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Interval information
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.


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.