17/10: Difference between revisions

Interval information
Ratio	17/10
Factorization	2-1 × 5-1 × 17
Monzo	[-1 0 -1 0 0 0 1⟩
Size in cents	918.6417¢
Name	septendecimal major sixth
FJS name	[math]\displaystyle{ \text{d7}^{17}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.40939
Weil norm (log2 max(n, d))	8.17493
Wilson norm (sopfr(nd))	24
	https://en.xen.wiki/w/File:Jid_17_10_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Revision as of 20:47, 18 October 2018

In 17-limit Just Intonation, 17/10 is the "septendecimal major sixth," measuring about 918.6¢. It is the mediant between 5/3 and 12/7. Its octave complement is 20/17, the "septendecimal minor third".

@@ Line 1: / Line 1: @@
-'''17/10'''
+{{Infobox Interval
-|-1 0 -1 0 0 0 1&gt;
+| Icon =
+| Ratio = 17/10
+| Monzo = -1 0 -1 0 0 0 1
+| Cents = 918.6417
+| Name = septendecimal major sixth
+| Sound = jid_17_10_pluck_adu_dr220.mp3
+| Color name =
+}}
-.6417 [[cent|cents]]
+In [[17-limit]] [[Just Intonation]], 17/10 is the "septendecimal major sixth," measuring about 918.6¢. It is the [[mediant]] between [[5/3]] and [[12/7]]. Its [[octave complement]] is [[20/17]], the "septendecimal minor third".
-[[File:jid_17_10_pluck_adu_dr220.mp3]] [[:File:jid_17_10_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[4edo|3\4]] or [[12edo|9\12]] (900 cents)
-In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 17/10 is the "septendecimal major sixth," measuring about 918.6¢. It is the [[mediant|mediant]] between [[5/3|5/3]] and [[12/7|12/7]]. Its inversion is [[20/17|20/17]], the "septendecimal minor third".
+* [[13edo|10\13]] (923.08 cents)
+* [[17edo|13\17]] (917.65 cents)
-See:
+* [[Gallery of Just Intervals]]
-*[[4edo|3\4]] ([[12edo|9\12]]) (900 cents)
-*[[13edo|10\13]] (923.08 cents)
-*[[17edo|13\17]] (917.65 cents)
-*[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
+[[Category:17-limit]]
+[[Category:Interval]]
 [[Category:just_interval]]
 [[Category:major_sixth]]
 [[Category:septendecimal]]