INTERVALLIC SCALING IN THE BACH CELLO SUITES

INTERVALLIC SCALING IN THE BACH CELLO SUITES
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DOI:
10.1142/s0218348x09004521
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发表时间:
2009-12-01
影响因子:
4.7
通讯作者:
Brothers, Harlan J.
Brothers, Harlan J.
中科院分区:
数学2区
文献类型:
--
作者:
Brothers, Harlan J.

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约翰·塞巴斯蒂安·巴赫的大提琴组曲表现出几种幂律标度,其中最好的例子可以被认为是自然界中的分形。这篇文章从旋律音程及其衍生物旋律矩的特征来考察音阶。介绍了一种新的有效的音高分析方法,并将其应用于六套大提琴组曲中的36首乐曲。
The cello suites of Johann Sebastian Bach exhibit several types of power-law scaling, the best examples of which can be considered fractal in nature. This article examines scaling with respect to the characteristics of melodic interval and its derivative, melodic moment. A new and effective method for pitch-related analysis is described and then applied to a selection of the 36 pieces that comprise the six cello suites.