Are Hz and cents/semitones readily convertible to and from each other?

Is there a formula?

  • shaggyb@lemmy.world
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    9 hours ago

    Question is not answerable without knowing the tuning system and reference frequency for A4.

  • Lost_My_Mind@lemmy.world
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    14 hours ago

    Sir, this is No Stupid Questions. You can’t just ask a question so advanced that I literally have no core concept what you’re even asking.

    Questions for this sub are like “Should I drink bleach? Is it safe?”

    The answer is no.

    Your question…uhhhhhh…

    • cheese_greater@lemmy.worldOP
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      14 hours ago

      It carried that risk in my view because i know so little about frequencies and pitch and hz and all this stuff so for all i knew, it could have been the same as the ratio of SchruteBucks to StanleyNickels

  • traceur201@piefed.social
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    14 hours ago

    Cents are a measure of difference between two frequencies and can’t be converted directly to hz on its own.

    An initial frequency in hz and an offset in cents can be used to calculate a second frequency in hz, such as in your initial question. Using the formula from wikipedia f1 * 2^(c/1200) = f2, we get 1hz * 2^(-100/1200) = .9439hz. Note that +1200 cents is double (2^1) and -1200 cents is half (2^-1) the original frequency

  • dariusj18@lemmy.world
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    15 hours ago

    Given a note, ex. A4 is 440 Hz, moving up an octave, or 12 semitones, is doubling the Hz. You can figure out the Hz from the base note by multiplying it by 2^(x/12) where x is the number of semitones you want add.

          • AmidFuror@fedia.io
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            13 hours ago

            I got it wrong, and it would have been funnier as a correction if I had spelled it correctly.

            One of Zeno’s Paradoxes of Motion states that we cannot move from A to B because first we must move halfway there. Then we must move half of the remaining distance. This continues infinitely, with us never being able to arrive at the destination because we must first close the distance by half.

            Such is it when we try to get from 1 Hz to 0 Hz by reducing by semitones.