2016edo

← 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.

Theory

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. It's abundancy index is 2.25.

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.