I want to buy a B♭-clarinet, but I don't know a lot about clarinets. I noticed that most clarinets are tuned to A=442Hz, while more expensive clarinets sometimes can be found with A=440Hz.
I don't really understand why this is. Concert pitch is A=440Hz, so I would expect that a clarinet, which is generally not a solo instrument would be tuned to a pitch that allows it to play with, for example, a piano.
I believe, but I'm not sure of this, that a trained clarinetist can change the pitch of the sound of their instrument by changing the tension of their lips/mouth. Would that mean that a clarinet pitched at A=442Hz can play with other instruments pitched at 440?
If this is true: then why do these (more expensive) clarinets at 440Hz exist? If the reason for this is that this makes playing easier: then why are all clarinets not made at 440Hz?