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But for the 370 Hz, it doesn't say this is the fundamental for the lowest note of the clarinet.
The player could well have many fingers up so that the fundamental _of_the_note_being_played is 370 Hz.
The allowed harmonics of that note would be 3x and 5x.
Actually, soda bottles act mostly like Helmholtz resonators.
The critical dimension is the VOLUME of the bottle, not the length
(as well as the radius and length of the neck). The air in the body acts like a spring, while the air in the neck acts like a plug resting on the spring.