109edo: Difference between revisions
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'''109edo''' is the [[ | '''109edo''' is the [[equal division of the octave]] into 109 parts of 11.009 [[cent]]s each. It [[tempering out|tempers out]] 20000/19683 in the [[5-limit]]; [[245/243]], 2401/2400 and 65625/65536 in the [[7-limit]]; [[385/384]], 1375/1372, and 4000/3993 in the [[11-limit]]. It provides the [[optimal patent val]] for 7-limit [[octacot]] temperament, and 11 and 13 limit [[leapweek]]; plus 109ef provides an excellent tuning for 11- and 13-limit octacot. | ||
109edo is the 29th [[prime EDO]]. | 109edo is the 29th [[prime EDO]]. | ||
Revision as of 19:50, 9 June 2020
109edo is the equal division of the octave into 109 parts of 11.009 cents each. It tempers out 20000/19683 in the 5-limit; 245/243, 2401/2400 and 65625/65536 in the 7-limit; 385/384, 1375/1372, and 4000/3993 in the 11-limit. It provides the optimal patent val for 7-limit octacot temperament, and 11 and 13 limit leapweek; plus 109ef provides an excellent tuning for 11- and 13-limit octacot.
109edo is the 29th prime EDO.