2513edo: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
m Categories |
||
| Line 1: | Line 1: | ||
The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any edo until we reach the cosmically excellent [[4296edo|4296edo]]. A basis for its 5-limit commas is senior, |-17 62 -35> and fortune, |-107 47 14>; it also tempers out pirate, |-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit. | The '''2513 division''' divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any edo until we reach the cosmically excellent [[4296edo|4296edo]]. A basis for its 5-limit commas is senior, |-17 62 -35> and fortune, |-107 47 14>; it also tempers out pirate, |-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit. | ||
{{Primes in edo|2513|prec=4}} | {{Primes in edo|2513|prec=4}} | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | |||
Revision as of 01:26, 4 July 2022
The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit relative error than any edo until we reach the cosmically excellent 4296edo. A basis for its 5-limit commas is senior, |-17 62 -35> and fortune, |-107 47 14>; it also tempers out pirate, |-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.
Script error: No such module "primes_in_edo".