: 6 finger Flute hole placement formula I like to experiment on plastic flutes. Is there a mathematical formula for placing holes in a flute? Is it same for all kinds of flutes for example western flute,6 hole flute or 8 hole

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There are mathematical formulas for placing flute holes. You will need different ones for each different style of flute. A Google search for "flute hole calculator" turns up about ten sites that provide the calculations. Several good ones:

flutomat
Bracker Whistles
a description of the calculations