Math in the Real World:

Math and Music






 Table 1. Standard Frequency Ratios

 Ratio
 Name
 1:1
 Unison
 1:2
 Octave
 1:3
 Twelfth
 2:3
 Fifth
 3:4
 Fourth
 4:5
 Major Third
 3:5
 Major Sixth
Length = x -- Fundamental Pitch
x/2 -- An Octave Higher (2/1 the Fundamental Frequency)
x/3 -- An Octave plus a Perfect Fifth (3/1 the Fundamental Frequency)
x/4 -- An Octave plus a Perfect Fifth plus a Perfect Fourth (= Two Octaves) (4/1 the Fundamental Frequency)
x/5 -- Two Octaves plus a Major Third (5/1 the Fundamental Frequency)