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The harmonic series is which notes a brass player can play without using any valves. The notes are based on the major chord of the key the instrument is in. It's not all notes that are part of that chord. The lowest note is the key the instrument is in. The next is an octave up. The next is the top note of the chord, then the base note again, then the full chord is accesible. After that, the notes get closer and closer together.

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