Dipromethia
Jump to navigation
Jump to search
| Factorization | 2-335 × 3122 × 561 |
| Monzo | [-335 122 61⟩ |
| Size in cents | 3.6466513¢ |
| Names | dipromethia, diaschismic promethia |
| Color name | L26y61-28, thebila-siweyo negative 28th |
| FJS name | [math]-[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 670.003 |
| Weil height (log2 max(n, d)) | 670.006 |
| Wilson height (sopfr (nd)) | 1341 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.45531 bits |
| Comma size | small |
| open this interval in xen-calc | |
Dipromethia, or diaschismic promethia, is a 5-limit comma that is the difference between 61 2048/2025's and the octave.
Temperaments
Tempering it out results in the dipromethium temperament, which sets 61 2048/2025s equal to the octave. Furthermore, since it is the difference between 45/32 and 64/45 tritones, tempering this comma out sets them to 30\61 and 31\61 respectively.
From a regular temperament perspective, it may be more natural to use the promethium temperament, splitting the generator fifth in two and described as 183 & 2684, due to its consistency in the 17-odd-limit.