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Overall goal: To input a song and output certain variables that will allow me to find quantitative patterns between songs.

Example: the time between highest and lowest pitches (in seconds) in a song.

Is there any software that can help me do this?

I have experience in programming so if there is some open-source option that might need a little modifying I am not opposed to that.

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As you mention that you have experience in programming, the Essentia library might fit your need.

Essentia is an open-source C++ library for audio analysis and audio-based music information retrieval released under the Affero GPLv3 license (also available under proprietary license upon request). It contains an extensive collection of reusable algorithms which implement audio input/output functionality, standard digital signal processing blocks, statistical characterization of data, and a large set of spectral, temporal, tonal and high-level music descriptors.

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Processing has good sound libraries such as Minim and apparently a new factory library check this link.

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