From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 221/220
Factorization 2-2 × 5-1 × 11-1 × 13 × 17
Monzo [-2 0 -1 0 -1 1 1
Size in cents 7.851415¢
Name minor naiadma
Color name 17o3o1ug2, Sotholugu 2nd
Sotholugu comma
FJS name [math]\text{d2}^{13,17}_{5,11}[/math]
Special properties superparticular,
Tenney height (log2 nd) 15.5693
Weil height (log2 max(n, d)) 15.5758
Wilson height (sopfr (nd)) 50
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.75473 bits
Comma size small
open this interval in xen-calc

221/220, the minor naiadma, is a small 17-limit superparticular comma about 7.9 cents in size. It forms the difference between 13/10 (tridecimal semisixth) and 22/17 (small septendecimal semisixth). It is also the amount by which a stack consisting of 13/10 and 17/10 exceeds 11/5 (11/10 plus an octave). The name minor naiadma is contrast to the major naiadma, 170/169, measuring about 10.2¢, which is the difference between 13/10 and 17/13 (large septendecimal semisixth). They are so named because 13/10, 17/13 and 22/17 are naiadic interseptimal intervals, and 221/220 is smaller than 170/169 by a 13-limit unnoticeable comma, 2200/2197 (petrma).

Commatic relations

This comma identifies itself as the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

See also