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c = speed of sound (1130 ft/s or 343 m/s). i, j, k are mode numbers (0 or integer). Axial modes: one dimension active (e.g., i=1, j=0, k=0).
f = (c / 2) × √(i/Lx² + j/Ly² + k/Lz²)Simplest modes along each axis. 15 ft length → 1130/(2×15) = 37.7 Hz first axial length mode.
f_L = c / (2L) for each dimensionBelow Schroeder frequency (~100–200 Hz depending on room), modes are sparse and problematic. Above it, modes overlap sufficiently for smooth response.
Higher modes accumulate above Schroeder frequencyUpdated: July 2026
First modes: 37.7 Hz (length), 37.7 Hz (width), 70.6 Hz (height). Coincident 37.7 Hz modes on two axes — priority bass trap placement.
Room width 9.4 ft creates axial width mode at 60 Hz — explains boomy low-mid on monitors. Target with tuned bass trap at that dimension.
Calculate modes for proposed dimensions before construction. Avoid cubic ratios (equal dimensions) and simple integer ratios that stack modes.
Rectangular rooms create standing waves (modes) at predictable frequencies based on dimensions. Enter room length, width, and height to calculate axial, tangential, and oblique mode frequencies and identify problematic bass buildup zones.