507/506

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 507/506
Factorization 2-1 × 3 × 11-1 × 132 × 23-1
Monzo [-1 1 0 0 -1 2 0 0 -1
Size in cents 3.4180348¢
Name laodicisma
Color name 23u3oo1u1,
twethuthotholu 1sn,
Twethuthotholu comma
FJS name [math]\text{d2}^{13,13}_{11,23}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.9688
Weil height (log2 max(n, d)) 17.9717
Wilson height (sopfr(nd)) 65
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.30815 bits
Comma size unnoticeable
open this interval in xen-calc

507/506, the laodicisma is a 23-limit superparticular comma of about 3.42 cents. It is the amount by which a stack consisting of 13/11 and 26/23 exceeds 4/3. By tempering it out is defined the laodicismic temperament, which enables the laodicismic chords.

Etymology

The name laodicisma was named by Xenllium in 2023. It refers to 507 Laodica, the asteroid. Which was in turn named for a mythological Trojan lady.

See also