Revopentisma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
|Monzo = 47 4 0 -19
| Monzo = 47 4 0 -19
|Name = revopentisma
| Name = revopentisma
|Color name = ssr<sup>19</sup>-8, sasa-neru negative octave
| Color name = ssr<sup>19</sup>-8, sasa-neru negative octave
|Comma = yes
| Comma = yes
}}
}}
Revopentisma is a 7-limit (and also 2.3.7 subgroup) unnoticeable comma associated with very high accuracy temperaments.
The '''revopentisma''' is an [[unnoticeable comma|unnoticeable]] [[7-limit]] (specifically [[2.3.7 subgroup|2.3.7-subgroup]]) [[comma]] associated with [[very high accuracy temperaments]].
== Theory ==
 
Revopentisma is the comma shared by [[31edo]] and [[270edo]] in the [[2.3.7 subgroup]] and is notable as supported by many [[mega-edo]]s. The [[Very high accuracy temperaments#Revopentic (2.3.7)|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.
== Temperaments ==
The revopentisma is the comma shared by [[31edo]] and [[135edo]] in the [[2.3.7 subgroup]] and is notable as [[support]]ed by many [[mega-edo]]s. 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 ==
== 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.
This comma was named by [[Eliora]] in 2023, and was derived from two of its supporting [[equal temperament]]s, 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.
 
[[Category:Commas named for other reasons]]

Latest revision as of 15:38, 17 January 2026

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
Open this interval in xen-calc

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.