256edo: Difference between revisions
Jump to navigation
Jump to search
m Sort key |
m Infobox ET added |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | |||
The 256 equal division divides the [[octave]] into 256 equal parts of exactly 4.6875 [[cent]]s each. It is [[contorted]] in the 5-limit, and the error of harmonic 7 leads to inconsistency, which is likely one of the reasons this EDO attracts little interest. | The 256 equal division divides the [[octave]] into 256 equal parts of exactly 4.6875 [[cent]]s each. It is [[contorted]] in the 5-limit, and the error of harmonic 7 leads to inconsistency, which is likely one of the reasons this EDO attracts little interest. | ||
Revision as of 21:28, 4 October 2022
| ← 255edo | 256edo | 257edo → |
The 256 equal division divides the octave into 256 equal parts of exactly 4.6875 cents each. It is contorted in the 5-limit, and the error of harmonic 7 leads to inconsistency, which is likely one of the reasons this EDO attracts little interest.
Theory
Script error: No such module "primes_in_edo". 256edo is good at the 2.23.43.47 subgroup. If the error below 40% is considered "good", 256edo can be used to play no-fives 17 limit.
256edo can also be played using non-contorted harmonics, no matter how bad the approximation. Under such rule, 256edo supports the 2.7.13.19 subgroup. In the 2.7.13.19 subgroup in the patent val, 256edo tempers out 32851/32768, and supports the corresponding 20 & 73 & 256 rank 3 temperament.