Skip-fifteen scale: Difference between revisions

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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:genewardsmith|genewardsmith]] and made on <tt>2015-11-~~04 14~~:27:46 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-11-05 13:13:53 UTC</tt>.<br>

: The original revision id was <tt>~~565192191~~</tt>.<br>

: The original revision id was <tt>565339669</tt>.<br>

: The revision comment was: <tt></tt><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">There are actually two **skip-fifteen scales**, a utonal and an otonal version. Both are heptatonic scales (seven tones per octave).

I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the [[Dwarves|dwarf scale]] for the 13-limit 7edo patent val. It is epimorphic and [[constant structure]].]

I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the [[Dwarves|dwarf scale]] for the 13-limit 7edo patent val. It is epimorphic and [[constant structure]]. It is also the 13-limit otonal heptad, and has been listed here as [[http://xenharmonic.wikispaces.com/oheptad|oheptad]], and the utonal version as [[http://xenharmonic.wikispaces.com/uheptad|uheptad]].]

A skip-fifteen scale is the octave-repeating scale in just intonation consisting of all the harmonics between 8 and 16, but skipping the 15th (hence the name). The utonal version instead uses the subharmonics between 1/16 and 1/8, excluding 1/15.

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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>Skip-fifteen scale</title></head><body>There are actually two <strong>skip-fifteen scales</strong>, a utonal and an otonal version. Both are heptatonic scales (seven tones per octave).<br />

<br />

I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the <a class="wiki_link" href="/Dwarves">dwarf scale</a> for the 13-limit 7edo patent val. It is epimorphic and <a class="wiki_link" href="/constant%20structure">constant structure</a>.]<br />

I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the <a class="wiki_link" href="/Dwarves">dwarf scale</a> for the 13-limit 7edo patent val. It is epimorphic and <a class="wiki_link" href="/constant%20structure">constant structure</a>. It is also the 13-limit otonal heptad, and has been listed here as <a href="http://xenharmonic.wikispaces.com/oheptad">oheptad</a>, and the utonal version as <a href="http://xenharmonic.wikispaces.com/uheptad">uheptad</a>.]<br />

<br />

A skip-fifteen scale is the octave-repeating scale in just intonation consisting of all the harmonics between 8 and 16, but skipping the 15th (hence the name). The utonal version instead uses the subharmonics between 1/16 and 1/8, excluding 1/15.<br />

@@ Line 1: / Line 1: @@
 <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:genewardsmith|genewardsmith]] and made on <tt>2015-11-04 14:27:46 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-11-05 13:13:53 UTC</tt>.<br>
-: The original revision id was <tt>565192191</tt>.<br>
+: The original revision id was <tt>565339669</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>
@@ Line 8: / Line 8: @@
 <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">There are actually two **skip-fifteen scales**, a utonal and an otonal version. Both are heptatonic scales (seven tones per octave).
-I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the [[Dwarves|dwarf scale]] for the 13-limit 7edo patent val. It is epimorphic and [[constant structure]].]
+I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the [[Dwarves|dwarf scale]] for the 13-limit 7edo patent val. It is epimorphic and [[constant structure]]. It is also the 13-limit otonal heptad, and has been listed here as [[http://xenharmonic.wikispaces.com/oheptad|oheptad]], and the utonal version as [[http://xenharmonic.wikispaces.com/uheptad|uheptad]].]
 A skip-fifteen scale is the octave-repeating scale in just intonation consisting of all the harmonics between 8 and 16, but skipping the 15th (hence the name). The utonal version instead uses the subharmonics between 1/16 and 1/8, excluding 1/15.
@@ Line 53: / Line 53: @@
 <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;Skip-fifteen scale&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are actually two &lt;strong&gt;skip-fifteen scales&lt;/strong&gt;, a utonal and an otonal version. Both are heptatonic scales (seven tones per octave).&lt;br /&gt;
 &lt;br /&gt;
-I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the &lt;a class="wiki_link" href="/Dwarves"&gt;dwarf scale&lt;/a&gt; for the 13-limit 7edo patent val. It is epimorphic and &lt;a class="wiki_link" href="/constant%20structure"&gt;constant structure&lt;/a&gt;.]&lt;br /&gt;
+I (Mason Green) am not sure if anyone else has written about this type of scale before. It might be a re-discovery, but I find it interesting. [In fact, the otonal skip15 is the &lt;a class="wiki_link" href="/Dwarves"&gt;dwarf scale&lt;/a&gt; for the 13-limit 7edo patent val. It is epimorphic and &lt;a class="wiki_link" href="/constant%20structure"&gt;constant structure&lt;/a&gt;. It is also the 13-limit otonal heptad, and has been listed here as &lt;a href="http://xenharmonic.wikispaces.com/oheptad"&gt;oheptad&lt;/a&gt;, and the utonal version as &lt;a href="http://xenharmonic.wikispaces.com/uheptad"&gt;uheptad&lt;/a&gt;.]&lt;br /&gt;
 &lt;br /&gt;
 A skip-fifteen scale is the octave-repeating scale in just intonation consisting of all the harmonics between 8 and 16, but skipping the 15th (hence the name). The utonal version instead uses the subharmonics between 1/16 and 1/8, excluding 1/15.&lt;br /&gt;