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	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 height (log2 nd)	21.9653
Weil height (log2 max(n, d))	21.966
Wilson height (sopfr(nd))	81
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.20507 bits
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

• Unnoticeable comma
• List of superparticular intervals