24/17
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2011-12-07 01:59:32 UTC.
- The original revision id was 283162226.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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>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 /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>