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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as [[dyad]]s. Typing the chords requires consideration of the fact that porcupine conflates [[10/9]], [[11/10]] and [[12/11]], [[11/9]] with [[6/5]], [[22/15]] with [[16/11]], and [[16/9]] with [[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. 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 chords|archytas]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[121/120]] [[biyatismic chords|biyatismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], and by [[385/384]] [[keenanismic chords|keenanismic]]. Chords that require any two of 64/63, 100/99 and 176/175 tempering are marked [[ares chords|ares]], that require 100/99 and 385/384 tempering are marked [[keemic chords|keemic]], and that require any two of 121/120, 176/175 and 385/384 are marked [[zeus chords|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>2012-07-28 18:14:58 UTC</tt>.<br>
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| : The original revision id was <tt>355208480</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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. <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, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.
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| | The transversal is in generator order. This is useful because it tells how common the chords are: For instance, a chord that appears on the sixth generation will appear exactly once in Porcupine[7], twice in Porcupine[8], and nine times in Porcupine[15]. |
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| =Triads=
| | The "As generated" column takes the intervals that were generated and places them in size order. The 1st and 2nd inversion (and so on) columns show the inversions of those generated tones. Note that this gives different results than you might be used to: the major chord (1–5/4–3/2, or 4:5:6) is the second inversion of the generated 0–2–5 chord. |
| || Chord || Transversal || Type ||
| |
| || 0-1-2 || 1-11/10-6/5 || otonal ||
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| || 0-1-3 || 1-10/9-4/3 || otonal ||
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| || 0-2-3 || 1-11/9-4/3 || otonal ||
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| || 0-1-4 || 1-12/11-16/11 || otonal ||
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| || 0-2-4 || 1-6/5-16/11 || otonal ||
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| || 0-3-4 || 1-4/3-16/11 || utonal ||
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| || 0-1-5 || 1-11/10-8/5 || otonal ||
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| || 0-2-5 || 1-6/5-8/5 || otonal ||
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| || 0-3-5 || 1-4/3-8/5 || utonal ||
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| || 0-4-5 || 1-16/11-8/5 || utonal ||
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| || 0-1-6 || 1-11/10-7/4 || valinorsmic ||
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| || 0-2-6 || 1-10/9-16/9 || otonal ||
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| || 0-3-6 || 1-4/3-16/9 || ambitonal ||
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| || 0-4-6 || 1-16/11-16/9 || utonal ||
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| || 0-5-6 || 1-8/5-7/4 || valinorsmic ||
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| || 0-2-8 || 1-6/5-16/15 || ambitonal ||
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| || 0-3-8 || 1-4/3-16/15 || ambitonal ||
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| || 0-4-8 || 1-22/15-16/15 || otonal ||
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| || 0-5-8 || 1-8/5-16/15 || ambitonal ||
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| || 0-6-8 || 1-16/9-16/15 || ambitonal ||
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| || 0-1-9 || 1-11/10-7/6 || valinorsmic ||
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| || 0-3-9 || 1-4/3-7/6 || otonal ||
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| || 0-4-9 || 1-16/11-7/6 || keenanismic ||
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| || 0-5-9 || 1-8/5-7/6 || keenanismic ||
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| || 0-6-9 || 1-7/4-7/6 || utonal ||
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| || 0-8-9 || 1-16/15-7/6 || valinorsmic ||
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| || 0-1-10 || 1-12/11-14/11 || otonal ||
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| || 0-2-10 || 1-6/5-14/11 || valinorsmic ||
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| || 0-4-10 || 1-16/11-14/11 || otonal ||
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| || 0-5-10 || 1-8/5-14/11 || valinorsmic ||
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| || 0-6-10 || 1-7/4-14/11 || utonal ||
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| || 0-8-10 || 1-16/15-14/11 || valinorsmic ||
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| || 0-9-10 || 1-7/6-14/11 || utonal ||
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| || 0-1-11 || 1-11/10-7/5 || otonal ||
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| || 0-2-11 || 1-6/5-7/5 || otonal ||
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| || 0-3-11 || 1-4/3-7/5 || archytas ||
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| || 0-5-11 || 1-8/5-7/5 || otonal ||
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| || 0-6-11 || 1-7/4-7/5 || utonal ||
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| || 0-8-11 || 1-16/15-7/5 || archytas ||
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| || 0-9-11 || 1-7/6-7/5 || utonal ||
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| || 0-10-11 || 1-14/11-7/5 || utonal ||
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| || 0-1-12 || 1-10/9-14/9 || otonal ||
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| || 0-2-12 || 1-11/9-14/9 || otonal ||
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| || 0-3-12 || 1-4/3-14/9 || otonal ||
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| || 0-4-12 || 1-16/11-14/9 || keenanismic ||
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| || 0-6-12 || 1-16/9-14/9 || otonal ||
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| || 0-8-12 || 1-16/15-14/9 || keenanismic ||
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| || 0-9-12 || 1-7/6-14/9 || utonal ||
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| || 0-10-12 || 1-14/11-14/9 || utonal ||
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| || 0-11-12 || 1-7/5-14/9 || utonal ||
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| || 0-2-14 || 1-6/5-28/15 || otonal ||
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| || 0-3-14 || 1-4/3-28/15 || otonal ||
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| || 0-4-14 || 1-22/15-28/15 || otonal ||
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| || 0-5-14 || 1-8/5-28/15 || otonal ||
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| || 0-6-14 || 1-7/4-28/15 || utonal ||
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| || 0-8-14 || 1-16/15-28/15 || otonal ||
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| || 0-9-14 || 1-7/6-28/15 || utonal ||
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| || 0-10-14 || 1-14/11-28/15 || utonal ||
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| || 0-11-14 || 1-7/5-28/15 || utonal ||
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| || 0-12-14 || 1-14/9-28/15 || utonal ||
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| =Tetrads=
| | Though we are used to thinking of 4:5:6 as the definitive "major chord", with all inversions coming from that, there is nothing definitive about calling these lists below "chord" or "inversion". That is just the way the generators came out. |
| || Chord || Transversal || Type ||
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| || 0-1-2-3 || 1-10/9-11/9-4/3 || otonal ||
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| || 0-1-2-4 || 1-11/10-11/9-22/15 || utonal ||
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| || 0-1-3-4 || 1-10/9-4/3-22/15 || otonal ||
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| || 0-1-2-5 || 1-11/10-6/5-8/5 || otonal ||
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| || 0-1-3-5 || 1-11/10-4/3-8/5 || ptolemismic ||
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| || 0-1-4-5 || 1-11/10-16/11-8/5 || biyatismic ||
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| || 0-2-3-5 || 1-6/5-4/3-8/5 || ambitonal ||
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| =Pentads=
| | The '''bolded''' inversions are named using [[ups and downs]] as described on the [[Pergen]] page. The pergen is (P8, P4/3) third-of-a-4th, #7 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. One up is -7 generators, octave-reduced, which is a third-sharp. Thus ^<sup>3</sup>C = C# and the [[enharmonic unison]] is v<sup>3</sup>A1. The generator is vM2 = 167¢ - ''c''/3, where ''c'' is the amount in cents the tempered fifth exceeds 700¢. ^1 = 33¢ + 2.33''c''. In 22edo, ^1 = 1\22 = 54.5¢. |
| || Chord || Transversal || Type ||
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| || || || ||
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| || 0-1-2-3-6 || 1-10/9-11/9-4/3-16/9 || otonal ||
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| || 0-2-3-4-6 || || ||
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| || 0-3-4-5-6 || || ||
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| || 0-2-4-6-8 || || ||
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| =Hexads= </pre></div>
| | In porcupine, 5/4 = vM3, 7/4 = m7 and 11/8 = ^4. Thus ^1 equals ~81/80 and ~33/32. This may not be true for other (P8, P4/3) temperaments. So the ratios in the table below are specific to Porcupine, but the chord names apply to any (P8, P4/3) temperament. |
| <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"><html><head><title>Chords of porcupine</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="/Porcupine">porcupine temperament</a> 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, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.<br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
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| <table class="wiki_table">
| | {| class="wikitable center-all" |
| <tr>
| | |+Porcupine's genchain |
| <td>Chord<br />
| | ! Genspan |
| </td>
| | ! 0 |
| <td>Transversal<br />
| | ! 1 |
| </td>
| | ! 2 |
| <td>Type<br />
| | ! 3 |
| </td>
| | ! 4 |
| </tr>
| | ! 5 |
| <tr>
| | ! 6 |
| <td>0-1-2<br />
| | ! 7 |
| </td>
| | ! 8 |
| <td>1-11/10-6/5<br />
| | ! 9 |
| </td>
| | ! 10 |
| <td>otonal<br />
| | ! 11 |
| </td>
| | ! 12 |
| </tr>
| | ! 13 |
| <tr>
| | ! 14 |
| <td>0-1-3<br />
| | |- |
| </td>
| | ! Cents (22edo) |
| <td>1-10/9-4/3<br />
| | | 0 |
| </td>
| | | 164 |
| <td>otonal<br />
| | | 327 |
| </td>
| | | 491 |
| </tr>
| | | 655 |
| <tr>
| | | 818 |
| <td>0-2-3<br />
| | | 982 |
| </td>
| | | 1145 |
| <td>1-11/9-4/3<br />
| | | 109 |
| </td>
| | | 273 |
| <td>otonal<br />
| | | 436 |
| </td>
| | | 600 |
| </tr>
| | | 764 |
| <tr>
| | | 927 |
| <td>0-1-4<br />
| | | 1091 |
| </td>
| | |- |
| <td>1-12/11-16/11<br />
| | ! Ratio |
| </td>
| | | 1/1 |
| <td>otonal<br />
| | | 10/9<br>11/10 |
| </td>
| | | 6/5<br>11/9 |
| </tr>
| | | 4/3 |
| <tr>
| | | 16/11 |
| <td>0-2-4<br />
| | | 8/5 |
| </td>
| | | 16/9<br>7/4 |
| <td>1-6/5-16/11<br />
| | | 48/25<br>160/81 |
| </td>
| | | 16/15<br>21/20 |
| <td>otonal<br />
| | | 7/6 |
| </td>
| | | 14/11 |
| </tr>
| | | 7/5 |
| <tr>
| | | 14/9 |
| <td>0-3-4<br />
| | | |
| </td>
| | | 28/15 |
| <td>1-4/3-16/11<br />
| | |- |
| </td>
| | ! Interval |
| <td>utonal<br />
| | | '''P1''' |
| </td>
| | | vM2 |
| </tr>
| | | ^m3 |
| <tr>
| | | '''P4''' |
| <td>0-1-5<br />
| | | v5 |
| </td>
| | | ^m6 |
| <td>1-11/10-8/5<br />
| | | '''m7''' |
| </td>
| | | v8 |
| <td>otonal<br />
| | | ^m2 |
| </td>
| | | '''m3''' |
| </tr>
| | | v4 |
| <tr>
| | | ^b5 |
| <td>0-2-5<br />
| | | '''m6''' |
| </td>
| | | vm7 |
| <td>1-6/5-8/5<br />
| | | ^d8 |
| </td>
| | |- |
| <td>otonal<br />
| | ! Note (in C) |
| </td>
| | | '''C''' |
| </tr>
| | | vD |
| <tr>
| | | ^Eb |
| <td>0-3-5<br />
| | | '''F''' |
| </td>
| | | vG |
| <td>1-4/3-8/5<br />
| | | ^Ab |
| </td>
| | | '''Bb''' |
| <td>utonal<br />
| | | vC |
| </td>
| | | ^Db |
| </tr>
| | | '''Eb''' |
| <tr>
| | | vF |
| <td>0-4-5<br />
| | | ^Gb |
| </td>
| | | '''Ab''' |
| <td>1-16/11-8/5<br />
| | | vBb |
| </td>
| | | ^Cb |
| <td>utonal<br />
| | |} |
| </td>
| | {{Todo|inline=1|complete table|research|comment=Both tetrads and pentads are incomplete. Add the missing chords.}} |
| </tr>
| |
| <tr>
| |
| <td>0-1-6<br />
| |
| </td>
| |
| <td>1-11/10-7/4<br />
| |
| </td>
| |
| <td>valinorsmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-2-6<br />
| |
| </td>
| |
| <td>1-10/9-16/9<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-3-6<br />
| |
| </td>
| |
| <td>1-4/3-16/9<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>0-4-6<br />
| |
| </td>
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| <td>1-16/11-16/9<br />
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| </td>
| |
| <td>utonal<br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-5-6<br />
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| </td>
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| <td>1-8/5-7/4<br />
| |
| </td>
| |
| <td>valinorsmic<br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-2-8<br />
| |
| </td>
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| <td>1-6/5-16/15<br />
| |
| </td>
| |
| <td>ambitonal<br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-3-8<br />
| |
| </td>
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| <td>1-4/3-16/15<br />
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| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-4-8<br />
| |
| </td>
| |
| <td>1-22/15-16/15<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-5-8<br />
| |
| </td>
| |
| <td>1-8/5-16/15<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>0-6-8<br />
| |
| </td>
| |
| <td>1-16/9-16/15<br />
| |
| </td>
| |
| <td>ambitonal<br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-1-9<br />
| |
| </td>
| |
| <td>1-11/10-7/6<br />
| |
| </td>
| |
| <td>valinorsmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-3-9<br />
| |
| </td>
| |
| <td>1-4/3-7/6<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-4-9<br />
| |
| </td>
| |
| <td>1-16/11-7/6<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-5-9<br />
| |
| </td>
| |
| <td>1-8/5-7/6<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-6-9<br />
| |
| </td>
| |
| <td>1-7/4-7/6<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-8-9<br />
| |
| </td>
| |
| <td>1-16/15-7/6<br />
| |
| </td>
| |
| <td>valinorsmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-1-10<br />
| |
| </td>
| |
| <td>1-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-2-10<br />
| |
| </td>
| |
| <td>1-6/5-14/11<br />
| |
| </td>
| |
| <td>valinorsmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>0-4-10<br />
| |
| </td>
| |
| <td>1-16/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-5-10<br />
| |
| </td>
| |
| <td>1-8/5-14/11<br />
| |
| </td>
| |
| <td>valinorsmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-6-10<br />
| |
| </td>
| |
| <td>1-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-8-10<br />
| |
| </td>
| |
| <td>1-16/15-14/11<br />
| |
| </td>
| |
| <td>valinorsmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-9-10<br />
| |
| </td>
| |
| <td>1-7/6-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-1-11<br />
| |
| </td>
| |
| <td>1-11/10-7/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-2-11<br />
| |
| </td>
| |
| <td>1-6/5-7/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-3-11<br />
| |
| </td>
| |
| <td>1-4/3-7/5<br />
| |
| </td>
| |
| <td>archytas<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-5-11<br />
| |
| </td>
| |
| <td>1-8/5-7/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-6-11<br />
| |
| </td>
| |
| <td>1-7/4-7/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-8-11<br />
| |
| </td>
| |
| <td>1-16/15-7/5<br />
| |
| </td>
| |
| <td>archytas<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-9-11<br />
| |
| </td>
| |
| <td>1-7/6-7/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-10-11<br />
| |
| </td>
| |
| <td>1-14/11-7/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-1-12<br />
| |
| </td>
| |
| <td>1-10/9-14/9<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-2-12<br />
| |
| </td>
| |
| <td>1-11/9-14/9<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-3-12<br />
| |
| </td>
| |
| <td>1-4/3-14/9<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-4-12<br />
| |
| </td>
| |
| <td>1-16/11-14/9<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-6-12<br />
| |
| </td>
| |
| <td>1-16/9-14/9<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-8-12<br />
| |
| </td>
| |
| <td>1-16/15-14/9<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-9-12<br />
| |
| </td>
| |
| <td>1-7/6-14/9<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-10-12<br />
| |
| </td>
| |
| <td>1-14/11-14/9<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-11-12<br />
| |
| </td>
| |
| <td>1-7/5-14/9<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-2-14<br />
| |
| </td>
| |
| <td>1-6/5-28/15<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-3-14<br />
| |
| </td>
| |
| <td>1-4/3-28/15<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-4-14<br />
| |
| </td>
| |
| <td>1-22/15-28/15<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-5-14<br />
| |
| </td>
| |
| <td>1-8/5-28/15<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-6-14<br />
| |
| </td>
| |
| <td>1-7/4-28/15<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-8-14<br />
| |
| </td>
| |
| <td>1-16/15-28/15<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-9-14<br />
| |
| </td>
| |
| <td>1-7/6-28/15<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-10-14<br />
| |
| </td>
| |
| <td>1-14/11-28/15<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-11-14<br />
| |
| </td>
| |
| <td>1-7/5-28/15<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0-12-14<br />
| |
| </td>
| |
| <td>1-14/9-28/15<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | == Triads == |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>
| |
|
| |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td>Chord<br />
| | ! Chord |
| </td>
| | ! Transversal |
| <td>Transversal<br />
| | ! Type |
| </td>
| | ! As generated |
| <td>Type<br />
| | ! 1st inversion |
| </td>
| | ! 2nd inversion |
| </tr>
| | ! Name |
| <tr>
| | |- |
| <td>0-1-2-3<br />
| | | 0-1-2 |
| </td>
| | | 1-11/10-6/5 |
| <td>1-10/9-11/9-4/3<br />
| | | otonal |
| </td>
| | | '''1/1-11/10-6/5''' |
| <td>otonal<br />
| | | 1/1-12/11-20/11 |
| </td>
| | | 1/1-5/3-11/6 |
| </tr>
| | | C^mv9no5 |
| <tr>
| | |- |
| <td>0-1-2-4<br />
| | | 0-1-3 |
| </td>
| | | 1-10/9-4/3 |
| <td>1-11/10-11/9-22/15<br />
| | | otonal |
| </td>
| | | 1/1-10/9-4/3 |
| <td>utonal<br />
| | | '''1/1-6/5-9/5''' |
| </td>
| | | 1/1-3/2-5/3 |
| </tr>
| | | C^m7no5 |
| <tr>
| | |- |
| <td>0-1-3-4<br />
| | | 0-2-3 |
| </td>
| | | 1-11/9-4/3 |
| <td>1-10/9-4/3-22/15<br />
| | | otonal |
| </td>
| | | 1/1-11/9-4/3 |
| <td>otonal<br />
| | | 1/1-12/11-18/11 |
| </td>
| | | '''1/1-3/2-11/6''' |
| </tr>
| | | C^m7no3 |
| <tr>
| | |- |
| <td>0-1-2-5<br />
| | | 0-1-4 |
| </td>
| | | 1-12/11-16/11 |
| <td>1-11/10-6/5-8/5<br />
| | | otonal |
| </td>
| | | 1/1-12/11-16/11 |
| <td>otonal<br />
| | | 1/1-4/3-11/6 |
| </td>
| | | '''1/1-11/8-3/2''' |
| </tr>
| | | C^4 |
| <tr>
| | |- |
| <td>0-1-3-5<br />
| | | 0-2-4 |
| </td>
| | | 1-6/5-22/15 |
| <td>1-11/10-4/3-8/5<br />
| | | otonal |
| </td>
| | | '''1/1-6/5-22/15''' |
| <td>ptolemismic<br />
| | | 1/1-11/9-5/3 |
| </td>
| | | 1/1-15/11-18/11 |
| </tr>
| | | C^m(v5) |
| <tr>
| | |- |
| <td>0-1-4-5<br />
| | | 0-3-4 |
| </td>
| | | 1-4/3-22/15 |
| <td>1-11/10-16/11-8/5<br />
| | | otonal |
| </td>
| | | 1/1-4/3-22/15 |
| <td>biyatismic<br />
| | | '''1/1-11/10-3/2''' |
| </td>
| | | 1/1-15/11-20/11 |
| </tr>
| | | Cv2 |
| <tr>
| | |- |
| <td>0-2-3-5<br />
| | | 0-1-5 |
| </td>
| | | 1-11/10-8/5 |
| <td>1-6/5-4/3-8/5<br />
| | | otonal |
| </td>
| | | 1/1-11/10-8/5 |
| <td>ambitonal<br />
| | | '''1/1-16/11-9/5''' |
| </td>
| | | 1/1-5/4-11/8 |
| </tr>
| | | C^7(v5)no3 |
| </table>
| | |- |
| | | 0-2-5 |
| | | 1-6/5-8/5 |
| | | otonal |
| | | 1/1-6/5-8/5 |
| | | 1/1-4/3-5/3 |
| | | '''1/1-5/4-3/2''' |
| | | Cv |
| | |- |
| | | 0-3-5 |
| | | 1-4/3-8/5 |
| | | utonal |
| | | 1/1-4/3-8/5 |
| | | '''1/1-6/5-3/2''' |
| | | 1/1-5/4-5/3 |
| | | C^m |
| | |- |
| | | 0-4-5 |
| | | 1-22/15-8/5 |
| | | otonal |
| | | 1/1-22/15-8/5 |
| | | 1/1-12/11-15/11 |
| | | '''1/1-5/4-11/6''' |
| | | Cv^7no5 |
| | |- |
| | | 0-1-6 |
| | | 1-10/9-16/9 |
| | | otonal |
| | | 1/1-10/9-16/9 |
| | | 1/1-8/5-9/5 |
| | | '''1/1-9/8-5/4''' |
| | | Cv,9no5 |
| | |- |
| | | 0-2-6 |
| | | 1-11/9-16/9 |
| | | otonal |
| | | 1/1-11/9-16/9 |
| | | 1/1-16/11-5/3 |
| | | '''1/1-9/8-11/8''' |
| | | Csus2(v5) |
| | |- |
| | | 0-3-6 |
| | | 1-4/3-16/9 |
| | | ambitonal |
| | | 1/1-4/3-16/9 |
| | | '''1/1-4/3-3/2''' |
| | | '''1/1-9/8-3/2''' |
| | | C4 ''or'' C2 |
| | |- |
| | | 0-4-6 |
| | | 1-16/11-16/9 |
| | | utonal |
| | | 1/1-16/11-16/9 |
| | | '''1/1-11/9-11/8''' |
| | | 1/1-9/8-5/3 |
| | | C^m^4no5 |
| | |- |
| | | 0-5-6 |
| | | 1-8/5-16/9 |
| | | utonal |
| | | 1/1-8/5-16/9 |
| | | 1/1-10/9-5/4 |
| | | '''1/1-9/8-9/5''' |
| | | C^m9no35 |
| | |- |
| | | 0-2-8 |
| | | 1-6/5-16/15 |
| | | otonal |
| | | 1/1-16/15-6/5 |
| | | '''1/1-9/8-15/8''' |
| | | 1/1-5/3-16/9 |
| | | CvM9no35 |
| | |- |
| | | 0-3-8 |
| | | 1-4/3-16/15 |
| | | ambitonal |
| | | 1/1-16/15-4/3 |
| | | '''1/1-5/4-15/8''' |
| | | 1/1-3/2-8/5 |
| | | CvM7no5 |
| | |- |
| | | 0-4-8 |
| | | 1-22/15-16/15 |
| | | otonal |
| | | 1/1-16/15-22/15 |
| | | 1/1-11/8-15/8 |
| | | '''1/1-15/11-16/11''' |
| | | C^4(v5) |
| | |- |
| | | 0-5-8 |
| | | 1-8/5-16/15 |
| | | ambitonal |
| | | 1/1-16/15-8/5 |
| | | '''1/1-3/2-15/8''' |
| | | 1/1-5/4-4/3 |
| | | CvM7no3 |
| | |- |
| | | 0-6-8 |
| | | 1-16/9-16/15 |
| | | utonal |
| | | 1/1-16/15-16/9 |
| | | 1/1-5/3-15/8 |
| | | '''1/1-9/8-6/5''' |
| | | C^m,9no5 |
| | |- |
| | | 0-1-9 |
| | | 1-11/10-7/6 |
| | | valinorsmic |
| | | '''1/1-11/10-7/6''' |
| | | 1/1-16/15-20/11 |
| | | 1/1-12/7-15/8 |
| | | Cmv9no5 |
| | |- |
| | | 0-3-9 |
| | | 1-4/3-7/6 |
| | | otonal |
| | | 1/1-7/6-4/3 |
| | | 1/1-8/7-12/7 |
| | | '''1/1-3/2-7/4''' |
| | | C7no3 |
| | |- |
| | | 0-4-9 |
| | | 1-16/11-7/6 |
| | | keenanismic |
| | | 1/1-7/6-16/11 |
| | | '''1/1-5/4-12/7''' |
| | | 1/1-11/8-8/5 |
| | | Cv,6no5 |
| | |- |
| | | 0-5-9 |
| | | 1-8/5-7/6 |
| | | keenanismic |
| | | 1/1-7/6-8/5 |
| | | 1/1-11/8-12/7 |
| | | '''1/1-5/4-16/11''' |
| | | Cv(v5) |
| | |- |
| | | 0-6-9 |
| | | 1-7/4-7/6 |
| | | utonal |
| | | '''1/1-7/6-7/4''' |
| | | 1/1-3/2-12/7 |
| | | 1/1-8/7-4/3 |
| | | Cm7no5 |
| | |- |
| | | 0-8-9 |
| | | 1-16/15-7/6 |
| | | valinorsmic |
| | | '''1/1-16/15-7/6''' |
| | | 1/1-11/10-15/8 |
| | | 1/1-12/7-20/11 |
| | | Cm^b9no5 |
| | |- |
| | | 0-1-10 |
| | | 1-12/11-14/11 |
| | | otonal |
| | | 1/1-12/11-14/11 |
| | | '''1/1-7/6-11/6''' |
| | | 1/1-11/7-12/7 |
| | | Cm^7no5 |
| | |- |
| | | 0-2-10 |
| | | 1-6/5-14/11 |
| | | valinorsmic |
| | | 1/1-6/5-14/11 |
| | | 1/1-16/15-5/3 |
| | | '''1/1-11/7-15/8''' |
| | | CvM7(^5)no3 |
| | |- |
| | | 0-4-10 |
| | | 1-16/11-14/11 |
| | | otonal |
| | | 1/1-14/11-16/11 |
| | | 1/1-8/7-11/7 |
| | | '''1/1-11/8-7/4''' |
| | | C7(^4)no5 |
| | |- |
| | | 0-5-10 |
| | | 1-8/5-14/11 |
| | | valinorsmic |
| | | 1/1-14/11-8/5 |
| | | 1/1-5/4-11/7 |
| | | '''1/1-5/4-8/5''' |
| | | Cv^b6 |
| | |- |
| | | 0-6-10 |
| | | 1-7/4-14/11 |
| | | utonal |
| | | '''1/1-14/11-7/4''' |
| | | 1/1-11/8-11/7 |
| | | 1/1-8/7-16/11 |
| | | C7(v4)no5 |
| | |- |
| | | 0-8-10 |
| | | 1-16/15-14/11 |
| | | valinorsmic |
| | | 1/1-16/15-14/11 |
| | | '''1/1-6/5-15/8''' |
| | | 1/1-11/7-5/3 |
| | | C^mvM7 |
| | |- |
| | | 0-9-10 |
| | | 1-7/6-14/11 |
| | | utonal |
| | | '''1/1-7/6-14/11''' |
| | | 1/1-12/11-12/7 |
| | | 1/1-11/7-11/6 |
| | | Cm,v11no5 |
| | |- |
| | | 0-1-11 |
| | | 1-11/10-7/5 |
| | | otonal |
| | | 1/1-11/10-7/5 |
| | | '''1/1-14/11-20/11''' |
| | | 1/1-10/7-11/7 |
| | | C^7(v4)no5 |
| | |- |
| | | 0-2-11 |
| | | 1-6/5-7/5 |
| | | otonal |
| | | '''1/1-6/5-7/5''' |
| | | 1/1-7/6-5/3 |
| | | 1/1-10/7-12/7 |
| | | C^m(vv5) |
| | |- |
| | | 0-3-11 |
| | | 1-4/3-7/5 |
| | | archytas |
| | | 1/1-4/3-7/5 |
| | | '''1/1-16/15-3/2''' |
| | | 1/1-10/7-15/8 |
| | | C^b2 |
| | |- |
| | | 0-5-11 |
| | | 1-8/5-7/5 |
| | | otonal |
| | | 1/1-7/5-8/5 |
| | | 1/1-8/7-10/7 |
| | | '''1/1-5/4-7/4''' |
| | | Cv,7no5 |
| | |- |
| | | 0-6-11 |
| | | 1-7/4-7/5 |
| | | utonal |
| | | '''1/1-7/5-7/4''' |
| | | 1/1-5/4-10/7 |
| | | 1/1-8/7-8/5 |
| | | C7(vv5)no3 |
| | |- |
| | | 0-8-11 |
| | | 1-16/15-7/5 |
| | | archytas |
| | | 1/1-16/15-7/5 |
| | | '''1/1-4/3-15/8''' |
| | | 1/1-10/7-3/2 |
| | | CvM7(4) |
| | |- |
| | | 0-9-11 |
| | | 1-7/6-7/5 |
| | | utonal |
| | | '''1/1-7/6-7/5''' |
| | | 1/1-6/5-12/7 |
| | | 1/1-10/7-5/3 |
| | | Cm(vv5) |
| | |- |
| | | 0-10-11 |
| | | 1-14/11-7/5 |
| | | utonal |
| | | '''1/1-14/11-7/5''' |
| | | 1/1-11/10-11/7 |
| | | 1/1-10/7-20/11 |
| | | Cv4(vv5) |
| | |- |
| | | 0-1-12 |
| | | 1-10/9-14/9 |
| | | otonal |
| | | 1/1-10/9-14/9 |
| | | 1/1-7/5-9/5 |
| | | '''1/1-9/7-10/7''' |
| | | C,^^11no5 |
| | |- |
| | | 0-2-12 |
| | | 1-11/9-14/9 |
| | | otonal |
| | | 1/1-11/9-14/9 |
| | | 1/1-14/11-18/11 |
| | | '''1/1-9/7-11/7''' |
| | | C(^5) |
| | |- |
| | | 0-3-12 |
| | | 1-4/3-14/9 |
| | | otonal |
| | | 1/1-4/3-14/9 |
| | | '''1/1-7/6-3/2''' |
| | | 1/1-9/7-12/7 |
| | | Cm |
| | |- |
| | | 0-4-12 |
| | | 1-16/11-14/9 |
| | | keenanismic |
| | | 1/1-16/11-14/9 |
| | | 1/1-16/15-11/8 |
| | | '''1/1-9/7-15/8''' |
| | | C,vM7no5 |
| | |- |
| | | 0-6-12 |
| | | 1-16/9-14/9 |
| | | otonal |
| | | 1/1-14/9-16/9 |
| | | 1/1-8/7-9/7 |
| | | '''1/1-9/8-7/4''' |
| | | C9no35 |
| | |- |
| | | 0-8-12 |
| | | 1-16/15-14/9 |
| | | keenanismic |
| | | 1/1-16/15-14/9 |
| | | 1/1-16/11-15/8 |
| | | '''1/1-9/7-11/8''' |
| | | C,^11no5 |
| | |- |
| | | 0-9-12 |
| | | 1-7/6-14/9 |
| | | utonal |
| | | 1/1-7/6-14/9 |
| | | 1/1-4/3-12/7 |
| | | '''1/1-9/7-3/2''' |
| | | C |
| | |- |
| | | 0-10-12 |
| | | 1-14/11-14/9 |
| | | utonal |
| | | 1/1-14/11-14/9 |
| | | 1/1-11/9-11/7 |
| | | '''1/1-9/7-18/11''' |
| | | C,v6no5 |
| | |- |
| | | 0-11-12 |
| | | 1-7/5-14/9 |
| | | utonal |
| | | 1/1-7/5-14/9 |
| | | 1/1-10/9-10/7 |
| | | '''1/1-9/7-9/5''' |
| | | C,^7no5 |
| | |- |
| | | 0-2-14 |
| | | 1-6/5-28/15 |
| | | otonal |
| | | 1/1-6/5-28/15 |
| | | 1/1-14/9-5/3 |
| | | 1/1-15/14-9/7 |
| | | |
| | |- |
| | | 0-3-14 |
| | | 1-4/3-28/15 |
| | | otonal |
| | | 1/1-4/3-28/15 |
| | | 1/1-7/5-3/2 |
| | | 1/1-15/14-10/7 |
| | | |
| | |- |
| | | 0-4-14 |
| | | 1-22/15-28/15 |
| | | otonal |
| | | 1/1-22/15-28/15 |
| | | 1/1-14/11-15/11 |
| | | 1/1-15/14-11/7 |
| | | |
| | |- |
| | | 0-5-14 |
| | | 1-8/5-28/15 |
| | | otonal |
| | | 1/1-8/5-28/15 |
| | | 1/1-7/6-5/4 |
| | | 1/1-15/14-12/7 |
| | | |
| | |- |
| | | 0-6-14 |
| | | 1-7/4-28/15 |
| | | utonal |
| | | 1/1-7/4-28/15 |
| | | 1/1-16/15-8/7 |
| | | 1/1-15/14-15/8 |
| | | |
| | |- |
| | | 0-8-14 |
| | | 1-16/15-28/15 |
| | | otonal |
| | | 1/1-16/15-28/15 |
| | | 1/1-7/4-15/8 |
| | | 1/1-15/14-8/7 |
| | | |
| | |- |
| | | 0-9-14 |
| | | 1-7/6-28/15 |
| | | utonal |
| | | 1/1-7/6-28/15 |
| | | 1/1-8/5-12/7 |
| | | 1/1-15/14-5/4 |
| | | |
| | |- |
| | | 0-10-14 |
| | | 1-14/11-28/15 |
| | | utonal |
| | | 1/1-14/11-28/15 |
| | | 1/1-22/15-11/7 |
| | | 1/1-15/14-15/11 |
| | | |
| | |- |
| | | 0-11-14 |
| | | 1-7/5-28/15 |
| | | utonal |
| | | 1/1-7/5-28/15 |
| | | 1/1-4/3-10/7 |
| | | 1/1-15/14-3/2 |
| | | |
| | |- |
| | | 0-12-14 |
| | | 1-14/9-28/15 |
| | | utonal |
| | | 1/1-14/9-28/15 |
| | | 1/1-6/5-9/7 |
| | | 1/1-15/14-5/3 |
| | | |
| | |} |
|
| |
|
| <br />
| | == Tetrads == |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>
| |
|
| |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td>Chord<br />
| | ! Chord |
| </td>
| | ! Transversal |
| <td>Transversal<br />
| | ! Type |
| </td>
| | ! As generated |
| <td>Type<br />
| | ! First inversion |
| </td>
| | ! Second inversion |
| </tr>
| | ! Third inversion |
| <tr>
| | ! Name |
| <td><br />
| | |- |
| </td>
| | | 0-1-2-3 |
| <td><br />
| | | 1-10/9-11/9-4/3 |
| </td>
| | | otonal |
| <td><br />
| | | 1/1-10/9-11/9-4/3 |
| </td>
| | | 1/1-11/10-6/5-9/5 |
| </tr>
| | | 1/1-12/11-18/11-20/11 |
| <tr>
| | | '''1/1-3/2-5/3-11/6''' |
| <td>0-1-2-3-6<br />
| | | Cv6^7no3 |
| </td>
| | |- |
| <td>1-10/9-11/9-4/3-16/9<br />
| | | 0-1-2-4 |
| </td>
| | | 1-11/10-11/9-22/15 |
| <td>otonal<br />
| | | utonal |
| </td>
| | | 1/1-11/10-11/9-22/15 |
| </tr>
| | | 1/1-10/9-4/3-20/11 |
| <tr>
| | | 1/1-6/5-18/11-9/5 |
| <td>0-2-3-4-6<br />
| | | '''1/1-15/11-3/2-5/3''' |
| </td>
| | | Cv6(^4) |
| <td><br />
| | |- |
| </td>
| | | 0-1-3-4 |
| <td><br />
| | | 1-10/9-4/3-22/15 |
| </td>
| | | ptolemismic |
| </tr>
| | | 1/1-10/9-4/3-22/15 |
| <tr>
| | | 1/1-6/5-4/3-9/5 |
| <td>0-3-4-5-6<br />
| | | '''1/1-11/10-3/2-5/3''' |
| </td>
| | | 1/1-15/11-3/2-20/11 |
| <td><br />
| | | Cv2v6 |
| </td>
| | |- |
| <td><br />
| | | 0-1-2-5 |
| </td>
| | | 1-11/10-6/5-8/5 |
| </tr>
| | | otonal |
| <tr>
| | | 1/1-11/10-6/5-8/5 |
| <td>0-2-4-6-8<br />
| | | 1/1-12/11-16/11-20/11 |
| </td>
| | | 1/1-4/3-5/3-11/6 |
| <td><br />
| | | '''1/1-5/4-11/8-3/2''' |
| </td>
| | | Cv^4 |
| <td><br />
| | |- |
| </td>
| | | 0-1-3-5 |
| </tr>
| | | 1-11/10-4/3-8/5 |
| </table>
| | | ptolemismic |
| | | 1/1-11/10-4/3-8/5 |
| | | 1/1-6/5-16/11-20/11 |
| | | '''1/1-6/5-3/2-5/3''' |
| | | 1/1-5/4-11/8-5/3 |
| | | C^mv6 |
| | |- |
| | | 0-1-4-5 |
| | | 1-11/10-16/11-8/5 |
| | | biyatismic |
| | | 1/1-11/10-16/11-8/5 |
| | | 1/1-4/3-16/11-20/11 |
| | | '''1/1-11/10-11/8-3/2''' |
| | | 1/1-5/4-11/8-20/11 |
| | | C^4v9 |
| | |- |
| | | 0-2-3-5 |
| | | 1-6/5-4/3-8/5 |
| | | ambitonal |
| | | 1/1-6/5-4/3-8/5 |
| | | 1/1-10/9-4/3-5/3 |
| | | '''1/1-6/5-3/2-9/5''' |
| | | '''1/1-5/4-3/2-5/3''' |
| | | Cv6 ''or'' C^m7 |
| | |- |
| | | 0-2-4-5 |
| | | 1-6/5-16/11-8/5 |
| | | ptolemismic |
| | | 1/1-6/5-16/11-8/5 |
| | | 1/1-6/5-4/3-5/3 |
| | | 1/1-11/10-11/8-5/3 |
| | | '''1/1-5/4-3/2-9/5''' |
| | | Cv^7 |
| | |- |
| | | 0-2-4-6 |
| | | 1-6/5-16/11-7/4 |
| | | keemic |
| | | '''1/1-6/5-16/11-7/4''' |
| | | 1/1-6/5-16/11-5/3 |
| | | '''1/1-6/5-11/8-5/3''' |
| | | 1/1-8/7-11/8-5/3 |
| | | C^m,7(v5) ''or''<br>C^mv6^11no5 |
| | |- |
| | | 0-3-6-9 |
| | | 1-4/3-7/4-7/6 |
| | | archytas |
| | | 1/1/1-7/6-4/3-7/4 |
| | | 1/1-8/7-3/2-12/7 |
| | | '''1/1-4/3-3/2-7/4''' |
| | | 1/1-8/7-4/3-3/2 |
| | | C7sus4 |
| | |- |
| | | 0-3-9-12 |
| | | 1-4/3-7/6-14/9 |
| | | archytas |
| | | 1/1-7/6-4/3-14/9 |
| | | '''1/1-7/6-3/2-7/4''' |
| | | 1/1-9/8-4/3-12/7 |
| | | 1/1-9/7-3/2-12/7 |
| | | Cm7 ''or'' C6 |
| | |- |
| | | 0-4-8-12 |
| | | 1-16/11-16/15-14/9 |
| | | zeus |
| | | 1/1-16/15-16/11-14/9 |
| | | 1/1-15/11-16/11-15/8 |
| | | 1/1-16/15-11/8-22/15 |
| | | '''1/1-9/7-11/8-15/8''' |
| | | C,vM7^11no5 |
| | |} |
|
| |
|
| <br />
| | == Pentads == |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>
| | {| class="wikitable" |
| </body></html></pre></div>
| | |- |
| | ! Chord |
| | ! Transversal |
| | ! Type |
| | ! Name |
| | |- |
| | | 0-1-2-3-6 |
| | | 1-10/9-11/9-4/3-16/9 |
| | | otonal |
| | | Cv,9^11 |
| | |- |
| | | 0-2-3-4-6 |
| | | 1-6/5-4/3-16/11-16/9 |
| | | keemic |
| | | C^m,7,11(v5) ''or''<br>C4^7v9 ''or'' C^4v6,9 |
| | |- |
| | | 0-3-4-5-6 |
| | | 1-4/3-16/11-8/5-16/9 |
| | | utonal |
| | | C^mv9,11 |
| | |- |
| | | 0-2-4-6-8 |
| | | 1-6/5-16/11-7/4-16/15 |
| | | porcupine |
| | | C^m,7(v5) ''or''<br>C^mv6^11no5 |
| | |- |
| | | 0-3-6-9-12 |
| | | 1-4/3-7/4-7/6-14/9 |
| | | archytas |
| | | C9(4) ''or'' C6,9 ''or'' Cm7,11 |
| | |} |
| | |
| | [[Category:Lists of chords]] |
| | [[Category:Porcupine]] |
| | [[Category:Triads]] |
| | [[Category:Tetrads]] |
| | [[Category:Pentads]] |