Jazz harmony has during jazz history mainly been functionally based on principles of tonality derived from the classical and romantic periods of the 18th and 19th centuries. In the Evolutionary Jazz Harmony project we introduced a functionless harmony system that impacted the musical feeling in jazz compositions to imitate the harmonic feeling in an avant-garde way. The main features of that new harmony system were chords not built on any specific base note and not necessarily connected to the major/minor concept. In this project we introduce an automatic evaluation of the produced harmony sequences that both looks at each individual chord and the chord progression. A population of chord progressions is evaluated and the highest ranked ones will most likely be used for breeding of the offspring. This project is one of the sub-projects of the EJI (Evolutionary Jazz Improvisation) project, where we explore various aspects of jazz music; improvised solo, harmony, tune creation, algorithmic creation of piano, bass and drum accompaniment, communication between instruments etc. The results have been evaluated by a live jazz group consisting of professional jazz musicians.