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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 = small tridecimal third tone |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 20:46:55 UTC</tt>.<br>
| | | Color name = 3u1, thu unison |
| : The original revision id was <tt>515316552</tt>.<br>
| | | Sound = jid_27_26_pluck_adu_dr220.mp3 |
| : The revision comment was: <tt></tt><br>
| | | Comma = yes |
| 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>
| | In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth ([[27/16]]) and the [[Octave reduction|octave-reduced]] thirteenth [[harmonic]] ([[13/8]]). It measures about 65.3{{cent}}. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio [[676/675]], about 2.6{{cent}}, the island comma; tempering it out produces temperaments associated with [[The Archipelago]]. |
| <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">**27/26**
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| |-1 3 0 0 0 -1> | |
| 65.3373 cents
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| [[media type="file" key="jid_27_26_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_27_26_pluck_adu_dr220.mp3|sound sample]] | |
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| In [[13-limit]] [[Just Intonation]], 27/26 appears as the interval between the Pythagorean major sixth of [[27_16|27/16]] and the thirteenth harmonic -- [[13_8|13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone -- [[26_25|26/25]]. These intervals differ by the [[superparticular]] ratio 676/675, about 2.6¢. This is the island comma; tempering it out produces temperaments associated with [[The Archipelago]].
| | == Temperaments == |
| | 27/26 is tempered out in the patent vals for edos 2, 5, 7, 9, 14, 16, 21, 23, 28 & 35. |
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| See: [[Gallery of Just Intervals]], [[List of Superparticular Intervals]]</pre></div>
| | == Notation == |
| <h4>Original HTML content:</h4>
| | 27/26 is significant in [[Helmholtz-Ellis notation]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in the [[Functional Just System]], that role is taken by [[1053/1024]]. |
| <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>27_26</title></head><body><strong>27/26</strong><br />
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| |-1 3 0 0 0 -1&gt;<br /> | | === Sagittal notation === |
| 65.3373 cents<br />
| | In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | (!/ }} and is called the '''13 large diesis''', or '''13L''' for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in C-A{{nbhsp}}{{sagittal | (!/ }}. The primary role of {{ sagittal | (!/ }} is [[8505/8192#Sagittal notation | 8192/8505]] (35L down). The upward version is called '''1/13L''' or '''13L up''' and is represented (in a secondary role) by {{sagittal| (|\ }}. |
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| | == See also == |
| In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 27/26 appears as the interval between the Pythagorean major sixth of <a class="wiki_link" href="/27_16">27/16</a> and the thirteenth harmonic -- <a class="wiki_link" href="/13_8">13/8</a>. It measures about 65.3¢. It is close in size to another 13-limit microtone -- <a class="wiki_link" href="/26_25">26/25</a>. These intervals differ by the <a class="wiki_link" href="/superparticular">superparticular</a> ratio 676/675, about 2.6¢. This is the island comma; tempering it out produces temperaments associated with <a class="wiki_link" href="/The%20Archipelago">The Archipelago</a>.<br />
| | * [[52/27]] – its [[octave complement]] |
| <br />
| | * [[13/9]] – its [[fifth complement]] |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/List%20of%20Superparticular%20Intervals">List of Superparticular Intervals</a></body></html></pre></div>
| | * [[26/25]] - the large tridecimal third tone |
| | * [[Gallery of just intervals]] |
| | * [[List of superparticular intervals]] |
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| | [[Category:Chroma]] |
| | [[Category:Third tone]] |
| | [[Category:Commas named after their interval size]] |