2024/2023: Difference between revisions

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removed essentially tempered chord redlink for now (pretty sure every temperament has essentially tempered chords in at least some set of dyadic intervals)
Lériendil (talk | contribs)
m it's actually rather notable for essentially tempered chords to exist
 
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'''2024/2023''', the '''artifisma''' is a [[23-limit]] [[Superparticular ratio|superparticular comma]] of about 0.8556 [[cent]]s. It is the amount by which a stack consisting of [[14/11]] and [[17/16]] falls short of [[23/17]]. Tempering it out leads to the '''artifismic temperament.'''
'''2024/2023''', the '''artifisma''' is a [[23-limit]] [[Superparticular ratio|superparticular comma]] of about 0.8556 [[cent]]s. It is the amount by which a stack consisting of [[14/11]] and [[17/16]] falls short of [[23/17]]. Tempering it out defines the '''artifismic temperament''' in the full 23-limit, and the '''artific temperament''' in the 2.7.11.17.23 subgroup, and enables the [[artifismic chords]].


== See also ==
== See also ==

Latest revision as of 02:48, 14 April 2025

Interval information
Ratio 2024/2023
Factorization 23 × 7-1 × 11 × 17-2 × 23
Monzo [3 0 0 -1 1 0 -2 0 1
Size in cents 0.8555642¢
Name artifisma
Color name 23o17uu1or-2,
twethosusuloru negative 2nd,
Twethosusuloru comma
FJS name [math]\displaystyle{ \text{dd}{-3}^{11,23}_{7,17,17} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 21.9653
Weil norm (log2 max(n, d)) 21.966
Wilson norm (sopfr(nd)) 81
Comma size unnoticeable
Open this interval in xen-calc

2024/2023, the artifisma is a 23-limit superparticular comma of about 0.8556 cents. It is the amount by which a stack consisting of 14/11 and 17/16 falls short of 23/17. Tempering it out defines the artifismic temperament in the full 23-limit, and the artific temperament in the 2.7.11.17.23 subgroup, and enables the artifismic chords.

See also