How to Make a Flute - The All Important Mathematical Formula

Ever wondered how to make a flute? I'm notbe 30.74 inches, or 70.08 centimeters long.
talking about something cut from a drinking strawThe next step in how to make a flute is simple.
with scissors, or put together using a cardboardWith an open ended flute, the body of the flute
paper towel tube... I mean make a flute that's awould actually need to be one half-wavelength
genuine quality, professionally tuned musicallong to play the fundamental note (the lowest
instrument. Whether you use wood, PVC (flutesnote possible to play, with all finger holes closed)
made from this material sound like blowingproperly, in this case "A". Due to other variable
through glass - an excellent sound), or copper pipefactors in flute making such as bore diameter, wall
(also sounds just as excellent) in flute making,thickness and etc., the flute will actually need to
there are a few mathematical things to keep inbe a tiny bit shorter - depending upon the
mind, but they all pretty much revolve around,thickness of the flute wall factoring in as well, this
and stem from, the one all-importantis generally about 1/3 of the bore diameter.
mathematical formula involved in how to makeShorten the length little by little until the correct
flute type woodwind instruments, or even thosenote is achieved. How to make flute
of other types. Do you know what thisembouchures, or the blowing edge hole, is to
mathematical formula is? Well, I'll tell you...make it half of the flute's bore diameter wide,
If you want to know how to make a flute, youmeasuring the center point of the hole to be a
first need to know two numbers. The first one isbore diameter's distance from the inner face of
the measurement of the speed of sound in inchesthe closed end.
(or centimeters, etc.) per second. In inches, thatA very convenient part about knowing how to
would be 13526.5, and in centimeters, that wouldmake a flute is in the fact that the above
be 34357.31 - this is how far in linear distancemathematical formula is also how you would find
sound travels per second, at sea level, at aboutthe positions for the finger holes' center points,
70 degrees Fahrenheit, or at about 21 degreesaccording to the notes they are to play. How to
Celsius. The second number to know in flutemake flute finger holes is to start small, slowly
making is how many Hertz (frequency ofmaking them bigger as you "creep" them up the
vibration) that a particular given note resonates at.length of the flute towards the closed end until
For a brief and simple example, let's say we usethe right note is achieved. Finding the correct hole
the note "A". The frequency of "A", in Hertz, isplacements along the length of the flute's body is
440. Now we take the speed of sound in inchesimportant, but anywhere around the body at that
(or centimeters) per second and divide thatpoint along the length is fine for hole placements...
number by the note's frequency, in this case 440,this allows for the reach of different sized fingers
and we will then have the measured length of theand hands.
wavelength of the note "A". This would end up to