The aim is to explore melodic material in order to give improvisers and composers melodic possibilities that enrich their vocabulary. We assume that improvisation and composition may use only two intervals, which we call X and Y. Each interval can be used ascending (+) or descending (-). Let us explore the possible combinations of the two intervals: (+X,+Y) (+X,-Y) (-X,+Y) (-X,-Y)
(+Y,+X) (+Y,-X) (-Y,+X) (-Y,-X)
(+X,+X) (+X,-X) (-X,+X) (-X,-X)
(+Y,+Y) (+Y,-Y) (-Y,+Y) (-Y,-Y)
Applying two intervals to any starting note gives a three-note combination. Let X be the perfect fourth (5) and Y the major third (4). Starting from A, the result is:
(+X,+Y) A D F# (+X,-Y) A D Bb (-X,+Y) A E G# (-X,-Y) A E C
(+Y,+X) A C# F# (+Y,-X) A C# G# (-Y,+X) A F Bb (-Y,-X) A F C
(+X,+X) A D G (+X,-X) A D A (-X,+X) A E A (-X,-X) A E B |
| |