The Real Book by Hal Leonard Corporation is a legitimate jazz book with all errors corrected that includes a collection of 400 greatest tunes since the 1970's.. Author Name: Hal Leonard Corporation.Publisher: Hal Leonard Corporation.Publishing Date: September 01, 2004. Edition: 6. ISBN -10: 0634060384. ISBN -13: 978-0634060380. The Real Book by Hal Leonard Corporation - A collection of 400 greatest tunes since the 1970's