Private Music Vs. Corporate Music

I was excited to read page 302 in Give Praise to God this week.  This is a topic that has weighed heavily on my mind since it was brought up in a career chapel last year.  On page 302, Whitney discusses the importance of singing God's word as a part of private worship.  I used to be very interested in creating music, not for corporate worship, but private.  (I have since veered in the direction of corporate.)  If music that is used in corporate worship is designed to fit the needs of the congregation, what differences should there be, or are there in music designed for private worship?  What music would be more or less appropriate for the private worship as compared to the corporate worship, and why?