181edo: Difference between revisions
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m →Just approximation: prec is now by default 2 between 53 and 526 EDOs |
Sectioning, +links and -incorrect part (9/5 is inconsistent) |
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'''181edo''' is the [[EDO|equal division of the octave]] into 181 parts of 6.6298 cents each. | '''181edo''' is the [[EDO|equal division of the octave]] into 181 parts of 6.6298 cents each. | ||
== Theory == | |||
181et tempers out 2109375/2097152 ([[semicomma]]) and 32000000000/31381059609 in the 5-limit; [[2401/2400]], [[5120/5103]], and 390625/387072 in the 7-limit (supporting the [[hemififths]] and the [[cotritone]]). Using the patent val, it tempers out [[385/384]], 1375/1372, [[2200/2197]], and [[4000/3993]] in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1575/1573]] in the 13-limit. | |||
181edo is the 42nd [[prime EDO]]. | 181edo is the 42nd [[prime EDO]]. | ||
== | === Prime harmonics === | ||
{{Primes in edo|181|columns=8}} | {{Primes in edo|181|columns=8}} | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
Revision as of 10:09, 29 July 2021
181edo is the equal division of the octave into 181 parts of 6.6298 cents each.
Theory
181et tempers out 2109375/2097152 (semicomma) and 32000000000/31381059609 in the 5-limit; 2401/2400, 5120/5103, and 390625/387072 in the 7-limit (supporting the hemififths and the cotritone). Using the patent val, it tempers out 385/384, 1375/1372, 2200/2197, and 4000/3993 in the 11-limit; 325/324, 352/351, 847/845, and 1575/1573 in the 13-limit.
181edo is the 42nd prime EDO.
Prime harmonics
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