Dipromethia: Difference between revisions

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Created page with "{{Infobox Interval |Monzo = -335 122 61 |Name = dipromethia, diaschismic promethia |Comma = yes |FJS name = - }} '''Dipromethia''', or '''diaschismic promethia''', is a 5-limi..."
 
standardize temp names
 
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|Monzo = -335 122 61
|Monzo = -335 122 61
|Name = dipromethia, diaschismic promethia
|Name = dipromethia, diaschismic promethia
|Color name = L<sup>26</sup>y<sup>61</sup>-28, thebila-siweyo negative 28th
|Comma = yes
|Comma = yes
|FJS name = -
|FJS name = -
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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 '''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.
Tempering it out results in the '''dipromethian''' 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.
From a regular temperament perspective, it may be more natural to use the '''promethian''' temperament, splitting the generator fifth in two and described as 183 & 2684, due to its consistency in the 17-odd-limit.
 
[[Category:Commas with unknown etymology]]

Latest revision as of 04:22, 28 March 2026

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]\displaystyle{ - }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 670.003
Weil norm (log2 max(n, d)) 670.006
Wilson norm (sopfr(nd)) 1341
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 dipromethian 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 promethian temperament, splitting the generator fifth in two and described as 183 & 2684, due to its consistency in the 17-odd-limit.