Physics 120: Notes for class 11

Features of Percussion

  • Transient Sounds
  • Some clearly pitched, some roughly pitched, some unpitched
  • Sound modified greatly by the choice of stick
  • Sounds often modified by where the instrument is struck

Issues in Percussion

  • What is needed to make a pitched sound?
    • Very pitched like glockenspiel and gongs
    • Somewhat pitched like various small drums, cymbals, triangle
    • Totally unpitched like rain stick.
  • How does stick hardness alter the sound?
    • Padded heads produce dull sounds, hard heads produce bright sounds. Why?
  • How do drum bodies affect the sound?
    • Bass drums are very unpitched, kettle drums are quite strongly pitched, heads very similar.

Families of Percussion

Membranophones

Instruments where the sound is produced by a skin stretched over a frame or a resonator. Most drums fall into this family (there exist stone drums too). There is a range of couplings between body and membrane and a range of sound types:-

  • Moderately pitched instruments such as the kettle drum where the resonator plays a crucial role in shaping the sound and the spectrum has a number of strong, nearly harmonic, partials
  • Less tuned bongo and congo types where the resonator body simply emphasises a range of pitches in a non-harmonic spectrum so that there are clearly high and low sounds but no clear notes
  • Cylinder drums where the resonator is still less important and only shapes the overall shape of the spectrum weakly. These have no real sense of pitch but there are higher and lower drums. These include the tenor drums of a pipe band, the orchestral bass drum, and the side drums of a trap set.
  • Snare drums add a noise maker to a standard cylinder drum to make a sound which is almost pure noise. This has great penetrating power but no sense of pitch at all.

The sounds of drums are strongly influenced by the way in which they are played. Striking the drum towards the center reinforces the lowest modes (those with the longest wavelength in the mebrane) while striking towards the edge reinforces higher modes. Stricking with a small or hard stick produces a sharper sound with much more high frequency energy than striking with a large or soft stick. The size of the stick influences the wavelength of drum mode that is most strongly excited. The softness affects how the stick damps the sound. Soft sticks stay in contact with the drum skin longer, damping out higher frequency modes and leading to a less bright sound than hard sticks. The same effect is seen in the struck bar instruments as discussed more below.

Xylophones

Strictly any instrument whose sounding portion is made of wood but commonly tuned bar instruments. These can be plain bars as in the classic xylophone or can add resonators as in the Mariba, the Xylorimba, and the Indonesian Gambang. The natural modes of a struck bar ar not harmonic and the bars are shaped and suspended so as to make the spectrum more harmonic.

Other wooden instruments include the tuned temple blocks and untuned noise makers such as castanets, the whip, maracas, and the funny ridged stick that you rub with another stick (the rasp).

Metalophones

Instruments where the sounding portion is made of metal are called metalophones. These range from strongly pitched instruments such as the suspended vibraphone and glockenspiel, through the moderately tuned orchestral chimes, bells, and gongs to the very untuned cymbals and triangles. The strongly pitched ones operate very similarly to the struck bar xylophones and are further discussed below.

Lithophones

Instruments where the sounding portion is made of stone. While rare in the west these are found in other parts of the world. Pretty much any kind of instrument that you can make from wood or metal can also be made from stone and the familes are the same.

Suspended Bar Modes

  • Modes of a uniform bar suspended freely are also strongly non-harmonic.
  • We can force them to be nearly harmonic in 2 ways
  • Adjust the profile of the bar.
    • Thinning the center of the bar reduces the stiffness for the simple bending mode without strongly affecting the other modes. This lowers the natural frequency of the lowest mode and makes the lowest two frequencies more nearly harmonic.
  • Alter the way the bar is mounted.
    • Sitting the bar on carefully placed dampers allows only modes mode that have nodes near the suspension point to survive. Modes that involve much motion of the suspensions points are damped and decay away quickly.

Different mallets, different tones.

The tone quality of a struck bar instrument is strongly affected by the choice of mallet. By controlling the hardness and shape of the mallets the player can exert a certain amount of control over the tone quality of the instrument.

  • Wide headed mallets can only excite longer wavelength modes. Modes with wavelengths (in the bar) that are shorter than the mallet head will be strongly damped. Wide mallets provide purer, less overtone rich, sounds.
  • Narrow headed mallets provided strongly peaked forces and can excite high frequency, short wavelength modes very easily. They provide a bright sound, rich in upper partials.
  • Mallets made from soft materials stay in contact with the bar for a significant length of time. Normal modes with periods that are shorter than the contact time will be damped as the mallet stays on the bar.
  • Mallets made from hard materials stay in contact with the bar only a very short length of time. They can excite the highest frequency modes.

Clamped Bar Modes

  • Do because we can demo not because they are particularly musically important
    • Iannis Xenakis invented an instrument called the Sixxen that uses clamped plates struck with mallets. Because the sound is non-harmonic the pitch of each note is not perfectly clear but there are clearly higher and lower notes .
    • Heard in person these instruments are very loud! When Les Percussions de Strasbourg came last year I measured sound levels midway in Wellin Hall of over 100dB.
 

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Last modified 9/3/2001.
For questions or comments contact
Brian Collett
Physics Department
bcollett@hamilton.edu