Rarity comma
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| 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{n\cdot d}[/math]) |
~4.58733 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".