17/13: Difference between revisions

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| Sound = jid_17_13_pluck_adu_dr220.mp3

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In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.

It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).

It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).

== See also ==

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[[Category:Interseptimal intervals]]

[[Category:Naiadic]]

[[Category:Taxicab-2]]

[[Category:Taxicab-2 intervals]]

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 | Sound = jid_17_13_pluck_adu_dr220.mp3
 }}
 In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.
-It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).
+It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).
 == See also ==
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 [[Category:Interseptimal intervals]]
 [[Category:Naiadic]]
-[[Category:Taxicab-2]]
+[[Category:Taxicab-2 intervals]]