17/13: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

~~| Ratio = 17/13~~

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

~~| Cents = 464.42775~~

| Name = septendecimal subfourth

| Color name =

| Color name = 17o3u4, sothu 4th

~~| FJS name = P4<sup>17</sup><sub>13</sub>~~

| 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.

In [[17-limit]] [[Just Intonation]], '''17/13''' is the '''septendecimal sub-fourth''', 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 0.1 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%).

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%).

== See also ==

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* [[Gallery of just intervals]]

~~[[Category:17-limit]]~~

~~[[Category:Interval]]~~

[[Category:Fourth]]

[[Category:Subfourth]]

[[Category:Interseptimal]]

[[Category:Interseptimal intervals]]

[[Category:Naiadic]]

[[Category:Taxicab-2 intervals]]

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 {{Infobox Interval
-| Icon =
-| Ratio = 17/13
-| Monzo = 0 0 0 0 0 -1 1
-| Cents = 464.42775
 | Name = septendecimal subfourth
-| Color name =
+| Color name = 17o3u4, sothu 4th
-| FJS name = P4<sup>17</sup><sub>13</sub>
 | 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.
-In [[17-limit]] [[Just Intonation]], '''17/13''' is the '''septendecimal sub-fourth''', 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 0.1 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%).
-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%).
 == See also ==
@@ Line 18: / Line 12: @@
 * [[Gallery of just intervals]]
-[[Category:17-limit]]
-[[Category:Interval]]
 [[Category:Fourth]]
 [[Category:Subfourth]]
-[[Category:Interseptimal]]
+[[Category:Interseptimal intervals]]
 [[Category:Naiadic]]
+[[Category:Taxicab-2 intervals]]