Hendecatonic MOS: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 278681256 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 278810828 - 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 00: | : 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> | : The original revision id was <tt>278810828</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> | ||
<h4>Original Wikitext content:</h4> | <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> | <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:8:&lt;img src=&quot;/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><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" /><!-- ws:end:WikiTextLocalImageRule:8 --><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 /> | |||
<!-- 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> | |||
<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 /> | |||
<!-- 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> | |||
<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 /> | |||
<!-- 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> | |||
<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> | |||
Revision as of 13:00, 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 13:00:34 UTC.
- The original revision id was 278810828.
- 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_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) ...Original HTML content:
<html><head><title>Hendecatonic MOS</title></head><body><!-- ws:start:WikiTextLocalImageRule:8:<img src="/file/view/hendecatonic_MOS_scales_corrected.jpg/278681228/hendecatonic_MOS_scales_corrected.jpg" alt="" title="" /> --><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" /><!-- ws:end:WikiTextLocalImageRule:8 --><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 ("Regions") where Hendecatonic MOS Scales occur.<br /> <br /> See: <a class="wiki_link" href="/chromatic%20pairs">chromatic pairs</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="The 10 Generator Ranges"></a><!-- ws:end:WikiTextHeadingRule:0 -->The 10 Generator Ranges</h1> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><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> <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 /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><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> <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 /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><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> <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>