# 282edo

The *282 equal division* divides the octave into 282 equal parts of 4.255 cents each. It tempers out 16875/16807, 19683/19600 and 65625/65536 in the 7-limit, and 540/539 and 5632/5625 in the 11-limit, so that it provides the optimal patent val for jupiter temperament; it also tempers out 4000/3993 and 234375/234256, providing the optimal patent val for septisuperfourth temperament. In the 13-limit it tempers out 729/728, 1575/1573, 1716/1715 and 2080/2079. It is the smallest equal temperament uniquely consistent through to the 23 limit, and also the smallest consistent to the 29 limit. 282 has proper divisors 1, 2, 3, 6, 47, 94, and 141. It therefore divides the steps of 94et into three, but is not contorted beyond the 3-limit.