How do I calculate the dimensions for correct frequencies for PVC pipes?

Hello Hello!

I'd like to build a slapphone, as it's called I believe, out of PVC pipes. How do I calculate the required length for different notes? It would be best if I created an Excel spreadsheet, but how do I do that?

Thanks in advance?

LG

LurBanane

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KarlRanseierIII
1 year ago

You should be able to check the frequencies of the sounds that you can convert to the wavelength. (speed in air divided by frequency)

Normally, you would take the calculated wavelength if you had a string in front of you, for example, you would have to take off the (inner) diameter at the tube open below.

And in the end, you can also test this, you take the deepest sound you want to cut to wavelength. Then put it in the house, take it up and see what basic frequency you get. Then you gradually shorten until you arrive at wavelength diameter if there are other influencing factors.

KarlRanseierIII
1 year ago
Reply to  LurBanane

Yeah.

So exemplary, Kammerton 440Hz at assumed 343.2 m/s sound speed would be 0.78m, i.e. 78cm. If I take a DN75 (i.e. 7.5cm), the pipe length would have to be 70.5 cm.

You can watch online how to do this, for example, with a panflute, which is a similar construct.

KarlRanseierIII
1 year ago
Franz1957
1 year ago

If the tubes are open at both ends, they must be 1/2 wavelength long. If the tubes are closed at the bottom, as with a marimba, they must be 1/4 wavelength long.

http://www.marimba-portal.de/aboutMarimba.html (Photo “Resonators” on the right)

The length of each resonator is dimensioned for a quarter of the generated wavelength. The effective pipe length is greater by a correction factor than the actual pipe length.

https://de.wikipedia.org/wiki/Marimba

For all resonators open on one side or on both sides, this means that they must be shortened by this uniform end correction path ΔL in order to achieve the desired pitch. […] This correction depends predominantly on the radius R of the tube, but is the same for all tube lengths and frequencies. […] calculations showed different values for ΔL: Hermann von Helmholtz found in 1859 a value of π/4 R, John William Strutt, 3. Baron Rayleigh, calculated in 1894 a correction of 0.82 R, Harold Levine and Julian Vibrationer received a value of 0.61 R in 1948. This was also confirmed by experiments. […] The correction must be attached to each opening of a resonator

https://de.wikipedia.org/wiki/end correction_der_Resonatorlength