Sort of related, Stanford's Icons of Sound[1] project has digitally reconstructed the acoustics of the Hagia Sophia (present day) as basically the world's most grandiose reverb plugin. You can hear an example here [2] (need to skip around to hear the actual examples). The singers were recorded in a regular room and then post-processed with an acoustic model of the Hagia Sophia.

[1] http://iconsofsound.stanford.edu/index.html

[2] https://www.youtube.com/watch?v=rsLgLNgA-_Q