Resonant Lengths in open and closed colums

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soulja101
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Is there a pattern for resosnant length for closed and open air coloums. Does this apply to instruments.
 
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What is the pattern

can u tell me the pattern
 
For a closed-ended column it's:

Ln = (2n-1)Vf
4

For an open-ended column it's:

Ln = nv
2f


Ln: which resonant length your finding.
n: the number corresponding to which resonant length is being found
v: theoretical speed of sound in the particular medium you are using. in air, you can find this with the formula: v = 331.3 + 0.606*(temperature in degrees celsius)
f: frequency of the soundwave in the column.

Hope this helps :smile:
 
Sorry, the "4" and the "2f" are the denominators of the equations