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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{interwiki |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | de = 10/7 |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-28 20:27:27 UTC</tt>.<br>
| | | en = 10/7 |
| : The original revision id was <tt>259413234</tt>.<br>
| | | es = |
| : The revision comment was: <tt></tt><br>
| | | ja = |
| 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>
| | {{Infobox Interval |
| <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 [[7-limit]] [[Just Intonation]], 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, [[7_5|7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5_4|5/4]]) appears above the harmonic seventh ([[7_4|7/4]]), such as 4:6:7:10. (This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7 -- but no 7/5.)
| | | Name = high tritone, greater septimal tritone, Euler's tritone |
| | | Color name = ry4, ruyo 4th |
| | | Sound = jid_10_7_pluck_adu_dr220.mp3 |
| | }} |
| | {{Wikipedia|Septimal tritone}} |
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| See: [[Gallery of Just Intervals]]</pre></div>
| | In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10 – This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5. It's well approximated by the Pythagorean augmented fourth [[729/512]], differing by [[5120/5103]]. |
| <h4>Original HTML content:</h4>
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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>10_7</title></head><body>In <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, <a class="wiki_link" href="/7_5">7/5</a>, but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third (<a class="wiki_link" href="/5_4">5/4</a>) appears above the harmonic seventh (<a class="wiki_link" href="/7_4">7/4</a>), such as 4:6:7:10. (This particular chord is well-approximated in <a class="wiki_link" href="/88cET">88cET</a>, which has a good approximation of 10/7 -- but no 7/5.)<br />
| | While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s|diatonic scale]] that demonstrates [[Rothenberg propriety]]. |
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| | == Approximation == |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | | {{Interval edo approximation|10/7}} |
| | == See also == |
| | * [[7/5]] – its [[octave complement]] |
| | * [[21/20]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
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| | [[Category:Tritone]] |
| | [[Category:Over-7 intervals]] |