/6
37 0-4-9-11-13 1-6/5-3/2-18/11-9/5 biyatismic 1/1-6/5-3/2-18/11-9/5 1/1-5/4-11/8-3/2-5/3 1/1-11/10-6/5-4/3-8/5 1/1-11/10-11/9-16/11-11/6 1/1-10/9-4/3-5/3-11/6
38 0-5-7-9-18 1-5/4-11/8-3/2-9/8 otonal 1/1-9/8-5/4-11/8-3/2 1/1-10/9-11/9-4/3-16/9 1/1-11/10-6/5-8/5-9/5 1/1-11/10-16/11-18/11-11/6 1/1-4/3-3/2-5/3-11/6
39 0-5-7-10-18 1-5/4-11/8-11/7-9/8 thrush 1/1-9/8-5/4-11/8-11/7 1/1-10/9-11/9-7/5-16/9 1/1-11/10-5/4-8/5-9/5 1/1-8/7-16/11-18/11-11/6 1/1-14/11-10/7-8/5-7/4
40 0-5-8-10-18 1-5/4-10/7-11/7-9/8 thrush 1/1-9/8-5/4-10/7-11/7 1/1-10/9-14/11-7/5-16/9 1/1-8/7-5/4-8/5-9/5 1/1-11/10-7/5-11/7-7/4 1/1-14/11-10/7-8/5-11/6
41 0-7-9-11-18 1-11/8-3/2-18/11-9/8 biyatismic 1/1-9/8-11/8-3/2-18/11 1/1-11/9-4/3-16/11-16/9 1/1-11/10-6/5-16/11-18/11 1/1-11/10-4/3-3/2-11/6 1/1-11/9-11/8-5/3-11/6
42 0-5-8-13-18 1-5/4-10/7-9/5-9/8 thrush 1/1-9/8-5/4-10/7-9/5 1/1-10/9-14/11-8/5-16/9 1/1-8/7-10/7-8/5-9/5 1/1-5/4-7/5-11/7-7/4 1/1-10/9-5/4-7/5-8/5
43 0-5-9-13-18 1-5/4-3/2-9/5-9/8 starling 1/1-9/8-5/4-3/2-9/5 1/1-10/9-4/3-8/5-16/9 1/1-6/5-10/7-8/5-9/5 1/1-6/5-4/3-3/2-5/3 1/1-10/9-5/4-7/5-5/3
44 0-5-10-13-18 1-5/4-11/7-9/5-9/8 thrush 1/1-9/8-5/4-11/7-9/5 1/1-10/9-7/5-8/5-16/9 1/1-5/4-10/7-8/5-9/5 1/1-8/7-14/11-10/7-8/5 1/1-10/9-5/4-7/5-7/4
45 0-8-10-13-18 1-10/7-11/7-9/5-9/8 thrush 1/1-9/8-10/7-11/7-9/5 1/1-14/11-7/5-8/5-16/9 1/1-11/10-5/4-7/5-11/7 1/1-8/7-14/11-10/7-11/6 1/1-10/9-5/4-8/5-7/4
46 0-8-11-13-18 1-10/7-18/11-9/5-9/8 thrush 1/1-9/8-10/7-18/11-9/5 1/1-14/11-16/11-8/5-16/9 1/1-8/7-5/4-7/5-11/7 1/1-11/10-11/9-11/8-7/4 1/1-10/9-5/4-8/5-11/6
47 0-9-11-13-18 1-3/2-18/11-9/5-9/8 utonal 1/1-9/8-3/2-18/11-9/5 1/1-4/3-16/11-8/5-16/9 1/1-11/10-6/5-4/3-3/2 1/1-11/10-11/9-11/8-11/6 1/1-10/9-5/4-5/3-11/6
48 0-3-8-10-21 1-8/7-10/7-11/7-9/7 otonal 1/1-8/7-9/7-10/7-11/7 1/1-9/8-5/4-11/8-7/4 1/1-10/9-11/9-14/9-16/9 1/1-11/10-7/5-8/5-9/5 1/1-14/11-16/11-18/11-11/6
49 0-3-8-11-21 1-8/7-10/7-18/11-9/7 werckismic 1/1-8/7-9/7-10/7-18/11 1/1-9/8-5/4-10/7-7/4 1/1-10/9-14/11-14/9-16/9 1/1-8/7-7/5-8/5-9/5 1/1-11/9-7/5-11/7-7/4
50 0-3-8-12-21 1-8/7-10/7-12/7-9/7 otonal 1/1-8/7-9/7-10/7-12/7 1/1-9/8-5/4-3/2-7/4 1/1-10/9-4/3-14/9-16/9 1/1-6/5-7/5-8/5-9/5 1/1-7/6-4/3-3/2-5/3
51 0-3-10-12-21 1-8/7-11/7-12/7-9/7 otonal 1/1-8/7-9/7-11/7-12/7 1/1-9/8-11/8-3/2-7/4 1/1-11/9-4/3-14/9-16/9 1/1-11/10-14/11-16/11-18/11 1/1-7/6-4/3-3/2-11/6
52 0-8-10-12-21 1-10/7-11/7-12/7-9/7 otonal 1/1-9/7-10/7-11/7-12/7 1/1-10/9-11/9-4/3-14/9 1/1-11/10-6/5-7/5-9/5 1/1-11/10-14/11-18/11-11/6 1/1-7/6-3/2-5/3-11/6
53 0-3-8-13-21 1-8/7-10/7-9/5-9/7 thrush 1/1-8/7-9/7-10/7-9/5 1/1-9/8-5/4-11/7-7/4 1/1-10/9-7/5-14/9-16/9 1/1-5/4-7/5-8/5-9/5 1/1-10/9-14/11-10/7-8/5
54 0-3-10-13-21 1-8/7-11/7-9/5-9/7 werckismic 1/1-8/7-9/7-11/7-9/5 1/1-9/8-11/8-11/7-7/4 1/1-11/9-7/5-14/9-16/9 1/1-8/7-14/11-16/11-18/11 1/1-10/9-14/11-10/7-7/4
55 0-8-10-13-21 1-10/7-11/7-9/5-9/7 thrush 1/1-9/7-10/7-11/7-9/5 1/1-10/9-11/9-7/5-14/9 1/1-11/10-5/4-7/5-9/5 1/1-8/7-14/11-18/11-11/6 1/1-10/9-10/7-8/5-7/4
56 0-3-11-13-21 1-8/7-18/11-9/5-9/7 werckismic 1/1-8/7-9/7-18/11-9/5 1/1-9/8-10/7-11/7-7/4 1/1-14/11-7/5-14/9-16/9 1/1-11/10-11/9-7/5-11/7 1/1-10/9-14/11-10/7-11/6
57 0-8-11-13-21 1-10/7-18/11-9/5-9/7 thrush 1/1-9/7-10/7-18/11-9/5 1/1-10/9-14/11-7/5-14/9 1/1-8/7-5/4-7/5-9/5 1/1-11/10-11/9-11/7-7/4 1/1-10/9-10/7-8/5-11/6
58 0-9-11-13-21 1-3/2-18/11-9/5-9/7 utonal 1/1-9/7-3/2-18/11-9/5 1/1-7/6-14/11-7/5-14/9 1/1-11/10-6/5-4/3-12/7 1/1-11/10-11/9-11/7-11/6 1/1-10/9-10/7-5/3-11/6
59 0-8-10-18-21 1-10/7-11/7-9/8-9/7 werckismic 1/1-9/8-9/7-10/7-11/7 1/1-8/7-14/11-7/5-16/9 1/1-10/9-11/9-14/9-7/4 1/1-11/10-7/5-11/7-9/5 1/1-14/11-10/7-18/11-11/6
60 0-8-11-18-21 1-10/7-18/11-9/8-9/7 werckismic 1/1-9/8-9/7-10/7-18/11 1/1-8/7-14/11-16/11-16/9 1/1-10/9-14/11-14/9-7/4 1/1-8/7-7/5-11/7-9/5 1/1-11/9-11/8-11/7-7/4
61 0-9-11-18-21 1-3/2-18/11-9/8-9/7 utonal 1/1-9/8-9/7-3/2-18/11 1/1-8/7-4/3-16/11-16/9 1/1-7/6-14/11-14/9-7/4 1/1-11/10-4/3-3/2-12/7 1/1-11/9-11/8-11/7-11/6
62 0-8-13-18-21 1-10/7-9/5-9/8-9/7 thrush 1/1-9/8-9/7-10/7-9/5 1/1-8/7-14/11-8/5-16/9 1/1-10/9-7/5-14/9-7/4 1/1-5/4-7/5-11/7-9/5 1/1-10/9-5/4-10/7-8/5
63 0-9-13-18-21 1-3/2-9/5-9/8-9/7 utonal 1/1-9/8-9/7-3/2-9/5 1/1-8/7-4/3-8/5-16/9 1/1-7/6-7/5-14/9-7/4 1/1-6/5-4/3-3/2-12/7 1/1-10/9-5/4-10/7-5/3
64 0-10-13-18-21 1-11/7-9/5-9/8-9/7 werckismic 1/1-9/8-9/7-11/7-9/5 1/1-8/7-7/5-8/5-16/9 1/1-11/9-7/5-14/9-7/4 1/1-8/7-14/11-10/7-18/11 1/1-10/9-5/4-10/7-7/4
65 0-11-13-18-21 1-18/11-9/5-9/8-9/7 utonal 1/1-9/8-9/7-18/11-9/5 1/1-8/7-16/11-8/5-16/9 1/1-14/11-7/5-14/9-7/4 1/1-11/10-11/9-11/8-11/7 1/1-10/9-5/4-10/7-11/6

Hexads

# Chord Transversal Type As generated 1st inversion 2nd inversion 3rd inversion 4th inversion 5th inversion
1 0-2-4-7-9-11 1-11/10-6/5-11/8-3/2-18/11 zeus 1/1-11/10-6/5-11/8-3/2-18/11 1/1-11/10-5/4-11/8-3/2-11/9 1/1-8/7-5/4-11/8-5/3-11/6 1/1-11/10-6/5-16/11-8/5-7/4 1/1-11/10-4/3-16/11-8/5-11/6 1/1-11/9-4/3-16/11-5/3-11/6
2 0-2-4-7-9-12 1-11/10-6/5-11/8-3/2-12/7 zeus 1/1-11/10-6/5-11/8-3/2-12/7 1/1-11/10-5/4-11/8-11/7-7/6 1/1-8/7-5/4-10/7-5/3-11/6 1/1-11/10-5/4-16/11-8/5-7/4 1/1-8/7-4/3-16/11-8/5-11/6 1/1-7/6-14/11-7/5-8/5-7/4
3 0-2-5-7-9-12 1-11/10-5/4-11/8-3/2-12/7 zeus 1/1-11/10-5/4-11/8-3/2-12/7 1/1-8/7-5/4-11/8-11/7-7/6 1/1-11/10-6/5-11/8-8/5-7/4 1/1-11/10-5/4-16/11-8/5-11/6 1/1-8/7-4/3-16/11-5/3-11/6 1/1-7/6-14/11-16/11-8/5-7/4
4 0-2-5-7-10-12 1-11/10-5/4-11/8-11/7-12/7 zeus 1/1-11/10-5/4-11/8-11/7-12/7 1/1-8/7-5/4-10/7-11/7-7/6 1/1-11/10-5/4-11/8-8/5-7/4 1/1-8/7-5/4-16/11-8/5-11/6 1/1-11/10-14/11-7/5-8/5-7/4 1/1-7/6-14/11-16/11-8/5-11/6
5 0-3-5-7-10-12 1-8/7-5/4-11/8-11/7-12/7 zeus 1/1-8/7-5/4-11/8-11/7-12/7 1/1-11/10-6/5-11/8-3/2-7/6 1/1-11/10-5/4-11/8-8/5-11/6 1/1-8/7-5/4-16/11-5/3-11/6 1/1-11/10-14/11-16/11-8/5-7/4 1/1-7/6-4/3-16/11-8/5-11/6
6 0-3-5-8-10-12 1-8/7-5/4-10/7-11/7-12/7 zeus 1/1-8/7-5/4-10/7-11/7-12/7 1/1-11/10-5/4-11/8-3/2-7/6 1/1-8/7-5/4-11/8-8/5-11/6 1/1-11/10-6/5-7/5-8/5-7/4 1/1-11/10-14/11-16/11-8/5-11/6 1/1-7/6-4/3-16/11-5/3-11/6
7 0-3-5-8-10-13 1-8/7-5/4-10/7-11/7-9/5 thrush 1/1-8/7-5/4-10/7-11/7-9/5 1/1-11/10-5/4-11/8-11/7-10/9 1/1-8/7-5/4-10/7-8/5-11/6 1/1-11/10-5/4-7/5-8/5-7/4 1/1-8/7-14/11-16/11-8/5-11/6 1/1-10/9-14/11-7/5-8/5-7/4
8 0-2-4-9-11-13 1-11/10-6/5-3/2-18/11-9/5 biyatismic 1/1-11/10-6/5-3/2-18/11-9/5 1/1-11/10-11/8-3/2-18/11-10/9 1/1-5/4-11/8-3/2-5/3-11/6 1/1-11/10-6/5-4/3-16/11-8/5 1/1-11/10-11/9-4/3-16/11-11/6 1/1-10/9-11/9-4/3-5/3-11/6
9 0-5-8-10-13-18 1-5/4-10/7-11/7-9/5-9/8 thrush 1/1-9/8-5/4-10/7-11/7-9/5 1/1-10/9-14/11-7/5-8/5-10/9 1/1-8/7-5/4-10/7-8/5-9/5 1/1-11/10-5/4-7/5-11/7-7/4 1/1-8/7-14/11-10/7-8/5-11/6 1/1-10/9-5/4-7/5-8/5-7/4
10 0-3-8-10-12-21 1-8/7-10/7-11/7-12/7-9/7 otonal 1/1-8/7-9/7-10/7-11/7-12/7 1/1-9/8-5/4-11/8-3/2-7/6 1/1-10/9-11/9-4/3-14/9-16/9 1/1-11/10-6/5-7/5-8/5-9/5 1/1-11/10-14/11-16/11-18/11-11/6 1/1-7/6-4/3-3/2-5/3-11/6
11 0-3-8-10-13-21 1-8/7-10/7-11/7-9/5-9/7 thrush 1/1-8/7-9/7-10/7-11/7-9/5 1/1-9/8-5/4-11/8-11/7-10/9 1/1-10/9-11/9-7/5-14/9-16/9 1/1-11/10-5/4-7/5-8/5-9/5 1/1-8/7-14/11-16/11-18/11-11/6 1/1-10/9-14/11-10/7-8/5-7/4
12 0-3-8-11-13-21 1-8/7-10/7-18/11-9/5-9/7 thrush 1/1-8/7-9/7-10/7-18/11-9/5 1/1-9/8-5/4-10/7-11/7-10/9 1/1-10/9-14/11-7/5-14/9-16/9 1/1-8/7-5/4-7/5-8/5-9/5 1/1-11/10-11/9-7/5-11/7-7/4 1/1-10/9-14/11-10/7-8/5-11/6
13 0-8-10-13-18-21 1-10/7-11/7-9/5-9/8-9/7 thrush 1/1-9/8-9/7-10/7-11/7-9/5 1/1-8/7-14/11-7/5-8/5-10/9 1/1-10/9-11/9-7/5-14/9-7/4 1/1-11/10-5/4-7/5-11/7-9/5 1/1-8/7-14/11-10/7-18/11-11/6 1/1-10/9-5/4-10/7-8/5-7/4
14 0-8-11-13-18-21 1-10/7-18/11-9/5-9/8-9/7 thrush 1/1-9/8-9/7-10/7-18/11-9/5 1/1-8/7-14/11-16/11-8/5-10/9 1/1-10/9-14/11-7/5-14/9-7/4 1/1-8/7-5/4-7/5-11/7-9/5 1/1-11/10-11/9-11/8-11/7-7/4 1/1-10/9-5/4-10/7-8/5-11/6
15 0-9-11-13-18-21 1-3/2-18/11-9/5-9/8-9/7 utonal 1/1-9/8-9/7-3/2-18/11-9/5 1/1-8/7-4/3-16/11-8/5-10/9 1/1-7/6-14/11-7/5-14/9-7/4 1/1-11/10-6/5-4/3-3/2-12/7 1/1-11/10-11/9-11/8-11/7-11/6 1/1-10/9-5/4-10/7-5/3-11/6
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