Scientific Numerical Pattern in Stringed-Fretted Musical Instrument
Music, a creative art has a strong foundation on science and mathematics. Source of music can vary from vocal chord to various types of musical instruments. One of the popular stringed and fretted musical instrument, the guitar has been discussed here. The structure of the guitar is based on mathematical and scientific concepts. Harmonics and frequency play pivotal role in generation of music from a guitar. In this paper, the authors have investigated various factors related to the structure of a guitar. Aspects related to the musical notes of a guitar have been analyzed to gain a better insight into the mathematical pattern involved in the music of a guitar.
Bhattacharya, K.: Sound, India: Hindustan Publishing Concern (1989).
Blatter, A.: Revisiting music theory: Basic Principles, 2nd Routledge (2016).
“Determining Pitch” (2017)., from http://ffden-2.phys.uaf.edu/webproj/212_spring_2014/Claressa_Ullmayer/Mersenne%27s%20Laws.html Retrieved January 07, 2018
Drozdowski, T.: Don’t Fret It! 10 Things You Should Know About Frets. From http://www.gibson.com/News-Lifestyle/Features/en-us/10-things-you-should-knowabout-frets-0705-1.aspx (2012). Retrieved January 07, 2018
Gualandri D. (2016). Analysis of an Acoustic Guitar. https://courses.physics.illinois.edu/phys406/sp2017/Student_Projects/Spring13/Dan_Gualandri_P406_Final_Project_Report_Sp13.pdf. Retrieved January 07, 2018
Gunther, L.: The Vibrating String. In The Physics of Music and Color, pp. 11-62. Springer Science+Business Media, LLC. From https://www.coursehero.com/file/21192809/9781461405566-c1pdf/ (2012). Retrieved January 07, 2018
Herman R. (2012). The Harmonics of Vibrating Strings: An Introduction to Mathematical Physics Via Oscillations. http://people.uncw.edu/hermanr/phy311/MathPhysBook/MathPhys_Main.pdf. Retrieved January 07, 2018
Hokin, S.: Waves and Sound: The Guitar. Retrieved from Samuel Hokin’s website: http://www.bsharp.org/physics/guitar (2018).
Lahdevaara, J.: The Science of Electric Guitars and Guitar Electronics. http://guitarscience.net/papers/guibook.pdf (2014). Retrieved January 07, 2018.
McNeil: The Physics of Guitar Strings. http://physics.csustan.edu/Roger/PhysicsofGuitarStrings.pdf (2017). Retrieved January 07, 2018.
Nave R.: Fret Rule for Guitars. http://hyperphysics.phy-astr.gsu.edu/hbase/Music/guita.html#c3 (2017). Retrieved January 07, 2018.
Noyce. I.: String Tension and Tuning. http://www.noyceguitars.com/Technotes/Articles/T3.html (2017). Retrieved January 07, 2018.
Savage, N. & Andrew, C.: Fingers, Frets, And Strings. https://www.guitarlessons.com/guitar-lessons/beginner-guitar-quick-start-series/fingers-frets-andstrings (2017). Retrieved January 07, 2018
Varieschi, G. & Gower, C.: Intonation and compensation of fretted string instruments. Am. J. Phys. 78 (1): 47-55 (2010). Retrieved from https://arxiv.org/pdf/0906.0127.pdf
Copyright (c) 2020 Anindita Roy Chowdhury and Naresh Sharma
This work is licensed under a Creative Commons Attribution 4.0 International License.
Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.
View Legal Code of the above mentioned license, https://creativecommons.org/licenses/by/4.0/legalcode
View Licence Deed here https://creativecommons.org/licenses/by/4.0/
|Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in|