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Thread: Semitones and Cents----FL Studio

  1. #1
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    Semitones and Cents----FL Studio

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    What are the differences, i know semi-tones are larger but by what ratio to cents?

  2. #2
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    a cent is 100th of semitone, so there are 1200 cents in an octave.

    The cent as a ratio to the semitone is something like (12√2)/100, which is something like 0.01059 of the frequency.

    Shift the pitch up by 3 cents you are going to do the following (assume Concert A = 440 Hz)

    440 Hz + (440 Hz x 0.01059) + (440 Hz x 0.01059) + (440 Hz x 0.01059)

    440.00000 Hz x
    000.01059
    ==========
    004.66164 Hz
    ==========

    so we get

    440.00000 Hz +
    004.66164 Hz +
    004.66164 Hz +
    004.66164 Hz
    ===========
    453.98492 Hz
    ===========

    If were to Work with C = 256 Hz (a rough approximation so that the numbers will work quickly), the arithmetic this time would be

    256 Hz + (256 Hz x 0.01059) + (256 Hz x 0.01059) + (256 Hz x 0.01059)

    256.00000 Hz x
    000.01059
    ==========
    002.71223 Hz
    ==========

    so we get

    256.00000 Hz +
    002.71223 Hz +
    002.71223 Hz +
    002.71223 Hz
    ===========
    263.13669 Hz
    ===========

    If were to work with E = 1319 Hz (a rough approximation so that the numbers will work quickly), the arithmetic this time would be

    1319 Hz + (1319 Hz x 0.01059) + (1319 Hz x 0.01059) + (1319 Hz x 0.01059)

    1319.00000 Hz x
    0000.01059
    ==========
    0013.97432 Hz
    ==========

    so we get

    1319.00000 Hz +
    0013.97432 Hz +
    0013.97432 Hz +
    0013.97432 Hz
    ===========
    1360.92296 Hz
    ===========

    This should demonstrate that the ratio of cents to a semitone does not equate to a fixed frequency, but rather to a sliding freq depending on the initial freq.
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