Theory. Coltrane cycle

This is mostly just a way to get started on the next theory post after a two week absence.


The Coltrane cycle (from wikipedia):


"In jazz harmony, the Coltrane changes (Coltrane Matrix or cycle, also known as chromatic third relations and multi-tonic changes) are a harmonic progression variation using substitute chords over common jazz chord progressions. These substitution patterns were first demonstrated by jazz musician John Coltrane on the album Blue Train on the tunes "Lazy Bird" and "Moment's Notice". Coltrane continued his explorations on the 1960 album Giant Steps, and expanded upon the substitution cycle in his compositions "Giant Steps" and "Countdown", the latter of which is a reharmonized version of Miles Davis's "Tune Up." The ability to solo over the Giant Steps/Coltrane cycle remains one of the standards by which a jazz musician's improvising ability is measured."



Here is 'Countdown':

And here is 'Tune Up', on which it was based: