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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 = Pythagorean minor third |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 13:06:35 UTC</tt>.<br>
| | | Color name = w3, wa 3rd |
| : The original revision id was <tt>300946844</tt>.<br>
| | | Sound = jid_32_27_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>
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| <h4>Original Wikitext content:</h4>
| | The '''Pythagorean minor third''' of '''32/27''' is the interval between [[9/8]] and [[4/3]] which arises naturally in [[3-limit]] [[just intonation]]. Compared to the more typical [[6/5]]- with which it is conflated in [[meantone]]- this interval is more dissonant, with a [[harmonic entropy]] level roughly on par with that of 9/8. |
| <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">The Pythagorean minor third of 32/27 is the interval between [[9_8|9/8]] and [[4_3|4/3]] which arises naturally in 3-limit just intonation. It is 352/351 sharp of [[13_11|13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic chords]].</pre></div>
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| <h4>Original HTML content:</h4>
| | It is 352/351 sharp of [[13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic chords]]. |
| <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>32_27</title></head><body>The Pythagorean minor third of 32/27 is the interval between <a class="wiki_link" href="/9_8">9/8</a> and <a class="wiki_link" href="/4_3">4/3</a> which arises naturally in 3-limit just intonation. It is 352/351 sharp of <a class="wiki_link" href="/13_11">13/11</a>, and tempering 352/351 out equates it with 13/11 and leads to <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>.</body></html></pre></div>
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| | == Temperaments == |
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| | 32/27 is treated as a comma in edos 3 & 6, where the best approximation of a perfect 5th is the 800 cent interval that wraps around to the octave again after only three iterations, producing [[alteraugment]]. Temperaments it can be interpreted as if used as a generator include [[Kleismic_family#Kleiboh|Kleiboh]] or [[Gariberttet]]. |
| | == Approximation == |
| | {{Interval edo approximation|32/27}} |
| | == See also == |
| | * [[27/16]] – its [[octave complement]] |
| | * [[81/64]] – its [[fifth complement]] |
| | * [[9/8]] – its [[fourth complement]] |
| | * [[Gallery of just intervals]] |
| | * [[Pythagorean tuning]] |
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| | [[Category:Third]] |
| | [[Category:Minor third]] |