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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 from a tissue paper with scissors, or pieced together with a cardboard towel tube… I mean making a flute that is a quality, professionally made musical instrument. Whether you use wood, PVC (flutes made of this material, like blowing in glass – great sound), or copper pipe (also looks just as good) is a bit of math. to consider, but they all revolve around, and come out of, one important mathematical formula involved in how to make woodwind instruments like the flute, or any other kind. Do you know what this mathematical formula is? Yes, I’ll tell you…

If you want to learn how to make a flute, you must first 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, it would be 34357.31 – that’s how far sound travels in a second at sea level, about 70 degrees Fahrenheit, or about 21 degrees Celsius. . The second number known in flute making is the number of Hertz (frequency of vibration) at which a given note resonates. For a short and simple example, let’s say we use the note “A”. The frequency of “A”, in Hertz, is 440. 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 then we have the measured length. than the wavelength of the “A” note. This will be 30.74 inches, or 70.08 centimeters long.

The next step in making the flute is easy. With an open flute, the body of the flute actually needs to be one half-wave long in order to properly hit the root note (the lowest note played, with all the finger holes closed), in this case “A”. Due to other variable factors in flute construction, such as pipe volume, wall thickness, etc., the flute actually needs to be slightly smaller – factoring in the flute wall thickness, this is usually about 1/3 of bore diameter. Shorten the length gradually until you get the right note. How to make a flute flange, or a blow-edge hole, is to widen it half the diameter of the flute, measuring the center point of the hole as the distance of the pipe from the inside face of the closed end.

A very simple part about knowing how to make a flute is that the above mathematical formula is also how you will find the locations of the center points of the finger holes, depending on the notes they are played. How to make flute finger holes is to start small, gradually making them larger as you “roll” them along the length of the flute towards the closed end until the correct note is achieved. Finding the right hole locations along the length of the flute body is important, but anywhere around the body at that point in length is good for hole placement… this allows for fingers and hands of different sizes to reach.

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