81/50: Difference between revisions

Interval information
Ratio	81/50
Factorization	2-1 × 34 × 5-2
Monzo	[-1 4 -2⟩
Size in cents	835.1926 ¢
Names	classical acute minor sixth,; diptolemaic minor sixth
FJS name	[math]\displaystyle{ \text{m6}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	11.9837
Weil norm (log2 max(n, d))	12.6797
Wilson norm (sopfr(nd))	24
	Open this interval in xen-calc

Revision as of 15:48, 1 September 2026

81/50, the classical acute minor sixth or diptolemaic minor sixth, is a syntonic comma sharp of 8/5, a marveltwin comma (325/324) flat of 13/8, and merely a palingenetic comma (1701/1700) sharp of the interval 34/21. It can be obtained by stacking two classic minor sevenths (9/5) and subtracting an octave, or subtracting two small whole tones (10/9) from an octave.

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-{{Infobox interval|Name=(classical/diptolemaic) acute minor sixth}}
+{{Infobox interval
+| Name = classical acute minor sixth, diptolemaic minor sixth
-'''81/50''', the (classical/diptolemaic) '''grave major third,''' is a [[81/80|syntonic comma]] sharp of [[8/5]], a [[325/324|marveltwin comma (325/324)]] flat of [[13/8]], and merely a [[1701/1700|palingenetic comma (1701/1700)]] sharp of the interval [[34/21]]. It can be obtained by stacking two [[9/5|classic minor sevenths (9/5)]] and subtracting an octave, or subtracting two [[10/9|small whole tones (10/9)]] from an octave.
+}}
+'''81/50''', the '''classical acute minor sixth''' or '''diptolemaic minor sixth''', is a [[81/80|syntonic comma]] sharp of [[8/5]], a [[325/324|marveltwin comma (325/324)]] flat of [[13/8]], and merely a [[1701/1700|palingenetic comma (1701/1700)]] sharp of the interval [[34/21]]. It can be obtained by stacking two [[9/5|classic minor sevenths (9/5)]] and subtracting an octave, or subtracting two [[10/9|small whole tones (10/9)]] from an octave.