UIUC Physics 406 Acoustical Physics of Music
Professor Steven Errede, Department of Physics, University of Illinois at Urbana-Champaign, Illinois
2002 - 2017. All rights reserved.
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Acoustics of Small Rooms, Home Listening Rooms, Recording Studios
The acoustical properties of small rooms – used e.g. for listening to music, watching movies,
etc. in a person’s home, or e.g. sound recording studios – differs considerably from that of large
rooms – auditoriums, concert halls, cathedrals, lecture halls, etc. primarily in the reverberation
times (typically T
60
< ½ second for a small room) and also room resonances. The “mix” of direct
sound vs. early reflected sound vs. reverberant sound is different for small vs. large rooms. In a
large room, first-arrival times of the early reflected sound are typically on the order of ~ 50-80
ms after the direct sound, whereas for small rooms, the first-arrival times of the early reflected
sound are typically on the order of ~ few ms after the direct sound. Additionally, and especially
so in home environments, the sound absorption properties of the room often are significantly
higher than in large rooms, due to the presence of carpeting on the floor, window curtains on
walls, etc. Thus, the acoustic “intimacy” of the small room often makes it difficult to emulate the
acoustics associated with that of a larger space, e.g. when listening to recorded music.
The Sabine formula
60
0.161TVA holds for small rooms, and shows that for fixed small
volume V, the reverberation time can be increased by reducing the absorption A of the room.
However, if you’ve ever been in an empty room in a house, e.g. with no carpeting or
drapes/curtains present, because of the short first-arrival times associated with a small room,
the reverberant properties of a small empty room are starkly different than that of an auditorium.
The short vs. long decay time associated with sound in small vs. large rooms provides important
auditory information/clues to the listener about the size and nature of the room.
For rectangular rooms, the eigen-frequencies associated with the axial, tangential and oblique-
mode room resonances
2
22
1
2
lmn x y z
vlL mL nLwith ,, 0,1,lmn
will also be commensurately higher than those associated with an auditorium, also contributing
to the perceived acoustic differences between small vs. large rooms. The higher-frequency room
resonances accompanying small vs. large rooms thus “color” the sound of recorded music being
listened to in a small room differently than e.g. in an auditorium-type live-sound environment.
Most listeners in a small room will likely be situated such that they are ~ 2 m or more away
from loudspeakers located in the small room. At low frequencies, the directivity factor Q of
loudspeakers is reduced {due to diffraction effects} and the room absorption, A is typically low
in small rooms at low frequencies {e.g. carpeting absorbs sound relatively poorly at low
frequencies}, thus a listener in a small room is often in the reverberant field of the room at low
frequencies, i.e. typically
2
44Qr A
at low frequencies. At higher frequencies, the directivity
factor Q of the loudspeakers increase as well as the sound absorption A of the room such that for
a typical listening distance of r ~ 3-4 m,
2
44Qr A
at higher frequencies, further
contributing to the listener’s perception that small rooms are “dead”-sounding, relative to large
auditorium/concert halls, etc.
In a small listening room such as in a house, an audiophile likely enjoys listening to music
recorded in stereo (i.e. L & R-channel sound), or perhaps a enjoys watching a movie, or
recordings of live music e.g. on a DVD with the 5.1 surround-sound – i.e. requiring a multiple
channel/multiple speaker home theater sound system.