*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.*

**Author**: Dave Benson

**Publisher:** Cambridge University Press

**ISBN:** 0521619998

**Category:** Mathematics

**Page:** 426

**View:** 974

*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.*

**Author**: Dave Benson

**Publisher:** Cambridge University Press

**ISBN:** 0521619998

**Category:** Mathematics

**Page:** 426

**View:** 974

*Fractals in Music – Introductory Mathematics for Musical Analysis, High Art Press. Max V. Mathews, 1969. The Technology of Computer Music, MIT Press. W. A. Mathieu, 1997. Harmonic Experience, Inner Traditions International.*

**Author**: Dave Benson

**Publisher:** Cambridge University Press

**ISBN:** 9780521853873

**Category:** Mathematics

**Page:** 426

**View:** 903

*Explores interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.*

**Author**: David J. Benson

**Publisher:**

**ISBN:** 1139641638

**Category:** Music

**Page:** 427

**View:** 820

*In other words, if the new fourth and fifth are inverse musical intervals (they combine to create an octave), then each is the same distance from its ... Benson, D. J.: 2007, Music: A Mathematical Offering, Cambridge University Press.*

**Author**: Gareth E. Roberts

**Publisher:** JHU Press

**ISBN:** 9781421419183

**Category:** Mathematics

**Page:** 320

**View:** 908

*A lengthy bibliography on mathematics and music can be found in David J. Benson's grand treatise Music: A Mathematical Offering [2], which gives far more technical and in-depth coverage of nearly all ...*

**Author**: David Wright

**Publisher:** American Mathematical Soc.

**ISBN:** 9780821848739

**Category:** Music theory

**Page:** 178

**View:** 875

*References 1. Agust ́ın-Aquino, O.A., Mazzola, G.: Modulation in tetradic harmony and its role in jazz. J. Math. Music 14(1), 58–65 (2020). https://doi.org/10.1080/17459737. 2019.1655673 2. Benson, D.: Music: A Mathematical Offering.*

**Author**: Mariana Montiel

**Publisher:** Springer Nature

**ISBN:** 9783031070150

**Category:** Language Arts & Disciplines

**Page:** 418

**View:** 930

*Benson, D.: Music: A Mathematical Offering. Cambridge University Press, Cambridge (2006) 4. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algoritms. Plenum Press, New York (1981) 5. Downie, J.S.: Evaluating a simple ...*

**Author**: Octavio A. Agustín-Aquino

**Publisher:** Springer

**ISBN:** 9783319718279

**Category:** Computers

**Page:** 373

**View:** 752

*Benson, D.: Music: a Mathematical Offering. Cambridge University Press, Cambridge (2006) 2. Borup, H.: A History of String Intonation, http://www.hasseborup.com/ahistoryofintonationfinal1.pdf 3. Carlsson, C., Fullér, R.: Fuzzy Reasoning ...*

**Author**: Elaine Chew

**Publisher:** Springer Science & Business Media

**ISBN:** 9783642023941

**Category:** Computers

**Page:** 298

**View:** 787

*On the contrary , -1 e , § 9 ૐ -2 -3 -4 -4 -5 9 9 2 Chapter 3 Music as Formal Language What's so special about. renders the circle of fourths . ... D. Benson , Music : A Mathematical Offering ( Cambridge University Press , 2007 ) 2.*

**Author**: Keiji Hirata

**Publisher:** Springer Nature

**ISBN:** 9789811951664

**Category:** Electronic books

**Page:** 264

**View:** 563

*Computer Music Journal 35, no. 3 (2011): 40–56. Benson, David J. Music: A Mathematical Offering. Cambridge: Cambridge University Press, 2006. Bibby, N. 'Tuning and Temperament: Closing the Spiral'. In Music and Mathematics: From ...*

**Author**: R. T. Dean

**Publisher:** Oxford University Press

**ISBN:** 9780190226992

**Category:** Music

**Page:** 713

**View:** 844