149edo: Difference between revisions
Jump to navigation
Jump to search
The smallest edo uniquely consistent in the 17-limit was previously wrongly attributed to 147edo |
m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
||
| Line 3: | Line 3: | ||
149edo is the 35th [[prime EDO]]. | 149edo is the 35th [[prime EDO]]. | ||
[[Category: | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 23:13, 4 December 2020
The 149 equal division divides 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.