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- W2068380078 abstract "Proportioning of rectangular rooms to give smooth low frequency response has been guided by an empirical rule: dimensions should be related by ratios of 213 or its powers. An analytical basis for a criterion is being explored. Normal frequencies and their distributions are expressed in generalized terms, using dimensions L, pL, qL, and a dimensionless frequency parameter μ. Distributions of μ can be investigated as a function of proportions (p, q) alone, holding volume constant. A frequency spacing index Ψ is obtained by averaging the ratio of actual to average spaces, weighted by the width of each space. The index Ψ increases with increasing fluctuation from uniform spacing; Ψ = 1 for uniform spacing; Ψ = 2 for random (Poisson) distribution. The index has been evaluated numerically over arbitrary frequency intervals, for a number of room proportions. As expected, Ψ is large (>2) for a cube and other proportions with simple ratios. The index has a small value (<1.5) over ranges of incommensurate p, q values. The “213 rule” gives results in the low region, but is apparently not a unique measure of optimum smoothness. These calculations are approximately correct for basically rectangular rooms having irregularities (e.g., polycylindrical diffusers) appreciably smaller than wave-lengths involved. Room proportions, and the Ψ-criterion, are probably not important when room dimensions are longer than about 10 wave-lengths, as adequate diffusion can then be obtained by shape irregularities and absorption." @default.
- W2068380078 created "2016-06-24" @default.
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- W2068380078 date "1945-07-01" @default.
- W2068380078 modified "2023-09-25" @default.
- W2068380078 title "Influence of Room Proportions on Normal Frequency Spacing" @default.
- W2068380078 doi "https://doi.org/10.1121/1.1902395" @default.
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