Dipromethia

Interval information

Factorization	2-335 × 3122 × 561
Monzo	[-335 122 61⟩
Size in cents	3.646651¢
Names	dipromethia, diaschismic promethia
Color name	L26y61-28, thebila-siweyo negative 28th
FJS name	[math]-[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	670.003
Weil height (log2 max(n, d))	670.006
Wilson height (sopfr(nd))	1341
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.32239 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.