17/15
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2014-06-08 15:09:17 UTC.
- The original revision id was 513253790.
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Original Wikitext content:
**17/15** |0 -1 -1 0 0 0 1> 216.6867 cents [[media type="file" key="jid_17_15_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_15_pluck_adu_dr220.mp3|sound sample]] In [[17-limit]] [[Just Intonation]], 17/15 is the "septendecimal whole tone" measuring about 216.7¢. It is the [[mediant]] between [[9_8|9/8]] and [[8_7|8/7]], as it is (9+8)/(8+7). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 15th overtones. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo. √2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.). See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>17_15</title></head><body><strong>17/15</strong><br />
|0 -1 -1 0 0 0 1><br />
216.6867 cents<br />
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In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/15 is the "septendecimal whole tone" measuring about 216.7¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/9_8">9/8</a> and <a class="wiki_link" href="/8_7">8/7</a>, as it is (9+8)/(8+7). It is found in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 17th and 15th overtones. <a class="wiki_link" href="/11edo">11edo</a>'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.<br />
<br />
√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>