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)
Octave
Twelfth
Fifth
Fourth
Major Third
Major Sixth
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