1445/1444
Ratio | 1445/1444 |
Factorization | 2^{-2} × 5 × 17^{2} × 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 (log_{2} nd) | 20.9927 |
Weil height (log_{2} 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:
- 2601/2600 and 3250/3249
- 1540/1539 and 23409/23408
- 1521/1520 and 28900/28899
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.