Tour of regular temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 146669597 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 146679587 - Original comment: the method could by described in an own article** |
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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> | ||
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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> | ||
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===Orwell[[#orwell]]=== | ===Orwell[[#orwell]]=== | ||
So called because 19/84 (as a fraction of the octave) is a possible generator of this temperament, orwell divides the interval of a twelfth (a tempered 3/1 frequency ratio) into 7 equal steps. It's compatible with 22, 31 and 53-EDO. It's reasonable in the 7-limit and naturally extends into the 11-limit. | So called because 19/84 (as a [[fraction of the octave]]) is a possible generator of this temperament, orwell divides the interval of a twelfth (a tempered 3/1 frequency ratio) into 7 equal steps. It's compatible with 22, 31 and 53-EDO. It's reasonable in the 7-limit and naturally extends into the 11-limit. | ||
==Rank 3 temperaments== | ==Rank 3 temperaments== | ||
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<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x-Rank 2 (including &quot;linear&quot;) temperaments-Orwell"></a><!-- ws:end:WikiTextHeadingRule:18 -->Orwell<!-- ws:start:WikiTextAnchorRule:31:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@orwell&quot; title=&quot;Anchor: orwell&quot;/&gt; --><a name="orwell"></a><!-- ws:end:WikiTextAnchorRule:31 --></h3> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x-Rank 2 (including &quot;linear&quot;) temperaments-Orwell"></a><!-- ws:end:WikiTextHeadingRule:18 -->Orwell<!-- ws:start:WikiTextAnchorRule:31:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@orwell&quot; title=&quot;Anchor: orwell&quot;/&gt; --><a name="orwell"></a><!-- ws:end:WikiTextAnchorRule:31 --></h3> | ||
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So called because 19/84 (as a fraction of the octave) is a possible generator of this temperament, orwell divides the interval of a twelfth (a tempered 3/1 frequency ratio) into 7 equal steps. It's compatible with 22, 31 and 53-EDO. It's reasonable in the 7-limit and naturally extends into the 11-limit.<br /> | So called because 19/84 (as a <a class="wiki_link" href="/fraction%20of%20the%20octave">fraction of the octave</a>) is a possible generator of this temperament, orwell divides the interval of a twelfth (a tempered 3/1 frequency ratio) into 7 equal steps. It's compatible with 22, 31 and 53-EDO. It's reasonable in the 7-limit and naturally extends into the 11-limit.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x-Rank 3 temperaments"></a><!-- ws:end:WikiTextHeadingRule:20 -->Rank 3 temperaments</h2> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x-Rank 3 temperaments"></a><!-- ws:end:WikiTextHeadingRule:20 -->Rank 3 temperaments</h2> |