![]() ![]() Harry Partch’s 43 tone and other just scales 6.2. Scales and temperaments: the fivefold way 5.1. History of consonance and dissonance 4.4. A mathematician’s guide to the orchestra 3.1. Convolutionģ0 31 31 37 39 43 47 48 50 54 55 60 63 64 68 70 72 73 77Ĭepstrum The Hilbert transform and instantaneous frequency WaveletsĬhapter 3. ![]() Fourier series for FM feedback and planetary motion 2.12. In Nicolas Slonimsky’s Book of Musical Anecdotes, reprinted by Schirmer,Ĭontents Preface Introduction Books AcknowledgementsĬhapter 1. Now to thy case, in flannel warm to lie, Till call’d again to pipe thy master’s eye. Could e’en Dryden return, thy praise to rehearse, His Ode to Cecilia would seem rugged verse. Reedy Hautboy may squeak, wailing Flauto may squall, The Serpent may grunt, and the Trombone may bawl But, by Poll,∗ my old Fiddle’s the prince of them all. More and more plaintive grown, my eyes with tears o’erflow, And Resignation mild soon smooths my wrinkled brow. With graceful action moves the sinuous arm My heart, responsive to the soothing charm, Throbs equably whilst every health-corroding care Lies prostrate, vanquished by the soft mellifluous air. There on Fancy’s wing I soar Heedless of the duns at door Oblivious all, I feel my woes no more But skip o’er the strings, As my old Fiddle sings, “Cheerily oh! merrily go! “Presto! good master, “You very well know “I will find Music, “If you will find bow, “From E, up in alto, to G, down below.” Fatigued, I pause to change the time For some Adagio, solemn and sublime. When o’er thy strings I draw my bow, My drooping spirit pants to rise A lively strain I touch-and, lo! I seem to mount above the skies. Come, then, my Fiddle, Come, my time-worn friend, With gay and brilliant sounds Some sweet tho’ transient solace lend, Thy polished neck in close embrace I clasp, whilst joy illumines my face. The poor fiddler’s ode to his old fiddle Torn Worn Oppressed I mourn Bad Sad Three-quarters mad Money gone Credit none Duns at door Half a score Wife in lain Twins again Others ailing Nurse a railing Billy hooping Betsy crouping Besides poor Joe With fester’d toe. Ode to an Old Fiddle From the Musical World of London (1834) The latest version in Adobe pdf format can be found at ∼bensondj/html/maths-music.html Please email comments and corThis work is rections to the above email address. Music: A Mathematical Offering Dave Benson Department of Mathematical Sciences, Meston Building, King’s College, University of Aberdeen, Aberdeen AB24 3UE, Scotland, UK Home page: ∼bensondj/Į-mail address: \/\/b\e/n\s/o\n/d\j/\/ (without the slashes) at maths dot abdn dot ac dot uk Date: Version: Web c Dave Benson 1995–2006. ![]()
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