Hendecatonic MOS
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-11-24 13:00:34 UTC.
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[[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>