Parameter

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A basic quality of the musical material that might be changed without modifying the value of other parameters of the same material.

Aspect/parameter/dimension

This article introduces some clarity in terminology for the usage on the wiki. Historically the basic term in the literature is parameter, but it's used quite inconsistently from author to author.

Usage

As we defined parameters in relation to one another, it's makes the most sense to consider them in sets. Many composers have devised different sets of parameters and in these accounts, the requirement for cross-independence is not always observed. This page will provide a comparison of a few options. For an earlier historical overview, check Carl Bergstrøm-Nielsen's Sound is Multi-Dimensional [2]

The parameters may apply either to a single source, and also to a more complex musical moment. On the wiki we use Aspect as the most general possible term for material quality. As an example of non-parametrical Aspect consider genre, which is changed directly from one to another by modifying a lot of basic parameters at once.

We use Dimension for a specific type of a linear parameter. And it's worth noticing that four main dimensions are commonly used in different sets of parameters — we'll call that "Big4" for short:

  • Pitch,
  • Volume (a.k.a. Dynamics),
  • Duration (convertible to Density), and
  • Timbre.

The comparison

Author Source Big4 SmallX
Milton Babbitt Who Cares If You Listen?1 Pitch split to pitch class and register 0
Carl Bergstrøm-Nielsen Sound is multi-dimensional2 Duration as Density 4: Pulse-No Pulse, Tempo, Tonal-Atonal, Degrees of contrast
W.A. Mathieu Listening Book3 + 2: Texture, Feeling and Intention
Iannis Xenakis Formalized Music4 Dynamics as "attack" X: open-ended, preliminary
Bibliography
1. Babbitt Milton. "Who cares if you listen?" High Fidelity, February 1958, pp. 38-40
2. Bergstrøm-Nielsen Carl. Sound is Multi-Dimensional: Parameter analysis as a tool for creative music making. 2006 https://vbn.aau.dk/da/publications/sound-is-multi-dimensional-parameter-analysis-as-a-tool-for-creat Preprint.
3. Mathieu W.A. The Listening Book: Discovering Your Own Music. Shambhala Publications 1991.
4. Xenakis Iannis. Formalized Music : Thought and Mathematics in Composition. Indiana University Press 1971.

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