2016edo
| ← 2015edo | 2016edo | 2017edo → |
2016 equal division divides the octave into steps of 595 millicents, or 25/42 cent each.
Theory
Script error: No such module "primes_in_edo". 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.
Regular temperament properties
| Subgroup | Comma list | Mapping | Optimal
8ve stretch (¢) |
Tuning error | |
|---|---|---|---|---|---|
| Absolute (¢) | Relative (%) | ||||
| 2.3 | [-355 224⟩ | [⟨2016 3195]] | +1.99 | 1.99 | 11.43 |
| 2.3.5 | 81/80, [-41 1 17⟩ | [⟨69 109 160]] | +1.86 | 1.64 | 9.40 |
| 2.3.5.7 | 81/80, 126/125, 4117715/3981312 | [⟨69 109 160 193]] (69d) | +2.49 | 1.79 | 10.28 |
| 2.3.5.7 | 81/80, 3125/3087, 6144/6125 | [⟨69 109 160 194]] (69) | +0.94 | 2.13 | 12.23 |