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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. <span style="background-color: #ffffff;">Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. 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.</span> If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 100/99 ptolemismic, by 121/120 biyatismic, 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, 100/99 and 385/384 tempered chords are supermagic, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-08-03 19:40:39 UTC</tt>.<br>
: The original revision id was <tt>356273476</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 [[Porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. &lt;span style="background-color: #ffffff;"&gt;Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. 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.&lt;/span&gt; If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 100/99 ptolemismic, by 121/120 biyatismic, 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, 100/99 and 385/384 tempered chords are supermagic, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.


=Triads=


=Triads=
{| class="wikitable"
|| Chord || Transversal || Type ||
|-
|| 0-1-2 || 1-11/10-6/5 || otonal ||
| | Chord
|| 0-1-3 || 1-10/9-4/3 || otonal ||
| | Transversal
|| 0-2-3 || 1-11/9-4/3 || otonal ||
| | Type
|| 0-1-4 || 1-12/11-16/11 || otonal ||
|-
|| 0-2-4 || 1-6/5-22/15 || otonal ||
| | 0-1-2
|| 0-3-4 || 1-4/3-22/15 || otonal ||
| | 1-11/10-6/5
|| 0-1-5 || 1-11/10-8/5 || otonal ||
| | otonal
|| 0-2-5 || 1-6/5-8/5 || otonal ||
|-
|| 0-3-5 || 1-4/3-8/5 || utonal ||
| | 0-1-3
|| 0-4-5 || 1-22/15-8/5 || otonal ||
| | 1-10/9-4/3
|| 0-1-6 || 1-10/9-16/9 || otonal ||
| | otonal
|| 0-2-6 || 1-11/9-16/9 || otonal ||
|-
|| 0-3-6 || 1-4/3-16/9 || ambitonal ||
| | 0-2-3
|| 0-4-6 || 1-16/11-16/9 || utonal ||
| | 1-11/9-4/3
|| 0-5-6 || 1-8/5-16/9 || utonal ||
| | otonal
|| 0-2-8 || 1-6/5-16/15 || otonal ||
|-
|| 0-3-8 || 1-4/3-16/15 || ambitonal ||
| | 0-1-4
|| 0-4-8 || 1-22/15-16/15 || otonal ||
| | 1-12/11-16/11
|| 0-5-8 || 1-8/5-16/15 || ambitonal ||
| | otonal
|| 0-6-8 || 1-16/9-16/15 || utonal ||
|-
|| 0-1-9 || 1-11/10-7/6 || valinorsmic ||
| | 0-2-4
|| 0-3-9 || 1-4/3-7/6 || otonal ||
| | 1-6/5-22/15
|| 0-4-9 || 1-16/11-7/6 || keenanismic ||
| | otonal
|| 0-5-9 || 1-8/5-7/6 || keenanismic ||
|-
|| 0-6-9 || 1-7/4-7/6 || utonal ||
| | 0-3-4
|| 0-8-9 || 1-16/15-7/6 || valinorsmic ||
| | 1-4/3-22/15
|| 0-1-10 || 1-12/11-14/11 || otonal ||
| | otonal
|| 0-2-10 || 1-6/5-14/11 || valinorsmic ||
|-
|| 0-4-10 || 1-16/11-14/11 || otonal ||
| | 0-1-5
|| 0-5-10 || 1-8/5-14/11 || valinorsmic ||
| | 1-11/10-8/5
|| 0-6-10 || 1-7/4-14/11 || utonal ||
| | otonal
|| 0-8-10 || 1-16/15-14/11 || valinorsmic ||
|-
|| 0-9-10 || 1-7/6-14/11 || utonal ||
| | 0-2-5
|| 0-1-11 || 1-11/10-7/5 || otonal ||
| | 1-6/5-8/5
|| 0-2-11 || 1-6/5-7/5 || otonal ||
| | otonal
|| 0-3-11 || 1-4/3-7/5 || archytas ||
|-
|| 0-5-11 || 1-8/5-7/5 || otonal ||
| | 0-3-5
|| 0-6-11 || 1-7/4-7/5 || utonal ||
| | 1-4/3-8/5
|| 0-8-11 || 1-16/15-7/5 || archytas ||
| | utonal
|| 0-9-11 || 1-7/6-7/5 || utonal ||
|-
|| 0-10-11 || 1-14/11-7/5 || utonal ||
| | 0-4-5
|| 0-1-12 || 1-10/9-14/9 || otonal ||
| | 1-22/15-8/5
|| 0-2-12 || 1-11/9-14/9 || otonal ||
| | otonal
|| 0-3-12 || 1-4/3-14/9 || otonal ||
|-
|| 0-4-12 || 1-16/11-14/9 || keenanismic ||
| | 0-1-6
|| 0-6-12 || 1-16/9-14/9 || otonal ||
| | 1-10/9-16/9
|| 0-8-12 || 1-16/15-14/9 || keenanismic ||
| | otonal
|| 0-9-12 || 1-7/6-14/9 || utonal ||
|-
|| 0-10-12 || 1-14/11-14/9 || utonal ||
| | 0-2-6
|| 0-11-12 || 1-7/5-14/9 || utonal ||
| | 1-11/9-16/9
|| 0-2-14 || 1-6/5-28/15 || otonal ||
| | otonal
|| 0-3-14 || 1-4/3-28/15 || otonal ||
|-
|| 0-4-14 || 1-22/15-28/15 || otonal ||
| | 0-3-6
|| 0-5-14 || 1-8/5-28/15 || otonal ||
| | 1-4/3-16/9
|| 0-6-14 || 1-7/4-28/15 || utonal ||
| | ambitonal
|| 0-8-14 || 1-16/15-28/15 || otonal ||
|-
|| 0-9-14 || 1-7/6-28/15 || utonal ||
| | 0-4-6
|| 0-10-14 || 1-14/11-28/15 || utonal ||
| | 1-16/11-16/9
|| 0-11-14 || 1-7/5-28/15 || utonal ||
| | utonal
|| 0-12-14 || 1-14/9-28/15 || utonal ||
|-
| | 0-5-6
| | 1-8/5-16/9
| | utonal
|-
| | 0-2-8
| | 1-6/5-16/15
| | otonal
|-
| | 0-3-8
| | 1-4/3-16/15
| | ambitonal
|-
| | 0-4-8
| | 1-22/15-16/15
| | otonal
|-
| | 0-5-8
| | 1-8/5-16/15
| | ambitonal
|-
| | 0-6-8
| | 1-16/9-16/15
| | utonal
|-
| | 0-1-9
| | 1-11/10-7/6
| | valinorsmic
|-
| | 0-3-9
| | 1-4/3-7/6
| | otonal
|-
| | 0-4-9
| | 1-16/11-7/6
| | keenanismic
|-
| | 0-5-9
| | 1-8/5-7/6
| | keenanismic
|-
| | 0-6-9
| | 1-7/4-7/6
| | utonal
|-
| | 0-8-9
| | 1-16/15-7/6
| | valinorsmic
|-
| | 0-1-10
| | 1-12/11-14/11
| | otonal
|-
| | 0-2-10
| | 1-6/5-14/11
| | valinorsmic
|-
| | 0-4-10
| | 1-16/11-14/11
| | otonal
|-
| | 0-5-10
| | 1-8/5-14/11
| | valinorsmic
|-
| | 0-6-10
| | 1-7/4-14/11
| | utonal
|-
| | 0-8-10
| | 1-16/15-14/11
| | valinorsmic
|-
| | 0-9-10
| | 1-7/6-14/11
| | utonal
|-
| | 0-1-11
| | 1-11/10-7/5
| | otonal
|-
| | 0-2-11
| | 1-6/5-7/5
| | otonal
|-
| | 0-3-11
| | 1-4/3-7/5
| | archytas
|-
| | 0-5-11
| | 1-8/5-7/5
| | otonal
|-
| | 0-6-11
| | 1-7/4-7/5
| | utonal
|-
| | 0-8-11
| | 1-16/15-7/5
| | archytas
|-
| | 0-9-11
| | 1-7/6-7/5
| | utonal
|-
| | 0-10-11
| | 1-14/11-7/5
| | utonal
|-
| | 0-1-12
| | 1-10/9-14/9
| | otonal
|-
| | 0-2-12
| | 1-11/9-14/9
| | otonal
|-
| | 0-3-12
| | 1-4/3-14/9
| | otonal
|-
| | 0-4-12
| | 1-16/11-14/9
| | keenanismic
|-
| | 0-6-12
| | 1-16/9-14/9
| | otonal
|-
| | 0-8-12
| | 1-16/15-14/9
| | keenanismic
|-
| | 0-9-12
| | 1-7/6-14/9
| | utonal
|-
| | 0-10-12
| | 1-14/11-14/9
| | utonal
|-
| | 0-11-12
| | 1-7/5-14/9
| | utonal
|-
| | 0-2-14
| | 1-6/5-28/15
| | otonal
|-
| | 0-3-14
| | 1-4/3-28/15
| | otonal
|-
| | 0-4-14
| | 1-22/15-28/15
| | otonal
|-
| | 0-5-14
| | 1-8/5-28/15
| | otonal
|-
| | 0-6-14
| | 1-7/4-28/15
| | utonal
|-
| | 0-8-14
| | 1-16/15-28/15
| | otonal
|-
| | 0-9-14
| | 1-7/6-28/15
| | utonal
|-
| | 0-10-14
| | 1-14/11-28/15
| | utonal
|-
| | 0-11-14
| | 1-7/5-28/15
| | utonal
|-
| | 0-12-14
| | 1-14/9-28/15
| | utonal
|}


=Tetrads=  
=Tetrads=
|| Chord || Transversal || Type ||
|| 0-1-2-3 || 1-10/9-11/9-4/3 || otonal ||
|| 0-1-2-4 || 1-11/10-11/9-22/15 || utonal ||
|| 0-1-3-4 || 1-10/9-4/3-22/15 || otonal ||
|| 0-1-2-5 || 1-11/10-6/5-8/5 || otonal ||
|| 0-1-3-5 || 1-11/10-4/3-8/5 || ptolemismic ||
|| 0-1-4-5 || 1-11/10-16/11-8/5 || biyatismic ||
|| 0-2-3-5 || 1-6/5-4/3-8/5 || ambitonal ||
|| 0-2-4-6 || 1-6/5-16/11-7/4 || supermagic ||
|| 0-3-6-9 || 1-4/3-7/4-7/6 || archytas ||
|| 0-4-8-12 || 1-16/11-16/15-14/9 || zeus ||


=Pentads=
{| class="wikitable"
|| Chord || Transversal || Type ||
|-
||   ||   ||   ||
| | Chord
|| 0-1-2-3-6 || 1-10/9-11/9-4/3-16/9 || otonal ||
| | Transversal
|| 0-2-3-4-6 ||   ||   ||
| | Type
|| 0-3-4-5-6 ||   ||   ||
|-
|| 0-2-4-6-8 || 1-6/5-16/11-7/4-16/15 || porcupine ||
| | 0-1-2-3
|| 0-3-6-9-12 || 1-4/3-7/4-7/6-14/9 || archytas ||
| | 1-10/9-11/9-4/3
| | otonal
|-
| | 0-1-2-4
| | 1-11/10-11/9-22/15
| | utonal
|-
| | 0-1-3-4
| | 1-10/9-4/3-22/15
| | otonal
|-
| | 0-1-2-5
| | 1-11/10-6/5-8/5
| | otonal
|-
| | 0-1-3-5
| | 1-11/10-4/3-8/5
| | ptolemismic
|-
| | 0-1-4-5
| | 1-11/10-16/11-8/5
| | biyatismic
|-
| | 0-2-3-5
| | 1-6/5-4/3-8/5
| | ambitonal
|-
| | 0-2-4-6
| | 1-6/5-16/11-7/4
| | supermagic
|-
| | 0-3-6-9
| | 1-4/3-7/4-7/6
| | archytas
|-
| | 0-4-8-12
| | 1-16/11-16/15-14/9
| | zeus
|}


=Hexads= </pre></div>
=Pentads=
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of porcupine&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="/Porcupine"&gt;porcupine temperament&lt;/a&gt; that do not have generator steps 7 or 13 as dyads. &lt;span style="background-color: #ffffff;"&gt;Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. 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.&lt;/span&gt; If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 100/99 ptolemismic, by 121/120 biyatismic, 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, 100/99 and 385/384 tempered chords are supermagic, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;Chord&lt;br /&gt;
| | Chord
&lt;/td&gt;
| | Transversal
        &lt;td&gt;Transversal&lt;br /&gt;
| | Type
&lt;/td&gt;
|-
        &lt;td&gt;Type&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;0-1-2&lt;br /&gt;
| | 0-1-2-3-6
&lt;/td&gt;
| | 1-10/9-11/9-4/3-16/9
        &lt;td&gt;1-11/10-6/5&lt;br /&gt;
| | otonal
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| | 0-2-3-4-6
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;0-1-3&lt;br /&gt;
| | 0-3-4-5-6
&lt;/td&gt;
| |
        &lt;td&gt;1-10/9-4/3&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| | 0-2-4-6-8
&lt;/td&gt;
| | 1-6/5-16/11-7/4-16/15
    &lt;/tr&gt;
| | porcupine
    &lt;tr&gt;
|-
        &lt;td&gt;0-2-3&lt;br /&gt;
| | 0-3-6-9-12
&lt;/td&gt;
| | 1-4/3-7/4-7/6-14/9
        &lt;td&gt;1-11/9-4/3&lt;br /&gt;
| | archytas
&lt;/td&gt;
|}
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-1-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-16/11&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;0-2-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-22/15&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;0-3-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-22/15&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;0-1-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-8/5&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;0-2-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-8/5&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;0-3-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-8/5&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;0-4-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-22/15-8/5&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;0-1-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/9-16/9&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;0-2-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-16/9&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;0-3-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-16/9&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;0-4-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-16/9&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;0-5-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-16/9&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;0-2-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/15&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;0-3-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-16/15&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;0-4-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-22/15-16/15&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;0-5-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-16/15&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;0-6-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/9-16/15&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;0-1-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-7/6&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;0-3-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-7/6&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;0-4-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/6&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;0-5-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-7/6&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;0-6-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-7/6&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;0-8-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/15-7/6&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;0-1-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-14/11&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;0-2-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-14/11&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;0-4-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-14/11&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;0-5-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-14/11&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;0-6-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-14/11&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;0-8-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/15-14/11&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;0-9-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-14/11&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;0-1-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-7/5&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;0-2-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5&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;0-3-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;archytas&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-5-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-7/5&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;0-6-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-7/5&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;0-8-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/15-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;archytas&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5&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;0-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/11-7/5&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;0-1-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/9-14/9&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;0-2-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-14/9&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;0-3-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-14/9&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;0-4-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-14/9&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;0-6-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/9-14/9&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;0-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/15-14/9&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;0-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-14/9&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;0-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/11-14/9&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;0-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-14/9&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;0-2-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-28/15&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;0-3-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-28/15&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;0-4-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-22/15-28/15&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;0-5-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-28/15&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;0-6-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-28/15&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;0-8-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/15-28/15&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;0-9-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-28/15&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;0-10-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/11-28/15&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;0-11-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-28/15&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;0-12-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-28/15&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;
=Hexads=
&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;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&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;0-1-2-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/9-11/9-4/3&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;0-1-2-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/9-22/15&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;0-1-3-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/9-4/3-22/15&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;0-1-2-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-6/5-8/5&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;0-1-3-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-4/3-8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-1-4-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-16/11-8/5&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;0-2-3-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-4/3-8/5&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;0-2-4-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-3-6-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-7/4-7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;archytas&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-4-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-16/15-14/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;zeus&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&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;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-1-2-3-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10/9-11/9-4/3-16/9&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;0-2-3-4-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-3-4-5-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-2-4-6-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-7/4-16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;porcupine&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0-3-6-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4/3-7/4-7/6-14/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;archytas&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;/body&gt;&lt;/html&gt;</pre></div>
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