weird mathy musical question (n0t math rock)

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so i'd like to know if there is there some sort of musical equation or ratio of some sort to figure this out

so you have a sample. you pitch it up or down. how much does that change it's tempo? if you change so that it's an octave higher, is it's pitch doubled (i'm totally assuming it's not that easy at all, but my friend believes it to be so). is there a way to figure this out?

thanks.

― JaXoN (JasonD), Monday, 8 December 2003 01:06 (twenty-one years ago)

Shifting up an octave = doubling the frequency, yes. Thus, shifting up a semitone increases the frequency/bpm by the twelfth root of two (approximately 1.059).

― OleM (OleM), Monday, 8 December 2003 01:15 (twenty-one years ago)

OleM will you be my math buddy?

― Curt1s St3ph3ns, Monday, 8 December 2003 01:17 (twenty-one years ago)

Why of course! (Erm, exactly what does that entail?)

― OleM (OleM), Monday, 8 December 2003 01:20 (twenty-one years ago)

Can you do Markov chains, OleM?

― Sonny A. (Keiko), Monday, 8 December 2003 01:37 (twenty-one years ago)

Um, yes?

― OleM (OleM), Monday, 8 December 2003 01:40 (twenty-one years ago)

i'm emailing you my homework!!

― Sonny A. (Keiko), Monday, 8 December 2003 01:45 (twenty-one years ago)

What's the square root of 7,396?

― Aja (aja), Monday, 8 December 2003 01:47 (twenty-one years ago)

Ahem, back on topic, sort of: Music based on Markov chains.

― OleM (OleM), Monday, 8 December 2003 02:06 (twenty-one years ago)

frequency = root * (2^(n/12)) Where n is your interval and you're working in a 12-tone system. I used to have a quarter-step guitar, and each note on that was 2^(1/24) times the next lower note.

― minion, Monday, 8 December 2003 08:21 (twenty-one years ago)

Markov chains are lame probability-based maths - lets talk about proper maths, like the acer-than-ace Bolzano-Weierstrass theorem!

― Nick H (Nick H), Monday, 8 December 2003 15:27 (twenty-one years ago)

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