Dipromethia: Difference between revisions
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+etymology, thought this was obvious or already noted. |
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'''Dipromethia''', or '''diaschismic promethia''', is a 5-limit comma that is the difference between 61 [[2048/2025]]'s and the octave. | '''Dipromethia''', or '''diaschismic promethia''', is a 5-limit comma that is the difference between 61 [[2048/2025]]'s and the octave. | ||
== Temperaments == | == Temperaments == | ||
Tempering it out results in the ''' | 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 ''' | 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. | ||
[[Category:Commas | == Etymology == | ||
The comma is named after the 61st chemical element, promethium, with the prefix ''di-'' serving both as a generator doubling and a contraction of ''di-'' from ''diaschismic''. | |||
[[Category:Commas named after elements]] | |||
Latest revision as of 01:01, 16 August 2026
| Interval information |
diaschismic promethia
reduced harmonic
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.
Etymology
The comma is named after the 61st chemical element, promethium, with the prefix di- serving both as a generator doubling and a contraction of di- from diaschismic.