centi-octave

music An interval such that 1 octave = 100 units, hence 1 centi-octave represents a multiplication of frequency by

= 1.006 955~; for frequencies f₁ and f₂, the latter the higher, the difference in centi-octaves is

100 × log₂(f₂/f₁) = 332.193~ × log₁₀(f₂/f₁).

Compare cent, which has 100 units to the semitone, 1 200 to the octave.