Star and Nova: Difference between revisions

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**Imported revision 361692230 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 361697372 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-09-03 13:23:13 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-09-03 13:54:21 UTC</tt>.<br>
: The original revision id was <tt>361692230</tt>.<br>
: The original revision id was <tt>361697372</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">Star is an eight-note tempered scale, with something of the sound of the [[octatonic scale]]; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which are some 5-limit [[Fokker blocks]] which serve as [[transversal|transversals]] for star. The blocks [[smithgw_star]] and [[smithgw_star2]] can both serve as transversals; the first, 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4; the second, 27/25-6/5-5/4-36/25-3/2-5/3-9/5-2/1, is the same chain and its translation by 3/2. Both scales by the manner of their construction have six major and six minor triads. </pre></div>
<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">Star is an eight-note tempered scale, with something of the sound of the [[octatonic scale]]; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit [[Fokker blocks|Fokker black]] which serves as a [[transversal]] for star. The block in question is [[smithgw_star]], 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4, and has three major and three minor triads.
 
By tempering out 126/125, leading to [[Starling+family#x7-limit starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to [[Starling family#x7-limit starling-11-limit|11-limit starling]], the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament [[Starling temperaments#Valentine temperament-11-limit|valentine]], so we may consider star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of star are -4, 0, 1, 4, 5, 8, 9, 13 generators.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Star and Nova&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Star is an eight-note tempered scale, with something of the sound of the &lt;a class="wiki_link" href="/octatonic%20scale"&gt;octatonic scale&lt;/a&gt;; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which are some 5-limit &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker blocks&lt;/a&gt; which serve as &lt;a class="wiki_link" href="/transversal"&gt;transversals&lt;/a&gt; for star. The blocks &lt;a class="wiki_link" href="/smithgw_star"&gt;smithgw_star&lt;/a&gt; and &lt;a class="wiki_link" href="/smithgw_star2"&gt;smithgw_star2&lt;/a&gt; can both serve as transversals; the first, 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4; the second, 27/25-6/5-5/4-36/25-3/2-5/3-9/5-2/1, is the same chain and its translation by 3/2. Both scales by the manner of their construction have six major and six minor triads.&lt;/body&gt;&lt;/html&gt;</pre></div>
<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;Star and Nova&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Star is an eight-note tempered scale, with something of the sound of the &lt;a class="wiki_link" href="/octatonic%20scale"&gt;octatonic scale&lt;/a&gt;; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker black&lt;/a&gt; which serves as a &lt;a class="wiki_link" href="/transversal"&gt;transversal&lt;/a&gt; for star. The block in question is &lt;a class="wiki_link" href="/smithgw_star"&gt;smithgw_star&lt;/a&gt;, 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4, and has three major and three minor triads.&lt;br /&gt;
&lt;br /&gt;
By tempering out 126/125, leading to [[Starling+family#x7-limit starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to &lt;a class="wiki_link" href="/Starling%20family#x7-limit starling-11-limit"&gt;11-limit starling&lt;/a&gt;, the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament &lt;a class="wiki_link" href="/Starling%20temperaments#Valentine temperament-11-limit"&gt;valentine&lt;/a&gt;, so we may consider star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of star are -4, 0, 1, 4, 5, 8, 9, 13 generators.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 13:54, 3 September 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-09-03 13:54:21 UTC.
The original revision id was 361697372.
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:

Star is an eight-note tempered scale, with something of the sound of the [[octatonic scale]]; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit [[Fokker blocks|Fokker black]] which serves as a [[transversal]] for star. The block in question is [[smithgw_star]], 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4, and has three major and three minor triads.

By tempering out 126/125, leading to [[Starling+family#x7-limit starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to [[Starling family#x7-limit starling-11-limit|11-limit starling]], the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament [[Starling temperaments#Valentine temperament-11-limit|valentine]], so we may consider star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of star are -4, 0, 1, 4, 5, 8, 9, 13 generators.

Original HTML content:

<html><head><title>Star and Nova</title></head><body>Star is an eight-note tempered scale, with something of the sound of the <a class="wiki_link" href="/octatonic%20scale">octatonic scale</a>; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit <a class="wiki_link" href="/Fokker%20blocks">Fokker black</a> which serves as a <a class="wiki_link" href="/transversal">transversal</a> for star. The block in question is <a class="wiki_link" href="/smithgw_star">smithgw_star</a>, 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4, and has three major and three minor triads.<br />
<br />
By tempering out 126/125, leading to [[Starling+family#x7-limit starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to <a class="wiki_link" href="/Starling%20family#x7-limit starling-11-limit">11-limit starling</a>, the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament-11-limit">valentine</a>, so we may consider star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of star are -4, 0, 1, 4, 5, 8, 9, 13 generators.</body></html>
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