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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 = tridecimal semifourth |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-07 19:31:43 UTC</tt>.<br>
| | | Color name = 3uy2, thuyo 2nd |
| : The original revision id was <tt>262738368</tt>.<br>
| | | Sound = jid_15_13_pluck_adu_dr220.mp3 |
| : 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>
| | In [[13-limit]] [[just intonation]], '''15/13''', the '''tridecimal semifourth''' is an interval measuring about 247.7¢, wherein two instances of this fall short of [[4/3]] by [[676/675]]. |
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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 [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large minor second [[8_7|8/7]] and the small minor third [[7_6|7/6]]. (15/13)*([[13_10|13/10]])=[[3_2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root.
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| See: [[Gallery of Just Intervals]], [[The Archipelago]]</pre></div>
| | In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes – namely the large major second [[8/7]] and the small minor third [[7/6]]. (15/13)×([[13/10]]) = [[3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 ''inframinor third'' up from the root. |
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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>15_13</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 15/13 is an interval measuring about 247.7¢. In the language of <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, 15/13 is an instance of an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large minor second <a class="wiki_link" href="/8_7">8/7</a> and the small minor third <a class="wiki_link" href="/7_6">7/6</a>. (15/13)*(<a class="wiki_link" href="/13_10">13/10</a>)=<a class="wiki_link" href="/3_2">3/2</a>, which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5</a> triad that goes 26:30:39, with a 15/13 &quot;inframinor third&quot; up from the root.<br />
| | When being used as type of second, it is given the name ''ultramajor second'' as it is even sharper than 8/7 which is often called a "supermajor second". In extended [[Pythagorean tuning]] it is extremely close to {{Monzo|43 -27}}. |
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/The%20Archipelago">The Archipelago</a></body></html></pre></div> | | == Approximation == |
| | {{Interval edo approximation|15/13}} |
| | == See also == |
| | * [[26/15]] – its [[octave complement]] |
| | * [[13/10]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
| | * [[The Archipelago]] |
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| | [[Category:Interseptimal intervals]] |
| | [[Category:Semifourth]] |
| | [[Category:Third]] |
| | [[Category:Subminor third]] |
| | [[Category:Second]] |
| | [[Category:Supermajor second]] |