LEADER 04265oam 2200481 450 001 9910437572603321 005 20190911112726.0 010 $a3-642-39587-2 024 7 $a10.1007/978-3-642-39587-1 035 $a(OCoLC)864999647 035 $a(MiFhGG)GVRL6YHR 035 $a(EXLCZ)993710000000031270 100 $a20131017d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 14$aThe languages of western tonality /$fEytan Agmon 205 $a1st ed. 2013. 210 1$aHeidelberg [Germany] :$cSpringer,$d2013. 215 $a1 online resource (xxvii, 280 pages) $cillustrations, music 225 1 $aComputational Music Science,$x1868-0305 300 $a"ISSN: 1868-0305." 311 $a3-642-39586-4 320 $aIncludes bibliographical references and index. 327 $aChap. 1  Prototonal Theory: Tapping into Ninth-Century Insights -- Part I  Prototonality -- Chap. 2  Preliminaries -- Chap. 3  Communicating Pitches and Transmitting Notes -- Chap. 4  The Conventional Nomenclatures for Notes and Intervals -- Chap. 5  Communicating the Primary Intervals -- Chap. 6  Receiving Notes -- Chap. 7  Harmonic Systems -- Chap. 8  Prototonality -- Part II  The Languages of Western Tonality -- Chap. 9  Tonal Preliminaries -- Chap. 10  Modal Communication -- Chap. 11  Topics in Dyadic and Triadic Theory -- Chap. 12  Modes, Semikeys, and Keys: A Reality Check -- Chap. 13  A Neo-Riepelian Key-Distance Theory -- Chap. 14  Tonal Communication -- Chap. 15  The Tonal Game -- App. A  Mathematical Preliminaries -- App. B  Z Modules and Their Homomorphisms -- Index. 330 $aTonal music, from a historical perspective, is far from homogenous; yet an enduring feature is a background "diatonic" system of exactly seven notes orderable cyclically by fifth. What is the source of the durability of the diatonic system, the octave of which is representable in terms of two particular integers, namely 12 and 7? And how is this durability consistent with the equally remarkable variety of musical styles ? or languages ? that the history of Western tonal music has taught us exist? This book is an attempt to answer these questions. Using mathematical tools to describe and explain the Western musical system as a highly sophisticated communication system, this theoretical, historical, and cognitive study is unprecedented in scope and depth. The author engages in intense dialogue with 1000 years of music-theoretical thinking, offering answers to some of the most enduring questions concerning Western tonality. The book is divided into two main parts, both governed by the communicative premise. Part I studies proto-tonality, the background system of notes prior to the selection of a privileged note known as "final." After some preliminaries that concern consonance and chromaticism, Part II begins with the notion "mode." A mode is "dyadic" or "triadic," depending on its "nucleus." Further, a "key" is a special type of "semi-key" which is a special type of mode. Different combinations of these categories account for tonal variety. Ninth-century music, for example, is a tonal language of dyadic modes, while seventeenth-century music is a language of triadic semi-keys. While portions of the book are characterized by abstraction and formal rigor, more suitable for expert readers, it will also be of value to anyone intrigued by the tonal phenomenon at large, including music theorists, musicologists, and music-cognition researchers. The content is supported by a general index, a list of definitions, a list of notation used, and two appendices providing the basic mathematical background. 410 0$aComputational music science. 606 $aMusicology$xData processing 606 $aTonality 606 $aMusic$xWestern influence 615 0$aMusicology$xData processing. 615 0$aTonality. 615 0$aMusic$xWestern influence. 676 $a781.258 700 $aAgmon$b Eytan$4aut$4http://id.loc.gov/vocabulary/relators/aut$01065560 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910437572603321 996 $aThe Languages of Western Tonality$92546635 997 $aUNINA