Hendecatonic MOS: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 278880582 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 278913820 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-24 | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-24 23:34:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>278913820</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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Range: 0¢ to 109.091¢ (1\[[11edo]]) | Range: 0¢ to 109.091¢ (1\[[11edo]]) | ||
[[Valentine]][11] in [[46edo]]: 3 3 3 3 3 3 3 3 3 16 3 | [[Valentine]][11] in [[46edo]]: 3 3 3 3 3 3 3 3 3 16 3 | ||
[[Nautilus]][11] in [[29edo]]: 2 2 2 2 9 2 2 2 2 2 2 | [[Nautilus]][11] in [[29edo]]: 2 2 2 2 9 2 2 2 2 2 2 | ||
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Range: 109.091¢ (1\11edo) to 120¢ (1\[[10edo]]) | Range: 109.091¢ (1\11edo) to 120¢ (1\[[10edo]]) | ||
[[Miracle]][11] in [[72edo]]: 7 7 7 7 7 7 7 2 7 7 7 | [[Miracle]][11] in [[72edo]]: 7 7 7 7 7 7 7 2 7 7 7 | ||
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Range: 200¢ (1\[[6edo]]) to 218.182¢ (2\11edo) | Range: 200¢ (1\[[6edo]]) to 218.182¢ (2\11edo) | ||
[[baldy11|Baldy]][11] in [[47edo]]: 7 1 7 1 7 1 7 7 1 7 1 | [[baldy11|Baldy]][11] in [[47edo]]: 7 1 7 1 7 1 7 7 1 7 1 | ||
[[machine11|Machine]][11] in [[28edo]]: 3 2 3 2 3 2 3 3 2 3 2 | [[machine11|Machine]][11] in [[28edo]]: 3 2 3 2 3 2 3 3 2 3 2 | ||
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Range: 218.182¢ (2\11edo) to 240¢ (1\[[5edo]]) | Range: 218.182¢ (2\11edo) to 240¢ (1\[[5edo]]) | ||
[[Gorgo]][11]/[[shoe11|Shoe]][11] in [[37edo]]: 5 2 5 2 5 2 5 2 2 5 2 | [[Gorgo]][11]/[[shoe11|Shoe]][11] in [[37edo]]: 5 2 5 2 5 2 5 2 2 5 2 | ||
[[Cynder]][11]/[[Mothra]][11]/[[Slendric]][11] in [[31edo]]: 1 5 1 5 1 5 1 5 1 1 5 | [[Cynder]][11]/[[Mothra]][11]/[[Slendric]][11] in [[31edo]]: 1 5 1 5 1 5 1 5 1 1 5 | ||
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Range: 300¢ (1\[[4edo]]) to 327.273¢ (3\11edo) | Range: 300¢ (1\[[4edo]]) to 327.273¢ (3\11edo) | ||
[[Myna]][11] in [[89edo]]: 3 3 17 3 3 17 3 3 17 3 17 | [[Myna]][11] in [[89edo]]: 3 3 17 3 3 17 3 3 17 3 17 | ||
[[Keemun]][11]/[[Hanson]][11]/[[Catakleismic]][11] in [[72edo]] | [[Keemun]][11]/[[Hanson]][11]/[[Catakleismic]][11] in [[72edo]] | ||
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Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo) | Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo) | ||
... | [[Amity]][11]/[[Hitchcock]][11] in [[46edo]] | ||
==[[3L 8s]] aka 3+8== | |||
Range: 400¢ (1\[[3edo]]) to 436.364¢ (4\11edo) | |||
[[Bossier]][11] in [[37edo]] | |||
[[Squares]][11] in [[48edo]] | |||
==[[8L 3s]] aka 8+3== | |||
Range: 436.364¢ (4\11edo) to 450¢ (3\[[8edo]]) | |||
[[Sensi]][11] in [[46edo]] | |||
==[[9L 2s]] aka 9+2== | |||
Range: 533.333¢ (4\[[9edo]] to 545.455¢ (5\11edo) | |||
[[Avila]][11] in [[29edo]] | |||
[[Casablanca]][11] in [[73edo]] | |||
==[[2L 9s]] aka 2+9== | |||
Range: 545.455¢ (5\11edo) to 600¢ (1\[[2edo]]) | |||
[[Heinz]][11] in [[46edo]] | |||
[[Liese]][11] in [[74edo]] | |||
[[Triton]][11] in [[19edo]] | |||
[[Tritonic]][11] in [[60edo]]</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>Hendecatonic MOS</title></head><body><!-- ws:start:WikiTextLocalImageRule: | <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>Hendecatonic MOS</title></head><body><!-- ws:start:WikiTextLocalImageRule:22:&lt;img src=&quot;/file/view/hendecatonic_MOS_scales_PING.png/278861814/hendecatonic_MOS_scales_PING.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hendecatonic_MOS_scales_PING.png/278861814/hendecatonic_MOS_scales_PING.png" alt="hendecatonic_MOS_scales_PING.png" title="hendecatonic_MOS_scales_PING.png" /><!-- ws:end:WikiTextLocalImageRule:22 --><br /> | ||
Hendecatonic (11-tone) <a class="wiki_link" href="/MOSScales">MOS Scales</a> come in many varieties and are effective as chromatic scales out of which albitonic (diatonic-like) subsets can be taken. As 11 is a prime number, each Hendecatonic MOS Scale has the octave as a period, rather than some division of the octave like 600¢. It is a simple matter to retune a Halberstadt keyboard to a Hendecatonic MOS Scale, with the 2/1 occurring after 11 keys, or by skipping a key so the 2/1 occurs after 12 keys. The diagram above shows the 10 generator ranges (&quot;Regions&quot;) where Hendecatonic MOS Scales occur.<br /> | Hendecatonic (11-tone) <a class="wiki_link" href="/MOSScales">MOS Scales</a> come in many varieties and are effective as chromatic scales out of which albitonic (diatonic-like) subsets can be taken. As 11 is a prime number, each Hendecatonic MOS Scale has the octave as a period, rather than some division of the octave like 600¢. It is a simple matter to retune a Halberstadt keyboard to a Hendecatonic MOS Scale, with the 2/1 occurring after 11 keys, or by skipping a key so the 2/1 occurs after 12 keys. The diagram above shows the 10 generator ranges (&quot;Regions&quot;) where Hendecatonic MOS Scales occur.<br /> | ||
<br /> | <br /> | ||
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Range: 0¢ to 109.091¢ (1\<a class="wiki_link" href="/11edo">11edo</a>)<br /> | Range: 0¢ to 109.091¢ (1\<a class="wiki_link" href="/11edo">11edo</a>)<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Valentine">Valentine</a>[11] in <a class="wiki_link" href="/46edo">46edo</a>: 3 3 3 3 3 3 3 3 3 16 3<br /> | <a class="wiki_link" href="/Valentine">Valentine</a>[11] in <a class="wiki_link" href="/46edo">46edo</a>: 3 3 3 3 3 3 3 3 3 16 3<br /> | ||
<a class="wiki_link" href="/Nautilus">Nautilus</a>[11] in <a class="wiki_link" href="/29edo">29edo</a>: 2 2 2 2 9 2 2 2 2 2 2<br /> | <a class="wiki_link" href="/Nautilus">Nautilus</a>[11] in <a class="wiki_link" href="/29edo">29edo</a>: 2 2 2 2 9 2 2 2 2 2 2<br /> | ||
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Range: 109.091¢ (1\11edo) to 120¢ (1\<a class="wiki_link" href="/10edo">10edo</a>)<br /> | Range: 109.091¢ (1\11edo) to 120¢ (1\<a class="wiki_link" href="/10edo">10edo</a>)<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Miracle">Miracle</a>[11] in <a class="wiki_link" href="/72edo">72edo</a>: 7 7 7 7 7 7 7 2 7 7 7<br /> | <a class="wiki_link" href="/Miracle">Miracle</a>[11] in <a class="wiki_link" href="/72edo">72edo</a>: 7 7 7 7 7 7 7 2 7 7 7<br /> | ||
<br /> | <br /> | ||
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Range: 200¢ (1\<a class="wiki_link" href="/6edo">6edo</a>) to 218.182¢ (2\11edo)<br /> | Range: 200¢ (1\<a class="wiki_link" href="/6edo">6edo</a>) to 218.182¢ (2\11edo)<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/baldy11">Baldy</a>[11] in <a class="wiki_link" href="/47edo">47edo</a>: 7 1 7 1 7 1 7 7 1 7 1<br /> | <a class="wiki_link" href="/baldy11">Baldy</a>[11] in <a class="wiki_link" href="/47edo">47edo</a>: 7 1 7 1 7 1 7 7 1 7 1<br /> | ||
<a class="wiki_link" href="/machine11">Machine</a>[11] in <a class="wiki_link" href="/28edo">28edo</a>: 3 2 3 2 3 2 3 3 2 3 2<br /> | <a class="wiki_link" href="/machine11">Machine</a>[11] in <a class="wiki_link" href="/28edo">28edo</a>: 3 2 3 2 3 2 3 3 2 3 2<br /> | ||
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Range: 218.182¢ (2\11edo) to 240¢ (1\<a class="wiki_link" href="/5edo">5edo</a>)<br /> | Range: 218.182¢ (2\11edo) to 240¢ (1\<a class="wiki_link" href="/5edo">5edo</a>)<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gorgo">Gorgo</a>[11]/<a class="wiki_link" href="/shoe11">Shoe</a>[11] in <a class="wiki_link" href="/37edo">37edo</a>: 5 2 5 2 5 2 5 2 2 5 2<br /> | <a class="wiki_link" href="/Gorgo">Gorgo</a>[11]/<a class="wiki_link" href="/shoe11">Shoe</a>[11] in <a class="wiki_link" href="/37edo">37edo</a>: 5 2 5 2 5 2 5 2 2 5 2<br /> | ||
<a class="wiki_link" href="/Cynder">Cynder</a>[11]/<a class="wiki_link" href="/Mothra">Mothra</a>[11]/<a class="wiki_link" href="/Slendric">Slendric</a>[11] in <a class="wiki_link" href="/31edo">31edo</a>: 1 5 1 5 1 5 1 5 1 1 5<br /> | <a class="wiki_link" href="/Cynder">Cynder</a>[11]/<a class="wiki_link" href="/Mothra">Mothra</a>[11]/<a class="wiki_link" href="/Slendric">Slendric</a>[11] in <a class="wiki_link" href="/31edo">31edo</a>: 1 5 1 5 1 5 1 5 1 1 5<br /> | ||
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Range: 300¢ (1\<a class="wiki_link" href="/4edo">4edo</a>) to 327.273¢ (3\11edo)<br /> | Range: 300¢ (1\<a class="wiki_link" href="/4edo">4edo</a>) to 327.273¢ (3\11edo)<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Myna">Myna</a>[11] in <a class="wiki_link" href="/89edo">89edo</a>: 3 3 17 3 3 17 3 3 17 3 17<br /> | <a class="wiki_link" href="/Myna">Myna</a>[11] in <a class="wiki_link" href="/89edo">89edo</a>: 3 3 17 3 3 17 3 3 17 3 17<br /> | ||
<a class="wiki_link" href="/Keemun">Keemun</a>[11]/<a class="wiki_link" href="/Hanson">Hanson</a>[11]/<a class="wiki_link" href="/Catakleismic">Catakleismic</a>[11] in <a class="wiki_link" href="/72edo">72edo</a><br /> | <a class="wiki_link" href="/Keemun">Keemun</a>[11]/<a class="wiki_link" href="/Hanson">Hanson</a>[11]/<a class="wiki_link" href="/Catakleismic">Catakleismic</a>[11] in <a class="wiki_link" href="/72edo">72edo</a><br /> | ||
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Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo)<br /> | Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo)<br /> | ||
<br /> | <br /> | ||
... | <a class="wiki_link" href="/Amity">Amity</a>[11]/<a class="wiki_link" href="/Hitchcock">Hitchcock</a>[11] in <a class="wiki_link" href="/46edo">46edo</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="The 10 Generator Ranges-3L 8s aka 3+8"></a><!-- ws:end:WikiTextHeadingRule:14 --><a class="wiki_link" href="/3L%208s">3L 8s</a> aka 3+8</h2> | |||
<br /> | |||
Range: 400¢ (1\<a class="wiki_link" href="/3edo">3edo</a>) to 436.364¢ (4\11edo)<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Bossier">Bossier</a>[11] in <a class="wiki_link" href="/37edo">37edo</a><br /> | |||
<a class="wiki_link" href="/Squares">Squares</a>[11] in <a class="wiki_link" href="/48edo">48edo</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="The 10 Generator Ranges-8L 3s aka 8+3"></a><!-- ws:end:WikiTextHeadingRule:16 --><a class="wiki_link" href="/8L%203s">8L 3s</a> aka 8+3</h2> | |||
<br /> | |||
Range: 436.364¢ (4\11edo) to 450¢ (3\<a class="wiki_link" href="/8edo">8edo</a>)<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Sensi">Sensi</a>[11] in <a class="wiki_link" href="/46edo">46edo</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="The 10 Generator Ranges-9L 2s aka 9+2"></a><!-- ws:end:WikiTextHeadingRule:18 --><a class="wiki_link" href="/9L%202s">9L 2s</a> aka 9+2</h2> | |||
<br /> | |||
Range: 533.333¢ (4\<a class="wiki_link" href="/9edo">9edo</a> to 545.455¢ (5\11edo)<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Avila">Avila</a>[11] in <a class="wiki_link" href="/29edo">29edo</a><br /> | |||
<a class="wiki_link" href="/Casablanca">Casablanca</a>[11] in <a class="wiki_link" href="/73edo">73edo</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="The 10 Generator Ranges-2L 9s aka 2+9"></a><!-- ws:end:WikiTextHeadingRule:20 --><a class="wiki_link" href="/2L%209s">2L 9s</a> aka 2+9</h2> | |||
<br /> | |||
Range: 545.455¢ (5\11edo) to 600¢ (1\<a class="wiki_link" href="/2edo">2edo</a>)<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Heinz">Heinz</a>[11] in <a class="wiki_link" href="/46edo">46edo</a><br /> | |||
<a class="wiki_link" href="/Liese">Liese</a>[11] in <a class="wiki_link" href="/74edo">74edo</a><br /> | |||
<a class="wiki_link" href="/Triton">Triton</a>[11] in <a class="wiki_link" href="/19edo">19edo</a><br /> | |||
<a class="wiki_link" href="/Tritonic">Tritonic</a>[11] in <a class="wiki_link" href="/60edo">60edo</a></body></html></pre></div> | |||