“…Although we have derived tonal magnitude as a power transformation of the standardized key profile, on reflection it is clear that tonal magnitude is in many ways comparable to the more familiar concept of tonal strength. Research on tonal strength has occupied a central place in work on musical cognition, with such investigations extensively studying, for example, the consequences of varying tonal strength on the processing of and memory for musical passages (e.g., Croonen, 1994Croonen, , 1995Cuddy, Cohen, & Mewhort, 1981;Cuddy, Cohen, & Miller, 1979;Cuddy & Lyons, 1981;Dowling, 1978Dowling, , 1991. In addition, this work has identified characteristics that make a passage tonally strong, with music heard as tonally strong if it (a) is diatonic, in that it is composed primarily of pitches of the diatonic set; (b) begins and ends on the tonic; and (c) exhibits cadential structure (e.g., contains a sequence of chords built on Pitch Class 0, followed by Pitch Class 7, and ending on Pitch Class 0).…”