Rarity comma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Factorization 2-57 × 317 × 513
Monzo [-57 17 13
Size in cents 155.31329¢
Name rarity comma
Color name L4y13-5, quadla-theyo negative 5th
FJS name [math]\text{10d}{-5}^{5,5,5,5,5,5,5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 114.129
Weil height (log2 max(n, d)) 114.259
Wilson height (sopfr (nd)) 230
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.23584 bits
Comma size large
open this interval in xen-calc

Rarity comma is a 5-limit interval, which when tempered out produces the rarity temperament.

Temperaments

Tempering it out produces rarity temperament in the 5-limit. On it's own it is quite a large interval, being the size of a neutral second, however each individual generator step of the temperament is flattened by a small amount which is evenly spread out in the scale.

Etymology

Rarity comma was named by Eliora as a pronounceable shortening of "radian-thirteen", taken from comma's monzo. A radian is 57 degrees and 17 arcminutes, and the final number is 13, and thus "radian-thirteen" was collapsed to "rarity".