17/16
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2014-06-30 21:37:24 UTC.
- The original revision id was 515319714.
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Original Wikitext content:
**17/16** |-4 0 0 0 0 0 1> 104.9554 cents [[media type="file" key="jid_17_16_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_16_pluck_adu_dr220.mp3|sound sample]] In [[17-limit]] [[Just Intonation]], 17/16 is the 17th overtone, octave reduced, and may be called the "large septendecimal semitone". Measuring about 105¢, it is close to the [[12edo]] semitone of 100¢, and thus 12edo can be said to approximate it closely. In a chord, it can function similarly to a jazz "minor ninth" -- for instance, 8:10:12:14:17 (although here the interval is 17/8, which is a little less harsh sounding than 17/16). In 17-limit JI, it is treated as the next basic consonance after 13 and 15. 17/16 is one of two [[superparticular]] semitones in the 17-limit; the other is [[18_17|18/17]], which measures about 99¢. The difference between them is 289/288, about 6¢. If 12edo is treated as a harmonic system approximating 9 and 17, then 289/288 is tempered out. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>17_16</title></head><body><strong>17/16</strong><br />
|-4 0 0 0 0 0 1><br />
104.9554 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>, 17/16 is the 17th overtone, octave reduced, and may be called the "large septendecimal semitone". Measuring about 105¢, it is close to the <a class="wiki_link" href="/12edo">12edo</a> semitone of 100¢, and thus 12edo can be said to approximate it closely. In a chord, it can function similarly to a jazz "minor ninth" -- for instance, 8:10:12:14:17 (although here the interval is 17/8, which is a little less harsh sounding than 17/16). In 17-limit JI, it is treated as the next basic consonance after 13 and 15.<br />
<br />
17/16 is one of two <a class="wiki_link" href="/superparticular">superparticular</a> semitones in the 17-limit; the other is <a class="wiki_link" href="/18_17">18/17</a>, which measures about 99¢. The difference between them is 289/288, about 6¢. If 12edo is treated as a harmonic system approximating 9 and 17, then 289/288 is tempered out.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>