The so-called ‘Canon Tables’ of the Christian Gospels are an absolutely remarkable feature of the early, late antique, and medieval Christian manuscript cultures of East and West, the invention of which is commonly attributed to Eusebius and dated to first decades of the fourth century AD. Intended to host a technical device for structuring, organizing, and navigating the Four Gospels united in a single codex – and, in doing so, building upon and bringing to completion previous endeavours – the Canon Tables were apparently from the beginning a highly complex combination of text, numbers and images, that became an integral and fixed part of all the manuscripts containing the Four Gospels as Sacred Scripture of the Christians and can be seen as exemplary for the formation, development and spreading of a specific Christian manuscript culture across East and West AD 300 and 800. In the footsteps of Carl Nordenfalk’s masterly publication of 1938 and few following contributions, this book offers an updated overview on the topic of ‘Canon Tables’ in a comparative perspective and with a precise look at their context of origin, their visual appearance, their meaning, function and their usage in different times, domains, and cultures.

This book deals with the phenomenon of vowel harmony, a phonological process whereby all the vowels in a word are required to share a specific phonological property, such as front or back articulation. Vowel harmony occurs in the majority of languages of the world, though only in very few European languages, and has been a central concern in phonological theory for many years. In this volume, Harry van der Hulst puts forward a new theory of vowel harmony, which accounts for the patterns of and exceptions to this phenomenon in the widest range of languages ever considered. The book begins with an overview of the general causes of asymmetries in vowel harmony systems. The two following chapters provide a detailed account of a new theory of vowel harmony based on unary elements and licensing, which is embedded in a general dependency-based theory of phonological structure. In the remaining chapters, this theory is applied to a variety of vowel harmony phenomena from typologically diverse languages, including palatal harmony in languages such as Finnish and Hungarian, labial harmony in Turkic languages, and tongue root systems in Niger-Congo, Nilo-Saharan, and Tungusic languages. The volume provides a valuable overview of the diversity of vowel harmony in the languages of the world and is essential reading for phonologists of all theoretical persuasions.

Where did the major scale come from? Why does most traditional non-Western music not share Western principles of harmony? What does the inner structure of a canon have to do with religious belief? Why, in historical terms, is J.S. Bach’s music regarded as a perfect combination of melody and harmony? Why do clocks in church towers strike dominant-tonic-dominant-tonic? What do cathedrals have to do with monochords? How can the harmonic series be demonstrated with a rope tied to a doorknob, and how can it be heard by standing next to an electric fan? Why are the free ocean waves in Debussy’s La Mer, the turbulent river waves in Smetana’s Moldau, and the fountain ripples in Ravel’s Jeux d’Eau pushed at times into four-bar phrases? Why is the metric system inherently unsuitable for organizing music and poetry? In what way does Plato’s Timaeus resemble the prelude to Wagner’s Das Rheingold? Just how does Beethoven’s work perfectly illustrate fully functional tonality, and why were long-range works based on this type of tonality impossible before the introduction of equal temperament? In this new century, what promising materials are available to composers in the wake of harmonic experimentation and, some would argue, exhaustion? The answers to these seemingly complicated questions are not the sole province of music professors or orchestra conductors. In fact, as E. Eugene Helm demonstrates, they can just as easily be explained to amateurs, and their answers are important if we are to understand how Western music works. The full range of Western music is explored through 21 concise chapters on such topics as melody, harmony, counterpoint, texture, melody types, improvisation, music notation, free imitation, canon and fugue, vibration and its relation to harmony, tonality, and the place of music in architecture and astronomy. Intended for amateurs and professionals, concert-goers and conductors, Helm offers in down-to-earth language an explanation of the foundations of our Western music heritage, deepening our understanding and the listening experience of it for all.

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This antiquarian volume contains a short elementary treatise on musical harmony. This concise yet comprehensive treatise contains a wealth of knowledge on the constitution of a musical harmony, and is intended for beginners, for the use in school, and for students in musical institutions who have to acquire in a short time a knowledge of the main facts of harmony. Written in clear, concise language and full of useful and practicable information, this text is ideal for the novice, and would make for a wonderful addition to collections of allied literature. The chapters of this book include: Ear-Training in the Diatonic Major Scale, Primary Triads of the Major Key in Root Position, Primary Triads of the Minor Key in Root Position, IIA and VIA in the Major Key – Via in the Minor Key, First Inversions of Triads in the Major Key, et cetera. We are republishing this vintage text now in an affordable, modern edition complete with a specially commissioned new biography of the author.