A harmonic.
Fundamental frequency = 1st harmonic.2nd harmonic = 1st overtone.3rd harmonic = 2nd overtone.4th harmonic = 3rd overtone.5th harmonic = 4th overtone.6th harmonic = 5th overtone.Look at the link: "Calculations of Harmonics from Fundamental Frequency".
It isn't. 438 is divisible by 6 because 438 is a multiple of 6.
The number of numbers in the string; how long it is.
Frequency is equal to inverse of the square root of density. As the frequency of a string for example goes up the density will go down but in a non-linear fashion. That is to create higher and higher frequencies less and less density decreases are required.
All of the factors are prime.
Harmonic is an overtone that's a whole-number multiple of a fundamental frequency. (Penn Foster page 48 of the Sound study guide)
fundamental frequency
The fundamental = 1st harmonic is not an overtone!Fundamental frequency = 1st harmonic.The following tones have a higher frequency:2nd harmonic = 1st overtone.3rd harmonic = 2nd overtone.4th harmonic = 3rd overtone.5th harmonic = 4th overtone.6th harmonic = 5th overtone.Look at the link: "Calculations of Harmonics from Fundamental Frequency".
The first harmonic, is the fundamental frequency, or 550 Hz. The second harmonic would be twice that, or 1100 Hz. The third would be twice that, or 1650 Hz and so on...
That is three times the fundamental frequency. Scroll down to related links and look at "Calculations of Harmonics from Fundamental Frequency".
If a string vibrates at the fundamental frequency of 528 Hz and also produces an overtone with a frequency of 1,056 Hz, this overtone is the
Why not? Not to be overly terse . . . because it's NOT inversely proportional to the mass per unit length. It's inversely proportional to the SQUARE ROOT of the MPUL. If the fundamental frequency of a string were inversely proportional to its MPUL, then doubling the MPUL of the string would cut the fundamental frequency in half (that is, reduce it 50 percent). But we know from observation and analysis that that is not the case. If we double the MPUL of the string, then the fundamental frequency is reduced by about 29 percent, not 50 percent. To reduce the fundamental frequency of the string by half, we would have to quadruple the MPUL of the string!
first harmonic
Second Harmonic
The fundamental frequency is the lowest mode of vibration of a system. If you think of a taut string, the lowest mode with which it can vibrate is the one where the centre of the string travels the maximum distance up and down so the string forms a single arc. It is also possible for it to vibrate so that two arcs (one up and one down) fit into the string, and there are many more possibilities with higher frequencies. On a stringed instrument you can hear the fundamental frequency as the normal note which the string plays, and the others as overtones. Other systems exhibit the same phenomenon.
Overtones.
The fundamental = 1st harmonic is not an overtone!Fundamental frequency = 1st harmonic = 528 Hz.2nd harmonic = 1st overtone = 1056 HzLook at the link: "Calculations of Harmonics from FundamentalFrequency".