https://blog.yhuang.org/?p=163 here. Tue, 14 Oct 2025 11:10:14 +0000 hourly 1 http://wordpress.org/?v=3.1.1 https://blog.yhuang.org/?p=163&cpage=1#comment-55644 Some stuff » random thoughts on classifying chords Sun, 22 Feb 2009 22:25:35 +0000 http://scripts.mit.edu/~zong/wpress/?p=163#comment-55644 [...] To generalize even further, omitting harmonics is a special case of applying weighting (or a spectral filter) to all the harmonics. This is perhaps what people aptly call “color” of the sound. Thus all chords and chord colors can actually be identified entirely by the weight vector on the harmonic series. (This may not be as trivial as it sounds, because it implies additional degrees of freedom in musical activity, by varying weights dynamically and continuously, for example, and generalizing discrete progression of chords.) [...] [...] To generalize even further, omitting harmonics is a special case of applying weighting (or a spectral filter) to all the harmonics. This is perhaps what people aptly call “color” of the sound. Thus all chords and chord colors can actually be identified entirely by the weight vector on the harmonic series. (This may not be as trivial as it sounds, because it implies additional degrees of freedom in musical activity, by varying weights dynamically and continuously, for example, and generalizing discrete progression of chords.) [...]

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