A frequency ratio of about 1.06 often appears in cochlear mechanics, and the question naturally arises, why? The ratio is close to that of the semitone (1.059) in music, giving reason to think that this aspect of musical perception might have a cochlear basis. Here, data on synchronised spontaneous otoacoustic emissions is presented, and a clustering of ratios between 1.05 and 1.07 is found wit...

This paper presents a statistical method that estimates a sequence of discrete musical notes from a temporal trajectory of vocal F0s. Since considerable effort has been devoted to estimate the frame-level F0s of singing voices from music audio signals, we tackle musical note estimation for those F0s to obtain a symbolic musical score. A naı̈ve approach to musical note estimation is to quantize t...

This paper describes an algorithm for producing pitch circularity using tones that each comprise a full harmonic series, and reports an experiment that demonstrates such circularity. Banks of 12 tones (i.e., scales) were created, with F0 varying in semitone steps. For each scale, as F0 descended, the amplitudes of the odd-numbered harmonics were reduced relative to the even-numbered ones by 3.5...