190edo

The 190 equal divisions of the octave (190edo) or 190(-tone) equal temperament (190tet, 190et) when view from a regular temperament perspective, divides the octave into 190 equal parts of size 6.316 cents each.

Theory

190edo is interesting because of the utility of its approximations; it tempers out 1029/1024, 4375/4374, 385/384, 441/440, 3025/3024 and 9801/9800. It provides the optimal patent val for both the 7- and 11-limit versions of unidec, the 72 & 118 temperament, which tempers out 1029/1024, 4375/4374, and in the 11-limit, 385/384 and 441/440. It also provides the optimal patent val for the rank-3 11-limit temperament portent, which tempers out 385/384 and 441/440, and gamelan, the rank-3 7-limit temperament which tempers out 1029/1024, as well as slendric, the 2.3.7 subgroup temperament featured in the #Music section. In the 13-limit, 190et tempers out 847/845, 625/624, 729/728, 1575/1573 and 1001/1000, and provides the optimal patent val for the ekadash temperament and the rank-3 portentous temperament.

Music

• The 11th Slendric Fanfare
• 16 Slendric Virgins by Chris Vaisvil