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Math Help - Logarithms, octaves and semitones

  1. #1
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    Logarithms, octaves and semitones

    An orchestra tunes to a frequency of 440, which sounds the A above middle C. Each octave higher doubles the frequency, and each of the 12 semitones in the octave increases the frequency in the same ratio.

    a)What is the ratio? 880= 440 x b^12, b= 1.059

    b)Find the frequency of middle C. I can't work this out. The answer is supposedly 262 but I can't get this.

    c) Where on the scale is a note with a frequency of 600?

    I cant get the answer to this either which the book says is "between D and D#".
    Thanks for any help you can provide.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by woollybull View Post
    An orchestra tunes to a frequency of 440, which sounds the A above middle C. Each octave higher doubles the frequency, and each of the 12 semitones in the octave increases the frequency in the same ratio.

    a)What is the ratio? 880= 440 x b^12, b= 1.059

    b)Find the frequency of middle C. I can't work this out. The answer is supposedly 262 but I can't get this.

    c) Where on the scale is a note with a frequency of 600?

    I cant get the answer to this either which the book says is "between D and D#".
    Thanks for any help you can provide.
    See if this helps: Frequency of Middle C

    Be sure to read the editor's supplement in regards to the error presented by someone else and the correction of that error.
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  3. #3
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    Further assistance required

    Thanks for trying to help but I still can't work out what the middle A above middle C means.
    This is the only text question on the topic of logarithms that has me stumped.
    Thanks.
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