Congenital amusia is a neurodevelopmental disorder of music perception and production, which has been attributed to a major deficit in pitch processing. While most studies and diagnosis tests have used explicit investigation methods, recent studies using implicit investigation approaches have revealed some unimpaired pitch structure processing in congenital amusia. The present study investigated amusic individuals' processing of tonal structures (e.g., musical structures respecting the Western tonal system) via three different questions. Amusic participants and their matched controls judged tonal versions (original musical excerpts) and atonal versions (with manipulated pitch content to remove tonal structures) of 12 musical pieces. For each piece, participants answered three questions that required judgments from different perspectives: an explicit structural one, a personal, emotional one and a more social one (judging the perception of others). Results revealed that amusic individuals' judgments differed between tonal and atonal versions. However, the question type influenced the extent of the revealed structure processing: while amusic individuals were impaired for the question requiring explicit structural judgments, they performed as well as their matched controls for the two other questions. Together with other recent studies, these findings suggest that congenital amusia might be related to a disorder of the conscious access to music processing rather than music processing per se. (C) 2016 Elsevier Ltd. All rights reserved.