63/40: Difference between revisions

Interval information
Ratio	63/40
Factorization	2-3 × 32 × 5-1 × 7
Monzo	[-3 2 -1 1⟩
Size in cents	786.4222 ¢
Name	aberschismic minor sixth
Color name	zg6, zogu 6th
FJS name	[math]\displaystyle{ \text{m6}^{7}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	11.2992
Weil norm (log2 max(n, d))	11.9546
Wilson norm (sopfr(nd))	24
	Open this interval in xen-calc

Latest revision as of 12:24, 24 September 2026

63/40, the aberschismic minor sixth, is a 7-limit interval which is flat of the Pythagorean minor sixth by an aberschisma (5120/5103). It is well approximated in several equal step tunings, most notably 99edo.

It is known less specifically as the narrow minor sixth in Scala.

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 {{Infobox Interval
-| Name = narrow minor sixth
+| Name = aberschismic minor sixth
 | Color name = zg6, zogu 6th
 }}
+'''63/40''', the '''aberschismic minor sixth''', is a [[7-limit]] interval which is flat of the [[128/81|Pythagorean minor sixth]] by an [[5120/5103|aberschisma (5120/5103)]]. It is well approximated in several equal step tunings, most notably [[99edo]].
-The '''septimal narrow minor sixth''' or '''hemifamity minor sixth''' (frequency ratio '''63/40''') is a 7-limit interval which is well approximated in several equal step tunings, most notably [[198edo]].
+== Terminology ==
+It is known less specifically as the ''narrow minor sixth'' in [https://www.huygens-fokker.org/docs/intervals.html Scala].
+== See also ==
+* [[80/63]] – its [[octave complement]]
+* [[40/21]] – its [[twelfth complement]]
+* [[Gallery of just intervals]]
+[[Category:Aberschismic]]
+[[Category:Sixth]]
+[[Category:Minor sixth]]