Some minor criticism and additions just to be anal . I ' m sure you know these but I just want to make sure everyone else knows tooThe diatonic extensions on a chord change depending on what chord it is . If you use a 9 th on chord I , II , IV V or VI it ' s the natural ninth . On chord 3 , it ' s the b 9 th . Similar for sevenths I IV and V use major seventh , wheras II , III and VII use flatminor sevenths . Unaltered dominant seventh chords also lead to the tonic . You don ' t have to include the b 9 etc to create that sense of tension . Technically an altered chord is a name for a very specific chord extension it ' s only an altered chord if it contains both an flatsharp ninth and a sharpflat fifth . G 7 b 9 is just a normal extended chord an altered chord would be G 7 # 5 # 9 or G 7 b 9 b 5 You didn ' t talk about secondary dominants , which is kinda a big omission considering so much jazz is based around the cycle of fifths . You also didn ' t talk about key changes , which is a huge omission considering very little jazz stays in one key throughout