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[[Tempering out]] the migmag comma equates a stack of four classic minor thirds with a stack of three classic major thirds. In terms of its [[monzo]] {{monzo| 10 4 -7 }}, this means imposing the relation: 2<sup>10</sup> · 3<sup>4</sup> = 5<sup>7</sup>. | [[Tempering out]] the migmag comma equates a stack of four classic minor thirds with a stack of three classic major thirds. In terms of its [[monzo]] {{monzo| 10 4 -7 }}, this means imposing the relation: 2<sup>10</sup> · 3<sup>4</sup> = 5<sup>7</sup>. | ||
Using octave-equivalent [[patent val]]s in the [[5-limit]], the primitive [[edo]] which tempers out the migmag comma is [[12edo]]. Its multiples [[24edo]] and [[36edo]] also temper it out, but do not give new primitive edo temperaments for this comma. | Using octave-equivalent [[patent val]]s in the [[5-limit]], the only primitive [[edo]] which tempers out the migmag comma is [[12edo]]. Its multiples [[24edo]] and [[36edo]] also temper it out, but do not give new primitive edo temperaments for this comma. | ||
In [[12edo]], [[6/5]] maps to 3 steps and [[5/4]] maps to 4 steps, so four minor thirds and three major thirds both map to 12 steps: 4 · 3 = 3 · 4. | In [[12edo]], [[6/5]] maps to 3 steps and [[5/4]] maps to 4 steps, so four minor thirds and three major thirds both map to 12 steps: 4 · 3 = 3 · 4. | ||