Yes. Imagine you excite only the second harmonic of the string: the frequency is doubled and the mid point of the string is a node. Putting your finger there and letting half the string vibrate gives the same result.guilesar said:If the frequency of the pitch of a string is 60 Hz and I halve the length, should it produce a pitch with a frequency of 120 Hz?
The relationship between pitch and string length is inverse. This means that as the string length increases, the pitch decreases, and vice versa.
String tension also has an inverse relationship with pitch. As the tension in the string increases, the pitch also increases.
The mathematical equation for the relationship between pitch and string length is: frequency = (1/2L) * √(T/µ), where L is the length of the string, T is the tension in the string, and µ is the mass per unit length of the string.
The string material also plays a role in the relationship between pitch and string length. Different materials have different densities and stiffness, which can affect the frequency of the string and therefore the pitch.
Yes, the thickness of the string, also known as its diameter, can affect its pitch. Thicker strings tend to have a lower pitch than thinner strings due to their mass and stiffness.