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## How to Make a Flute – The All Important Mathematical Formula

Ever wondered how to make a flute? I’m not talking about something cut out of a drinking straw with scissors, or put together using a cardboard paper towel tube… I mean make a flute that is a real quality, professionally tuned musical instrument. Whether you use wood, PVC (flutes made of this material sound like blowing through glass – a great sound), or copper pipe (sounds great too) To make a flute, there are some mathematical things to keep in mind, but they all rotate a lot, and the flute type An important mathematical formula involved in how to make woodwind instruments, or even other types. Do you know what this mathematical formula is? Well, I tell you…

If you want to learn how to make a flute, you first need to know two numbers. The first is the measurement of the speed of sound in inches (or centimeters, etc.) per second. In inches, that would be 13526.5, and in centimeters, that would be 34357.31 – this is the linear distance sound travels per second, at sea level, at about 70 degrees Fahrenheit, or about 21 degrees Celsius. The second number to know in flute construction is how many hertz (frequency of vibration) a particular given note resonates. For a brief and simple example, let’s say we use the note “A”. The frequency of “A” is 440 in hertz. Now we take the speed of sound in inches (or centimeters) per second and divide that number by the frequency of the note, in this case 440, and we will have the measured length. Note the wavelength of “A”. It will be 30.74 inches, or 70.08 centimeters long.

The next step in how to make a flute is simple. With an open-ended flute, in this case the body of the flute must actually be a half-wavelength longer to play the “A” fundamental note (the lowest note possible to play with all fingerholes closed). Due to other variable factors in flute making such as bore diameter, wall thickness and etc., the flute should actually be slightly shorter – also depending on the wall thickness of the flute, it is usually about 1/. 3 of bore diameter. Shorten the length little by little until you get the right note. How to make flute embouchures, or flying edge holes, is to make them half as wide as the bore diameter of the flute, measuring the center point of the hole from the inner face of the closed end to the distance of the bore diameter.

A very convenient part of learning how to make a flute is the fact that the above mathematical formula tells you how to find the locations for the center points of the finger holes, according to the notes they play. How to make flute finger holes is to start small, gradually making them larger and “rip” down the length of the flute at the closed end until you get the right note. Finding the correct hole placements along the length of the flute body is important, but it’s best to place holes anywhere along the length of the body… this allows for access for different sized fingers and hands.

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