alt Hacker NewsI've been trying to square the physics and my experience.
Pedal B flat is the fundamental, low B flat is the 2x, F 3x, mid B flat the 4x, D the 5X, high F is 6X, G half sharp is 7X and high B flat is 8X.
The position your music teacher most likely will have told you to adjust is 2nd position - you play it slightly sharper for an A vs the E or C sharp it's also used for.
Why is that? It's the major 3rd that has the largest variation between just and equal temperament. The A is often a 3rd against the F, is that why?
But it seems to me that it's all the notes on the D embouchure that will be off -- 1st position D on the trombone is 5X the fundamental, so it's justly tuned, not equally tuned, so shouldn't it be the one that needs the most adjustment? I guess all wind instruments have this problem, so maybe I don't notice because usually I'm playing in a wind band with very few equally tempered instruments like piano, guitar and glockenspiel?
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Most instruments tend to pitch sharp or flat depending on the partial. I don't recall any music teachers giving advice that specific positions should routinely get adjustments, but instead that notes in a particular partial should be adjusted. For example, F above middle C should be flattened when played in 1st position to compensate for 6th partial tending sharp. Or the G in 2nd position above that F needing to be pulled in a bit to compensate for 7th partial tending flat.
Manufacturers have different philosophies around this as well. I have a vintage mid-1960s King 3b whose partials line up differently and require different adjustment from my modern XO 1634... and both of those horns are extremely similar .508 bore tenor trombones.
But you'd only adjust the position of that A if the band is playing an F major chord. Only then.
The D in 1st position - it varies from horn to horn but more often than not yes it'll be a little flat. If you're playing the D as the third of a Bb major chord, then you're already adjusted, easy. If you need a really in-tune D, either 1) tune the whole horn such that 1st position is not quite "all the way in" so you have some room to sharpen the D, 2) use the D in 4th position instead.
Lowering the thirds of chords when you're playing them is generally not something people worry about until they're serious players. And it's really more of an ear training thing than a neuroticism thing. The exercise is to play a static drone over some speakers (say a D), and then play each note of a D major chord up the range, sliding in an out until you can sort of feel the overtones locking in. On the F# you'll feel the lock-in at a flatter position that F# normally is. And the idea is that this proprioceptive sense of intonation will then carry over to your playing.