Macrotonal: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 101989027 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 111025381 - 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- | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 18:58:44 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>111025381</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 [[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 13:10, [[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: | ||
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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><a class="wiki_link" href="/ | <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>macrotonal <a class="wiki_link" href="/edonoi">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>, square root of 13:10, <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> | ||
Revision as of 18:58, 24 December 2009
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 2009-12-24 18:58:44 UTC.
- The original revision id was 111025381.
- 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:
"Macrotonal" may mean "containing no steps the size of a semitone or larger". If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale. Some possible further constraints on a macrotonal scale: * [[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]] * 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]] .... * 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]]....
Original HTML content:
<html><head><title>macrotonal</title></head><body>"Macrotonal" may mean "containing no steps the size of a semitone or larger". If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.<br /> <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>macrotonal <a class="wiki_link" href="/edonoi">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>, square root of 13:10, <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> & <a class="wiki_link" href="/slendro">slendro</a>....</li></ul></li></ul></body></html>