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To the best of my knowledge the divisibility of 12 is rarely used in music. Most chords consist use several different intervals.

The popularity of pentatonic music also suggests divisibility isn't unmissable.

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It's very important in jazz. Diminished scale is all over. Augmented scale, too (e.g T. Monk's tunes). Tritone substitution is the basis of reharmonization (due to 12=6*2). Jazz uses everything (including pentatonic), that's why it's so rich.

So rich, and sounds like a racket.

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