Dipromethia
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Factorization | 2^{-335} × 3^{122} × 5^{61} |
Monzo | [-335 122 61⟩ |
Size in cents | 3.6466513¢ |
Names | dipromethia, diaschismic promethia |
Color name | L^{26}y^{61}-28, thebila-siweyo negative 28th |
FJS name | [math]-[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 670.003 |
Weil height (log_{2} 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.