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In the paper Calculation of a constant Q spectral transform - J.C.Brown it is mentioned

The conventional linear frequency representation given by the discrete Fourier transform gives rise to a constant separation between components for musical sounds consisting of harmonic components

Since DFT requires the samples to be equally separated how would we always get constant separation between the frequencies ?

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My guess is that Ms. Brown is referring to the notion shown in the figure below. The top panel shows the spectral magnitude of a sawtooth sequence, that repeats five times per second (fundamental freq = 5 Hz), with a linear DFT freq axis. Notice the "constant separation between harmonic components." The figure's bottom panel shows the same spec magnitude with a logarithmic freq axis. There the frequency separation between harmonic components is not constant.

enter image description here

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