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
Color name	17og7, sogu 7th
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 21:59, 13 June 2020

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".

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-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".
+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".
 == See also ==
 * [[4edo|3\4]] or [[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:Interval ratio]]
 [[Category:Just interval]]
 [[Category:Major sixth]]
 [[Category:Sixth]]
-[[Category:Septendecimal]]