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 norm (log2 nd)	106.68
Weil norm (log2 max(n, d))	106.68
Wilson norm (sopfr(nd))	239
Comma size	unnoticeable
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The revopentisma is an unnoticeable 7-limit (specifically 2.3.7-subgroup) comma associated with very high accuracy temperaments.

Temperaments

The revopentisma is the comma shared by 31edo and 135edo in the 2.3.7 subgroup and is notable as supported by many mega-edos. 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 latter is remarkable in its short generator chains for edos in the thousands, with 7/4 being just four generators away and 3/2 being just nineteen, with octave reduction. The revopent temperament adds mapping for 5 where it is reached in 287 generators.

Etymology

This comma was named by Eliora in 2023, and was derived from two of its supporting equal temperaments, 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.