If you play me a chord (even one with two or three notes), I have a hard time hearing the notes that make up the chord, and an even harder time singing them. 2 notes are frequently doable - 3+ is basically impossible, unless it is something simple like a major chord played in the standard inversion.
I think this is one of the fundamental barriers to training my ears, and I want to know if anyone has suggestions for practicing it.
(Further comments - if you play a chord, typically I'm tempted to sing a note that is melodically appropriate, but not necessarily part of the chord. Also, if I close my eyes and listen to an chord sustained on an organ voice of my keyboard, I can hear inside of it periodic arpeggios ... frequently but not always the notes of the chord but in a different position. It's also unclear to me if it is an aural illusion or something actually in the sound.)