1445/1444: Difference between revisions

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'''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]].  
'''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]].  


The term comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'', meaning golden, for its possible association with [[golden meantone]].  
The term comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'', meaning golden, for its possible association with [[golden meantone]].  


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


== See also ==
== See also ==
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Superparticular]]
[[Category:19-limit]]
[[Category:19-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Superparticular]]
[[Category:Aureusmic]]
[[Category:Aureusmic]]

Revision as of 09:38, 21 July 2021

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

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