Re: need help with microtone

On 8 Oct 2003 at 12:19, Carsten Becker wrote:

> The thing I'm worrying about most is howto find out the ration between the
> sounds (cf. c:b = 15:8) and hwo to calculate the sound in Hertz**. As it
> seems, exponential growth is important.
Yes. If you move by an octave (how strange a word for something
normally divided into twelve, btw) up or down, you double or half the
Hertz.

Thus, I thínk the formula is:

a = frequency in Hertz of a', in most European cases 440

o = octave number (0 is the octave for a')

x = number of notes in an octave, in your case 8

n = Note Number (0 .. (x-1)), in your case (0 .. 7)

h = Hertz = a * 2^(o + (n / x))

This is derived from basic math of a logarithmic scale, and things
might well be wackier for music, but I don't think they're likely to
get much wierder. The naming of notes as semitones is a largely
semantic thing that your scheme may or may not need to take into
account (e.g. x might need to be 16 or something).




Paul

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