pitch_percentages_for_semitones_and_notes

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pitch_percentages_for_semitones_and_notes [2009/12/30 21:33] fenugrec added explanation & formula |
pitch_percentages_for_semitones_and_notes [2012/07/14 05:17] pegasus Updated table with calculated (instead of derived) values |
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^ Note name ^ Semitones ^ Pitch percentage ^ | ^ Note name ^ Semitones ^ Pitch percentage ^ | ||

| A | -12 = 1 octave | -50% | | | A | -12 = 1 octave | -50% | | ||

- | | Bb | -11 | -46.83% | | + | | Bb | -11 | -47.03% | |

- | | B | -10 | -43.70% | | + | | B | -10 | -43.88% | |

- | | C | -9 | -40.43% | | + | | C | -9 | -40.54% | |

- | | Db | -8 | -36.77% | | + | | Db | -8 | -37.00% | |

- | | D | -7 | -33.20% | | + | | D | -7 | -33.26% | |

- | | Eb | -6 | -29.05% | | + | | Eb | -6 | -29.29% | |

- | | E | -5 | -24.95% | | + | | E | -5 | -25.08% | |

- | | F | -4 | -20.41% | | + | | F | -4 | -20.63% | |

- | | Gb | -3 | -15.67% | | + | | Gb | -3 | -15.91% | |

- | | G | -2 | -10.58% | | + | | G | -2 | -10.91% | |

- | | Ab | -1 | -5.48% | | + | | Ab | -1 | -5.61% | |

^ A - 440Hz ^ 0 ^ 0.00% ^ | ^ A - 440Hz ^ 0 ^ 0.00% ^ | ||

- | | A# | 1 | +6% | | + | | A# | 1 | +5.95% | |

- | | B | 2 | +12% | | + | | B | 2 | +12.25% | |

- | | C | 3 | +18.1% | | + | | C | 3 | +18.92% | |

- | | C# | 4 | +26.3% | | + | | C# | 4 | +25.99% | |

- | | D | 5 | +33.8% | | + | | D | 5 | +33.48% | |

- | | D# | 6 | +41.6% | | + | | D# | 6 | +41.42% | |

- | | E | 7 | +50.6% | | + | | E | 7 | +49.83% | |

- | | F | 8 | +59% | | + | | F | 8 | +58.74% | |

- | | F# | 9 | +68.8% | | + | | F# | 9 | +68.18% | |

- | | G | 10 | +79.5% | | + | | G | 10 | +78.18% | |

- | | G# | 11 | +89.5% | | + | | G# | 11 | +88.77% | |

| A | 12 = 1 octave | +100% | | | A | 12 = 1 octave | +100% | | ||

- | There is some margin of error here as I derived this using an electric keyboard which had some vibrato, but it's close enough for DJing use. | + | This was calculated using the following information. Since an octave doubles (or halves) the frequency and there are 12 equal steps (semitones), we can find that the frequency is multiplied (or divided) by a certain factor: |

- | | + | |

- | Note: the exact values can be calculated fairly easily with a spreadsheet. Since an octave doubles (or halves) the frequency and there are 12 equal steps (semitones), we can find that the frequency is multiplied (or divided) by a certain factor | + | |

mfact = 12th root of 2 = 2^(1/12) = 1.0594631 | mfact = 12th root of 2 = 2^(1/12) = 1.0594631 |

pitch_percentages_for_semitones_and_notes.txt · Last modified: 2014/07/08 18:09 by ewanuno