Systemic Abstractions

Martin Knakkergaard
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Abstract

Martin Knakkergaard discusses how numbers have had decisive consequences for the development of a tone system of fixed pitch intervals and proportions in general in Western music. Knakkergaard takes as his point of departure considerations regarding the Ancient Greek’s mystical fascination with the number four, aiming to show how this preoccupation can be seen as the primary factor behind the limitations and restricted principles implied in Western music culture and practice throughout European history. Thus, the implied number is regarded as a dominating factor that guides, regulates, and controls human imagination and expectation toward musical artifacts—today maybe even more than ever before.
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系统的抽象
Martin knakkerggaard讨论了数字如何对西方音乐中固定音程和比例的音调系统的发展产生决定性的影响。knakkerggaard以古希腊人对数字4的神秘迷恋为出发点,旨在展示这种关注如何被视为欧洲历史上西方音乐文化和实践中隐含的局限性和限制原则背后的主要因素。因此,隐含的数字被认为是一个主导因素,它引导、调节和控制着人类对音乐人工制品的想象力和期望——今天可能比以往任何时候都更重要。
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