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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 [2014/07/08 18:09]
ewanuno
Line 3: Line 3:
 ^ 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
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 etc.. etc..
 +
 +45rpm is 36.36% faster than 33rpm
 +
 +and
 +
 +33rpm is 26.7% slower that 45rpm
 +
pitch_percentages_for_semitones_and_notes.txt · Last modified: 2014/07/08 18:09 by ewanuno