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>whatever you're on [to musick]
oh, he's just a Shadrach of his former self, forged in the fiery furnace of felicific calculus, I'm guessing. (but that's just me.)
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...former self... There is none of that left... at least not on this side of the pond.
...felicific calculus.... Bingo! ...but who here purports the personification of Nebuchadnezzar?
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as a composer of music using serial techniques..., I often have predetermined the *space and harmonic context in which to fit a group of notes ... Okay--I think I understand. Musick, tell me if I've gotten it wrong, please. Here goes: let's say, Sweet musick, that you have a block of notes that for convenience's sake I will say is ABCDE (though I think we should imagine a set many times that length, and with many more variations than I will show). So--perhaps you open your piece with ABCDE; or perhaps you have an introductory section first; it doesn't matter. I think that what you are aiming for is to insert ABCDE in all its variations repeatedly into your piece, and that you must somehow ensure that you have enough "spaces" between the filler sections to allow for whatever variation you want in a particular place, all the while needing to ensure that there is at least some reasonable continuity between the sections--a rationale, as it were (I almost said not discordant, but realized it could sound literally discordant, but still be a logical next step, musically/mathematically.) So if you want a variation of say, AaBbCcDdEe, you'd need that much space between the two relevant sections. Golly--I bet sometimes, you might have to play notes stacked up on each other, to fit them all in! 
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Although inversion, retrograde and retrograde-inversion are three *major permutations of an original melodic fragment which some strict serialists insist as the only ones available (in 'pure' form, of course) ... I'm sure, by now, you'd be able to guess what I think about that *ideal.  However, those are only one of many tools to use in an infinite number of constructs, of which your description has just begun to suppose. ...reasonable continuity... I wouldn't go that far.  ...notes stacked up on each other......and as I'm sure you have summated, this takes what would *normally be melodic into the realm of harmony (farbeit from me to mix the two). Anyway, in a previous post one of my intents were to "repopularize" retrograde as a verb. I'm summizing my own failure...
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old hand
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old hand
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Hi musick,
This suggests to me that you must have heard of fractals (Term coined by B. Mandelbrot, but phenomenon known since around 1900). I never heard it applied to music, but there could be a vein to explore..
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Dubdub, I tried your site--way cool, thank you! I thought they had probably misspelled a word in the list--good thing for me that I looked it up!
Fabrics with this style of design are called "bizarre silk." Earlier in this century they were thought to have been made in India, but further research has shown them to be the product of an economic war between France and Italy from about 1690 to 1715.
During the seventeenth century, in an attempt to achieve French economic dominance in Europe, Louis XIV's minister Colbert began a campaign to encourage the manufacture of luxury goods. Various incentives, including tax advantages induced skilled artisans to move to france. Until this time Italy had been the premier silk-producing country. Silk cloth was expensive and popular with the European nobility; dominance in the silk trade represented large sums of money. As the French appeared to be taking over, in the 1690's the Italians made a last attempt to regain the market, creating the unique designs that today are called "bizarre."
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wsieber - The serialists I spoke of were (from what I can remember) following the same lead as were the radical mathematicians of that time. WW - The scale (extent) in which Bach had (even a chance) to play with diminution is/was so insignificant that the term barely applies(IMHO). His use of rhythm was restricted in many ways, most of them by his own historical circumstance. Although it seems as if it is possible to recreate these approaches to structure with some amount of *reflective success, unlike the eye, the ear just isn't developed enough where these would make "sense"...
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...composed more notes... I'll leave you to answer in your own words... Does the word "summized" replace "summated", or does the "-ize" represent a completely different view? WW-I'm changing the subject from Bach because it is *clear that most here have different views of his "skill" than I, and I prefer peaceful coexistence with the dead...
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