Macrotonal: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 111027049 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 111027077 - 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>2009-12-24 20: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 20:47:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>111027077</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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* [[macrotonal edos|macrotonal edo]] - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales. | * [[macrotonal edos|macrotonal edo]] - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales. | ||
** [[1edo]], [[2edo]], [[3edo]], [[4edo]], [[5edo]], [[6edo]], [[7edo]], [[8edo]], [[9edo]], [[10edo]], [[11edo]] | ** [[1edo]], [[2edo]], [[3edo]], [[4edo]], [[5edo]], [[6edo]], [[7edo]], [[8edo]], [[9edo]], [[10edo]], [[11edo]] | ||
* | * [[macrotonal edonois|macrotonal edonoi]] - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set. | ||
** eg. [[BP|Bohlen-Pierce]], square root of 13:10, [[6edf|6th root of 3:2]] .... | ** eg. [[BP|Bohlen-Pierce]], [[square root of 13 over 10|square root of 13:10]] , [[6edf|6th root of 3:2]] .... | ||
* macrotonal non-equal - another infinite set. The traditional pentatonic scale of [[2L 3s]] (such as you might find on the black keys of the piano) is one easy example. Also: | * macrotonal non-equal - another infinite set. The traditional pentatonic scale of [[2L 3s]] (such as you might find on the black keys of the piano) is one easy example. Also: | ||
** 9-note [[Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div> | ** 9-note [[Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div> | ||
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Some possible further constraints on a macrotonal scale:<br /> | Some possible further constraints on a macrotonal scale:<br /> | ||
<ul><li><a class="wiki_link" href="/macrotonal%20edos">macrotonal edo</a> - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.<ul><li><a class="wiki_link" href="/1edo">1edo</a>, <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a>, <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/7edo">7edo</a>, <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/10edo">10edo</a>, <a class="wiki_link" href="/11edo">11edo</a></li></ul></li><li> | <ul><li><a class="wiki_link" href="/macrotonal%20edos">macrotonal edo</a> - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.<ul><li><a class="wiki_link" href="/1edo">1edo</a>, <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a>, <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/7edo">7edo</a>, <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/10edo">10edo</a>, <a class="wiki_link" href="/11edo">11edo</a></li></ul></li><li><a class="wiki_link" href="/macrotonal%20edonois">macrotonal edonoi</a> - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.<ul><li>eg. <a class="wiki_link" href="/BP">Bohlen-Pierce</a>, <a class="wiki_link" href="/square%20root%20of%2013%20over%2010">square root of 13:10</a> , <a class="wiki_link" href="/6edf">6th root of 3:2</a> ....</li></ul></li><li>macrotonal non-equal - another infinite set. The traditional pentatonic scale of <a class="wiki_link" href="/2L%203s">2L 3s</a> (such as you might find on the black keys of the piano) is one easy example. Also:<ul><li>9-note <a class="wiki_link" href="/Orwell">Orwell</a>, <a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a>, overtones 5-10, <a class="wiki_link" href="/pelog">pelog</a> &amp; <a class="wiki_link" href="/slendro">slendro</a>....</li></ul></li></ul></body></html></pre></div> | ||