Details and images in this list are mainly derived from ISFDB, which has fuller information.
US
Serialized in three parts in
The Magazine of Fantasy and Science Fiction:
February,
March, and
April 1979. Cover art: Ed Emshwiller.
St. Martin's Press, 1979. Hardcover. Cover art: Michael Mariano.
ISBN 0312584660
Carroll & Graf, 1988. Trade paperback. Cover art: same as 1985, alas.
ISBN 0881844438
Easton Press, 1993. Limited edition hardcover. Illustrations by Pat Morrissey, introduction by James K. Morrow. No ISBN.
UK
Translations
French (translated by Jean Bonnefoy):
Sur les ailes du chant. Denoël, 1980. Paperback. Cover art: Stéphane Dumont.
German (translated by Irene Holicki):
Auf Flügeln des Gesangs. Hohenheim, 1982. Hardcover. Cover art: Oliviero Berni.
ISBN 3-8147-0025-2
German (translated by Irene Holicki):
Auf Flügeln des Gesangs. Heyne, 1986. Paperback. Cover art: Ulf Herholz.
ISBN 3-453-31218-X
Italian (translated by Paola Tomaselli):
Le ali della mente. Mondadori, 1996. Trade paperback. Cover art: Oscar Chicone.
French (translated by Jean Bonnefoy):
Sur les ailes du chant. Denoël, 2001. Paperback. Cover art: Barrett Foster.
ISBN 2-07-041798-0
Spanish (translated by Luis G. Prado):
En alas de la canción. Bibliópolis, 2003. Trade paperback. Cover art: Roberto Uriel & Manuel de los Galanes.
ISBN 84-932836-5-7
Polish (translated by Michał Raginiak):
Na skrzydłach pieśni. Solaris, 2007. Hardcover.
ISBN 8389951843
E-book
Chu Hartley Publishers, 2016. No cover art.
Textual differences
The Magazine of Fantasy and Science Fiction serialization is slightly shorter than the full novel. Most of the cuts are of incidental flourishes without much effect on the story or the ideas, but one bit stands out in its absence: the paragraph in chapter 3 where Daniel, at the movie theater in Minneapolis, is both shocked and intrigued to notice two men sharing a bathroom stall.
The epigram doesn't appear in the serialization, nor in the first British hardcover from Gollancz.
Editing in this book has been inconsistent. I haven't seen the first US hardcover (St. Martin's), or the latest trade paperback, but both of the other US editions (Bantam and Easton Press) have a variety of errors—the same ones in each, suggesting that the St. Martin's one was the source, since the British hardcover doesn't have them. Most are minor copyediting issues, but at least one passage (the paragraph in Chapter 4 that ends with "hope was part of the punishment") is fairly garbled by a piece of out-of-place text.