17/13: Difference between revisions

(14 intermediate revisions by 7 users not shown)

Line 1:

'''17/13'''

{{Infobox Interval

~~|0 0 0 0 0~~ -~~1 1>~~

| Name = septendecimal subfourth

| Color name = 17o3u4, sothu 4th

| 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.

464.~~4277 cents~~

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%).

[[~~File:jid_17_13_pluck_adu_dr220.mp3~~]] [[~~:File:jid_17_13_pluck_adu_dr220.mp3|sound sample~~]]

== See also ==

* [[26/17]] – its [[octave complement]]

* [[Gallery of just intervals]]

In [[~~17-limit|17-limit~~]] [[~~Just_intonation|Just Intonation~~]], 17/13 is the "septendecimal sub-fourth," measuring about 464.4¢. It is the [[mediant|mediant]] between [[13/10|13/10]] and [[4/3|4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[Interseptimal~~|interseptimal~~]]~~. It appears in the~~ [[~~OverToneSeries|harmonic series]] between the 13th and 17th harmonics.~~

[[Category:Fourth]]

[[Category:Subfourth]]

~~See~~: ~~[[Gallery_of_Just_Intervals|Gallery of Just Intervals~~]]

[[Category:Interseptimal intervals]]

[[Category:Naiadic]]

[[Category:~~Interseptimal~~]]

[[Category:Taxicab-2 intervals]]

@@ Line 1: / Line 1: @@
-'''17/13'''
+{{Infobox Interval
-|0 0 0 0 0 -1 1&gt;
+| Name = septendecimal subfourth
+| Color name = 17o3u4, sothu 4th
+| 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.
-.4277 cents
+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%).
-[[File:jid_17_13_pluck_adu_dr220.mp3]] [[:File:jid_17_13_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[26/17]] – its [[octave complement]]
+* [[Gallery of just intervals]]
-In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 17/13 is the "septendecimal sub-fourth," measuring about 464.4¢. It is the [[mediant|mediant]] between [[13/10|13/10]] and [[4/3|4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[Interseptimal|interseptimal]]. It appears in the [[OverToneSeries|harmonic series]] between the 13th and 17th harmonics.
+[[Category:Fourth]]
+[[Category:Subfourth]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
+[[Category:Interseptimal intervals]]
+[[Category:Naiadic]]
-[[Category:Interseptimal]]
+[[Category:Taxicab-2 intervals]]