Hendecatonic MOS
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[[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]] (g=3\46 ~ 78.261¢): 3 3 3 3 3 3 3 3 3 16 3
[[Nautilus]][11] in [[29edo]] (g=2\29 ~ 82.759¢): 2 2 2 9 2 2 2 2 2 2
[[Octacot]][11] in [[41edo]] (g=3\41 ~ 88.805¢): 3 3 3 3 3 3 3 3 3 3 11
[[Passion]][11] in [[37edo]] (g=3\37 ~ 97.297¢)
[[Ripple]][11] in [[23edo]] (g=2\23 ~ 104.348¢)
==[[10L 1s]] aka 10+1==
Range: 109.091¢ (1\11edo) to 120¢ (1\[[10edo]])
[[Miracle]][11] in [[72edo]] (g=7\72 ~ 116.667¢): 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]] (g=8\47 ~ 204.255¢): 7 1 7 1 7 1 7 7 1 7 1
[[machine11|Machine]][11] in [[28edo]] (g=5\28 ~ 214.286¢): 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]] (g=7\37 ~ 227.027¢): 5 2 5 2 5 2 5 2 2 5 2
[[Cynder]][11]/[[Mothra]][11]/[[Slendric]][11] in [[31edo]] (g=6\31 ~ 232.258¢): 1 5 1 5 1 5 1 5 1 1 5
[[Rodan]][11] in [[41edo]] (g=8\41 ~ 234.146¢): 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]] (g=19\72 ~ 316.667¢): 4 4 11 4 4 11 4 11 4 4 11
[[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]] (g=13\46 ~ 339.130¢): 1 6 6 1 6 1 6 6 1 6 6
==[[3L 8s]] aka 3+8==
Range: 400¢ (1\[[3edo]]) to 436.364¢ (4\11edo)
[[Bossier]][11] in [[37edo]] (g=13\37 ~ 431.622¢): 2 2 2 7 2 2 7 2 2 2 7
[[Squares]][11] in [[48edo]] (g=17\48 = 425¢):8 3 3 8 3 3 3 8 3 3 3
==[[8L 3s]] aka 8+3==
Range: 436.364¢ (4\11edo) to 450¢ (3\[[8edo]])
[[Sensi]][11] in [[46edo]] (g=17\46 ~ 443.478¢): 5 5 5 2 5 5 5 2 5 5 2
==[[9L 2s]] aka 9+2==
Range: 533.333¢ (4\[[9edo]] to 545.455¢ (5\11edo)
[[Avila]][11] in [[29edo]] (g=13\29 ~ 537.931¢): 1 3 3 3 3 3 1 3 3 3 3
[[Casablanca]][11] in [[73edo]] (g=33\73 ~ 542.466¢): 5 7 7 7 7 7 5 7 7 7 7
==[[2L 9s]] aka 2+9==
Range: 545.455¢ (5\11edo) to 600¢ (1\[[2edo]])
[[Heinz]][11] in [[46edo]] (g=21\46 ~ 547.826¢): 4 4 4 5 4 4 4 4 4 5 4
[[Liese]][11] in [[74edo]] (g=35\74 ~ 567.568¢): 4 4 4 19 4 4 4 4 19 4 4
[[Triton]][11] in [[19edo]] (g=9\19 ~ 568.421¢): 1 1 1 1 5 1 1 1 1 1 5
[[Tritonic]][11] in [[60edo]] (g=29\60 = 580¢): 2 2 2 21 2 2 2 2 2 21 2Original HTML content:
<html><head><title>Hendecatonic MOS</title></head><body><!-- ws:start:WikiTextLocalImageRule:22:<img src="/file/view/hendecatonic_MOS_scales_PING.png/278861814/hendecatonic_MOS_scales_PING.png" alt="" title="" /> --><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 ("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 /> <a class="wiki_link" href="/Valentine">Valentine</a>[11] in <a class="wiki_link" href="/46edo">46edo</a> (g=3\46 ~ 78.261¢): 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> (g=2\29 ~ 82.759¢): 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> (g=3\41 ~ 88.805¢): 3 3 3 3 3 3 3 3 3 3 11<br /> <a class="wiki_link" href="/Passion">Passion</a>[11] in <a class="wiki_link" href="/37edo">37edo</a> (g=3\37 ~ 97.297¢)<br /> <a class="wiki_link" href="/Ripple">Ripple</a>[11] in <a class="wiki_link" href="/23edo">23edo</a> (g=2\23 ~ 104.348¢)<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 /> <a class="wiki_link" href="/Miracle">Miracle</a>[11] in <a class="wiki_link" href="/72edo">72edo</a> (g=7\72 ~ 116.667¢): 7 7 7 7 7 7 7 2 7 7 7<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 /> <a class="wiki_link" href="/baldy11">Baldy</a>[11] in <a class="wiki_link" href="/47edo">47edo</a> (g=8\47 ~ 204.255¢): 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> (g=5\28 ~ 214.286¢): 3 2 3 2 3 2 3 3 2 3 2<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><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> <br /> Range: 218.182¢ (2\11edo) to 240¢ (1\<a class="wiki_link" href="/5edo">5edo</a>)<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> (g=7\37 ~ 227.027¢): 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> (g=6\31 ~ 232.258¢): 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> (g=8\41 ~ 234.146¢): 1 7 1 7 1 7 1 7 1 1 7<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><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> <br /> Range: 300¢ (1\<a class="wiki_link" href="/4edo">4edo</a>) to 327.273¢ (3\11edo)<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="/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> (g=19\72 ~ 316.667¢): 4 4 11 4 4 11 4 11 4 4 11<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><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> <br /> Range: 327.273¢ (3\11edo) to 342.857¢ (2\7edo)<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> (g=13\46 ~ 339.130¢): 1 6 6 1 6 1 6 6 1 6 6<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><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> (g=13\37 ~ 431.622¢): 2 2 2 7 2 2 7 2 2 2 7<br /> <a class="wiki_link" href="/Squares">Squares</a>[11] in <a class="wiki_link" href="/48edo">48edo</a> (g=17\48 = 425¢):8 3 3 8 3 3 3 8 3 3 3<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><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> (g=17\46 ~ 443.478¢): 5 5 5 2 5 5 5 2 5 5 2<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><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> (g=13\29 ~ 537.931¢): 1 3 3 3 3 3 1 3 3 3 3<br /> <a class="wiki_link" href="/Casablanca">Casablanca</a>[11] in <a class="wiki_link" href="/73edo">73edo</a> (g=33\73 ~ 542.466¢): 5 7 7 7 7 7 5 7 7 7 7<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><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> (g=21\46 ~ 547.826¢): 4 4 4 5 4 4 4 4 4 5 4<br /> <a class="wiki_link" href="/Liese">Liese</a>[11] in <a class="wiki_link" href="/74edo">74edo</a> (g=35\74 ~ 567.568¢): 4 4 4 19 4 4 4 4 19 4 4<br /> <a class="wiki_link" href="/Triton">Triton</a>[11] in <a class="wiki_link" href="/19edo">19edo</a> (g=9\19 ~ 568.421¢): 1 1 1 1 5 1 1 1 1 1 5<br /> <a class="wiki_link" href="/Tritonic">Tritonic</a>[11] in <a class="wiki_link" href="/60edo">60edo</a> (g=29\60 = 580¢): 2 2 2 21 2 2 2 2 2 21 2</body></html>