132 Chapter 6
However 282 Hz is also a problem frequency because it
is separated by more than 20 Hz on either side.
6.4 Criteria for Evaluating Room Modes
So far we have shown that there are a few general
guidelines for designing small rooms with good distri-
bution of room modes. We know that if two or more
modes occupy the same frequency or are bunched up
and isolated from neighbors, we are immediately
warned of potential coloration problems. Over the
years, a number of authors have suggested techniques
for the assessment of room mores and methods for
predicting the low frequency response of rooms based
on the distributions of room modes. Most notably Bolt^7 ,
Gilford,^26 Louden,^25 Bonello,^3 and D’Antonio^27 have all
suggested criteria. Possibly the most widely used
criteria is that suggested by Bonello.
Bonello’s number one criterion is to plot the number
of modes (all the modes, axial, tangential, and oblique)
in octave bands against frequency and to examine the
resulting plot to see if the curve increases monotonically
(i.e., if each octave has more modes than the
preceding one or, at least, an equal number). His
number two criterion is to examine the modal frequen-
cies to make sure there are no coincident modes, or, at
least, if there are coincident modes, there should be five
Figure 6-8. The application of Bonello's criterion 1 to the 23 ft × 17 ft × 9 ft room. From AcousticX.
Table 6-7. Axial Modes for a Room 18 Ft × 13 Ft
×9Ft
Frequency Spacing Frequency Spacing
31.39 219.72 2.41
43.46 12.07 251.11 31.39
62.78 19.32 251.11 0.00
62.78 0.00 260.77 9.66
86.92 24.15 282.50 21.73
94.17 7.24 304.23 21.73
125.56 31.39 313.89 9.66
125.56 0.00 313.89 0.00
130.38 4.83 345.28 31.39
156.94 26.56 347.69 2.41
173.85 16.90 376.67 28.97
188.33 14.49 376.67 0.00
188.33 0.00 391.15 14.49
217.31 28.97
(^1) » 3
(^1) » 3