Junebug comma
Jump to navigation
Jump to search
| Ratio | 448630/447051 |
| Factorization | 2 × 3-1 × 5 × 7 × 11-1 × 13 × 17 × 19-1 × 23-1 × 29 × 31-1 |
| Monzo | [1 -1 1 1 -1 1 1 -1 -1 1 -1⟩ |
| Size in cents | 6.1040067¢ |
| Name | junebug comma |
| Color name | 31u29o23u19u17o3o1uzy2, thiwutwenotwethunusotholuzoyo 2nd |
| FJS name | [math]\text{dd3}^{5,7,13,17,29}_{11,19,23,31}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 37.5452 |
| Weil height (log2 max(n, d)) | 37.5503 |
| Wilson height (sopfr (nd)) | 160 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.54077 bits |
| Comma size | small |
| open this interval in xen-calc | |
448630/447051, the junebug comma, is a 31-limit PIFE comma measuring about 6.1 cents. However, this comma is particularly special because it contains only one instance of each of its prime factors, meaning the elements of its monzo are only -1s and 1s, a property it shares with 715/714. Tempering it out yields a 31-limit rank-10 temperament. The name of this comma was proposed by Tristan Bay in 2023, after his sister's cat, Junebug.