2024/2023

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	insincere comma
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 insincere comma 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 insincere temperament, which enables the insincere chords.

Etymology

The word insincere for this comma was introduced by 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

• Unnoticeable comma
• List of superparticular intervals