Catakleismic/11-limit chords

Revision as of 02:56, 29 December 2011 by Wikispaces>genewardsmith (**Imported revision 288714062 - Original comment: **)
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Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Kleismic family#Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.

Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.
 
=Triads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-6 || 1-6/5-3/2 || utonal ||
|| 2 || 0-5-6 || 1-5/4-3/2 || otonal ||
|| 3 || 0-1-7 || 1-6/5-9/5 || otonal ||
|| 4 || 0-6-7 || 1-3/2-9/5 || utonal ||
|| 5 || 0-5-10 || 1-5/4-14/9 || marvel ||
|| 6 || 0-5-12 || 1-5/4-9/8 || otonal ||
|| 7 || 0-6-12 || 1-3/2-9/8 || ambitonal ||
|| 8 || 0-7-12 || 1-9/5-9/8 || utonal ||
|| 9 || 0-6-16 || 1-3/2-7/6 || otonal ||
|| 10 || 0-10-16 || 1-14/9-7/6 || utonal ||
|| 11 || 0-1-17 || 1-6/5-7/5 || otonal ||
|| 12 || 0-5-17 || 1-5/4-7/5 || marvel ||
|| 13 || 0-7-17 || 1-9/5-7/5 || otonal ||
|| 14 || 0-10-17 || 1-14/9-7/5 || utonal ||
|| 15 || 0-12-17 || 1-9/8-7/5 || marvel ||
|| 16 || 0-16-17 || 1-7/6-7/5 || utonal ||
|| 17 || 0-5-21 || 1-5/4-16/11 || keenanismic ||
|| 18 || 0-16-21 || 1-7/6-16/11 || keenanismic ||
|| 19 || 0-1-22 || 1-6/5-7/4 || keenanismic ||
|| 20 || 0-5-22 || 1-5/4-7/4 || otonal ||
|| 21 || 0-6-22 || 1-3/2-7/4 || otonal ||
|| 22 || 0-10-22 || 1-14/9-7/4 || utonal ||
|| 23 || 0-12-22 || 1-9/8-7/4 || otonal ||
|| 24 || 0-16-22 || 1-7/6-7/4 || utonal ||
|| 25 || 0-17-22 || 1-7/5-7/4 || utonal ||
|| 26 || 0-21-22 || 1-16/11-7/4 || keenanismic ||
|| 27 || 0-5-26 || 1-5/4-20/11 || utonal ||
|| 28 || 0-10-26 || 1-14/9-20/11 || swetismic ||
|| 29 || 0-16-26 || 1-7/6-20/11 || swetismic ||
|| 30 || 0-21-26 || 1-16/11-20/11 || otonal ||
|| 31 || 0-1-27 || 1-6/5-12/11 || utonal ||
|| 32 || 0-5-27 || 1-5/4-12/11 || keenanismic ||
|| 33 || 0-6-27 || 1-3/2-12/11 || utonal ||
|| 34 || 0-10-27 || 1-14/9-12/11 || swetismic ||
|| 35 || 0-17-27 || 1-7/5-12/11 || swetismic ||
|| 36 || 0-21-27 || 1-16/11-12/11 || otonal ||
|| 37 || 0-22-27 || 1-7/4-12/11 || keenanismic ||
|| 38 || 0-26-27 || 1-20/11-12/11 || otonal ||
|| 39 || 0-6-33 || 1-3/2-18/11 || utonal ||
|| 40 || 0-7-33 || 1-9/5-18/11 || utonal ||
|| 41 || 0-12-33 || 1-9/8-18/11 || utonal ||
|| 42 || 0-16-33 || 1-7/6-18/11 || swetismic ||
|| 43 || 0-17-33 || 1-7/5-18/11 || swetismic ||
|| 44 || 0-21-33 || 1-16/11-18/11 || otonal ||
|| 45 || 0-26-33 || 1-20/11-18/11 || otonal ||
|| 46 || 0-27-33 || 1-12/11-18/11 || otonal ||
|| 47 || 0-10-43 || 1-14/9-14/11 || utonal ||
|| 48 || 0-16-43 || 1-7/6-14/11 || utonal ||
|| 49 || 0-17-43 || 1-7/5-14/11 || utonal ||
|| 50 || 0-21-43 || 1-16/11-14/11 || otonal ||
|| 51 || 0-22-43 || 1-7/4-14/11 || utonal ||
|| 52 || 0-26-43 || 1-20/11-14/11 || otonal ||
|| 53 || 0-27-43 || 1-12/11-14/11 || otonal ||
|| 54 || 0-33-43 || 1-18/11-14/11 || otonal ||

=Tetrads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-6-7 || 1-6/5-3/2-9/5 || ambitonal ||
|| 2 || 0-5-6-12 || 1-5/4-3/2-9/8 || otonal ||
|| 3 || 0-6-7-12 || 1-3/2-9/5-9/8 || utonal ||
|| 4 || 0-1-7-17 || 1-6/5-9/5-7/5 || otonal ||
|| 5 || 0-5-10-17 || 1-5/4-14/9-7/5 || marvel ||
|| 6 || 0-5-12-17 || 1-5/4-9/8-7/5 || marvel ||
|| 7 || 0-7-12-17 || 1-9/5-9/8-7/5 || marvel ||
|| 8 || 0-10-16-17 || 1-14/9-7/6-7/5 || utonal ||
|| 9 || 0-1-6-22 || 1-6/5-3/2-7/4 || keenanismic ||
|| 10 || 0-5-6-22 || 1-5/4-3/2-7/4 || otonal ||
|| 11 || 0-5-10-22 || 1-5/4-14/9-7/4 || marvel ||
|| 12 || 0-5-12-22 || 1-5/4-9/8-7/4 || otonal ||
|| 13 || 0-6-12-22 || 1-3/2-9/8-7/4 || otonal ||
|| 14 || 0-6-16-22 || 1-3/2-7/6-7/4 || ambitonal ||
|| 15 || 0-10-16-22 || 1-14/9-7/6-7/4 || utonal ||
|| 16 || 0-1-17-22 || 1-6/5-7/5-7/4 || keenanismic ||
|| 17 || 0-5-17-22 || 1-5/4-7/5-7/4 || marvel ||
|| 18 || 0-10-17-22 || 1-14/9-7/5-7/4 || utonal ||
|| 19 || 0-12-17-22 || 1-9/8-7/5-7/4 || marvel ||
|| 20 || 0-16-17-22 || 1-7/6-7/5-7/4 || utonal ||
|| 21 || 0-5-21-22 || 1-5/4-16/11-7/4 || keenanismic ||
|| 22 || 0-16-21-22 || 1-7/6-16/11-7/4 || keenanismic ||
|| 23 || 0-5-10-26 || 1-5/4-14/9-20/11 || unimarv ||
|| 24 || 0-10-16-26 || 1-14/9-7/6-20/11 || swetismic ||
|| 25 || 0-5-21-26 || 1-5/4-16/11-20/11 || keenanismic ||
|| 26 || 0-16-21-26 || 1-7/6-16/11-20/11 || unimarv ||
|| 27 || 0-1-6-27 || 1-6/5-3/2-12/11 || utonal ||
|| 28 || 0-5-6-27 || 1-5/4-3/2-12/11 || keenanismic ||
|| 29 || 0-5-10-27 || 1-5/4-14/9-12/11 || unimarv ||
|| 30 || 0-1-17-27 || 1-6/5-7/5-12/11 || swetismic ||
|| 31 || 0-5-17-27 || 1-5/4-7/5-12/11 || unimarv ||
|| 32 || 0-10-17-27 || 1-14/9-7/5-12/11 || swetismic ||
|| 33 || 0-5-21-27 || 1-5/4-16/11-12/11 || keenanismic ||
|| 34 || 0-1-22-27 || 1-6/5-7/4-12/11 || keenanismic ||
|| 35 || 0-5-22-27 || 1-5/4-7/4-12/11 || keenanismic ||
|| 36 || 0-6-22-27 || 1-3/2-7/4-12/11 || keenanismic ||
|| 37 || 0-10-22-27 || 1-14/9-7/4-12/11 || unimarv ||
|| 38 || 0-17-22-27 || 1-7/5-7/4-12/11 || unimarv ||
|| 39 || 0-21-22-27 || 1-16/11-7/4-12/11 || keenanismic ||
|| 40 || 0-5-26-27 || 1-5/4-20/11-12/11 || keenanismic ||
|| 41 || 0-10-26-27 || 1-14/9-20/11-12/11 || swetismic ||
|| 42 || 0-21-26-27 || 1-16/11-20/11-12/11 || otonal ||
|| 43 || 0-6-7-33 || 1-3/2-9/5-18/11 || utonal ||
|| 44 || 0-6-12-33 || 1-3/2-9/8-18/11 || utonal ||
|| 45 || 0-7-12-33 || 1-9/5-9/8-18/11 || utonal ||
|| 46 || 0-6-16-33 || 1-3/2-7/6-18/11 || swetismic ||
|| 47 || 0-7-17-33 || 1-9/5-7/5-18/11 || swetismic ||
|| 48 || 0-12-17-33 || 1-9/8-7/5-18/11 || unimarv ||
|| 49 || 0-16-17-33 || 1-7/6-7/5-18/11 || swetismic ||
|| 50 || 0-16-21-33 || 1-7/6-16/11-18/11 || unimarv ||
|| 51 || 0-16-26-33 || 1-7/6-20/11-18/11 || swetismic ||
|| 52 || 0-21-26-33 || 1-16/11-20/11-18/11 || otonal ||
|| 53 || 0-6-27-33 || 1-3/2-12/11-18/11 || ambitonal ||
|| 54 || 0-17-27-33 || 1-7/5-12/11-18/11 || swetismic ||
|| 55 || 0-21-27-33 || 1-16/11-12/11-18/11 || otonal ||
|| 56 || 0-26-27-33 || 1-20/11-12/11-18/11 || otonal ||
|| 57 || 0-10-16-43 || 1-14/9-7/6-14/11 || utonal ||
|| 58 || 0-10-17-43 || 1-14/9-7/5-14/11 || utonal ||
|| 59 || 0-16-17-43 || 1-7/6-7/5-14/11 || utonal ||
|| 60 || 0-16-21-43 || 1-7/6-16/11-14/11 || keenanismic ||
|| 61 || 0-10-22-43 || 1-14/9-7/4-14/11 || utonal ||
|| 62 || 0-16-22-43 || 1-7/6-7/4-14/11 || utonal ||
|| 63 || 0-17-22-43 || 1-7/5-7/4-14/11 || utonal ||
|| 64 || 0-21-22-43 || 1-16/11-7/4-14/11 || keenanismic ||
|| 65 || 0-10-26-43 || 1-14/9-20/11-14/11 || swetismic ||
|| 66 || 0-16-26-43 || 1-7/6-20/11-14/11 || swetismic ||
|| 67 || 0-21-26-43 || 1-16/11-20/11-14/11 || otonal ||
|| 68 || 0-10-27-43 || 1-14/9-12/11-14/11 || swetismic ||
|| 69 || 0-17-27-43 || 1-7/5-12/11-14/11 || swetismic ||
|| 70 || 0-21-27-43 || 1-16/11-12/11-14/11 || otonal ||
|| 71 || 0-22-27-43 || 1-7/4-12/11-14/11 || keenanismic ||
|| 72 || 0-26-27-43 || 1-20/11-12/11-14/11 || otonal ||
|| 73 || 0-16-33-43 || 1-7/6-18/11-14/11 || swetismic ||
|| 74 || 0-17-33-43 || 1-7/5-18/11-14/11 || swetismic ||
|| 75 || 0-21-33-43 || 1-16/11-18/11-14/11 || otonal ||
|| 76 || 0-26-33-43 || 1-20/11-18/11-14/11 || otonal ||
|| 77 || 0-27-33-43 || 1-12/11-18/11-14/11 || otonal ||

=Pentads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-5-6-12-22 || 1-5/4-3/2-9/8-7/4 || otonal ||
|| 2 || 0-5-10-17-22 || 1-5/4-14/9-7/5-7/4 || marvel ||
|| 3 || 0-5-12-17-22 || 1-5/4-9/8-7/5-7/4 || marvel ||
|| 4 || 0-10-16-17-22 || 1-14/9-7/6-7/5-7/4 || utonal ||
|| 5 || 0-5-10-17-27 || 1-5/4-14/9-7/5-12/11 || unimarv ||
|| 6 || 0-1-6-22-27 || 1-6/5-3/2-7/4-12/11 || keenanismic ||
|| 7 || 0-5-6-22-27 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
|| 8 || 0-5-10-22-27 || 1-5/4-14/9-7/4-12/11 || unimarv ||
|| 9 || 0-1-17-22-27 || 1-6/5-7/5-7/4-12/11 || unimarv ||
|| 10 || 0-5-17-22-27 || 1-5/4-7/5-7/4-12/11 || unimarv ||
|| 11 || 0-10-17-22-27 || 1-14/9-7/5-7/4-12/11 || unimarv ||
|| 12 || 0-5-21-22-27 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
|| 13 || 0-5-10-26-27 || 1-5/4-14/9-20/11-12/11 || unimarv ||
|| 14 || 0-5-21-26-27 || 1-5/4-16/11-20/11-12/11 || keenanismic ||
|| 15 || 0-6-7-12-33 || 1-3/2-9/5-9/8-18/11 || utonal ||
|| 16 || 0-7-12-17-33 || 1-9/5-9/8-7/5-18/11 || unimarv ||
|| 17 || 0-16-21-26-33 || 1-7/6-16/11-20/11-18/11 || unimarv ||
|| 18 || 0-21-26-27-33 || 1-16/11-20/11-12/11-18/11 || otonal ||
|| 19 || 0-10-16-17-43 || 1-14/9-7/6-7/5-14/11 || utonal ||
|| 20 || 0-10-16-22-43 || 1-14/9-7/6-7/4-14/11 || utonal ||
|| 21 || 0-10-17-22-43 || 1-14/9-7/5-7/4-14/11 || utonal ||
|| 22 || 0-16-17-22-43 || 1-7/6-7/5-7/4-14/11 || utonal ||
|| 23 || 0-16-21-22-43 || 1-7/6-16/11-7/4-14/11 || keenanismic ||
|| 24 || 0-10-16-26-43 || 1-14/9-7/6-20/11-14/11 || swetismic ||
|| 25 || 0-16-21-26-43 || 1-7/6-16/11-20/11-14/11 || unimarv ||
|| 26 || 0-10-17-27-43 || 1-14/9-7/5-12/11-14/11 || swetismic ||
|| 27 || 0-10-22-27-43 || 1-14/9-7/4-12/11-14/11 || unimarv ||
|| 28 || 0-17-22-27-43 || 1-7/5-7/4-12/11-14/11 || unimarv ||
|| 29 || 0-21-22-27-43 || 1-16/11-7/4-12/11-14/11 || keenanismic ||
|| 30 || 0-10-26-27-43 || 1-14/9-20/11-12/11-14/11 || swetismic ||
|| 31 || 0-21-26-27-43 || 1-16/11-20/11-12/11-14/11 || otonal ||
|| 32 || 0-16-17-33-43 || 1-7/6-7/5-18/11-14/11 || swetismic ||
|| 33 || 0-16-21-33-43 || 1-7/6-16/11-18/11-14/11 || unimarv ||
|| 34 || 0-16-26-33-43 || 1-7/6-20/11-18/11-14/11 || swetismic ||
|| 35 || 0-21-26-33-43 || 1-16/11-20/11-18/11-14/11 || otonal ||
|| 36 || 0-17-27-33-43 || 1-7/5-12/11-18/11-14/11 || swetismic ||
|| 37 || 0-21-27-33-43 || 1-16/11-12/11-18/11-14/11 || otonal ||
|| 38 || 0-26-27-33-43 || 1-20/11-12/11-18/11-14/11 || otonal ||

=Hexads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-5-10-17-22-27 || 1-5/4-14/9-7/5-7/4-12/11 || unimarv ||
|| 2 || 0-10-16-17-22-43 || 1-14/9-7/6-7/5-7/4-14/11 || utonal ||
|| 3 || 0-10-17-22-27-43 || 1-14/9-7/5-7/4-12/11-14/11 || unimarv ||
|| 4 || 0-16-21-26-33-43 || 1-7/6-16/11-20/11-18/11-14/11 || unimarv ||
|| 5 || 0-21-26-27-33-43 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||

Original HTML content:

<html><head><title>Chords of catakleismic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Kleismic%20family#Catakleismic">catakleismic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.<br />
<br />
Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>


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

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


<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-6-7<br />
</td>
        <td>1-6/5-3/2-9/5<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-5-6-12<br />
</td>
        <td>1-5/4-3/2-9/8<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-6-7-12<br />
</td>
        <td>1-3/2-9/5-9/8<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-1-7-17<br />
</td>
        <td>1-6/5-9/5-7/5<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-5-10-17<br />
</td>
        <td>1-5/4-14/9-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-5-12-17<br />
</td>
        <td>1-5/4-9/8-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-7-12-17<br />
</td>
        <td>1-9/5-9/8-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-10-16-17<br />
</td>
        <td>1-14/9-7/6-7/5<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-1-6-22<br />
</td>
        <td>1-6/5-3/2-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-5-6-22<br />
</td>
        <td>1-5/4-3/2-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-5-10-22<br />
</td>
        <td>1-5/4-14/9-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-5-12-22<br />
</td>
        <td>1-5/4-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-6-12-22<br />
</td>
        <td>1-3/2-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-6-16-22<br />
</td>
        <td>1-3/2-7/6-7/4<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-10-16-22<br />
</td>
        <td>1-14/9-7/6-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-1-17-22<br />
</td>
        <td>1-6/5-7/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-5-17-22<br />
</td>
        <td>1-5/4-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-10-17-22<br />
</td>
        <td>1-14/9-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-12-17-22<br />
</td>
        <td>1-9/8-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-16-17-22<br />
</td>
        <td>1-7/6-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-5-21-22<br />
</td>
        <td>1-5/4-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-16-21-22<br />
</td>
        <td>1-7/6-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-5-10-26<br />
</td>
        <td>1-5/4-14/9-20/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-10-16-26<br />
</td>
        <td>1-14/9-7/6-20/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-5-21-26<br />
</td>
        <td>1-5/4-16/11-20/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-16-21-26<br />
</td>
        <td>1-7/6-16/11-20/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-1-6-27<br />
</td>
        <td>1-6/5-3/2-12/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-5-6-27<br />
</td>
        <td>1-5/4-3/2-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-5-10-27<br />
</td>
        <td>1-5/4-14/9-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-1-17-27<br />
</td>
        <td>1-6/5-7/5-12/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-5-17-27<br />
</td>
        <td>1-5/4-7/5-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-10-17-27<br />
</td>
        <td>1-14/9-7/5-12/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-5-21-27<br />
</td>
        <td>1-5/4-16/11-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-1-22-27<br />
</td>
        <td>1-6/5-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-5-22-27<br />
</td>
        <td>1-5/4-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-6-22-27<br />
</td>
        <td>1-3/2-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-10-22-27<br />
</td>
        <td>1-14/9-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-17-22-27<br />
</td>
        <td>1-7/5-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-21-22-27<br />
</td>
        <td>1-16/11-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-5-26-27<br />
</td>
        <td>1-5/4-20/11-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-10-26-27<br />
</td>
        <td>1-14/9-20/11-12/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-21-26-27<br />
</td>
        <td>1-16/11-20/11-12/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-6-7-33<br />
</td>
        <td>1-3/2-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-6-12-33<br />
</td>
        <td>1-3/2-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-7-12-33<br />
</td>
        <td>1-9/5-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-6-16-33<br />
</td>
        <td>1-3/2-7/6-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-7-17-33<br />
</td>
        <td>1-9/5-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-12-17-33<br />
</td>
        <td>1-9/8-7/5-18/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-16-17-33<br />
</td>
        <td>1-7/6-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-16-21-33<br />
</td>
        <td>1-7/6-16/11-18/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-16-26-33<br />
</td>
        <td>1-7/6-20/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-21-26-33<br />
</td>
        <td>1-16/11-20/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-6-27-33<br />
</td>
        <td>1-3/2-12/11-18/11<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-17-27-33<br />
</td>
        <td>1-7/5-12/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-21-27-33<br />
</td>
        <td>1-16/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-26-27-33<br />
</td>
        <td>1-20/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-10-16-43<br />
</td>
        <td>1-14/9-7/6-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-10-17-43<br />
</td>
        <td>1-14/9-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>0-16-17-43<br />
</td>
        <td>1-7/6-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>0-16-21-43<br />
</td>
        <td>1-7/6-16/11-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>61<br />
</td>
        <td>0-10-22-43<br />
</td>
        <td>1-14/9-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>62<br />
</td>
        <td>0-16-22-43<br />
</td>
        <td>1-7/6-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>63<br />
</td>
        <td>0-17-22-43<br />
</td>
        <td>1-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>64<br />
</td>
        <td>0-21-22-43<br />
</td>
        <td>1-16/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>65<br />
</td>
        <td>0-10-26-43<br />
</td>
        <td>1-14/9-20/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>66<br />
</td>
        <td>0-16-26-43<br />
</td>
        <td>1-7/6-20/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>67<br />
</td>
        <td>0-21-26-43<br />
</td>
        <td>1-16/11-20/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>68<br />
</td>
        <td>0-10-27-43<br />
</td>
        <td>1-14/9-12/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>69<br />
</td>
        <td>0-17-27-43<br />
</td>
        <td>1-7/5-12/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>70<br />
</td>
        <td>0-21-27-43<br />
</td>
        <td>1-16/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>71<br />
</td>
        <td>0-22-27-43<br />
</td>
        <td>1-7/4-12/11-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>72<br />
</td>
        <td>0-26-27-43<br />
</td>
        <td>1-20/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>73<br />
</td>
        <td>0-16-33-43<br />
</td>
        <td>1-7/6-18/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>74<br />
</td>
        <td>0-17-33-43<br />
</td>
        <td>1-7/5-18/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>75<br />
</td>
        <td>0-21-33-43<br />
</td>
        <td>1-16/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>76<br />
</td>
        <td>0-26-33-43<br />
</td>
        <td>1-20/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>77<br />
</td>
        <td>0-27-33-43<br />
</td>
        <td>1-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-5-6-12-22<br />
</td>
        <td>1-5/4-3/2-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-5-10-17-22<br />
</td>
        <td>1-5/4-14/9-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-5-12-17-22<br />
</td>
        <td>1-5/4-9/8-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-10-16-17-22<br />
</td>
        <td>1-14/9-7/6-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-5-10-17-27<br />
</td>
        <td>1-5/4-14/9-7/5-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-1-6-22-27<br />
</td>
        <td>1-6/5-3/2-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-5-6-22-27<br />
</td>
        <td>1-5/4-3/2-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-5-10-22-27<br />
</td>
        <td>1-5/4-14/9-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-1-17-22-27<br />
</td>
        <td>1-6/5-7/5-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-5-17-22-27<br />
</td>
        <td>1-5/4-7/5-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-10-17-22-27<br />
</td>
        <td>1-14/9-7/5-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-5-21-22-27<br />
</td>
        <td>1-5/4-16/11-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-5-10-26-27<br />
</td>
        <td>1-5/4-14/9-20/11-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-5-21-26-27<br />
</td>
        <td>1-5/4-16/11-20/11-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-6-7-12-33<br />
</td>
        <td>1-3/2-9/5-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-7-12-17-33<br />
</td>
        <td>1-9/5-9/8-7/5-18/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-16-21-26-33<br />
</td>
        <td>1-7/6-16/11-20/11-18/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-21-26-27-33<br />
</td>
        <td>1-16/11-20/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-10-16-17-43<br />
</td>
        <td>1-14/9-7/6-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-10-16-22-43<br />
</td>
        <td>1-14/9-7/6-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-10-17-22-43<br />
</td>
        <td>1-14/9-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-16-17-22-43<br />
</td>
        <td>1-7/6-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-16-21-22-43<br />
</td>
        <td>1-7/6-16/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-10-16-26-43<br />
</td>
        <td>1-14/9-7/6-20/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-16-21-26-43<br />
</td>
        <td>1-7/6-16/11-20/11-14/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-10-17-27-43<br />
</td>
        <td>1-14/9-7/5-12/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-10-22-27-43<br />
</td>
        <td>1-14/9-7/4-12/11-14/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-17-22-27-43<br />
</td>
        <td>1-7/5-7/4-12/11-14/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-21-22-27-43<br />
</td>
        <td>1-16/11-7/4-12/11-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-10-26-27-43<br />
</td>
        <td>1-14/9-20/11-12/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-21-26-27-43<br />
</td>
        <td>1-16/11-20/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-16-17-33-43<br />
</td>
        <td>1-7/6-7/5-18/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-16-21-33-43<br />
</td>
        <td>1-7/6-16/11-18/11-14/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-16-26-33-43<br />
</td>
        <td>1-7/6-20/11-18/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-21-26-33-43<br />
</td>
        <td>1-16/11-20/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-17-27-33-43<br />
</td>
        <td>1-7/5-12/11-18/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-21-27-33-43<br />
</td>
        <td>1-16/11-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-26-27-33-43<br />
</td>
        <td>1-20/11-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-5-10-17-22-27<br />
</td>
        <td>1-5/4-14/9-7/5-7/4-12/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-10-16-17-22-43<br />
</td>
        <td>1-14/9-7/6-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-10-17-22-27-43<br />
</td>
        <td>1-14/9-7/5-7/4-12/11-14/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-16-21-26-33-43<br />
</td>
        <td>1-7/6-16/11-20/11-18/11-14/11<br />
</td>
        <td>unimarv<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-21-26-27-33-43<br />
</td>
        <td>1-16/11-20/11-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
</table>

</body></html>