1445/1444: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = aureusma
| Name = aureusma
| Comma = 1
| Comma = yes
}}
}}
'''1445/1444''', the '''aureusma''', is a [[19-limit]] (also 2.5.17.19 subgroup) [[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]].  
'''1445/1444''', the '''aureusma''', is a [[19-limit]] (also 2.5.17.19 subgroup) [[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]].  

Revision as of 18:14, 25 October 2022

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
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.

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 chords.

See also