149edo: Difference between revisions
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'''149edo''' is the [[equal division of the octave]] into 149 equal parts of 8.054 | '''149edo''' is the [[equal division of the octave]] into 149 equal parts of 8.054 [[cent]]s each. | ||
149edo is the 35th [[prime EDO]]. | == Theory == | ||
149edo is the smallest division which is uniquely [[consistent]] through the [[17-odd-limit]]. It provides the [[optimal patent val]] for 7- 11- 13- and 17-limit [[heinz]] temperament and the rank-3 temperament [[Gamelismic family #Ominous|ominous]] in the 13- and 17-limits. It has a general flat tendency, with the fifth 1.28 cents flat, but the major third is a quarter of a cent sharp. In the 5-limit it tempers out the sensipent comma, 78732/78125; in the 7-limit, 1029/1024, 3136/3125 and 19683/19600; in the 11-limit 385/384 and 441/440; in the 13-limit 351/350 and 676/675; in the 17-limit 273/272 and 561/560; in the 19-limit 286/285 and 343/342. | |||
149edo is the 35th [[prime EDO]]. | |||
=== Prime harmonics === | |||
{{Primes in edo|149}} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 14:10, 24 September 2021
149edo is the equal division of the octave into 149 equal parts of 8.054 cents each.
Theory
149edo is the smallest division which is uniquely consistent through the 17-odd-limit. It provides the optimal patent val for 7- 11- 13- and 17-limit heinz temperament and the rank-3 temperament ominous in the 13- and 17-limits. It has a general flat tendency, with the fifth 1.28 cents flat, but the major third is a quarter of a cent sharp. In the 5-limit it tempers out the sensipent comma, 78732/78125; in the 7-limit, 1029/1024, 3136/3125 and 19683/19600; in the 11-limit 385/384 and 441/440; in the 13-limit 351/350 and 676/675; in the 17-limit 273/272 and 561/560; in the 19-limit 286/285 and 343/342.
149edo is the 35th prime EDO.
Prime harmonics
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