Melody Extrapolation in GTTM Approach

We developed a melody-morphing method in which we input melodies A and B and not only interpolate but also extrapolate other melodies between those two melodies. This is done in a systematic order according to a certain numerical measure, based on the parameters which reflect the influential features of two input melodies. The main advantage of our method is that a time-span tree is used, which is acquired from the music surface using a music theory called Generative Theory of Tonal Music (GTTM). By using our defined primitive operations of time-span trees, we can manipulate melodies like numerical expressions.