Revopentisma

Interval information

Factorization	247 × 34 × 7-19
Monzo	[47 4 0 -19⟩
Size in cents	0.1277805¢
Name	revopentisma
Color name	ssr19-8, sasa-neru negative octave
FJS name	[math]\displaystyle{ \text{6d}{-8}_{7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	106.68
Weil height (log2 max(n, d))	106.68
Wilson height (sopfr(nd))	239
Comma size	unnoticeable
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Revopentisma is a 7-limit (and also 2.3.7 subgroup) unnoticeable comma associated with very high accuracy temperaments.

Theory

Revopentisma arises out of temperament-merging 1848edo and 3125edo in the 7-limit, as both of these edos are very precise in that limit. The associated temperament is named revopent, and it's remarkable in its short generator chains for edos in the thousands, with 7/4 being just four generators down and 3/2 being just nineteen, with octave reduction. Tempering it out in the full 7-limit produces rank-3 revopentismic temperament, as well as the 2.3.7 rank-2 revopentic temperament. The rank-2 revopent temperament adds mapping for 5 where it is reached in 287 generators.

Etymology

Comma's name is derived from two edos in the temperament-merging, number 1848 being associated with a year with a large number of revolutions in Europe, and 3125 being equal to 5 to the power of 5, hence pent- meaning five.