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Galileo Galilei said he was “reading the book of nature” as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply “looking at numbers.” Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while “looking at numbers” can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski.
Del 44 - Avant-Garde Critical Studies
Le futurisme polonais, 1918-1924/ Polski Futuryzm, 1918-1924 (Vol.1)
Poésie. Manifestes. Déclarations/ Poezje. Manifesty. Deklaracje
Inbunden, Franska, 2024
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This is Volume 1 of 2.In the history of the twentieth century, Futurism marked the birth of the avant-garde and major artistic and literary changes. Although it first appeared in Italy and Russia, it developed in Poland between 1918 and 1924. The vast documentation and texts, most of them previously unpublished, that we have brought together in this volume constitute the most complete collection ever published on Polish Futurism. A rich critical apparatus and iconography from the 1920s complete the work.Dans l'histoire du XXe siècle, le futurisme marque la naissance des avant-gardes et des grandes mutations artistiques et littéraires. S'il apparaît d'abord en Italie et en Russie, il se développe en Pologne entre 1918 et 1924. La vaste documentation et les textes, pour la plupart inédits que nous avons réunis dans ce volume constituent l'ensemble le plus complet jamais édité sur le futurisme polonais. Un riche appareil critique et une iconographie des années 1920 complètent l'ouvrage.
Del 44 - Avant-Garde Critical Studies
Le futurisme polonais, 1918-1924/ Polski Futuryzm, 1918-1924 (Vol.2)
Poésie. Manifestes. Déclarations/ Poezje. Manifesty. Deklaracje
Inbunden, Franska, 2024
1 640 kr
Skickas inom 3-6 vardagar
This is Volume 2 of 2.In the history of the twentieth century, Futurism marked the birth of the avant-garde and major artistic and literary changes. Although it first appeared in Italy and Russia, it developed in Poland between 1918 and 1924. The vast documentation and texts, most of them previously unpublished, that we have brought together in this volume constitute the most complete collection ever published on Polish Futurism. A rich critical apparatus and iconography from the 1920s complete the work.Dans l'histoire du XXe siècle, le futurisme marque la naissance des avant-gardes et des grandes mutations artistiques et littéraires. S'il apparaît d'abord en Italie et en Russie, il se développe en Pologne entre 1918 et 1924. La vaste documentation et les textes, pour la plupart inédits que nous avons réunis dans ce volume constituent l'ensemble le plus complet jamais édité sur le futurisme polonais. Un riche appareil critique et une iconographie des années 1920 complètent l'ouvrage.
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The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.