6L 1s: 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:guest|guest]] and made on <tt>2011-07-21 14:46:11 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2011-07-21 14:47:01 UTC</tt>.<br>

: The original revision id was <tt>~~242305257~~</tt>.<br>

: The original revision id was <tt>242305375</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>

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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 two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the roulette [[Chromatic pair]]. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.)

The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for L=7 s=4 (46 edo) ~~the lattice looks like this:~~

The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.

~~28 14 0~~

~~21 7 39~~

~~0 32~~

~~and variations thereupon~~.

Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step.

||||||||||||~ Generator ||~ Cents ||~ Comments ||

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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>6L 1s</title></head><body>There are two notable harmonic entropy minima with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Tetracot%20family">tetracot</a>, in which four generators make a 3/2, and the second is known as <a class="wiki_link" href="/roulette7">roulette7</a>, the seven note albitonic scale for the roulette <a class="wiki_link" href="/Chromatic%20pair">Chromatic pair</a>. (Other temperaments like &quot;luna&quot;, &quot;hemithird&quot;, and &quot;hemiwürschmidt&quot; have very similar 7-note MOSes.)<br />

<br />

The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for L=7 s=4 (46 edo) ~~the lattice looks like this:<br />~~

The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.<br />

~~28 14 0<br />~~

~~21 7 39<br />~~

~~0 32<br />~~

~~and variations thereupon~~.~~<br />~~

<br />

Scales of this form are always <a class="wiki_link" href="/Rothenberg%20propriety">proper</a>, because there is only one small step.<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:guest|guest]] and made on <tt>2011-07-21 14:46:11 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2011-07-21 14:47:01 UTC</tt>.<br>
-: The original revision id was <tt>242305257</tt>.<br>
+: The original revision id was <tt>242305375</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 two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the roulette [[Chromatic pair]]. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.)
-The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for L=7 s=4 (46 edo) the lattice looks like this:
+The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.
-14 0
-7 39
-  32
-and variations thereupon.
 Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step.
 ||||||||||||~ Generator ||~ Cents ||~ Comments ||
@@ Line 29: / Line 24: @@
 <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;6L 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable harmonic entropy minima with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot&lt;/a&gt;, in which four generators make a 3/2, and the second is known as &lt;a class="wiki_link" href="/roulette7"&gt;roulette7&lt;/a&gt;, the seven note albitonic scale for the roulette &lt;a class="wiki_link" href="/Chromatic%20pair"&gt;Chromatic pair&lt;/a&gt;. (Other temperaments like &amp;quot;luna&amp;quot;, &amp;quot;hemithird&amp;quot;, and &amp;quot;hemiwürschmidt&amp;quot; have very similar 7-note MOSes.)&lt;br /&gt;
 &lt;br /&gt;
-The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for L=7 s=4 (46 edo) the lattice looks like this:&lt;br /&gt;
+The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.&lt;br /&gt;
-14 0&lt;br /&gt;
-7 39&lt;br /&gt;
-  32&lt;br /&gt;
-and variations thereupon.&lt;br /&gt;
-&lt;br /&gt;
 Scales of this form are always &lt;a class="wiki_link" href="/Rothenberg%20propriety"&gt;proper&lt;/a&gt;, because there is only one small step.&lt;br /&gt;