In his review for
AllMusic, Michael G. Nastos describes the album as perhaps the best of Parker's career, writing: "One who listens closely, and more than once, will reap great rewards from this, another excellent document in the growing and substantive discography of the consistently forward thinking Parker". The
All About Jazz review noted "One of Parker's most fully realized large ensemble recordings,
Double Sunrise Over Neptune is cosmic groove music with a global flair—a seamless merger of Eastern and Western traditions conveyed with passionate conviction". The
JazzTimes review by Brent Burton commented "this groovy large ensemble recording acknowledges that a little freedom goes a long way. The occasional explosion of brass-and-string squall is more or less leavened by a cool-blue pulse" ==Track listing==