21ed5/2: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''21ed5/2''' is the equal division of the [[5/2]] interval into 21 parts of approximately 75.539 [[cent]]s each. It roughly corresponds to [[16edo]].
== Theory ==
From a no-threes point of view, 21ed5/2 tempers out [[50/49]] in the 7-limit (being a jubilic system similar to [[13ed5/2]]), [[625/616]] and [[176/175]] in the 11-limit, and 143/140,  715/686 and [[847/845]] in the 13-limit.

Revision as of 01:10, 12 July 2023

← 20ed5/2 21ed5/2 22ed5/2 →
Prime factorization 3 × 7
Step size 75.5387 ¢ 
Octave 16\21ed5/2 (1208.62 ¢)
(semiconvergent)
Twelfth 25\21ed5/2 (1888.47 ¢)
(semiconvergent)
Consistency limit 6
Distinct consistency limit 6

21ed5/2 is the equal division of the 5/2 interval into 21 parts of approximately 75.539 cents each. It roughly corresponds to 16edo.

Theory

From a no-threes point of view, 21ed5/2 tempers out 50/49 in the 7-limit (being a jubilic system similar to 13ed5/2), 625/616 and 176/175 in the 11-limit, and 143/140, 715/686 and 847/845 in the 13-limit.