100/81: Difference between revisions

Interval information
Ratio	100/81
Factorization	22 × 3-4 × 52
Monzo	[2 -4 2⟩
Size in cents	364.8074 ¢
Name	(classical/diptolemaic) grave major third
Color name	yy3, yoyo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	12.9837
Weil norm (log2 max(n, d))	13.2877
Wilson norm (sopfr(nd))	26
	Open this interval in xen-calc

Revision as of 13:11, 31 August 2026

100/81, the (classical/diptolemaic) grave major third, is a syntonic comma (81/80) flat of 5/4, a marveltwin comma (325/324) sharp of 16/13, and merely a palingenetic comma (1701/1700) flat of the interval 21/17. It is obtained by stacking two small whole tones (10/9).

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = grave major third
+| Name = (classical/diptolemaic) grave major third
 | Color name = yy3, yoyo 3rd
 }}
-'''100/81''', the (classical) '''grave major third''', is a syntonic comma [[81/80]] flat of [[5/4]] and [[325/324]] sharp of [[16/13]], as well as being just [[1701/1700]] flat of the interval [[21/17]]. It is obtained by stacking two [[10/9]] small whole tones.
+'''100/81''', the (classical/diptolemaic) '''grave major third''', is a [[81/80|syntonic comma (81/80)]] flat of [[5/4]], a [[325/324|marveltwin comma (325/324)]] sharp of [[16/13]], and merely a [[1701/1700|palingenetic comma (1701/1700)]] flat of the interval [[21/17]]. It is obtained by stacking [[10/9|two small whole tones (10/9)]].
 [[Category:Third]]
 [[Category:Submajor third]]