24/17
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2014-06-08 15:52:47 UTC.
- The original revision id was 513256572.
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Original Wikitext content:
**24/17** |3 1 0 0 0 0 -1> 596.9996 cents [[media type="file" key="jid_24_17_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_24_17_pluck_adu_dr220.mp3|sound sample]] In [[17-limit]] [[Just Intonation]], 24/17 is the "first septendecimal tritone," measuring very nearly 597¢. It is the [[mediant]] between [[7_5|7/5]] and [[17_12|17/12]], the "second septendecimal tritone." The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered [[EDO]] systems, including [[12edo]]. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. [[22edo]] is another good EDO system for using the half-octave in this way. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>24_17</title></head><body><strong>24/17</strong><br />
|3 1 0 0 0 0 -1><br />
596.9996 cents<br />
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<br />
In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 24/17 is the "first septendecimal tritone," measuring very nearly 597¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/17_12">17/12</a>, the "second septendecimal tritone." The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered <a class="wiki_link" href="/EDO">EDO</a> systems, including <a class="wiki_link" href="/12edo">12edo</a>. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. <a class="wiki_link" href="/22edo">22edo</a> is another good EDO system for using the half-octave in this way.<br />
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>