eph221
Loved it Jerry! Jimmy Giuffre used to have me write 2-part inventions for my composition lessons. For those who want to know the difference between (strictly speaking) a fugue and an invention. The fugue follows very strict rules, ala dodecophony, whereas the invention is simply imitative.
Also, a fugue always begins with one voice, be it a 3, 4 or 5 part fugue. An invention can begin with 2 voices if imitative, or even three voices if more harmonic and/or choral in texture.
The rules for fugal writing are not so strict once you grasp the essential principle of good contrapuntal music, that the harmony and voice-leading must work on both the horizontal and vertical planes yet be independent in direction, rhythm and contour. This is why one can write a fugue outside of the major-minor system, because the procedure of fugal writing, particularly the exposition, can be adapted in a variety of styles. In contrast, dodecaphonic procedures involve such harmonic restrictions that it becomes almost impossible to write good harmony without ignoring one aspect or another of 12-tone technique and the 12-tone matrix. At least the principles behind tonal and modal music are based somewhat on the natural order of harmonics. Dodecaphonic principles are pure abstractions, which is probably why only a minority of composers will continue to write within that model.
Jerry
www.jerrygerber.com