Crawma: Difference between revisions
Created page with "{{Infobox Interval | Name = crawma | Color name = 19u17o<sup>4</sup>3u<sup>3</sup>2, nuquadso-atrithu 2nd,<br>Nuquadso-atrithu comma | Comma = yes }} '''{{PAGENAME}}''', known..." |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 83521/83486 | |||
| Name = crawma | | Name = crawma | ||
| Color name = 19u17o<sup>4</sup>3u<sup>3</sup>2, nuquadso-atrithu 2nd,<br>Nuquadso-atrithu comma | | Color name = 19u17o<sup>4</sup>3u<sup>3</sup>2, nuquadso-atrithu 2nd,<br>Nuquadso-atrithu comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
''' | '''83521/83486''', 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 == | == 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]] generator of crawic temperament, 464.236¢, is extremely well-approximated by [[137edo|53\137]] = 464.234¢. | ||
== Terminology == | == Terminology == | ||
The name ''crawma'' was proposed by [[User: | The name ''crawma'' was proposed by [[User:ks26|groundfault]] 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'. | ||
== See also == | == See also == | ||
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[[Category:Crawmic]] | [[Category:Crawmic]] | ||
[[Category:Commas with unknown etymology]]{{todo|add etymology|comment=explain why groundfault wanted to name this temperament after crows, what does it have to do with crows?}} | |||
Latest revision as of 02:21, 16 November 2024
| Interval information |
Nuquadso-atrithu comma
83521/83486, 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 generator of crawic temperament, 464.236¢, is extremely well-approximated by 53\137 = 464.234¢.
Terminology
The name crawma was proposed by groundfault 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'.