17/15: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 17/15

| Monzo = 0 -1 -1 0 0 0 1

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}}

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.

In [[17-limit]] [[just intonation]], '''17/15''' is the '''septendecimal whole tone''' measuring about 216.7{{cent}}. 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 [[harmonic]]s. [[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 ==

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[[Category:17-limit]]

~~[[Category:Interval ratio]]~~

~~[[Category:Just interval]]~~

[[Category:Second]]

[[Category:Whole tone]]

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 {{Infobox Interval
-| Icon =
 | Ratio = 17/15
 | Monzo = 0 -1 -1 0 0 0 1
@@ Line 9: / Line 8: @@
 }}
-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.
+In [[17-limit]] [[just intonation]], '''17/15''' is the '''septendecimal whole tone''' measuring about 216.7{{cent}}. 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 [[harmonic]]s. [[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 ==
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 [[Category:17-limit]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
 [[Category:Second]]
 [[Category:Whole tone]]