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June 8th, 2017, 09:25 AM  #1 
Newbie Joined: Jun 2017 From: london Posts: 1 Thanks: 0  formula to determine note and octave from harmonic and fundamental?
Hi there, I'm doing some research into resonance (harmonics) and stuff... I have a mediocre understanding of music, but my math is terrible.. hence the post. I need a formula that gives me the note or interval and (preferably) the octave it is in, from the fundamental frequency of any chosen harmonic in the harmonic series. So e.g. I have a frequency of 4hz and the harmonic n, let's say the 4th harmonic, I need the frequency of that particular harmonic. I'm guessing this part is easy...for some (not me). However What I can't get my head round is figuring out the relative note i.e. 1st (fundamental), #1st, 2nd, #2nd, 3rd, #4th #5th all the way up the 12 possible notes or intervals. I Can work the note (a,b) out from the interval (1st, 2nd) and the fundamental). I'd also like to know how many octaves up that harmonic is. The Harmonic series is exponential so a formula must exist but it is measured in a cycle of 12's. I can't find anything on the internet to answer this problem. There are probably many faults in the question itself so apologies for my puny brain. Many Thanks for reading, Dan Rowlinson Last edited by skipjack; August 7th, 2017 at 10:43 PM. 
August 7th, 2017, 10:43 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,823 Thanks: 2160 
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Tags 
determine, formula, fundamental, harmonic, note, octave 
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