2016edo: Difference between revisions

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{{Infobox ET
{{Infobox ET
| Prime factorization = 2<sup>5</sup> × 3<sup>2</sup> × 7
| Prime factorization = 2<sup>5</sup> × 3<sup>2</sup> × 7
| Step size = 85.714¢
| Step size = 0.59524¢
| Fifth = 1179\2016 (701.79¢) (&rarr;[[224edo|131\224]])
| Fifth = 1179\2016 (701.79¢) (&rarr;[[224edo|131\224]])
}}
}}

Revision as of 21:15, 23 January 2022

← 2015edo 2016edo 2017edo →
Prime factorization 25 × 32 × 7
Step size 0.595238 ¢ 
Fifth 1179\2016 (701.786 ¢) (→ 131\224)
Semitones (A1:m2) 189:153 (112.5 ¢ : 91.07 ¢)
Consistency limit 5
Distinct consistency limit 5

2016 equal division divides the octave into steps of 595 millicents, or 25/42 cent each.

2016 is a significantly composite number, with its divisors being 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008.

Theory

Script error: No such module "primes_in_edo". 2016 shares the mapping for 3 with 224edo, albeit with a 28 relative cent error. Using the 2016f val gives the same mapping for 13 as 224edo, and unleashes the full power of 224edo's 13 limit chords.