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Part of the substantial collection of material related to composer Kaikhosru Shapurji Sorabji at McMaster University's library was obtained thanks to then-professor Rapoport's efforts. In addition to his work on Sorabji, he has been most associated with the music of Havergal Brian, Vagn Holmboe and Allan Pettersson as well as with various aspects of microtonal music. He has made use of microtones in his own compositions, which include a set of partsongs to poems by Erica Jong. As a critic he wrote mostly for the American magazine Fanfare, but also for Tempo, the American Record Guide, and others.
Rapoport, Paul (Spring 1989). "Some Equal Temperaments are more equal than others ... and decidedly more temperamental". Musicworks (43): 8–12. ISSN0225-686X.
Rapoport, Paul (Autumn 1993). "The Structural Relationships of Fifths and Thirds in Equal Temperaments". Journal of Music Theory (Journal of Music Theory, Vol. 37, No. 2) 37 (2): 351–389. doi:10.2307/843787. JSTOR843787.
Rapoport, Paul (October 1997). "Vainberg: Symphony No.17, Memory, Op.137. The Banners of Peace, Op.143 by USSR Radio Symphony Orchestra; Vladimir Fedoseyev; Moisey Vainberg. Vainberg: Symphonies - No.14, Op.117; No.18, War - There Is No Crueller Word, Op.138 by USSR Radio Symphony Orchestra; Vladimir Fedoseyev; Latvian State Academic Choir; Imants Tsepitis; Moisey Vainberg". Tempo202 (202): 30–31. ISSN0040-2982. JSTOR945768.
Rapoport, Paul; Beyer, Anders (June 1997). "Review of Anders Beyer's The Music of Per Nørgård: Fourteen Interpretative Essays". Notes, 2nd Ser. (Notes, Vol. 53, No. 4) 53 (4): 1170–1. doi:10.2307/899479. JSTOR899479.
Rapoport, Paul (January 2001). "Review of Donemus Recording of Röntgen Concertos". Tempo215 (215): 64. ISSN0040-2982. JSTOR946659.