68edo: Difference between revisions

Line 7:

As a 7-limit system it tempers out [[2048/2025]], [[245/243]], 4000/3969, [[15625/15552]], [[3136/3125]], [[6144/6125]] and [[2401/2400]]. It [[support]]s [[octacot]], [[shrutar]], [[hemiwürschmidt]], [[hemikleismic]], [[clyde]] and [[neptune]] temperaments, and supplies the [[optimal patent val]] for 11-limit [[hemikleismic]]. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp.

The 3rd degree of 68edo can be used as a generator for [[23edo and octave stretching|stretched 23edo]], which also acts as the [[~~The Quartercache#Quartkeenlig|~~quartkeenlig]] temperament tempering out the quartisma, 385/384 and 6250/6237. It results in a 23edo scale with octaves stretched by 1 step of 68edo (octaves of 1217.65 cents). It also works as a [[22L 1s]] MOS of the quartkeenlig temperament.

The 3rd degree of 68edo can be used as a generator for [[23edo and octave stretching|stretched 23edo]], which also acts as the [[quartkeenlig]] temperament tempering out the quartisma, 385/384 and 6250/6237. It results in a 23edo scale with octaves stretched by 1 step of 68edo (octaves of 1217.65 cents). It also works as a [[22L 1s]] MOS of the quartkeenlig temperament.

=== Prime harmonics ===

@@ Line 7: / Line 7: @@
 As a 7-limit system it tempers out [[2048/2025]], [[245/243]], 4000/3969, [[15625/15552]], [[3136/3125]], [[6144/6125]] and [[2401/2400]]. It [[support]]s [[octacot]], [[shrutar]], [[hemiwürschmidt]], [[hemikleismic]], [[clyde]] and [[neptune]] temperaments, and supplies the [[optimal patent val]] for 11-limit [[hemikleismic]]. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp.
-The 3rd degree of 68edo can be used as a generator for [[23edo and octave stretching|stretched 23edo]], which also acts as the [[The Quartercache#Quartkeenlig|quartkeenlig]] temperament tempering out the quartisma, 385/384 and 6250/6237. It results in a 23edo scale with octaves stretched by 1 step of 68edo (octaves of 1217.65 cents). It also works as a [[22L 1s]] MOS of the quartkeenlig temperament.
+The 3rd degree of 68edo can be used as a generator for [[23edo and octave stretching|stretched 23edo]], which also acts as the [[quartkeenlig]] temperament tempering out the quartisma, 385/384 and 6250/6237. It results in a 23edo scale with octaves stretched by 1 step of 68edo (octaves of 1217.65 cents). It also works as a [[22L 1s]] MOS of the quartkeenlig temperament.
 === Prime harmonics ===