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.
'They stole little Bridget for seven years long; When she came down again her friends were all gone. They took her lightly back, between the night and morrow; They thought that she was fast asleep, but she was dead with sorrow. They have kept her ever since deep within the lake, On a bed of flag-leaves, watching till she wake.'
When the 19th century Anglo-Irish poet Richard Allingham wrote his poem The Fairies, he was replicating a belief about supernatural figures who steal children that stretched back to ancient Persian myths that date from 3000 BC.
Football has come to the ancient city of Ankh-Morpork – not the old fashioned, grubby pushing and shoving, but the new, fast football with pointy hats for goalposts and balls that go gloing when you drop them. And now, the wizards of Unseen University must win a football match, without using magic, so they’re in the mood for trying everything else.
Nora Roberts invites you to unlock your dreams... Three women. Three keys. Each has 28 days to find her way through a dangerous quest. Nora Roberts brings us a unique series with a twist - each novel is written in real time, and the novels will be published in consecutive months.
