1445/1444: Difference between revisions

Interval information
Ratio	1445/1444
Factorization	2-2 × 5 × 172 × 19-2
Monzo	[-2 0 1 0 0 0 2 -2⟩
Size in cents	1.198501¢
Name	aureusma
FJS name	[math]\displaystyle{ \text{P1}^{5,17,17}_{19,19} }[/math]
Special properties	superparticular,; reduced
Tenney norm (log2 nd)	20.9927
Weil norm (log2 max(n, d))	20.9937
Wilson norm (sopfr(nd))	81
	Open this interval in xen-calc

Revision as of 07:03, 21 July 2021

1445/1444, the aureusma, is a 19-limit unnoticeable comma measuring about 1.20 cents. It is the difference between 5/4 and a stack of two 19/17's. It is also the difference between 153/152 and 171/170.

The term comes from Latin aureus, meaning golden, for its possible association with golden meantone.

Tempering out this comma results in 5/4 being split into two 19/17's, and enables the essentially tempered aureusmic chord.

@@ Line 4: / Line 4: @@
 | Monzo = -2 0 1 0 0 0 2 -2
 | Cents = 1.19850
-| Name =
+| Name = aureusma
 | Color name =
 | Sound =
 }}
-'''1445/1444''' is a [[19-limit]] unnoticeable comma splitting [[5/4]] into two [[19/17]]s. It is also the difference between [[153/152]] and [[171/170]].
+'''1445/1444''', the '''aureusma''', is a [[19-limit]] [[unnoticeable comma]] measuring about 1.20 [[cent]]s. It is the difference between [[5/4]] and a stack of two [[19/17]]'s. It is also the difference between [[153/152]] and [[171/170]].
+The term comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'', meaning golden, for its possible association with [[golden meantone]].
+== Temperaments ==
+Tempering out this comma results in 5/4 being split into two 19/17's, and enables the essentially tempered '''aureusmic chord'''.
+== See also ==
+* [[Unnoticeable comma]]
-[[Category:Stub]]
 [[Category:Superparticular]]
 [[Category:19-limit]]
 [[Category:Unnoticeable comma]]
+[[Category:Aureusmic]]