Tuning of Musical Notes through Mathematics

Full Text(PDF, ) PP.670675


Author(s) 
Anushree Sah, Saurabh Rawat, Bhaskar Nautiyal, Adil Ahmed, Okesh Chhabra 

KEYWORDS 
Piano frequencies, regression, geometric progression,piano keyboard, tuning, sine wave 

ABSTRACT 
Mathematics, an enigma in numbers and calculations, often accompanied by feelings of rejection and disinterest while Music, a flow with emotions, feelings and life. Motivation for investigating the connections between these two apparent opposites' poles i 

References 

[1] Chugunov, Yuri (1985): Harmony of jazz, Moscow.
[2] Fuchs, Laszlo (1973): Infinite Abelian Groups, in: Academic Press, vol..
[3] Huntley, H. E: (1970): The Divine Proportion, Dover.
[4] Beer, Michael (1998): How do Mathematics and Music relate to each other?
(Retrieved in june 2004 from: http://perso.unifr.ch/
michael.beer/mathandmusic.pdf).
[5] Lesser, Larry (2002): Favorite quotations on Math & Music, (retrieved in June
2004 from:
http://www.math.armstrong.edu/faculty/lesser/Mathemusician.html)).
[6] Rueffer, Claire (2003): Basic Music Theory and Math. The Circle of Fifth. (Retrieved in july 2003 from:http://www.geocities.com/ctempesta04/fifth).).
[7] BIBBY, N (2003) Tuning and temperament; closing the spiral. In J . FAUVEL,
R . FLOOD, and R , WILSON (eds), Music and Mathematics ; From Pythagoras to Fractals, chap 1, pp 1327, Oxford University Press, Oxford.
[8] GARLAND, T.H & KAHN, C. V (1995) Math & Music: Harmonious Connections. Dale Seymour Publications, Polo Alto.
[9] ROTHWELL, J, A (1977) , The Phi Factor, Mathematical Properties in Musical
forms. University of Missouri, Kansas City.
[10] Pure Mathematics 30, Student Project : Mathematics and Music,
http://education.alberta.ca/media/614443/feb2007_pmath30_project.pdf
[11] WWW.Musicedmagic.com
[12] .En.wikipedia.org/wiki/musical tunning
[13] Mathemusic number and notes,A mathematical approach to musical frequencies.


