1445/1444

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Interval information
Ratio 1445/1444
Factorization 2-2 × 5 × 172 × 19-2
Monzo [-2 0 1 0 0 0 2 -2
Size in cents 1.1985006¢
Name aureusma
Color name 19uu17ooy1, nunusosoyo unison
FJS name [math]\text{P1}^{5,17,17}_{19,19}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 20.9927
Weil height (log2 max(n, d)) 20.9937
Wilson height (sopfr (nd)) 81
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.21165 bits
Comma size unnoticeable
S-expression S17 / S19
open this interval in xen-calc

1445/1444, the aureusma, is a 19-limit (also 2.5.17.19 subgroup) 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.

Commatic relations

This comma is the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Temperaments

Tempering out this comma in the 19-limit leads to the rank-7 aureusmic temperament, or in the 2.5.17.19 subgroup, the rank-3 aureus temperament. In either case it results in 5/4 being split into two 19/17's, and enables the essentially tempered aureusmic chords.

Etymology

The aureusma was named by Flora Canou in 2021. It comes from Latin aureus ("golden"), for its possible association with golden meantone.

See also