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Musicological perspectives on composing  121

                electronic sounds, noises, sets of ordered sonic elements, granular or
                continuous formations etc.);
            3   Definition of the transformations which these sonic entities must undergo
                in the course of the composition (macrocomposition: general choice of
                logical framework […]);
            4   Microcomposition (choice and detailed fixing of the functional or
                stochastic relations of the elements of 2.), i.e., algebra outside-time, and
                algebra in-time;
            5   Sequential programming of 3. and 4. (the schema and pattern of the work
                in its entirety);
            6   Implementation of calculations, verifications, feedbacks, and definitive
                modifications of the sequential program;
            7   Final symbolic result of the programming (setting out the music on paper
                in traditional notation, numerical expressions, graphs […]);
            8   Sonic realization (direct orchestral performance, manipulations of the
                type of electromagnetic music, computerized construction of the sonic
                entities and their transformations).
                             (Quoted from the English publication, Xenakis 1992: 22)

            Even though Xenakis repeatedly stated that any musical phenomenon only
            had merit if it could be translated into rational structures, this should not be
            taken to mean that he simply used mathematical procedures to extend sounds
            into a work. Overall, in this and other texts, Xenakis always proceeded from
            musical ideas, which could be inspired by all sorts of impressions, often
            visual. He saw mathematical procedures as an “extension of intuition” and as
            “tamed and subdued by musical thought” (quoted by Eichert 1994: 35, 3).
            Like his initial ideas, the composing decisions he ultimately took were always
            determined by genuinely musical thinking (as the phases 1, 2 and 8 of his
            outline of the process of composing convincingly show). However, since
            Xenakis also emphasised the interchangeable order of the eight phases, it is
            generally not possible to determine, for instance, when or where he took
            formal decisions, although the sketching out of the macro-structure mainly
            occurred at an early stage (see Phase 3).
              Since the 1990s, composers have been increasingly reflecting on the process
            of composing as a whole, perhaps encouraged by a similar phenomenon in
            musicology. For seven years (2000–2007), Robert H.P. Platz (2010) kept a
            “Sketch Diary” that was initially intended to be limited to one suite (“TOP”
            for orchestra), but ultimately far exceeded it. The American composer Roger
            Reynolds (2002) has at length described his manner of composing, which is
            extraordinarily methodical and encompasses manifold documentation objects.
            His colleague Timothy U. Newman devised his dissertation as a qualitative
            case study:

                In this self-case-study, I examine creative processes that are operative
                during my composition of a short musical work, and the personal and
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