Pythagorean family: Difference between revisions
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The Pythagorean family tempers out the [[Pythagorean comma]], 531441/524288 = {{monzo| -19 12 }}, and hence the fifths form a closed 12-note circle of fifths, identical to [[12edo]]. While the tuning of the fifth will be that of 12et, two cents flat, the tuning of the larger primes is not so constrained, and the point of these temperaments is to improve on it. | The '''Pythagorean family''' tempers out the [[Pythagorean comma]], 531441/524288 = {{monzo| -19 12 }}, and hence the fifths form a closed 12-note circle of fifths, identical to [[12edo]]. While the tuning of the fifth will be that of 12et, two cents flat, the tuning of the larger primes is not so constrained, and the point of these temperaments is to improve on it. | ||
= Pythagorean = | = Pythagorean = | ||
: ''Not to be confused with [[Pythagorean tuning]].'' | |||
Comma list: 531441/524288 | Comma list: 531441/524288 | ||