Detuning of equal temperament pitches to the
natural simple number ratios of the Harmonic Canon
| ratio on harmonic canon |
harmonic canon Hz |
approximate equal tempered pitch |
equal tempered Hz |
adjustment in cents |
|
1/2 4/7 3/5 5/8 2/3 5/7 3/4 4/5 5/6 6/7 7/8 1/1 8/7 7/6 6/5 5/4 4/3 7/5 3/2 8/5 5/3 7/4 1/1 |
128 146.3 153.6 160 170.66 182.9 192 204.8 213.33 219.4 224 256 292.6 298.66 307.2 320 341.33 358.4 384 409.6 426.66 448 512 |
C D Eb E F Gb G Ab A A Bb c d d eb e f f# g ab a bb c1 |
130.8 146.8 155.5 164.8 174.6 185 196 207.6 220 220 233.1 261.6 293.6 293.6 311.1 329.6 349.2 370 392 415.3 440 466.2 523.2 |
-38 -6 -22 -51 -40 -20 -36 -24 -53 -4 -69 -38 -6 +29 -22 -51 -40 -55 -36 -24 -53 -69 -38 |