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Old 2008-10-17, 10:12
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johnmansley johnmansley is offline
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I think the numbers are the intervals from the first note of the row. I'm not entirely sure of this, however, as one would then assume that the inversion of the example in [22] would be 34012 rather than 23401 (which would only make sense if the first two-tone interval was indicating the starting point of the row from some universal note, e.g. middle C).

In terms of applying contour to a given row (taking duration as the contour, for example) I read this as creating another set (i.e. the contour) of each possible duration (e.g. whole beat, half beat, quarter beat, eigth beat, etc...) and then serialising these durations with respect to the row. I then read this to mean that each duration must appear once before the contour is repeated.

This would then imply that a simple application of this idea would be the case where the row and contour consist of the same number of elements. I'm not sure whether it would be classed as strict serialism (as my understanding of the subject is not great) but you could then keep the row sequence constant while permuting the contour set.

As for the mathematical side of this, I think this is probably limited to multiplication and transformation of matrices. Combinatorical analysis would simply lead to the number of permutations within a row or contour of a given number of elements.

Well, that's my take on it anyway; without specific examples of the mathematics behind the constructions it's difficult to know whether that answers your question.
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