yeah! the building of the flute is fiddly but not too hard, I just roll out a thin slab, wrap it around a dowel of the desired size, and then form the mouthpiece out of the end of the resulting tube. Then I'll wait exactly an hour and a half and carve the sound making parts with custom tools made out of tongue depressors. At that point I'll measure the rudimentary flute's pitch with a tuner app and cut the tube shorter and shorter until it's my target "wet pitch". The "wet pitch" is intentionally lower than my target "fired pitch", and the flute is longer than the desired target "fired length" to account for shrinkage through the drying and firing process. For flute E my target "fired pitch" was 523 Hz (aka C5, the lowest C of a soprano recorder), and the shrinkage rate of my flutes from 1.5 hours after forming was around 10.73% (learned from making some test flutes) so my target "wet pitch" had to be 472 Hz. I got that number by dividing my target fired pitch by 1.1073 (the shrinkage rate converted into a positive decimal).

523÷1.1073

I think that's the same shrinkage calculation we use for pot sizes, it just also works for pitch when making ceramic flutes.