1445/1444

Revision as of 07:03, 21 July 2021 by FloraC (talk | contribs) (+name)

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.

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

The term comes from 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