2024/2023: Difference between revisions

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Created page with "{{Infobox Interval | Name = insincere comma | Color name = 23o17uu1or-2, <br>twethosusuloru negative 2nd, <br>Twethosusuloru comma | Comma = yes }} '''2024/2023''', the '''ins..."
 
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{{Infobox Interval
{{Infobox Interval
| Name = insincere comma
| Name = artifisma
| Color name = 23o17uu1or-2, <br>twethosusuloru negative 2nd, <br>Twethosusuloru comma
| Color name = 23o17uu1or-2, <br>twethosusuloru negative 2nd, <br>Twethosusuloru comma
| Comma = yes
| Comma = yes
}}
}}
'''2024/2023''', the '''insincere comma''' 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]]. By tempering it out is defined the '''insincere temperament''', which enables the [[insincere chords]].
'''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]]. By tempering it out is defined the '''artifismic temperament''', which enables the [[insincere chords]].
 
== Etymology ==
The word ''insincere'' for this comma was introduced by [[User:Xenllium|Xenllium]] in 2023, for the following reasons - the size of this comma is almost a half of the fidesma, [[2025/2023]], whose name comes from Latin words ''fidēs'' (meaning "chord") and ''fīdēs'' (meaning "you will rely on"). It seems "insincere" to divide the fidesma in two rational intervals 2024/2023 and [[2025/2024]], almost equal sizes each other but slightly differ by 4096576/4096575 (～0.000423¢, sabitwethosulo-arugugu unison).


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

Revision as of 18:19, 8 May 2024

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. By tempering it out is defined the artifismic temperament, which enables the insincere chords.

See also

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