17/12: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 17/12 | | Ratio = 17/12 | ||
| Monzo = -2 -1 0 0 0 0 1 | | Monzo = -2 -1 0 0 0 0 1 | ||
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In [[17-limit]] [[just intonation]], '''17/12''' is the | In [[17-limit]] [[just intonation]], '''17/12''' is the '''larger septendecimal tritone''', measuring very nearly 603¢. Its inversion is the smaller septendecimal tritone, [[24/17]], and the interval that separates them is the small [[comma]] [[289/288]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals. | ||
17/12 is the [[mediant]] between the two septimal tritones [[7/5]] and [[10/7]]. | 17/12 is the [[mediant]] between the two septimal tritones [[7/5]] and [[10/7]]. | ||
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[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Tritone]] | [[Category:Tritone]] | ||
[[Category:Pages with internal sound examples]] | [[Category:Pages with internal sound examples]] | ||
Revision as of 21:00, 12 December 2021
| Interval information |
[sound info]
In 17-limit just intonation, 17/12 is the larger septendecimal tritone, measuring very nearly 603¢. Its inversion is the smaller septendecimal tritone, 24/17, and the interval that separates them is the small comma 289/288, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered EDO system contains a close approximation to these intervals.
17/12 is the mediant between the two septimal tritones 7/5 and 10/7.