Physics and mechanics. How a lip buzz becomes a standing wave, and how a valve adds tubing to drop the pitch.
plate i · anatomy
You buzz your lips into the mouthpiece and the whole air column vibrates. Pressing a valve diverts the air through an extra loop of tubing, lengthening the horn — and a longer tube means a lower note. Three valves give seven combinations, each its own harmonic series.
the core idea
Open horn is the highest series. Add the 2nd valve and you drop a semitone; the 1st, two; combinations go further — all the way to 1+2+3, six semitones down. Seven steps, just like the trombone's seven slide positions.
the air column, vibrating
harmonic 2 — 2 loops
the engine of brass
Without touching a valve, you climb the harmonic series by changing how you buzz. Here it is, built on the open combination.
tap a harmonic
on the staff (written)
The higher the harmonic, the more the air column subdivides.