Macrotonal EDO: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 601739156 - Original comment: **
Wikispaces>diagonalia
**Imported revision 602975012 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 15:51:42 UTC</tt>.<br>
: This revision was by author [[User:diagonalia|diagonalia]] and made on <tt>2017-01-02 16:47:41 UTC</tt>.<br>
: The original revision id was <tt>601739156</tt>.<br>
: The original revision id was <tt>602975012</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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<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">[[edo]]: "equal division of the octave". A tuning system which derives its pitches by dividing an octave into some number of logarithmically equal steps. Our cultural monotuning of [[12edo]] is, of course, the most prevalent example of an edo, and often the only one a Western composer composes in.
<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">[[edo]]: "equal division of the octave". A tuning system which derives its pitches by dividing an octave into some number of logarithmically equal steps. Our cultural monotuning of [[12edo]] is, of course, the most prevalent example of an edo, and often the only one a Western composer composes in.


[[Macrotonal]]: literally, "(noticeably) larger than a half step". A "macrotonal" scale would be one where all step sizes exceed 100 cents (in theory) or at least equal 103.5 cents (in practice). Paradoxically, "macrotonal" is a subset of "microtonal," according to the loose definition of microtonal meaning "tuning systems other than 12-tone equal temperament". Just as paradoxically, macrotones will become incisive steps relative to hyperoctaves larger than 1300 cents ([[13edt]] being the canonical example of this paradox).
[[Macrotonal]]: literally, "(noticeably) larger than a half step". A "macrotonal" scale would be one where all step sizes exceed 100 cents (in theory) or at least equal 103.5 cents (in practice). Paradoxically, "macrotonal" is a subset of "microtonal," according to the loose definition of microtonal meaning "tuning systems other than 12-tone equal temperament". Just as paradoxically, macrotones will become incisive steps relative to hyperoctaves larger than 1300 cents ([[13edt]] being the canonical example of this paradox), and also "emphatic" approaches to a scale degree ([[Meantone family|meantone]] temperament being the canonical example of this paradox).


"Macrotonal Edo," then, refers to a tuning system which cuts the octave into fewer than 12 equal parts.
"Macrotonal Edo," then, refers to a tuning system which cuts the octave into fewer than 12 equal parts.
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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">&lt;html&gt;&lt;head&gt;&lt;title&gt;macrotonal edos&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;: &amp;quot;equal division of the octave&amp;quot;. A tuning system which derives its pitches by dividing an octave into some number of logarithmically equal steps. Our cultural monotuning of &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; is, of course, the most prevalent example of an edo, and often the only one a Western composer composes in.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;macrotonal edos&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;: &amp;quot;equal division of the octave&amp;quot;. A tuning system which derives its pitches by dividing an octave into some number of logarithmically equal steps. Our cultural monotuning of &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; is, of course, the most prevalent example of an edo, and often the only one a Western composer composes in.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Macrotonal"&gt;Macrotonal&lt;/a&gt;: literally, &amp;quot;(noticeably) larger than a half step&amp;quot;. A &amp;quot;macrotonal&amp;quot; scale would be one where all step sizes exceed 100 cents (in theory) or at least equal 103.5 cents (in practice). Paradoxically, &amp;quot;macrotonal&amp;quot; is a subset of &amp;quot;microtonal,&amp;quot; according to the loose definition of microtonal meaning &amp;quot;tuning systems other than 12-tone equal temperament&amp;quot;. Just as paradoxically, macrotones will become incisive steps relative to hyperoctaves larger than 1300 cents (&lt;a class="wiki_link" href="/13edt"&gt;13edt&lt;/a&gt; being the canonical example of this paradox).&lt;br /&gt;
&lt;a class="wiki_link" href="/Macrotonal"&gt;Macrotonal&lt;/a&gt;: literally, &amp;quot;(noticeably) larger than a half step&amp;quot;. A &amp;quot;macrotonal&amp;quot; scale would be one where all step sizes exceed 100 cents (in theory) or at least equal 103.5 cents (in practice). Paradoxically, &amp;quot;macrotonal&amp;quot; is a subset of &amp;quot;microtonal,&amp;quot; according to the loose definition of microtonal meaning &amp;quot;tuning systems other than 12-tone equal temperament&amp;quot;. Just as paradoxically, macrotones will become incisive steps relative to hyperoctaves larger than 1300 cents (&lt;a class="wiki_link" href="/13edt"&gt;13edt&lt;/a&gt; being the canonical example of this paradox), and also &amp;quot;emphatic&amp;quot; approaches to a scale degree (&lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; temperament being the canonical example of this paradox).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;quot;Macrotonal Edo,&amp;quot; then, refers to a tuning system which cuts the octave into fewer than 12 equal parts.&lt;br /&gt;
&amp;quot;Macrotonal Edo,&amp;quot; then, refers to a tuning system which cuts the octave into fewer than 12 equal parts.&lt;br /&gt;
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