300/299

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 300/299
Factorization 22 × 3 × 52 × 13-1 × 23-1
Monzo [2 1 2 0 0 -1 0 0 -1
Size in cents 5.7804196¢
Name major naiadvicema
Color name 23u3uyy-2,
twethuthuyoyo negative 2nd,
Twethuthuyoyo comma
FJS name [math]\text{A1}^{5,5}_{13,23}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 16.4528
Weil height (log2 max(n, d)) 16.4576
Wilson height (sopfr (nd)) 53
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.54169 bits
Comma size small
S-expression S24 × S25
open this interval in xen-calc

300/299, the major naiadvicema is a 23-limit superparticular comma measuring about 5.78 cents. It forms the difference between 13/10 (tridecimal semisixth) and 30/23 (vicesimotertial semisixth).

Etymology

The name major naiadvicema is contrast to the minor naiadvicema, 391/390, measuring about 4.43¢, which is the difference between 17/13 and 30/23. 300/299 is larger than 391/390 by a 23-limit unnoticeable comma, 9000/8993. The word naiadvicema was introduced by Xenllium in 2023. It is a contraction of naiadic vicesimotertial comma into a single word.

See also