Map of rank-2 temperaments: Difference between revisions
Wikispaces>keenanpepper **Imported revision 250717844 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 250720914 - 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:keenanpepper|keenanpepper]] and made on <tt>2011-09-04 21: | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-09-04 21:47:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>250720914</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">This is intended to be a map of all interesting linear (rank-2) temperaments that are compatible with octave equivalence. The only linear temperaments not appearing here should be ones like [[Bohlen-Pierce]] that completely lack octaves. | <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">This is intended to be a map of all interesting linear (rank-2) temperaments that are compatible with octave equivalence. The only linear temperaments not appearing here should be ones like [[Bohlen-Pierce]] that completely lack octaves. | ||
Please make sure each fraction of | Please make sure each fraction of an octave is always the [[mediant]] of the ones directly above and below. | ||
==One period per octave== | ==One period per octave== | ||
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|| 1\4 || || || || || || || || || || || || || || | || 1\4 || || || || || || || || || || || || || || | ||
==Three periods per octave== | ==Three periods per octave== | ||
||||||||||||||||||~ Generator ||~ Cents ||~ Comments || | |||
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|| || || || || || || || 1\27 || || || [[Semiaug]] || | |||
|| || || || || || || || || 2\51 || || Semiaug || | |||
|| || || || || || || 1\24 || || || || Semiaug || | |||
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|| || || || 1\15 || || || || || || || || | |||
|| || || || || 2\27 || || || || || || [[Augmented]]/[[augene]] || | |||
|| || || 1\12 || || || || || || || || Augmented/augene/[[august]] || | |||
|| || || || || 3\33 || || || || || || Augmented/august || | |||
|| || || || 2\21 || || || || || || || || | |||
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|| || || || 3\24 || || || || || || || [[Triforce]] || | |||
|| || || 2\15 || || || || || || || || || | |||
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==Four periods per octave== | ==Four periods per octave== | ||
==Five periods per octave== | ==Five periods per octave== | ||
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<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"><html><head><title>Map of rank-2 temperaments</title></head><body>This is intended to be a map of all interesting linear (rank-2) temperaments that are compatible with octave equivalence. The only linear temperaments not appearing here should be ones like <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> that completely lack octaves.<br /> | <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>Map of rank-2 temperaments</title></head><body>This is intended to be a map of all interesting linear (rank-2) temperaments that are compatible with octave equivalence. The only linear temperaments not appearing here should be ones like <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> that completely lack octaves.<br /> | ||
Please make sure each fraction of | Please make sure each fraction of an octave is always the <a class="wiki_link" href="/mediant">mediant</a> of the ones directly above and below.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-One period per octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->One period per octave</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-One period per octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->One period per octave</h2> | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Three periods per octave"></a><!-- ws:end:WikiTextHeadingRule:4 -->Three periods per octave</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Three periods per octave"></a><!-- ws:end:WikiTextHeadingRule:4 -->Three periods per octave</h2> | ||
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<table class="wiki_table"> | |||
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<th colspan="9">Generator<br /> | |||
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<td><a class="wiki_link" href="/Semiaug">Semiaug</a><br /> | |||
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<td><a class="wiki_link" href="/Augmented">Augmented</a>/<a class="wiki_link" href="/augene">augene</a><br /> | |||
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<td>Augmented/augene/<a class="wiki_link" href="/august">august</a><br /> | |||
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<td>Augmented/august<br /> | |||
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<td><a class="wiki_link" href="/Triforce">Triforce</a><br /> | |||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Four periods per octave"></a><!-- ws:end:WikiTextHeadingRule:6 -->Four periods per octave</h2> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Five periods per octave"></a><!-- ws:end:WikiTextHeadingRule:8 -->Five periods per octave</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Five periods per octave"></a><!-- ws:end:WikiTextHeadingRule:8 -->Five periods per octave</h2> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-More than five periods per octave"></a><!-- ws:end:WikiTextHeadingRule:10 -->More than five periods per octave</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-More than five periods per octave"></a><!-- ws:end:WikiTextHeadingRule:10 -->More than five periods per octave</h2> | ||
</body></html></pre></div> | </body></html></pre></div> |