Representing Ratio's in Algebraic Formulae
Okay so i'm looking to create algebraic formula's specific ratio's. This relates to interval relationships in a musical scale for example:
An octave has ratio of 2:1 which is represented by the following formula:
where n = the number of octaves.
So if i wanted to find the value of the frequency 10 octaves above 20 hertz i would say:
So i'm wondering how you would formulate this for other frequency ratios. i.e:
3:2, 5:4 etc.
Any help would be great.