Magic comma: Difference between revisions
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small correction - it's not unique that a small comma maps to 100¢ in 12-edo. |
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The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3. | The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3. | ||
In 12edo, instead of being tempered out, it's blown up to a whole semitone - five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps). | |||
== Temperaments == | == Temperaments == | ||