Mathematics and Music
In Our Time25 Touko 2006

Mathematics and Music

Melvyn Bragg and guests discuss the mathematical structures that lie within the heart of music. The seventeenth century philosopher Gottfried Leibniz wrote: 'Music is the pleasure the human mind experiences from counting without being aware that it is counting'. Mathematical structures have always provided the bare bones around which musicians compose music and have been vital to the very practical considerations of performance such as fingering and tempo. But there is a more complex area in the relationship between maths and music which is to do with the physics of sound: how pitch is determined by force or weight; how the complex arrangement of notes in relation to each other produces a scale; and how frequency determines the harmonics of sound. How were mathematical formulations used to create early music? Why do we in the West hear twelve notes in the octave when the Chinese hear fifty-three? What is the mathematical sequence that produces the so-called 'golden section'? And why was there a resurgence of the use of mathematics in composition in the twentieth century? With Marcus du Sautoy, Professor of Mathematics at the University of Oxford; Robin Wilson, Professor of Pure Mathematics at the Open University; Ruth Tatlow, Lecturer in Music Theory at the University of Stockholm.

Jaksot(1082)

Politics in the 20th Century

Politics in the 20th Century

Melvyn Bragg talks to Gore Vidal and Alan Clarke about the future of the nation-state; is the concept dead and buried? And what is the relationship between politics and morality - have salaciousness and self-righteousness taken over where seriousness of intent and a strong nerve left off, or was it ever thus? With Gore Vidal, American writer, commentator and author of The Smithsonian Institution; Alan Clarke, historian, politician and author of The Tories: Conservatives and the Nation State, 1922-97.

22 Loka 199828min

War in the 20th Century

War in the 20th Century

In the first programme of a new series examining ideas and events which have shaped thinking in philosophy, religion, science and the arts, Melvyn Bragg and guests discuss warfare and human rights in the 20th century. He talks to Michael Ignatieff about the life of one of the 20th century’s leading philosophers, Isaiah Berlin, and to Sir Michael Howard about the 20th century will be remembered; as a century of progress or as one of the most murderous in history. When we see pictures on television of starving people in war torn areas most of us feel we must ‘do’ something. Where does the feeling that we are in some way responsible for our fellow human beings originate historically? How has technology affected the concept of the Just War? And what are the prospects for world peace as we enter the next century? With Michael Ignatieff, writer, broadcaster and biographer of Isaiah Berlin; Sir Michael Howard, formerly Regius Professor of History, Oxford University and joint editor of the new Oxford History of the Twentieth Century.

15 Loka 199827min

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