Pythagorean tuning is based on a stack of intervals called perfect fifths, each tuned in the ratio 3:2
For instance, the A is tuned such that its frequency equals 3:2 times the frequency of D.
Similarly, the E above A is tuned such that its frequency equals 3:2 times the frequency of A, or 9:4 times the frequency of D
In the formulas, the ratios 3:2 or 2:3 represent an ascending or descending perfect fifth.
The major scale based on C, obtained from this tuning is:
| NOTE | C | D | E | F | G | A | B | C |
| RATIO | 1/1 | 9/8 | 81/64 | 4/3 | 3/2 | 27/16 | 243/128 | 2/1 |
Pythagorean Circle of Fifths
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Pythagorean Circle of Fifths
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