256edo: Difference between revisions
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== Theory == | == Theory == | ||
{{Primes in edo|256|columns=15}} | {{Primes in edo|256|columns=15}} | ||
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 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. | ||
In the 2.7.13.19 subgroup in the patent val, 256edo tempers out 32851/32768, and [[support]]s the corresponding 20 & 73 & 256 rank 3 temperament. | 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 [[support]]s the corresponding 20 & 73 & 256 rank 3 temperament. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
Revision as of 23:27, 30 January 2022
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.