Hendecatonic MOS: Difference between revisions

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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 19:38:31 UTC</tt>.<br>
: 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>278880582</tt>.<br>
: 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]])


Some 1+10 scales:
[[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]])


Some 10+1 scales:
[[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)


Some 6+5 scales:
[[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]])


Some 5+6 scales:
[[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
Line 50: Line 46:
Range: 300¢ (1\[[4edo]]) to 327.273¢ (3\11edo)
Range: 300¢ (1\[[4edo]]) to 327.273¢ (3\11edo)


Some 4+7 scales:
[[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)


... more to come...</pre></div>
[[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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Hendecatonic MOS&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextLocalImageRule:14:&amp;lt;img src=&amp;quot;/file/view/hendecatonic_MOS_scales_PING.png/278861814/hendecatonic_MOS_scales_PING.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;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" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:14 --&gt;&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Hendecatonic MOS&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextLocalImageRule:22:&amp;lt;img src=&amp;quot;/file/view/hendecatonic_MOS_scales_PING.png/278861814/hendecatonic_MOS_scales_PING.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;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" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:22 --&gt;&lt;br /&gt;
Hendecatonic (11-tone) &lt;a class="wiki_link" href="/MOSScales"&gt;MOS Scales&lt;/a&gt; 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 (&amp;quot;Regions&amp;quot;) where Hendecatonic MOS Scales occur.&lt;br /&gt;
Hendecatonic (11-tone) &lt;a class="wiki_link" href="/MOSScales"&gt;MOS Scales&lt;/a&gt; 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 (&amp;quot;Regions&amp;quot;) where Hendecatonic MOS Scales occur.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 72: Line 96:
Range: 0¢ to 109.091¢ (1\&lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt;)&lt;br /&gt;
Range: 0¢ to 109.091¢ (1\&lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt;)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some 1+10 scales:&lt;br /&gt;
&lt;a class="wiki_link" href="/Valentine"&gt;Valentine&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;: 3 3 3 3 3 3 3 3 3 16 3&lt;br /&gt;
&lt;a class="wiki_link" href="/Valentine"&gt;Valentine&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;: 3 3 3 3 3 3 3 3 3 16 3&lt;br /&gt;
&lt;a class="wiki_link" href="/Nautilus"&gt;Nautilus&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;: 2 2 2 2 9 2 2 2 2 2 2&lt;br /&gt;
&lt;a class="wiki_link" href="/Nautilus"&gt;Nautilus&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;: 2 2 2 2 9 2 2 2 2 2 2&lt;br /&gt;
Line 81: Line 104:
Range: 109.091¢ (1\11edo) to 120¢ (1\&lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;)&lt;br /&gt;
Range: 109.091¢ (1\11edo) to 120¢ (1\&lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some 10+1 scales:&lt;br /&gt;
&lt;a class="wiki_link" href="/Miracle"&gt;Miracle&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;: 7 7 7 7 7 7 7 2 7 7 7&lt;br /&gt;
&lt;a class="wiki_link" href="/Miracle"&gt;Miracle&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;: 7 7 7 7 7 7 7 2 7 7 7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 88: Line 110:
Range: 200¢ (1\&lt;a class="wiki_link" href="/6edo"&gt;6edo&lt;/a&gt;) to 218.182¢ (2\11edo)&lt;br /&gt;
Range: 200¢ (1\&lt;a class="wiki_link" href="/6edo"&gt;6edo&lt;/a&gt;) to 218.182¢ (2\11edo)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some 6+5 scales:&lt;br /&gt;
&lt;a class="wiki_link" href="/baldy11"&gt;Baldy&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/47edo"&gt;47edo&lt;/a&gt;: 7 1 7 1 7 1 7 7 1 7 1&lt;br /&gt;
&lt;a class="wiki_link" href="/baldy11"&gt;Baldy&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/47edo"&gt;47edo&lt;/a&gt;: 7 1 7 1 7 1 7 7 1 7 1&lt;br /&gt;
&lt;a class="wiki_link" href="/machine11"&gt;Machine&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/28edo"&gt;28edo&lt;/a&gt;: 3 2 3 2 3 2 3 3 2 3 2&lt;br /&gt;
&lt;a class="wiki_link" href="/machine11"&gt;Machine&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/28edo"&gt;28edo&lt;/a&gt;: 3 2 3 2 3 2 3 3 2 3 2&lt;br /&gt;
Line 96: Line 117:
Range: 218.182¢ (2\11edo) to 240¢ (1\&lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;)&lt;br /&gt;
Range: 218.182¢ (2\11edo) to 240¢ (1\&lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some 5+6 scales:&lt;br /&gt;
&lt;a class="wiki_link" href="/Gorgo"&gt;Gorgo&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/shoe11"&gt;Shoe&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;: 5 2 5 2 5 2 5 2 2 5 2&lt;br /&gt;
&lt;a class="wiki_link" href="/Gorgo"&gt;Gorgo&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/shoe11"&gt;Shoe&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;: 5 2 5 2 5 2 5 2 2 5 2&lt;br /&gt;
&lt;a class="wiki_link" href="/Cynder"&gt;Cynder&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Mothra"&gt;Mothra&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Slendric"&gt;Slendric&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;: 1 5 1 5 1 5 1 5 1 1 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Cynder"&gt;Cynder&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Mothra"&gt;Mothra&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Slendric"&gt;Slendric&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;: 1 5 1 5 1 5 1 5 1 1 5&lt;br /&gt;
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Range: 300¢ (1\&lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt;) to 327.273¢ (3\11edo)&lt;br /&gt;
Range: 300¢ (1\&lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt;) to 327.273¢ (3\11edo)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some 4+7 scales:&lt;br /&gt;
&lt;a class="wiki_link" href="/Myna"&gt;Myna&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt;: 3 3 17 3 3 17 3 3 17 3 17&lt;br /&gt;
&lt;a class="wiki_link" href="/Myna"&gt;Myna&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt;: 3 3 17 3 3 17 3 3 17 3 17&lt;br /&gt;
&lt;a class="wiki_link" href="/Keemun"&gt;Keemun&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Hanson"&gt;Hanson&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Catakleismic"&gt;Catakleismic&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Keemun"&gt;Keemun&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Hanson"&gt;Hanson&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Catakleismic"&gt;Catakleismic&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
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Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo)&lt;br /&gt;
Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
... more to come...&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/Amity"&gt;Amity&lt;/a&gt;[11]/&lt;a class="wiki_link" href="/Hitchcock"&gt;Hitchcock&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="The 10 Generator Ranges-3L 8s aka 3+8"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&lt;a class="wiki_link" href="/3L%208s"&gt;3L 8s&lt;/a&gt; aka 3+8&lt;/h2&gt;
&lt;br /&gt;
Range: 400¢ (1\&lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;) to 436.364¢ (4\11edo)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Bossier"&gt;Bossier&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Squares"&gt;Squares&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/48edo"&gt;48edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="The 10 Generator Ranges-8L 3s aka 8+3"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;&lt;a class="wiki_link" href="/8L%203s"&gt;8L 3s&lt;/a&gt; aka 8+3&lt;/h2&gt;
&lt;br /&gt;
Range: 436.364¢ (4\11edo) to 450¢ (3\&lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt;)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Sensi"&gt;Sensi&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="The 10 Generator Ranges-9L 2s aka 9+2"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;&lt;a class="wiki_link" href="/9L%202s"&gt;9L 2s&lt;/a&gt; aka 9+2&lt;/h2&gt;
&lt;br /&gt;
Range: 533.333¢ (4\&lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; to 545.455¢ (5\11edo)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Avila"&gt;Avila&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Casablanca"&gt;Casablanca&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/73edo"&gt;73edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="The 10 Generator Ranges-2L 9s aka 2+9"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;a class="wiki_link" href="/2L%209s"&gt;2L 9s&lt;/a&gt; aka 2+9&lt;/h2&gt;
&lt;br /&gt;
Range: 545.455¢ (5\11edo) to 600¢ (1\&lt;a class="wiki_link" href="/2edo"&gt;2edo&lt;/a&gt;)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Heinz"&gt;Heinz&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Liese"&gt;Liese&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/74edo"&gt;74edo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Triton"&gt;Triton&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tritonic"&gt;Tritonic&lt;/a&gt;[11] in &lt;a class="wiki_link" href="/60edo"&gt;60edo&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 23:34, 24 November 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Andrew_Heathwaite and made on 2011-11-24 23:34:52 UTC.
The original revision id was 278913820.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[image:hendecatonic_MOS_scales_PING.png]]
Hendecatonic (11-tone) [[MOSScales|MOS Scales]] 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 ("Regions") where Hendecatonic MOS Scales occur.

See: [[chromatic pairs]]

=The 10 Generator Ranges= 

==[[1L 10s]] aka 1+10== 

Range: 0¢ to 109.091¢ (1\[[11edo]])

[[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
[[Octacot]][11] in [[41edo]]: 3 3 3 3 3 3 3 3 3 3 11

==[[10L 1s]] aka 10+1== 

Range: 109.091¢ (1\11edo) to 120¢ (1\[[10edo]])

[[Miracle]][11] in [[72edo]]: 7 7 7 7 7 7 7 2 7 7 7

==[[6L 5s]] aka 6+5== 

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
[[machine11|Machine]][11] in [[28edo]]: 3 2 3 2 3 2 3 3 2 3 2

==[[5L 6s]] aka 5+6== 

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
[[Cynder]][11]/[[Mothra]][11]/[[Slendric]][11] in [[31edo]]: 1 5 1 5 1 5 1 5 1 1 5
[[Rodan]][11] in [[41edo]]: 1 7 1 7 1 7 1 7 1 1 7

==[[4L 7s]] aka 4+7== 

Range: 300¢ (1\[[4edo]]) to 327.273¢ (3\11edo)

[[Myna]][11] in [[89edo]]: 3 3 17 3 3 17 3 3 17 3 17
[[Keemun]][11]/[[Hanson]][11]/[[Catakleismic]][11] in [[72edo]]
[[Orgone]][11] in [[26edo]]: 2 3 2 3 2 2 3 2 2 3 2

==[[7L 4s]] aka 7+4== 

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]]

Original HTML content:

<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 />
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See: <a class="wiki_link" href="/chromatic%20pairs">chromatic pairs</a><br />
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The 10 Generator Ranges"></a><!-- ws:end:WikiTextHeadingRule:0 -->The 10 Generator Ranges</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="The 10 Generator Ranges-1L 10s aka 1+10"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/1L%2010s">1L 10s</a> aka 1+10</h2>
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Range: 0¢ to 109.091¢ (1\<a class="wiki_link" href="/11edo">11edo</a>)<br />
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<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="/Octacot">Octacot</a>[11] in <a class="wiki_link" href="/41edo">41edo</a>: 3 3 3 3 3 3 3 3 3 3 11<br />
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="The 10 Generator Ranges-10L 1s aka 10+1"></a><!-- ws:end:WikiTextHeadingRule:4 --><a class="wiki_link" href="/10L%201s">10L 1s</a> aka 10+1</h2>
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Range: 109.091¢ (1\11edo) to 120¢ (1\<a class="wiki_link" href="/10edo">10edo</a>)<br />
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<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 />
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="The 10 Generator Ranges-6L 5s aka 6+5"></a><!-- ws:end:WikiTextHeadingRule:6 --><a class="wiki_link" href="/6L%205s">6L 5s</a> aka 6+5</h2>
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Range: 200¢ (1\<a class="wiki_link" href="/6edo">6edo</a>) to 218.182¢ (2\11edo)<br />
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<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 />
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="The 10 Generator Ranges-5L 6s aka 5+6"></a><!-- ws:end:WikiTextHeadingRule:8 --><a class="wiki_link" href="/5L%206s">5L 6s</a> aka 5+6</h2>
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Range: 218.182¢ (2\11edo) to 240¢ (1\<a class="wiki_link" href="/5edo">5edo</a>)<br />
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<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="/Rodan">Rodan</a>[11] in <a class="wiki_link" href="/41edo">41edo</a>: 1 7 1 7 1 7 1 7 1 1 7<br />
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="The 10 Generator Ranges-4L 7s aka 4+7"></a><!-- ws:end:WikiTextHeadingRule:10 --><a class="wiki_link" href="/4L%207s">4L 7s</a> aka 4+7</h2>
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Range: 300¢ (1\<a class="wiki_link" href="/4edo">4edo</a>) to 327.273¢ (3\11edo)<br />
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<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="/Orgone">Orgone</a>[11] in <a class="wiki_link" href="/26edo">26edo</a>: 2 3 2 3 2 2 3 2 2 3 2<br />
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<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="The 10 Generator Ranges-7L 4s aka 7+4"></a><!-- ws:end:WikiTextHeadingRule:12 --><a class="wiki_link" href="/7L%204s">7L 4s</a> aka 7+4</h2>
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Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo)<br />
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<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 />
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<!-- 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>
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Range: 400¢ (1\<a class="wiki_link" href="/3edo">3edo</a>) to 436.364¢ (4\11edo)<br />
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<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 />
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<!-- 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>
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Range: 436.364¢ (4\11edo) to 450¢ (3\<a class="wiki_link" href="/8edo">8edo</a>)<br />
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<a class="wiki_link" href="/Sensi">Sensi</a>[11] in <a class="wiki_link" href="/46edo">46edo</a><br />
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<!-- 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>
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Range: 533.333¢ (4\<a class="wiki_link" href="/9edo">9edo</a> to 545.455¢ (5\11edo)<br />
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<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 />
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<!-- 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 />
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<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>