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020			_a 46125
020			_a0521619998 (pbk.) 9780511811722
035			_a(OCoLC)ocm69484257
035			_a(OCoLC)69484257
040			_aUKM _cUKM _dBAKER _dBWKUK _dYDXCP _dOCLCQ _dDLC
041			_aeng.
042			_alccopycat
050	0	0	_aML3805 _b.B35 2013
082	0	0	_a781.2 _222
100	1		_aBenson, D. J. _q(David J.), _d1955-
245	1	0	_aMusic : _ba mathematical offering / _cDave Benson.
264		1	_aCambridge, UK ; _aNew York : _bCambridge University Press, _c2013
300			_a1 online resource (xiii, 411 pages) : _billustrations (some color)
336			_2text _atxt _brdacontent
337			_bcomputer _2c _ardamedia
338			_aonline resource _bcr _2rdacarrier
500			_aMay be used as an undergraduate textbook; includes exercises.
504			_aIncludes bibliographical references (p. 386-392) and index.
505	0		_aIntroduction: Read pp. 1-4 1 - Waves and harmonics: Read pp. 5-35 2 - Fourier theory: Read pp. 36-90 3 - A mathematician's guide to the orchestra: Read pp. 91-143 4 - Consonance and dissonance: Read pp. 144-160 5 - Scales and temperaments: the fivefold way: Read pp. 161-209 6 - More scales and temperaments: Read pp. 210-244 7 - Digital music: Read pp. 245-264 8 - Synthesis: Read pp. 265-311 9 - Symmetry in music: Read pp. 312-360 Appendix A - Bessel functions: Read pp. 361-364 Appendix B - Equal tempered scales: Read pp. 365-366 Appendix C - Frequency and MIDI chart: Read pp. 367-367 Appendix D - Intervals: Read pp. 368-371 Appendix E - Just, equal and meantone scales compared: Read pp. 372-373 Appendix F - Music theory: Read pp. 374-380 Appendix G - Recordings: Read pp. 381-385 References: Read pp. 386-388 Bibliography: Read pp. 389-392 Index: Read pp. 393-411
520			_aSince the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.
650		0	_aMusic _xAcoustics and physics.
650		0	_aMusic _xMathematics.
650		0	_aMusical perception.
655		0	_aElectronic books.
856			_yFull text available from Cambridge University Press Click here to view _uhttps://www.cambridge.org/core/books/music-a-mathematical-offering/B90B3A21E75C866582C32DC2A3FA7123
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cER