Frequency of pitch in a cup of tea?

If you tap the rim of your cup with a spoon, you get differently pitched tones - the rim by the handle and the opposite section are the same tone, and the ones inbetween are different, but the same as each other. This seems to work on all cups but it easier to discern in a bone china mug. If you tap all the way round, the tone goes up and down in quarter sections. Why's that then?

Answers:
I guess that where you tap the cup is important. The ringing sound will be generated by the energy you put in from the tap. The tone is dependent on the internal volume at the point where you tap, and the thickness of the cup where you are tapping.

If it were a cylinder I guess that it would produce an even tone all over, maybe you should try that?

Far from being boring this is an interesting question about harmonics, I am off to the kitchen, with a spoon.
You obviously are very bored
zzzzzzzzzzzzzzzzzzzzzzzzzzzz

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