Mint temperaments: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 205266502 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 238463913 - 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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-23 17:23:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>238463913</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">These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo. | <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">These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36_35|36/35]]. 36 is both a square and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo. | ||
==Progression== | ==Progression== | ||
[[Comma]]s: 36/35, 392/375 | |||
[[POTE tuning|POTE generator]]: ~15/14 = 140.927 | [[POTE tuning|POTE generator]]: ~15/14 = 140.927 | ||
Map: [<1 1 2 2|, <0 5 3 7|] | Map: [<1 1 2 2|, <0 5 3 7|] | ||
EDOs: 8, 9, 17 | EDOs: [[8edo|8]], [[9edo|9]], [[17edo|17]] | ||
Badness: 0.0484 | [[Badness]]: 0.0484 | ||
===11-limit=== | ===11-limit=== | ||
| Line 50: | Line 50: | ||
Map: [<1 1 2 2 3 3 4 4|, <0 5 3 7 4 6 1 2|] | Map: [<1 1 2 2 3 3 4 4|, <0 5 3 7 4 6 1 2|] | ||
EDOs: 8, 9, 17, 94 | EDOs: 8, 9, 17, [[94edo|94]] | ||
Badness: 0.0168 | Badness: 0.0168 | ||
| Line 60: | Line 60: | ||
Map: [<1 2 3 3|, <0 -5 -8 -2|] | Map: [<1 2 3 3|, <0 -5 -8 -2|] | ||
Wedgie: <<5 8 2 1 -11 -18|| | Wedgie: <<5 8 2 1 -11 -18|| | ||
EDOs: 12 | EDOs: [[12edo|12]] | ||
Badness: 0.0597 | Badness: 0.0597 | ||
</pre></div> | </pre></div> | ||
<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>Mint temperaments</title></head><body>These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<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>Mint temperaments</title></head><body>These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Progression"></a><!-- ws:end:WikiTextHeadingRule:0 -->Progression</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Progression"></a><!-- ws:end:WikiTextHeadingRule:0 -->Progression</h2> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 36/35, 392/375<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.927<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.927<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]<br /> | Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]<br /> | ||
EDOs: 8, 9, 17<br /> | EDOs: <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/17edo">17</a><br /> | ||
Badness: 0.0484<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0484<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Progression-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h3> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Progression-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h3> | ||
| Line 108: | Line 108: | ||
<br /> | <br /> | ||
Map: [&lt;1 1 2 2 3 3 4 4|, &lt;0 5 3 7 4 6 1 2|]<br /> | Map: [&lt;1 1 2 2 3 3 4 4|, &lt;0 5 3 7 4 6 1 2|]<br /> | ||
EDOs: 8, 9, 17, 94<br /> | EDOs: 8, 9, 17, <a class="wiki_link" href="/94edo">94</a><br /> | ||
Badness: 0.0168<br /> | Badness: 0.0168<br /> | ||
<br /> | <br /> | ||
| Line 118: | Line 118: | ||
Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]<br /> | Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]<br /> | ||
Wedgie: &lt;&lt;5 8 2 1 -11 -18||<br /> | Wedgie: &lt;&lt;5 8 2 1 -11 -18||<br /> | ||
EDOs: 12<br /> | EDOs: <a class="wiki_link" href="/12edo">12</a><br /> | ||
Badness: 0.0597</body></html></pre></div> | Badness: 0.0597</body></html></pre></div> | ||
Revision as of 17:23, 23 June 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2011-06-23 17:23:31 UTC.
- The original revision id was 238463913.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36_35|36/35]]. 36 is both a square and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo. ==Progression== [[Comma]]s: 36/35, 392/375 [[POTE tuning|POTE generator]]: ~15/14 = 140.927 Map: [<1 1 2 2|, <0 5 3 7|] EDOs: [[8edo|8]], [[9edo|9]], [[17edo|17]] [[Badness]]: 0.0484 ===11-limit=== Commas: 36/35, 56/55, 77/75 [[POTE tuning|POTE generator]]: ~15/14 = 140.747 Map: [<1 1 2 2 3|, <0 5 3 7 4|] EDOs: 8, 9, 17 Badness: 0.0261 ===13-limit=== Commas: 26/25, 36/35, 56/55, 66/65 [[POTE tuning|POTE generator]]: ~15/14 = 140.751 Map: Map: [<1 1 2 2 3 3|, <0 5 3 7 4 6|] EDOs: 8, 9, 17 Badness: 0.0182 ===17-limit=== Commas: 26/25, 36/35, 51/50, 56/55, 66/65 [[POTE tuning|POTE generator]]: ~15/14 = 141.404 Map: [<1 1 2 2 3 3 4|, <0 5 3 7 4 6 1|] EDOs: 8, 9, 17 Badness: 0.0167 ===19-limit=== Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65 [[POTE tuning|POTE generator]]: ~15/14 = 140.479 Map: [<1 1 2 2 3 3 4 4|, <0 5 3 7 4 6 1 2|] EDOs: 8, 9, 17, [[94edo|94]] Badness: 0.0168 ==Ripple== Commas: 36/35, 2560/2401 [[POTE tuning|POTE generator]]: Map: [<1 2 3 3|, <0 -5 -8 -2|] Wedgie: <<5 8 2 1 -11 -18|| EDOs: [[12edo|12]] Badness: 0.0597
Original HTML content:
<html><head><title>Mint temperaments</title></head><body>These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Progression"></a><!-- ws:end:WikiTextHeadingRule:0 -->Progression</h2> <a class="wiki_link" href="/Comma">Comma</a>s: 36/35, 392/375<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.927<br /> <br /> Map: [<1 1 2 2|, <0 5 3 7|]<br /> EDOs: <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/17edo">17</a><br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.0484<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-Progression-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h3> Commas: 36/35, 56/55, 77/75<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.747<br /> <br /> Map: [<1 1 2 2 3|, <0 5 3 7 4|]<br /> EDOs: 8, 9, 17<br /> Badness: 0.0261<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-Progression-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h3> Commas: 26/25, 36/35, 56/55, 66/65<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.751<br /> <br /> Map: Map: [<1 1 2 2 3 3|, <0 5 3 7 4 6|]<br /> EDOs: 8, 9, 17<br /> Badness: 0.0182<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h3> --><h3 id="toc3"><a name="x-Progression-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h3> Commas: 26/25, 36/35, 51/50, 56/55, 66/65<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 141.404<br /> <br /> Map: [<1 1 2 2 3 3 4|, <0 5 3 7 4 6 1|]<br /> EDOs: 8, 9, 17<br /> Badness: 0.0167<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h3> --><h3 id="toc4"><a name="x-Progression-19-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->19-limit</h3> Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.479<br /> <br /> Map: [<1 1 2 2 3 3 4 4|, <0 5 3 7 4 6 1 2|]<br /> EDOs: 8, 9, 17, <a class="wiki_link" href="/94edo">94</a><br /> Badness: 0.0168<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x-Ripple"></a><!-- ws:end:WikiTextHeadingRule:10 -->Ripple</h2> Commas: 36/35, 2560/2401<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> <br /> Map: [<1 2 3 3|, <0 -5 -8 -2|]<br /> Wedgie: <<5 8 2 1 -11 -18||<br /> EDOs: <a class="wiki_link" href="/12edo">12</a><br /> Badness: 0.0597</body></html>