Download Music and Mathematics: From Pythagoras to Fractals by John Fauvel, Raymond Flood, Robin Wilson PDF

Notations

From the Preface :

This e-book illustrates a suite of track manuscripts which used to be made lately to profit the root for modern functionality Arts. the gathering was resolute by means of situations instead of any strategy of choice. hence it exhibits the numerous instructions within which song notation is now going. The manuscripts usually are not prepared in response to varieties of song, yet alphabetically in line with the composer's identify. No explanatory details is given.

The textual content for the e-book is the results of a method using I-Ching probability operations. those decided what number phrases relating to his paintings have been to be written through or approximately which of 2 hundred and sixty-nine composers. the place those passages (never greater than sixty-four phrases, occasionally just one) were particularly written for this ebook, they're preceded via a paragraph signal and by means of the author's identify. different feedback have been selected or written by means of the editors - John Cage and Alison Knowles. not just the variety of phrases and the writer, however the typography too - letter measurement, depth, and typeface - have been all made up our minds by accident operations. This procedure used to be that allows you to reduce the variation among textual content and illustrations. The composition of the pages is the paintings of Alison Knowles.

A precedent for the textual content is the Questionnaire. (The composers have been requested to jot down approximately notation or some· factor suitable to it. ) A precedent for the absence of data which characterizes this publication is the modern aquarium (no longer a depressing hallway with each one species in its personal illuminated tank separated from the others and named in Latin): a wide glass apartment with the entire fish in it swimming as in an ocean. the gathering of manuscripts constitutes an archive, the contents of that are indexed on the finish of this e-book. The editors are thankful to the various composers and song publishers who've made this presentation of mid-twentieth century track notation attainable.

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