109edo: Difference between revisions
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'''109edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 109 parts of 11.009 [[cent|cent]]s each. It [[tempering_out|tempers out]] 20000/19683 in the [[5-limit|5-limit]]; 245/243, 2401/2400 and 65625/65536 in the [[7-limit|7-limit]]; 385/384, 1375/1372, and 4000/3993 in the [[11-limit|11-limit]]. It provides the [[Optimal_patent_val|optimal patent val]] for 7-limit [[Tetracot_family|octacot temperament]], and 11 and 13 limit [[Sensamagic_clan#Leapweek|leapweek]]; plus 109ef provides an excellent tuning for 11- and 13-limit octacot. | '''109edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 109 parts of 11.009 [[cent|cent]]s each. It [[tempering_out|tempers out]] 20000/19683 in the [[5-limit|5-limit]]; 245/243, 2401/2400 and 65625/65536 in the [[7-limit|7-limit]]; 385/384, 1375/1372, and 4000/3993 in the [[11-limit|11-limit]]. It provides the [[Optimal_patent_val|optimal patent val]] for 7-limit [[Tetracot_family|octacot temperament]], and 11 and 13 limit [[Sensamagic_clan#Leapweek|leapweek]]; plus 109ef provides an excellent tuning for 11- and 13-limit octacot. | ||
109edo is the 29th [[ | 109edo is the 29th [[prime EDO]]. | ||
[[Category: | |||
[[Category: | [[Category:Edo]] | ||
[[Category: | [[Category:Prime EDO]] | ||
[[Category:Theory]] | |||
Revision as of 10:22, 2 November 2018
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.