유사관계(Similarity Relation)의 접근방법에 관한 연구

Abstract

Observing aspects of similarity between musical objects, as well as guiding one's attention with the help of these observations, are notions present everywhere in the work of analyst or composer. Being ever-present does not correlate with being family, however. The nature and dynamics of similarity assessments in music are questions of extraordinary complexity. The advent of pitch-class set theory during recent decades has produced a wide range of studies concentrating specifically on similarity assessments. Each and every pitch combination in the tempered scale has only one pcset identity, each and every pcset only one set-class identity. A set-classification is an exact framework offering a wide range of possibilities for relating the elements it contains. We can identity properties of an individual SC(set-classification), compare the properties of different SCs, and, whenever necessary, gather results from all comparisons in the entire SC universe. Pitch-class set-theoretical tools developed with the purpose of assessing similarity between pcsets and set-classes are usually grouped under the heading similarity relations. In the pcset-theoretical literature, there is no universal convention or agreement on how a similarity relation should be defined, or what criteria a given theoretical construct should fulfil in order to be called one. Simply, the term comprises a number of different approaches aimed at assisting in determining whether two or more pcsets or set-classes can be deemed similar or dissimilar to one another. Notions on which these relations are based include pc contents, ic, and subset-class contents, SC family membership, etc.