17/15: Difference between revisions
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In [[17-limit]] [[just intonation]], '''17/15''' is the | In [[17-limit]] [[just intonation]], '''17/15''' is the '''septendecimal whole tone''' measuring about 216.7¢. It is the [[mediant]] between [[9/8]] and [[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.). | √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 also == | == See also == | ||
* [[30/17]] its [[inverse interval]] | * [[30/17]] its [[inverse interval]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Interval | [[Category:Interval ratio]] | ||
[[Category:Just interval]] | [[Category:Just interval]] | ||
[[Category: | [[Category:Second]] | ||
[[Category:Listen]] | |||
[[Category:Whole tone]] | |||
Revision as of 22:01, 13 June 2020
| Interval information |
[sound info]
In 17-limit just intonation, 17/15 is the septendecimal whole tone measuring about 216.7¢. It is the mediant between 9/8 and 8/7, as it is (9+8)/(8+7). It is found in the 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.).