Rarity comma
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Factorization | 2^{-57} × 3^{17} × 5^{13} |
Monzo | [-57 17 13⟩ |
Size in cents | 155.31329¢ |
Name | rarity comma |
Color name | L^{4}y^{13}-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 (log_{2} nd) | 114.129 |
Weil height (log_{2} 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".