56edt: Difference between revisions

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{{Infobox ET}}
The 56 equal division of 3, the tritave, divides it into 56 equal parts of 33.963 cents each, corresponding to 35.332 edo. It tempers out 245/243 in the 7-limit, 1331/1323 in the 11-limit and 275/273 in the 13-limit. It [[support]]s the 3.5.7.11.13 temperament with mapping [<1 5 0 1 10|, <0 -6 3 2 -13|]. 56edt is the twelfth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|no-twos zeta peak edt]].
The 56 equal division of 3, the tritave, divides it into 56 equal parts of 33.963 cents each, corresponding to 35.332 edo. It tempers out 245/243 in the 7-limit, 1331/1323 in the 11-limit and 275/273 in the 13-limit. It [[support]]s the 3.5.7.11.13 temperament with mapping [<1 5 0 1 10|, <0 -6 3 2 -13|]. 56edt is the twelfth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|no-twos zeta peak edt]].


[[Category:Edt]]
[[Category:Edt]]

Revision as of 20:01, 5 October 2022

← 55edt 56edt 57edt →
Prime factorization 23 × 7
Step size 33.9635 ¢ 
Octave 35\56edt (1188.72 ¢) (→ 5\8edt)
Consistency limit 3
Distinct consistency limit 3

The 56 equal division of 3, the tritave, divides it into 56 equal parts of 33.963 cents each, corresponding to 35.332 edo. It tempers out 245/243 in the 7-limit, 1331/1323 in the 11-limit and 275/273 in the 13-limit. It supports the 3.5.7.11.13 temperament with mapping [<1 5 0 1 10|, <0 -6 3 2 -13|]. 56edt is the twelfth no-twos zeta peak edt.