In a series of six experiments, the method of magnitude estimation, constrained by a multivariate model, was used to assess the rules that govern the summation of the loudness of two-tone complexes. This methodology enabled us to specify the amounts of summation and simultaneously to construct the corresponding loudness scales.\The components had different frequency separations and in the different experiments were presented (1) dichotically, a different frequency to each ear; (2) diotically, to both ears; and (3) monaurally. Results replicated and in some condi· tions extended known features of multiple signal processing by the auditory system. Thus, qualitatively different rules of loudness integration appeared. For monaural and diotic modes of stimulation, overall loudness depended on total sound energy within the critical band, but on the simple sum of component loudnesses beyond the critical band. For dichotic presentations, a fully additive rule of loudness summation appeared, regardless of frequency spacing. For the latter (but not the former), loudness summation was perfect, with the underlying loudness scales closely approximating Stevens's sone scale.In the present set of experiments, we measured the loudness of two tones as a function of (1) their frequency separation (narrow spacing within a critical band vs. wide spacing across a critical band) and (2) their mode of presentation (dichotic, diotic, or monaural). Although the various conditions thus generated have all come under the name of auditory summation, there are substantial differences among them in both the nature of the subjective experience and the objective, measurable outcome. For one, they can be classified as analytic or synthetic, depending on whether or not the components of stimulus mixtures are perceptually separable. More importantly, the rules of integration may differ across conditions. Indeed, the major purpose of this study is to uncover systematically the rules that govern summation under specific conditions of stimulation. Both of the variables tested within the framework of the present investigation are shown to affect the way the auditory system deals with the effects of concurrent multiple stimulation.Preparation of this paper was supported by Nlli Grant NS21326 to Lawrence Marks. His support and suggestions are gratefully acknowledged, as is Robert Melara's useful criticism. We also thank Edward Carterette and two anonymous reviewers for helpful comments on an earlier version of this manuscript. Barbara Faulkner and Elise Low provided skillful assistance at various stages of the completion of the manuscript. Address correspondence to Daniel Algom, Department of Psychology, Bar nan University, Ramat Gan 52100, Israel.Many of the basic findings on loudness summation have been reported by earlier researchers (e.g., Algom & Marks, 1984;Irwin, 1965;Marks, 1978a Marks, , 1978b Marks, , 1979a Marks, , 1979bMarks, , 1980Porsolt & Irwin, 1967;Reynolds & Stevens, 1960;Scharf, 1969Scharf, , 1970Scharf, , 1978Scharf & Fishken, 19...