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. . . is a piece that was composed over a period of a year & a half. I composed them out of order; the second one coming first. These are indeed three separate mechanisms; each of them having their own method of creation.
Some Technical Information on the Second Movement (if you are interested) This second movement, was composed using a mathematical system of the arrangement of the numerical sequence : 1 2 3 4 5 6 7 This sequence sounds pretty basic, but that is the beauty of it. I then take a modular formula (found in "modular arithmetic") to obtain the numerical series that I want. In modular arithmetic, you are dealing with a circular formation of numbers. & what you are thinking right now IS : "What the HELL is this guy talking about? Right?" Well, everyday, human beings whom live with time, deal with modular arithmetic, & does not even know they are doing it.
PROOF: Someone is asked to meet at an appointment in 3 hrs. & the time is now 10am. Now in normal math 10 + 3 is 13, BUT in modular arithmetic, the answer is 1(if of course you are NOT in the military). SEE!!!
So the formula I used is as follows : x-1-1(mod7) x-2-1(mod7) x-3-1(mod7) x-4-1(mod7) x-5-1(mod7) x-6-1(mod7) x-7-1(mod7) **but in order to obtain the next "x" term, you must add "x" to itself. Sounds complicated, but it's not.** I'll give you a start on the numeric sequence that this formula gives with the base sequence of 1 - 7. First start with x=1 x-1-1(mod7) = 1-1-1 which equals 6 Then to obtain the next "x", add 6 to itself 6+6(mod7)=5 x-2-1(mod7) = 5-2-1 which equals 2 Then again add "x" to itself 2+2(mod7)=4 x-3-1(mod7) = 4-3-1 which equals 7 . . . . . . . etc . . . . . . . until it repeats after 21 times through. The first three are exemplified here. Then when I finished with this, I broke the numbers into subgroups. Example is the first 6 : being turned into 1 + 4 + 1. Then assigned an eighth note to the number 1. So the first 6 in musical terms would be eighth + 4eighths + eighth. So there's the introduction of the process used for the Marimba part's rhythmic sequence. If anyone is crazy enough to hear the rest or get any clarifications, LET ME KNOW - "Contact ME"!!!
Duration of the Mechanisms: I. 6.02' II. 1.05' III. 3.54'
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