Wikispaces>Andrew_Heathwaite |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | "Macrotonal" may mean "containing no steps the size of a semitone or smaller". If we use the 12edo semitone as a standard, that would mean all steps are larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 20:47:22 UTC</tt>.<br>
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| : The original revision id was <tt>111027077</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">"Macrotonal" may mean "containing no steps the size of a semitone or smaller". 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.
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| Some possible further constraints on 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.
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| ** [[1edo]], [[2edo]], [[3edo]], [[4edo]], [[5edo]], [[6edo]], [[7edo]], [[8edo]], [[9edo]], [[10edo]], [[11edo]]
| | <ul><li>[[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.<ul><li>[[1edo|1edo]], [[2edo|2edo]], [[3edo|3edo]], [[4edo|4edo]], [[5edo|5edo]], [[6edo|6edo]], [[7edo|7edo]], [[8edo|8edo]], [[9edo|9edo]], [[10edo|10edo]], [[11edo|11edo]]</li></ul></li><li>[[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.<ul><li>eg. [[BP|Bohlen-Pierce]], [[square_root_of_13_over_10|square root of 13:10]] , [[6edf|6th root of 3:2]] ....</li></ul></li><li>macrotonal non-equal - another infinite set. The traditional pentatonic scale of [[2L_3s|2L 3s]] (such as you might find on the black keys of the piano) is one easy example. Also:<ul><li>9-note [[Semicomma_family|Orwell]], [[17edo_neutral_scale|17edo neutral scale]], overtones 5-10, [[pelog|pelog]] & [[slendro|slendro]]....</li></ul></li></ul> [[Category:macrotonal]] |
| * [[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.
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| ** eg. [[BP|Bohlen-Pierce]], [[square root of 13 over 10|square root of 13:10]] , [[6edf|6th root of 3:2]] ....
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| * 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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| ** 9-note [[Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>
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| <h4>Original HTML content:</h4>
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| <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>macrotonal</title></head><body>&quot;Macrotonal&quot; may mean &quot;containing no steps the size of a semitone or smaller&quot;. 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 /> | |
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| Some possible further constraints on a macrotonal scale:<br />
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| <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>
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