Applications of DFT to the Theory of Twentieth-Century Harmony
نویسنده
چکیده
Music theorists have only recently, following groundbreaking work by Quinn, recognized the potential for the DFT on pcsets, initially proposed by Lewin, to serve as the foundation of a theory of harmony for the twentieth century. This paper investigates pcset “arithmetic” – subset structure, transpositional combination, and interval content – through the lens of the DFT. It discusses relationships between interval classes and DFT magnitudes, considers special properties of dyads, pcset products, and generated collections, and suggest methods of using the DFT in analysis, including interpreting DFT magnitudes, using phase spaces to understand subset structure, and interpreting the DFT of Lewin’s interval function. Webern’s op. 5/4 and Bartok’s String Quartet 4, iv, are discussed.
منابع مشابه
Muslim Intellectuals and the Perennial Philosophy in the Twentieth Century
This paper will examine how Muslim intellectuals, as a result of their attachment to the doctrine of Divine Unity (taw¤hīd), the Quran, Sunnah of the Prophet Muhammad, and the doctrines and methods of Sufism, were largely responsible for the restating of the perennial philosophy in the West in the twentieth century. The article consists of four sections: an introduction to the term 'philosophia...
متن کاملThe Role of the German Researchers in the Formation of Islamic Art Studies
In the beginning of the nineteenth century, with the increasing interest of the Europeans in the culture of the East, the first articles on the Islamic art and culture were appeared in German-speaking countries. In the mid nineteenth century, some entries in German encyclopedias were devoted to Islamic art, and from the end of the century, the first monographs on Islamic architecture and orname...
متن کاملRapithwin, the Demon of winter and Baba Barfi An Archetypal Battle of Survival and Transformation In Iranian Children’s Literature of the Twentieth Century
Mythological and folkloric heritages of nations have often been credited with exclusively distinct identities within the realms of literary criticism. Arguing that in a nation like Iran, the firmly visible borders that have conventionally defined mythology in disparity from folklore have been disturbed, this paper considers these two entities as intertwined and their accentuated differe...
متن کاملTwentieth Century Urbanization in Bangladesh and a Spell of High and Unsustainable Urban Growth
Bangladesh is still a low urbanized country although it experienced a rising trend in the level of urbanization throughout the twentieth century and had a remarkably high urban growth immediately after its independence in 1971. The country recorded the highest ever annual average growth rate (9.04) and percentage of interval variation (137.57%) in an urban population in 1974; thereafter, growth...
متن کاملAdenine molecule interacting with golden nanocluster: A dispersion corrected DFT study
The interaction between nanoparticles and biomolecules such as protein andDNA is one of the major instructions of nanobiotechnology research. In this study,we have explored the interaction of adenine nucleic base with a representativegolden cluster (Au13) by using dispersion corrected density functional theory(DFT-D3) within GGA-PBE model of theory. Various active sites ...
متن کامل