I connect it of course to the Mass, for as a teen I was a cantor mostly accompanied by the Pipe Organ, always wondering why my Mom was head-over-heels for it. In my life it seemed merely consequential. In fact, at the time, I hated cantoring for the Organ and preferred piano for its unwavering 5th grade simplicity. It didn't challenge me, ergo I could sing with it, without ever being challenged beyond the level of elementary music.
Now, as I hear the gloriousness of the Pipe Organ through August Rush, even though my own parish has the premier Pipe Organ in the entire Archdiocese, I so rarely hear it. Every time I do, via film or in real life, I am brought to my knees, and when is my own parish, and I hear it during the Sacred Liturgy, I am not just brought to my knees, but to tears for it so brings me to God as it is designed.
You see, the Pipe Organ hearkens back to Genesis...it gives back to God what He gave to Man (to US as humanity for the theologically-challenged among us).
God gave us (Man) life by breathing into Adam and therefore, all his progeny (US!).
The Pipe Organ is man expelling that breath back to God in holiness, a response of thanksgiving, supplication, praise, and sacrifice in ultimate worship.
That is what the Pipe Organ represents and why, as described in Sacrosanctum Concilium, the Vatican II document on the Mass, holds it in such high and necessary regard.
When such a noble instrument falls silent we lose our liturgical life and the worship due unto God in its complete fullness.
Explains a lot about our sad liturgical times, doesn't it?