Valentine/Chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-12-27 15:42:51 UTC</tt>.<br>
: The original revision id was <tt>288591202</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%20temperament-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, 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 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. Because [[Carlos Alpha]] is the generator chain of valentine in the tuning with pure 3/2's, 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.
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. Because [[Carlos_Alpha|Carlos Alpha]] is the generator chain of valentine in the tuning with pure 3/2's, 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.
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.


=Triads=  
=Triads=
|| Number || Chord || Transversal || Type ||
|| 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=
{| class="wikitable"
|| Number || Chord || Transversal || Type ||
|-
|| 1 || 0-2-4-7 || 1-11/10-6/5-11/8 || zeus ||
| | Number
|| 2 || 0-2-5-7 || 1-11/10-5/4-11/8 || valinorsmic ||
| | Chord
|| 3 || 0-3-5-7 || 1-8/7-5/4-11/8 || zeus ||
| | Transversal
|| 4 || 0-3-5-8 || 1-8/7-5/4-10/7 || valinorsmic ||
| | Type
|| 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 ||
| | 1
|| 7 || 0-2-7-9 || 1-11/10-11/8-3/2 || biyatismic ||
| | 0-2-4
|| 8 || 0-4-7-9 || 1-6/5-11/8-3/2 || zeus ||
| | 1-11/10-6/5
|| 9 || 0-5-7-9 || 1-5/4-11/8-3/2 || otonal ||
| | 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 ||
| | 2
|| 12 || 0-2-7-10 || 1-11/10-11/8-11/7 || utonal ||
| | 0-2-5
|| 13 || 0-3-7-10 || 1-8/7-11/8-11/7 || keenanismic ||
| | 1-11/10-5/4
|| 14 || 0-5-7-10 || 1-5/4-11/8-11/7 || valinorsmic ||
| | 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 ||
| | 3
|| 17 || 0-2-4-11 || 1-11/10-6/5-18/11 || biyatismic ||
| | 0-3-5
|| 18 || 0-2-7-11 || 1-11/10-11/8-18/11 || biyatismic ||
| | 1-8/7-5/4
|| 19 || 0-3-7-11 || 1-8/7-11/8-18/11 || valentine ||
| | valinorsmic
|| 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 ||
| | 4
|| 22 || 0-4-8-11 || 1-6/5-10/7-18/11 || valentine ||
| | 0-2-7
|| 23 || 0-2-9-11 || 1-12/11-3/2-18/11 || ambitonal ||
| | 1-11/10-11/8
|| 24 || 0-4-9-11 || 1-6/5-3/2-18/11 || biyatismic ||
| | utonal
|| 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 ||
| | 5
|| 27 || 0-2-5-12 || 1-11/10-5/4-12/7 || zeus ||
| | 0-3-7
|| 28 || 0-3-5-12 || 1-8/7-5/4-12/7 || zeus ||
| | 1-8/7-11/8
|| 29 || 0-2-7-12 || 1-11/10-11/8-12/7 || zeus ||
| | keenanismic
|| 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 ||
| | 6
|| 32 || 0-5-7-12 || 1-5/4-11/8-12/7 || keenanismic ||
| | 0-4-7
|| 33 || 0-3-8-12 || 1-8/7-10/7-12/7 || otonal ||
| | 1-6/5-11/8
|| 34 || 0-4-8-12 || 1-6/5-10/7-12/7 || starling ||
| | keenanismic
|| 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 ||
| | 7
|| 37 || 0-4-9-12 || 1-6/5-3/2-12/7 || utonal ||
| | 0-5-7
|| 38 || 0-5-9-12 || 1-5/4-3/2-12/7 || keenanismic ||
| | 1-5/4-11/8
|| 39 || 0-7-9-12 || 1-11/8-3/2-12/7 || zeus ||
| | otonal
|| 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 ||
| | 8
|| 42 || 0-5-10-12 || 1-5/4-11/7-12/7 || zeus ||
| | 0-3-8
|| 43 || 0-7-10-12 || 1-11/8-11/7-12/7 || zeus ||
| | 1-8/7-10/7
|| 44 || 0-8-10-12 || 1-10/7-11/7-12/7 || otonal ||
| | 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 ||
| | 9
|| 47 || 0-3-5-13 || 1-8/7-5/4-9/5 || thrush ||
| | 0-4-8
|| 48 || 0-3-8-13 || 1-8/7-10/7-9/5 || thrush ||
| | 1-6/5-10/7
|| 49 || 0-4-8-13 || 1-6/5-10/7-9/5 || starling ||
| | 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 ||
| | 10
|| 52 || 0-4-9-13 || 1-6/5-3/2-9/5 || ambitonal ||
| | 0-5-8
|| 53 || 0-5-9-13 || 1-5/4-3/2-9/5 || starling ||
| | 1-5/4-10/7
|| 54 || 0-2-10-13 || 1-11/10-11/7-9/5 || werckismic ||
| | utonal
|| 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 ||
| | 11
|| 57 || 0-8-10-13 || 1-10/7-11/7-9/5 || thrush ||
| | 0-2-9
|| 58 || 0-2-11-13 || 1-11/10-18/11-9/5 || biyatismic ||
| | 1-12/11-3/2
|| 59 || 0-3-11-13 || 1-8/7-18/11-9/5 || werckismic ||
| | utonal
|| 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 ||
| | 12
|| 62 || 0-9-11-13 || 1-3/2-18/11-9/5 || utonal ||
| | 0-4-9
|| 63 || 0-5-7-18 || 1-5/4-11/8-9/8 || otonal ||
| | 1-6/5-3/2
|| 64 || 0-5-8-18 || 1-5/4-10/7-9/8 || werckismic ||
| | utonal
|| 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 ||
| | 13
|| 67 || 0-5-10-18 || 1-5/4-11/7-9/8 || thrush ||
| | 0-5-9
|| 68 || 0-7-10-18 || 1-11/8-11/7-9/8 || werckismic ||
| | 1-5/4-3/2
|| 69 || 0-8-10-18 || 1-10/7-11/7-9/8 || werckismic ||
| | otonal
|| 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 ||
| | 14
|| 72 || 0-9-11-18 || 1-3/2-18/11-9/8 || utonal ||
| | 0-7-9
|| 73 || 0-5-13-18 || 1-5/4-9/5-9/8 || starling ||
| | 1-11/8-3/2
|| 74 || 0-8-13-18 || 1-10/7-9/5-9/8 || thrush ||
| | otonal
|| 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 ||
| | 15
|| 77 || 0-11-13-18 || 1-18/11-9/5-9/8 || utonal ||
| | 0-2-10
|| 78 || 0-3-8-21 || 1-8/7-10/7-9/7 || otonal ||
| | 1-11/10-11/7
|| 79 || 0-3-10-21 || 1-8/7-11/7-9/7 || otonal ||
| | utonal
|| 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 ||
| | 16
|| 82 || 0-8-11-21 || 1-10/7-18/11-9/7 || werckismic ||
| | 0-3-10
|| 83 || 0-9-11-21 || 1-3/2-18/11-9/7 || utonal ||
| | 1-8/7-11/7
|| 84 || 0-3-12-21 || 1-8/7-12/7-9/7 || otonal ||
| | 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 ||
| | 17
|| 87 || 0-10-12-21 || 1-11/7-12/7-9/7 || otonal ||
| | 0-5-10
|| 88 || 0-3-13-21 || 1-8/7-9/5-9/7 || werckismic ||
| | 1-5/4-11/7
|| 89 || 0-8-13-21 || 1-10/7-9/5-9/7 || starling ||
| | valinorsmic
|| 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 ||
| | 18
|| 92 || 0-11-13-21 || 1-18/11-9/5-9/7 || utonal ||
| | 0-7-10
|| 93 || 0-8-18-21 || 1-10/7-9/8-9/7 || werckismic ||
| | 1-11/8-11/7
|| 94 || 0-9-18-21 || 1-3/2-9/8-9/7 || utonal ||
| | 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 ||
| | 19
|| 97 || 0-13-18-21 || 1-9/5-9/8-9/7 || utonal ||
| | 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
|}


=Pentads=  
=Tetrads=
|| Number || Chord || Transversal || Type ||
|| 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=
{| class="wikitable"
|| Number || Chord || Transversal || Type ||
|-
|| 1 || 0-2-4-7-9-11 || 1-11/10-6/5-11/8-3/2-18/11 || zeus ||
| | Number
|| 2 || 0-2-4-7-9-12 || 1-11/10-6/5-11/8-3/2-12/7 || zeus ||
| | Chord
|| 3 || 0-2-5-7-9-12 || 1-11/10-5/4-11/8-3/2-12/7 || zeus ||
| | Transversal
|| 4 || 0-2-5-7-10-12 || 1-11/10-5/4-11/8-11/7-12/7 || zeus ||
| | Type
|| 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 ||
| | 1
|| 7 || 0-3-5-8-10-13 || 1-8/7-5/4-10/7-11/7-9/5 || thrush ||
| | 0-2-4-7
|| 8 || 0-2-4-9-11-13 || 1-11/10-6/5-3/2-18/11-9/5 || biyatismic ||
| | 1-11/10-6/5-11/8
|| 9 || 0-5-8-10-13-18 || 1-5/4-10/7-11/7-9/5-9/8 || thrush ||
| | zeus
|| 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 ||
| | 2
|| 12 || 0-3-8-11-13-21 || 1-8/7-10/7-18/11-9/5-9/7 || thrush ||
| | 0-2-5-7
|| 13 || 0-8-10-13-18-21 || 1-10/7-11/7-9/5-9/8-9/7 || thrush ||
| | 1-11/10-5/4-11/8
|| 14 || 0-8-11-13-18-21 || 1-10/7-18/11-9/5-9/8-9/7 || thrush ||
| | valinorsmic
|| 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>
| | 3
<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%20temperament-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;
| | 0-3-5-7
&lt;br /&gt;
| | 1-8/7-5/4-11/8
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;
| | zeus
&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. Because &lt;a class="wiki_link" href="/Carlos%20Alpha"&gt;Carlos Alpha&lt;/a&gt; is the generator chain of valentine in the tuning with pure 3/2's, 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 &amp;quot;chord&amp;quot; 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.&lt;br /&gt;
| | 4
&lt;br /&gt;
| | 0-3-5-8
In other words, each chord here has an unlimited number of &amp;quot;voicings&amp;quot; in valentine temperament, but exactly one voicing in Carlos Alpha, because there are no octaves.&lt;br /&gt;
| | 1-8/7-5/4-10/7
&lt;br /&gt;
| | valinorsmic
&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;
|-
| | 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
|}


&lt;table class="wiki_table"&gt;
=Pentads=
    &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;
{| class="wikitable"
&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;
|-
| | Number
| | Chord
| | Transversal
| | Type
|-
| | 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
|}


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

Revision as of 00:00, 17 July 2018

Below are listed the 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 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.

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. Because Carlos Alpha is the generator chain of valentine in the tuning with pure 3/2's, 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.

Triads

Number Chord Transversal Type
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

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

Number Chord Transversal Type
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

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