Harmonic series (Maths and Music) I am a high school student trying to apply calculus to music (harmonic series). I am just wondering, how can I collect data from any online music app (with music tones that form harmonic series - which I do not know yet) and analyze it using calculus (series – specifically, harmonic series?
Any ideas/resources/links will be appreciated.
Maybe my calculator could be of some use...Either ignoring the idiosyncratic music notation (or choosing to learn it), you can calculate frequencies, cent deviations, harmonic space coordinates (prime factorisation as a matrix), etc. for any integer ratio $\frac{a}{b}$ forming an harmonic series aggregate, i.e. a just intonation interval (http://www.plainsound.de/HEJI/). We also have a number of other texts and resources freely available on the https://www.plainsound.org/ page for people interested in this topic.
Maybe my calculator could be of some use...Either ignoring the idiosyncratic music notation (or choosing to learn it), you can calculate frequencies, cent deviations, harmonic space coordinates (prime factorisation as a matrix), etc. for any integer ratio $\frac{a}{b}$ forming an harmonic series aggregate, i.e. a just intonation interval (http://www.plainsound.de/HEJI/). We also have a number of other texts and resources freely available on the https://www.plainsound.org/ page for people interested in this topic.