Magic family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 146370575 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 155974809 - 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>2010-06-01 20:47:21 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-08-10 16:12:21 UTC</tt>.<br>
: The original revision id was <tt>146370575</tt>.<br>
: The original revision id was <tt>155974809</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 15: Line 15:


Magic, with its accurate fifths, works well with 9-limit harmony. It's more accurate than meantone and simpler than garibaldi. It's a little tricky to work with because in it fifths are a relatively complex interval and it doesn't naturally work with scales of around seven notes to the octave. Its wedgie is &lt;&lt;5 1 12 -10 5 25||.
Magic, with its accurate fifths, works well with 9-limit harmony. It's more accurate than meantone and simpler than garibaldi. It's a little tricky to work with because in it fifths are a relatively complex interval and it doesn't naturally work with scales of around seven notes to the octave. Its wedgie is &lt;&lt;5 1 12 -10 5 25||.
By adding 100/99 to the list of commas, magic can be extended to an 11-limit version, &lt;&lt;5 1 12 -8 ... ||. For this, [[104edo]] provides an excellent tuning, as it does also for the rank three temperaments tempering out 100/99 with either 225/224 or 243/243.


===Muggles===
===Muggles===
Line 28: Line 30:
&lt;br /&gt;
&lt;br /&gt;
Magic, with its accurate fifths, works well with 9-limit harmony. It's more accurate than meantone and simpler than garibaldi. It's a little tricky to work with because in it fifths are a relatively complex interval and it doesn't naturally work with scales of around seven notes to the octave. Its wedgie is &amp;lt;&amp;lt;5 1 12 -10 5 25||.&lt;br /&gt;
Magic, with its accurate fifths, works well with 9-limit harmony. It's more accurate than meantone and simpler than garibaldi. It's a little tricky to work with because in it fifths are a relatively complex interval and it doesn't naturally work with scales of around seven notes to the octave. Its wedgie is &amp;lt;&amp;lt;5 1 12 -10 5 25||.&lt;br /&gt;
&lt;br /&gt;
By adding 100/99 to the list of commas, magic can be extended to an 11-limit version, &amp;lt;&amp;lt;5 1 12 -8 ... ||. For this, &lt;a class="wiki_link" href="/104edo"&gt;104edo&lt;/a&gt; provides an excellent tuning, as it does also for the rank three temperaments tempering out 100/99 with either 225/224 or 243/243.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Seven limit children-Muggles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Muggles&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Seven limit children-Muggles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Muggles&lt;/h3&gt;
Aside from 3125/3072 and 875/864 muggles also tempers out 126/125 and 1323/1280. A good muggles tuning is &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, in which tuning it's the same thing as magic. Muggles works better for small scales than magic in the sense that 7 or 10 note MOS are reasonable choices. The muggles wedgie is &amp;lt;&amp;lt;5 1 -7 -10 -25 -19||.&lt;/body&gt;&lt;/html&gt;</pre></div>
Aside from 3125/3072 and 875/864 muggles also tempers out 126/125 and 1323/1280. A good muggles tuning is &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, in which tuning it's the same thing as magic. Muggles works better for small scales than magic in the sense that 7 or 10 note MOS are reasonable choices. The muggles wedgie is &amp;lt;&amp;lt;5 1 -7 -10 -25 -19||.&lt;/body&gt;&lt;/html&gt;</pre></div>