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

By John Fauvel, Raymond Flood, Robin Wilson

From historic Greek occasions, track has been obvious as a mathematical paintings, and the connection among arithmetic and song has interested generations. This choice of vast ranging, complete and fully-illustrated papers, approved by way of best students, offers the hyperlink among those matters in a lucid demeanour that's appropriate for college students of either matters, in addition to the overall reader with an curiosity in track. actual, theoretical, physiological, acoustic, compositional and analytical relationships among arithmetic and tune are opened up and explored with concentrate on tuning and temperament, the maths of sound, bell-ringing and sleek compositional suggestions.

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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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Extra resources for Music and Mathematics: From Pythagoras to Fractals

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10-12-68 Avalon Ballroom, San Francisco, CA Setlist should read as follows: 1: Dark Star>St. Stephen>The Eleven>Death Don’t Have No Mercy 2: Cryptical Envelopment>The Other One>Cryptical Envelopment>New Potato Caboose>jam>drums>jam>feedback Pig Pen did not perform that night. This show was not broadcast live on the radio at the time of its performance, but a recording of it aired on KSAN as part of a San Francisco Music anniversary celebration in early 1976 along with a Cold Rain and Snow and a Morning Dew of earlier origin which have thus sometimes been included as part of this show.

02-22-68 King’s Beach Bowl, King’s Beach, CA Setlist should read as follows: Morning Dew, Beat it on Down the Line, Dark Star>China Cat Sunflower>The Eleven>Caution Fri. 01-26-68 Eagles Auditorium, Seattle WA Setlist should read as follows: Alligator, Cryptical Envelopment>The Other One>Cryptical Envelopment>New Potato Caboose>Born Cross-Eyed>feedback>Spanish jam>Dark Star>China Cat Sunflower>The Eleven>Caution>feedback Above is from a vault tape labeled Seattle and dated 1-22-68. However, contemporary Seattle newspaper ads only mention shows on the 26th and 27th, as does the poster for the shows.

Stephen*> Cryptical Envelopment*> Drums*> The Other One*> Cryptical Envelopment*> Cosmic Charlie* E: New New Minglewood Blues* *appears on Road Trips Vol. 3 No. 3. 3 No. 3 bonus disc. Fri. 05-15-70b Fillmore East, New York, NY (late show) Setlist should read as follows: Acoustic: Deep Elem Blues***, Ballad Of Casey Jones***, Silver Threads and Golden Needles***, Black Peter***, Friend of the Devil** ***, Uncle John’s Band***, Candyman, She’s Mine***, Katie Mae***, I Hear A Voice Callin’* *** Electric: China Cat Sunflower***> I Know You Rider***, Cumberland Blues***, Hard To Handle***, Beat it on Down the Line****, Morning Dew***, Good Lovin’***, Dire Wolf***, Next Time You See Me****, Dark Star***> St.

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