149edo: Difference between revisions
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'''149edo''' is the [[equal division of the octave]] into 149 equal parts of 8.054 cents each. It is the smallest division which is uniquely [[consistent]] through the 17-limit. It provides the [[Optimal_patent_val|optimal patent val]] for 7- 11- 13- and 17-limit [[Sensipent_family|heinz temperament]] and the rank three temperament [[Gamelismic_family|ominous]] in the 13- and 17- limits. It has a generally 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]]. | 149edo is the 35th [[prime EDO]]. | ||
Revision as of 05:42, 19 January 2021
149edo is the equal division of the octave into 149 equal parts of 8.054 cents each. It is the smallest division which is uniquely consistent through the 17-limit. It provides the optimal patent val for 7- 11- 13- and 17-limit heinz temperament and the rank three temperament ominous in the 13- and 17- limits. It has a generally 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.