Hendecatonic MOS: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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 00:~~03:29~~ UTC</tt>.<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-24 13:00:34 UTC</tt>.<br>

: The original revision id was <tt>~~278681256~~</tt>.<br>

: The original revision id was <tt>278810828</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>

<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">[[image:hendecatonic_MOS_scales_corrected.jpg]]</pre></div>

<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">[[image:hendecatonic_MOS_scales_corrected.jpg]]

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 will have the octave as a period, rather than a division of the octave. 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]])

Some 1+10 scales:

[[Starling+temperaments#Valentine temperament|Valentine]][11] in [[46edo]]: 3 3 3 3 3 3 3 3 3 3 16

[[Porcupine+family#Nautilus|Nautilus]][11] in [[29edo]]: 2 2 2 2 2 2 2 2 2 2 9

[[Tetracot+family#Octacot|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]])

Some 10+1 scales:

[[Gamelismic+clan#Miracle|Miracle]][11] in [[72edo]]: 7 7 7 7 7 7 7 7 7 7 2

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

Range: 200¢ (1\[[6edo]]) to 218.182¢ (2\11edo)

Some 6+5 scales:

... (more to come) ...</pre></div>

<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><img src="/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg" alt="hendecatonic_MOS_scales_corrected.jpg" title="hendecatonic_MOS_scales_corrected.jpg" /></body></html></pre></div>

<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><img src="/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg" alt="hendecatonic_MOS_scales_corrected.jpg" title="hendecatonic_MOS_scales_corrected.jpg" /><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 will have the octave as a period, rather than a division of the octave. 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 />

See: <a class="wiki_link" href="/chromatic%20pairs">chromatic pairs</a><br />

<br />

<h1 id="toc0"><a name="The 10 Generator Ranges"></a>The 10 Generator Ranges</h1>

<br />

<h2 id="toc1"><a name="The 10 Generator Ranges-1L 10s aka 1+10"></a><a class="wiki_link" href="/1L%2010s">1L 10s</a> aka 1+10</h2>

<br />

Range: 0¢ to 109.091¢ (1\<a class="wiki_link" href="/11edo">11edo</a>)<br />

<br />

Some 1+10 scales:<br />

[[Starling+temperaments#Valentine temperament|Valentine]][11] in <a class="wiki_link" href="/46edo">46edo</a>: 3 3 3 3 3 3 3 3 3 3 16<br />

[[Porcupine+family#Nautilus|Nautilus]][11] in <a class="wiki_link" href="/29edo">29edo</a>: 2 2 2 2 2 2 2 2 2 2 9<br />

[[Tetracot+family#Octacot|Octacot]][11] in <a class="wiki_link" href="/41edo">41edo</a>: 3 3 3 3 3 3 3 3 3 3 11<br />

<br />

<h2 id="toc2"><a name="The 10 Generator Ranges-10L 1s aka 10+1"></a><a class="wiki_link" href="/10L%201s">10L 1s</a> aka 10+1</h2>

<br />

Range: 109.091¢ (1\11edo) to 120¢ (1\<a class="wiki_link" href="/10edo">10edo</a>)<br />

<br />

Some 10+1 scales:<br />

[[Gamelismic+clan#Miracle|Miracle]][11] in <a class="wiki_link" href="/72edo">72edo</a>: 7 7 7 7 7 7 7 7 7 7 2<br />

<br />

<h2 id="toc3"><a name="The 10 Generator Ranges-6L 5s aka 6+5"></a><a class="wiki_link" href="/6L%205s">6L 5s</a> aka 6+5</h2>

<br />

Range: 200¢ (1\<a class="wiki_link" href="/6edo">6edo</a>) to 218.182¢ (2\11edo)<br />

<br />

Some 6+5 scales:<br />

... (more to come) ...</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 00:03:29 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-24 13:00:34 UTC</tt>.<br>
-: The original revision id was <tt>278681256</tt>.<br>
+: The original revision id was <tt>278810828</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>
 <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">[[image:hendecatonic_MOS_scales_corrected.jpg]]</pre></div>
+<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">[[image:hendecatonic_MOS_scales_corrected.jpg]]
+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 will have the octave as a period, rather than a division of the octave. 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]])
+Some 1+10 scales:
+[[Starling+temperaments#Valentine temperament|Valentine]][11] in [[46edo]]: 3 3 3 3 3 3 3 3 3 3 16
+[[Porcupine+family#Nautilus|Nautilus]][11] in [[29edo]]: 2 2 2 2 2 2 2 2 2 2 9
+[[Tetracot+family#Octacot|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]])
+Some 10+1 scales:
+[[Gamelismic+clan#Miracle|Miracle]][11] in [[72edo]]: 7 7 7 7 7 7 7 7 7 7 2
+==[[6L 5s]] aka 6+5==
+Range: 200¢ (1\[[6edo]]) to 218.182¢ (2\11edo)
+Some 6+5 scales:
+... (more to come) ...</pre></div>
 <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:0:&amp;lt;img src=&amp;quot;/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg" alt="hendecatonic_MOS_scales_corrected.jpg" title="hendecatonic_MOS_scales_corrected.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+<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:8:&amp;lt;img src=&amp;quot;/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg" alt="hendecatonic_MOS_scales_corrected.jpg" title="hendecatonic_MOS_scales_corrected.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:8 --&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 will have the octave as a period, rather than a division of the octave. 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;
+See: &lt;a class="wiki_link" href="/chromatic%20pairs"&gt;chromatic pairs&lt;/a&gt;&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="The 10 Generator Ranges"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;The 10 Generator Ranges&lt;/h1&gt;
+ &lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="The 10 Generator Ranges-1L 10s aka 1+10"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/1L%2010s"&gt;1L 10s&lt;/a&gt; aka 1+10&lt;/h2&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;
+Some 1+10 scales:&lt;br /&gt;
+[[Starling+temperaments#Valentine temperament|Valentine]][11] in &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;: 3 3 3 3 3 3 3 3 3 3 16&lt;br /&gt;
+[[Porcupine+family#Nautilus|Nautilus]][11] in &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;: 2 2 2 2 2 2 2 2 2 2 9&lt;br /&gt;
+[[Tetracot+family#Octacot|Octacot]][11] in &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;: 3 3 3 3 3 3 3 3 3 3 11&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="The 10 Generator Ranges-10L 1s aka 10+1"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/10L%201s"&gt;10L 1s&lt;/a&gt; aka 10+1&lt;/h2&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;
+Some 10+1 scales:&lt;br /&gt;
+[[Gamelismic+clan#Miracle|Miracle]][11] in &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;: 7 7 7 7 7 7 7 7 7 7 2&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="The 10 Generator Ranges-6L 5s aka 6+5"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;a class="wiki_link" href="/6L%205s"&gt;6L 5s&lt;/a&gt; aka 6+5&lt;/h2&gt;
+ &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;
+Some 6+5 scales:&lt;br /&gt;
+... (more to come) ...&lt;/body&gt;&lt;/html&gt;</pre></div>