Loudness scales for 1‐kHz tones, as determined by conventional scaling procedures, have yielded conventional loudness functions which grow as approximately the 0.50 power of the sound pressure. That is, a 10‐dB increase in intensity corresponds roughly to a doubling of loudness. By plotting the loudness as a unidimensional logarithmic function of intensity, we imply that ifAis twice as loud asB, which, in turn, is twice as loud asC, thenAis four times as loud asC. In order to test this prediction loudness ratio estimates were obtained from 10 subjects on four 7×7 matrices of stimuli at 1 kHz with differing interstimulus spacings (30–90 dB SL in 10‐dB steps; 40–70 dB SL in 5‐dB steps; 40–55 dB SL in 2.5‐dB steps; and 30–90 dB SL in irregular intervals). Using a multidimensional representation of the data based upon Shepard's analysis of proximities [R. N. Shepard, Psychometrika27, 125–140, 210–246 (1962)], a simple two‐dimensional configuration was found which adequately represented the data. If the diagram is projected on only one dimension, an approximation is obtained that is locally accurate, i.e., the loudness‐ratio data are accurately represented over a limited range.