Tour of regular temperaments: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 149679389 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 149679425 - Original comment: **
Line 1: Line 1:
<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>2010-06-20 07:00:28 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-20 07:01:30 UTC</tt>.<br>
: The original revision id was <tt>149679389</tt>.<br>
: The original revision id was <tt>149679425</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>
Line 67: Line 67:
Even less familiar than rank 2 temperaments are the [[Planar Temperament|rank 3 temperaments]], based on a set of three intervals. Since these temperaments may be mapped in many different ways, it is more common to identify rank 3 temperaments by the commas they temper out.
Even less familiar than rank 2 temperaments are the [[Planar Temperament|rank 3 temperaments]], based on a set of three intervals. Since these temperaments may be mapped in many different ways, it is more common to identify rank 3 temperaments by the commas they temper out.


===Marvel family===  
===[[Marvel family]]===  
Tempers out 225/224. An excellent tuning for marvel is [[240edo]]. It extends in a natural way to unidecimal marvel, which tempers out 385/384, for which the slightly less accurate tuning of [[72edo]] works well. Marvel is generated by 2, 3, and 5, the same generators as the [[Harmonic Limit|5-limit]], which means a scale can be converted to marvel or unidecimal marvel simply by tempering it.
Tempers out 225/224. An excellent tuning for marvel is [[240edo]]. It extends in a natural way to unidecimal marvel, which tempers out 385/384, for which the slightly less accurate tuning of [[72edo]] works well. Marvel is generated by 2, 3, and 5, the same generators as the [[Harmonic Limit|5-limit]], which means a scale can be converted to marvel or unidecimal marvel simply by tempering it.


Line 147: Line 147:
Even less familiar than rank 2 temperaments are the &lt;a class="wiki_link" href="/Planar%20Temperament"&gt;rank 3 temperaments&lt;/a&gt;, based on a set of three intervals. Since these temperaments may be mapped in many different ways, it is more common to identify rank 3 temperaments by the commas they temper out.&lt;br /&gt;
Even less familiar than rank 2 temperaments are the &lt;a class="wiki_link" href="/Planar%20Temperament"&gt;rank 3 temperaments&lt;/a&gt;, based on a set of three intervals. Since these temperaments may be mapped in many different ways, it is more common to identify rank 3 temperaments by the commas they temper out.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="Rank 3 temperaments--Marvel family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Marvel family&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="Rank 3 temperaments--Marvel family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;&lt;a class="wiki_link" href="/Marvel%20family"&gt;Marvel family&lt;/a&gt;&lt;/h3&gt;
  Tempers out 225/224. An excellent tuning for marvel is &lt;a class="wiki_link" href="/240edo"&gt;240edo&lt;/a&gt;. It extends in a natural way to unidecimal marvel, which tempers out 385/384, for which the slightly less accurate tuning of &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt; works well. Marvel is generated by 2, 3, and 5, the same generators as the &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;5-limit&lt;/a&gt;, which means a scale can be converted to marvel or unidecimal marvel simply by tempering it.&lt;br /&gt;
  Tempers out 225/224. An excellent tuning for marvel is &lt;a class="wiki_link" href="/240edo"&gt;240edo&lt;/a&gt;. It extends in a natural way to unidecimal marvel, which tempers out 385/384, for which the slightly less accurate tuning of &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt; works well. Marvel is generated by 2, 3, and 5, the same generators as the &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;5-limit&lt;/a&gt;, which means a scale can be converted to marvel or unidecimal marvel simply by tempering it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;