Superpyth: Difference between revisions
Wikispaces>keenanpepper **Imported revision 246433831 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 246562811 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-17 | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-17 17:28:42 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>246562811</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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===Full 11-limit suprapyth=== | ===Full 11-limit suprapyth=== | ||
|| 604.44 || 1094.94 || 385.45 || 875.96 || 166.46 || 656.97 || 1147.47 || 437.98 || 928.48 || 218.99 || 709.49 || 0 || 490.51 || 981.01 || 271.52 || 762.02 || 52.53 || 543.03 || 1033.54 || 324.04 || 814.55 || 105.06 || 595.56 || | || 604.44 || 1094.94 || 385.45 || 875.96 || 166.46 || 656.97 || 1147.47 || 437.98 || 928.48 || 218.99 || 709.49 || 0 || 490.51 || 981.01 || 271.52 || 762.02 || 52.53 || 543.03 || 1033.54 || 324.04 || 814.55 || 105.06 || 595.56 || | ||
|| 10/7 || 15/8 || 5/4 || 18/11~5/3 || 12/11~10/9 || 16/11 || 27/14 || 14/11~9/7 || 12/7 || 9/8~8/7 || 3/2 || 1/1 || 4/3 || 7/4~16/9 || 7/6 || 14/9~11/7 || 33/32~28/27 || 11/8 || 9/5~11/6 || 6/5~11/9 || 8/5 || 16/15 || 7/5 ||</pre></div> | || 10/7 || 15/8 || 5/4 || 18/11~5/3 || 12/11~10/9 || 16/11 || 27/14 || 14/11~9/7 || 12/7 || 9/8~8/7 || 3/2 || 1/1 || 4/3 || 7/4~16/9 || 7/6 || 14/9~11/7 || 33/32~28/27 || 11/8 || 9/5~11/6 || 6/5~11/9 || 8/5 || 16/15 || 7/5 || | ||
==MOSes== | |||
===5-note (LsLss, proper)=== | |||
See [[2L 3s]]. | |||
===7-note (LLLsLLs, improper)=== | |||
See [[5L 2s]]. In contrast to the meantone diatonic scale, the superpyth diatonic is slightly improper. | |||
===12-note (LsLsLssLsLss, borderline improper)=== | |||
See [[5L 7s]]. The boundary of propriety is [[17edo]]. | |||
</pre></div> | |||
<h4>Original HTML content:</h4> | <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>Superpyth</title></head><body>Superpyth, a member of the <a class="wiki_link" href="/Archytas%20clan">Archytas clan</a>, has 4/3 as a generator, and the Archytas comma 64/63 is tempered out, so two generators represents 7/4 in addition to 16/9. Since 4/3 is a generator we can use the same standard chain-of-fourths notation that is also used for <a class="wiki_link" href="/meantone">meantone</a> and <a class="wiki_link" href="/12edo">12edo</a>, with the understanding that, for example, A# is sharper than Bb (in contrast to meantone where A# is flatter than Bb, or 12edo where they are identical).<br /> | <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>Superpyth</title></head><body>Superpyth, a member of the <a class="wiki_link" href="/Archytas%20clan">Archytas clan</a>, has 4/3 as a generator, and the Archytas comma 64/63 is tempered out, so two generators represents 7/4 in addition to 16/9. Since 4/3 is a generator we can use the same standard chain-of-fourths notation that is also used for <a class="wiki_link" href="/meantone">meantone</a> and <a class="wiki_link" href="/12edo">12edo</a>, with the understanding that, for example, A# is sharper than Bb (in contrast to meantone where A# is flatter than Bb, or 12edo where they are identical).<br /> | ||
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</table> | </table> | ||
</body></html></pre></div> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-MOSes"></a><!-- ws:end:WikiTextHeadingRule:10 -->MOSes</h2> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x-MOSes-5-note (LsLss, proper)"></a><!-- ws:end:WikiTextHeadingRule:12 -->5-note (LsLss, proper)</h3> | |||
See <a class="wiki_link" href="/2L%203s">2L 3s</a>.<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x-MOSes-7-note (LLLsLLs, improper)"></a><!-- ws:end:WikiTextHeadingRule:14 -->7-note (LLLsLLs, improper)</h3> | |||
See <a class="wiki_link" href="/5L%202s">5L 2s</a>. In contrast to the meantone diatonic scale, the superpyth diatonic is slightly improper.<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x-MOSes-12-note (LsLsLssLsLss, borderline improper)"></a><!-- ws:end:WikiTextHeadingRule:16 -->12-note (LsLsLssLsLss, borderline improper)</h3> | |||
See <a class="wiki_link" href="/5L%207s">5L 7s</a>. The boundary of propriety is <a class="wiki_link" href="/17edo">17edo</a>.</body></html></pre></div> | |||