Crawma: Difference between revisions
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== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 19-limit leads to the rank-7 '''crawmic temperament''', or in the 2.17/13.19/13 subgroup, the rank-2 '''crawic temperament''' generated by a tempered 17/13. | Tempering out this comma in the 19-limit leads to the rank-7 '''crawmic temperament''', or in the 2.17/13.19/13 subgroup, the rank-2 '''crawic temperament''' generated by a tempered 17/13. [[31edo]]'s 12\31 = 464.516¢ is the first generator to tune crawic accurately, with 17/13, 19/13 and 19/17 respectively having errors +0.088¢, +1.079¢, and +0.991¢. The [[CTE]] tuning of crawic temperament, 464.236¢, is extremely well-approximated by [[137edo|53\137]] = 464.234¢. | ||
== Terminology == | == Terminology == | ||
Revision as of 11:25, 30 May 2023
| Interval information |
Nuquadso-atrithu comma
Crawma, known as the crawma, is a 19-limit (more precisely, 2.17/13.19/13 subgroup) unnoticeable comma. It forms the difference between a stack of four 17/13's and a stack of one octave and one 19/13.
Temperaments
Tempering out this comma in the 19-limit leads to the rank-7 crawmic temperament, or in the 2.17/13.19/13 subgroup, the rank-2 crawic temperament generated by a tempered 17/13. 31edo's 12\31 = 464.516¢ is the first generator to tune crawic accurately, with 17/13, 19/13 and 19/17 respectively having errors +0.088¢, +1.079¢, and +0.991¢. The CTE tuning of crawic temperament, 464.236¢, is extremely well-approximated by 53\137 = 464.234¢.
Terminology
The name crawma was proposed by ground fault as a more distinctive-sounding crow-themed name for the comma than "cawma". The word craw has an archaic sense 'to caw, to croak, to crow'.