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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Name = wilsorma |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-14 19:40:16 UTC</tt>.<br>
| | | Color name = 3oy1, thoyo 1sn,<br>Thoyo comma |
| : The original revision id was <tt>254145458</tt>.<br>
| | | Comma = yes |
| : The revision comment was: <tt></tt><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>
| | In [[13-limit]] [[just intonation]], '''65/64''', the '''wilsorma''', is a [[superparticular]] interval of around 26.8{{cent}}, nearly a quarter of a semitone or eighth of a tone. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between [[5/4]] and [[16/13]]; [[8/5]] and [[13/8]]; [[13/12]] and [[16/15]]; [[15/8]] and [[24/13]], [[13/10]] and [[32/25]]; [[20/13]] and [[25/16]], and of course, infinitely many other pairs of just intervals. It differs from the septimal comma [[64/63]] by [[4096/4095]] and from the syntonic comma [[81/80]] by [[325/324]]. |
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| <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">In [[Just Intonation]], 65/64 is a [[superparticular]] interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between [[5_4|5/4]] and [[16_13|16/13]]; [[8_5|8/5]] and [[13_8|13/8]]; [[13_12|13/12]] and [[16_15|16/15]]; [[15_8||15/8]] and [[24_13|24/13]], [[13_10|13/10]] and [[32_25|32/25]]; [[20/13|20/13]] and [[25_16|25/16]], and of course, infinitely many other pairs of just intervals.
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| See: [[Gallery of Just Intervals|Galley of Just Intervals]]</pre></div>
| | Tempering it out turns 5/4 and 13/8 into [[octave complement]]s of one another. This is particularly useful in many [[13-limit]] [[magic family]] extensions, as it means they are very simply mapped to plus and minus one generator. |
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| <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>65_64</title></head><body>In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 65/64 is a <a class="wiki_link" href="/superparticular">superparticular</a> interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between <a class="wiki_link" href="/5_4">5/4</a> and <a class="wiki_link" href="/16_13">16/13</a>; <a class="wiki_link" href="/8_5">8/5</a> and <a class="wiki_link" href="/13_8">13/8</a>; <a class="wiki_link" href="/13_12">13/12</a> and <a class="wiki_link" href="/16_15">16/15</a>; <a class="wiki_link" href="/15_8">|15/8</a> and <a class="wiki_link" href="/24_13">24/13</a>, <a class="wiki_link" href="/13_10">13/10</a> and <a class="wiki_link" href="/32_25">32/25</a>; [[20/13|20/13]] and <a class="wiki_link" href="/25_16">25/16</a>, and of course, infinitely many other pairs of just intervals.<br />
| | This interval is the 13th-partial chroma (13-limit formal comma) in [[Ben Johnston's notation]], denoted simply with the number "13", while its reciprocal is denoted as "{{invert|13}}" (a turned "13"). If the base note is C, then [[13/8]] is represented by C–Ab13. |
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Galley of Just Intervals</a></body></html></pre></div>
| | Tempering it out leads to the rank-2 2.5.13 '''wilsormatic''' temperament, which has a generator tuned to abut 370-375 cents that represents both 5/4 and 16/13, or the rank-5 '''wilsormic''' temperament. |
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| | == See also == |
| | * [[Gallery of just intervals]] |
| | * [[64/63]] |
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| | [[Category:Commas with unknown etymology]] |
| | {{todo|research|comment=Is it named after Erv Wilson?}} |