Xenharmonic Wiki

List of anomalous saturated suspensions

Revision as of 16:36, 8 August 2016 by Wikispaces>clumma (**Imported revision 588924478 - Original comment: **)

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Original Wikitext content:

Below is a complete list of [[http://x31eq.com/ass.htm|Anomalous Saturated Suspensions]] through the 23-limit. Each chord listed has a [[Otonality and utonality|utonal]] inverse, which is also an ASS. Chords which are self-inverse are marked with an asterisk.

||~ Odd Limit ||~ Harmonic Series ||~ Scale ||~ Scale Name ||
|| 9 || 3:5:9:15 || 1/1 6/5 3/2 9/5 ||  ||
|| 9 || 3:7:9:21 || 1/1 7/6 3/2 7/4 ||  ||
|| 11 || 3:9:11:33 || 1/1 11/8 3/2 11/6 ||  ||
|| 13 || 3:9:13:39 || 1/1 13/12 3/2 13/8 ||  ||
|| 15 || 3:7:9:15:21 || 1/1 7/6 5/4 3/2 7/4 || Hendrix ||
|| 15 || 15:21:35:45:105 || 1/1 7/6 7/5 3/2 7/4 || Inverted Hendrix ||
|| 15 || 3:9:11:15:33 || 1/1 5/4 11/8 3/2 11/6 || 11-Hendrix ||
|| 15 || 15:33:45:55:165 || 1/1 11/10 11/8 3/2 11/6 || Inverted 11-Hendrix ||
|| 15 || 3:9:13:15:39 || 1/1 13/12 5/4 3/2 13/8 || 13-Hendrix ||
|| 15 || 15:39:45:65:195 || 1/1 13/12 13/10 3/2 13/8 || Inverted 13-Hendrix ||
|| 17 || 3:9:15:17:51 || 1/1 17/16 5/4 17/12 3/2 || 17-Hendrix ||
|| 17 || 15:45:51:85:255 || 1/1 17/16 17/12 3/2 17/10 || Inverted 17-Hendrix ||
|| 19 || 3:9:15:19:57 || 1/1 19/16 5/4 3/2 19/12 || 19-Hendrix ||
|| 19 || 15:45:57:95:285 || 1/1 19/16 3/2 19/12 19/10 || Inverted 19-Hendrix ||
|| 21 || 5:15:21:35:45:105 || 1/1 21/20 9/8 21/16 3/2 7/4 ||  ||
|| 21 || 3:5:9:15:21:45 || 1/1 15/14 9/8 9/7 3/2 12/7 ||  ||
|| 21 || 7:15:21:35:63:105 || 1/1 15/14 9/8 5/4 3/2 15/8 ||  ||
|| 21 || 3:7:9:15:21:63 || 1/1 21/20 9/8 6/5 3/2 9/5 ||  ||
|| 21 || 3:9:11:15:21:33 || 1/1 5/4 11/8 3/2 7/4 11/6 ||  ||
|| 21 || 105:165:231:315:385:1155 || 1/1 12/11 6/5 3/2 18/11 12/7 ||  ||
|| 21 || 3:9:13:15:21:39 || 1/1 13/12 5/4 3/2 13/8 7/4 ||  ||
|| 21 || 105:195:273:315:455:1365 || 1/1 6/5 18/13 3/2 12/7 24/13 ||  ||
|| 21 || 3:9:15:17:21:51 || 1/1 17/16 5/4 17/12 3/2 7/4 ||  ||
|| 21 || 105:255:315:357:595:1785 || 1/1 18/17 6/5 24/17 3/2 12/7 ||  ||
|| 21 || 3:9:15:19:21:57 || 1/1 19/16 5/4 3/2 19/12 7/4 ||  ||
|| 21 || 105:285:315:399:665:1995 || 1/1 6/5 24/19 3/2 12/7 36/19 ||  ||
|| 23 || 3:9:15:21:23:69 || 1/1 5/4 23/16 3/2 7/4 23/12 ||  ||
|| 23 || 105:315:345:483:805:2415 || 1/1 24/23 6/5 3/2 36/23 12/7 ||  ||

Original HTML content:

<html><head><title>Anomalous Saturated Suspensions</title></head><body>Below is a complete list of <a class="wiki_link_ext" href="http://x31eq.com/ass.htm" rel="nofollow">Anomalous Saturated Suspensions</a> through the 23-limit. Each chord listed has a <a class="wiki_link" href="/Otonality%20and%20utonality">utonal</a> inverse, which is also an ASS. Chords which are self-inverse are marked with an asterisk.<br />
<br />


<table class="wiki_table">
    <tr>
        <th>Odd Limit<br />
</th>
        <th>Harmonic Series<br />
</th>
        <th>Scale<br />
</th>
        <th>Scale Name<br />
</th>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>3:5:9:15<br />
</td>
        <td>1/1 6/5 3/2 9/5<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>3:7:9:21<br />
</td>
        <td>1/1 7/6 3/2 7/4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>3:9:11:33<br />
</td>
        <td>1/1 11/8 3/2 11/6<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>3:9:13:39<br />
</td>
        <td>1/1 13/12 3/2 13/8<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>3:7:9:15:21<br />
</td>
        <td>1/1 7/6 5/4 3/2 7/4<br />
</td>
        <td>Hendrix<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>15:21:35:45:105<br />
</td>
        <td>1/1 7/6 7/5 3/2 7/4<br />
</td>
        <td>Inverted Hendrix<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>3:9:11:15:33<br />
</td>
        <td>1/1 5/4 11/8 3/2 11/6<br />
</td>
        <td>11-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>15:33:45:55:165<br />
</td>
        <td>1/1 11/10 11/8 3/2 11/6<br />
</td>
        <td>Inverted 11-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>3:9:13:15:39<br />
</td>
        <td>1/1 13/12 5/4 3/2 13/8<br />
</td>
        <td>13-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>15:39:45:65:195<br />
</td>
        <td>1/1 13/12 13/10 3/2 13/8<br />
</td>
        <td>Inverted 13-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>3:9:15:17:51<br />
</td>
        <td>1/1 17/16 5/4 17/12 3/2<br />
</td>
        <td>17-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>15:45:51:85:255<br />
</td>
        <td>1/1 17/16 17/12 3/2 17/10<br />
</td>
        <td>Inverted 17-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>3:9:15:19:57<br />
</td>
        <td>1/1 19/16 5/4 3/2 19/12<br />
</td>
        <td>19-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>15:45:57:95:285<br />
</td>
        <td>1/1 19/16 3/2 19/12 19/10<br />
</td>
        <td>Inverted 19-Hendrix<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>5:15:21:35:45:105<br />
</td>
        <td>1/1 21/20 9/8 21/16 3/2 7/4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>3:5:9:15:21:45<br />
</td>
        <td>1/1 15/14 9/8 9/7 3/2 12/7<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>7:15:21:35:63:105<br />
</td>
        <td>1/1 15/14 9/8 5/4 3/2 15/8<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>3:7:9:15:21:63<br />
</td>
        <td>1/1 21/20 9/8 6/5 3/2 9/5<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>3:9:11:15:21:33<br />
</td>
        <td>1/1 5/4 11/8 3/2 7/4 11/6<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>105:165:231:315:385:1155<br />
</td>
        <td>1/1 12/11 6/5 3/2 18/11 12/7<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>3:9:13:15:21:39<br />
</td>
        <td>1/1 13/12 5/4 3/2 13/8 7/4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>105:195:273:315:455:1365<br />
</td>
        <td>1/1 6/5 18/13 3/2 12/7 24/13<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>3:9:15:17:21:51<br />
</td>
        <td>1/1 17/16 5/4 17/12 3/2 7/4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>105:255:315:357:595:1785<br />
</td>
        <td>1/1 18/17 6/5 24/17 3/2 12/7<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>3:9:15:19:21:57<br />
</td>
        <td>1/1 19/16 5/4 3/2 19/12 7/4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>105:285:315:399:665:1995<br />
</td>
        <td>1/1 6/5 24/19 3/2 12/7 36/19<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>3:9:15:21:23:69<br />
</td>
        <td>1/1 5/4 23/16 3/2 7/4 23/12<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>105:315:345:483:805:2415<br />
</td>
        <td>1/1 24/23 6/5 3/2 36/23 12/7<br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>
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