Macrotonal - Revision history

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2018-07-17T00:00:00Z

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+"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.
 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]]
+<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]] &amp; [[slendro|slendro]]....</li></ul></li></ul>      [[Category:macrotonal]]

Wikispaces>robertinventor: Imported revision 586723663 - Original comment:

2016-07-08T22:42:39Z

**Imported revision 586723663 - Original comment: **

Wikispaces>robertinventor: Imported revision 586723645 - Original comment:

2016-07-08T22:41:46Z

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Wikispaces>genewardsmith: Imported revision 205696292 - Original comment:

2011-02-28T11:21:34Z

**Imported revision 205696292 - Original comment: **

Wikispaces>Andrew_Heathwaite: Imported revision 111027077 - Original comment:

2009-12-24T20:47:22Z

**Imported revision 111027077 - Original comment: **

Wikispaces>Andrew_Heathwaite: Imported revision 111027049 - Original comment:

2009-12-24T20:45:51Z

**Imported revision 111027049 - Original comment: **

Wikispaces>Andrew_Heathwaite: Imported revision 111025381 - Original comment:

2009-12-24T18:58:44Z

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Wikispaces>Andrew_Heathwaite: Imported revision 101989027 - Original comment:

2009-11-11T17:09:58Z

**Imported revision 101989027 - Original comment: **

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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>2009-11-11 17:09:58 UTC</tt>.<br>
: The original revision id was <tt>101989027</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>
<h4>Original Wikitext content:</h4>
<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 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 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]] ....
* 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>
<h4>Original HTML content:</h4>
<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 larger&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 />
<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="/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>, 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>

← Older revision		Revision as of 22:42, 8 July 2016
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	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:robertinventor\|robertinventor]] and made on <tt>2016-07-08 22:41:46 UTC</tt>.<br>		: This revision was by author [[User:robertinventor\|robertinventor]] and made on <tt>2016-07-08 22:42:39 UTC</tt>.<br>
	: The original revision id was <tt>~~586723645~~</tt>.<br>		: The original revision id was <tt>586723663</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>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<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 ~~smaller~~ than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.		<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 all steps are 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:		Some possible further constraints on a macrotonal scale:
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	** 9-note [[Semicomma family\|Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>		** 9-note [[Semicomma family\|Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<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 ~~smaller~~ than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.<br />		<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 all steps are larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.<br />
	<br />		<br />
	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="/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="/Semicomma%20family">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>		<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="/Semicomma%20family">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>

← Older revision		Revision as of 22:41, 8 July 2016
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	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:~~genewardsmith~~\|~~genewardsmith~~]] and made on <tt>~~2011~~-02-~~28 11~~:21:34 UTC</tt>.<br>		: This revision was by author [[User:robertinventor\|robertinventor]] and made on <tt>2016-07-08 22:41:46 UTC</tt>.<br>
	: The original revision id was <tt>~~205696292~~</tt>.<br>		: The original revision id was <tt>586723645</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>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<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.		<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 smaller than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.

	Some possible further constraints on a macrotonal scale:		Some possible further constraints on a macrotonal scale:
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	** 9-note [[Semicomma family\|Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>		** 9-note [[Semicomma family\|Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<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 />		<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 smaller than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.<br />
	<br />		<br />
	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="/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="/Semicomma%20family">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>		<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="/Semicomma%20family">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>

← Older revision		Revision as of 11:21, 28 February 2011
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	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~~:47:22 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-02-28 11:21:34 UTC</tt>.<br>
	: The original revision id was <tt>~~111027077~~</tt>.<br>		: The original revision id was <tt>205696292</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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	** eg. [[BP\|Bohlen-Pierce]], [[square root of 13 over 10\|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 [[Semicomma family\|Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<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 />		<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 />
	<br />		<br />
	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="/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>		<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="/Semicomma%20family">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>

← Older revision		Revision as of 20:47, 24 December 2009
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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 20:45:51 UTC</tt>.<br>		: 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>~~111027049~~</tt>.<br>		: 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~~ [[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.		* [[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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	<br />		<br />
	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>~~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>		<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>

← Older revision		Revision as of 20:45, 24 December 2009
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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 18:58:44 UTC</tt>.<br>		: This revision was by author [[User:Andrew_Heathwaite\|Andrew_Heathwaite]] and made on <tt>2009-12-24 20:45:51 UTC</tt>.<br>
	: The original revision id was <tt>~~111025381~~</tt>.<br>		: The original revision id was <tt>111027049</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>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<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 ~~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.		<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.

	Some possible further constraints on a macrotonal scale:		Some possible further constraints on a macrotonal scale:
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	** 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>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<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 ~~larger~~&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 />		<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 />
	<br />		<br />
	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>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>		<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>

← Older revision		Revision as of 18:58, 24 December 2009
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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>2009-11-~~11 17~~:09:58 UTC</tt>.<br>		: 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>~~101989027~~</tt>.<br>		: 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 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.		* 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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	<br />		<br />
	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="/~~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>, 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>		<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>

Macrotonal - Revision history

Wikispaces>FREEZE at 00:00, 17 July 2018

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