The Science of Guitar Arun Kumar
Evolution of guitars
SIHTAR (Persian) Kithara (Greek) Qitar (Arabic) Guitarra (Spanish) Lute: Egyptian, Hittite, Greek, Roman, Turkish, Chinese, and other cultures. Ancient Egyptian tomb painting depicting lute players, 18th Dynasty (c.1350 BC). Hellenistic banquet scene from 1st Century AD, Hadda, Gandhara. Lute player far right Renaissance lute (holding position). http://www.riffinteractive.com/browse.aspx?intro=wolfmarshall/history-of-the-electric-guitar
T.D. Rossing: Center for Computer Research in Music and Acoustics (CCRMA), Stanford University
Classification Acoustic Electric Electric-Acoustic
Types of acoustic guitars
Types of electric guitars
Component design
Mechanism of sound generation Direct sound (small fraction)
Transverse waves on a string T - String tension m - String linear density c - Wave propagation velocity Governing Equation Nature of functions is arbitrary (eg. Sinusoidal or Impulsive waves of different shapes) General solution
Superposition of wave pulses Plucked strings
Time analysis of string motion
Classical guitar: Typical frequency spectrum
Vibration Modes of the body Top plate Bottom plate
Other vibration modes
Resonant Frequencies Holographic interferograms of classical guitar at several resonant frequencies Q is a measure of resonance sharpness
Influence of design and construction Bridge: Strongest influence on sound quality (followed by top plate thickness and struts) Mass vs. Stiffening Lower frequencies Higher frequencies
Influence of design and construction Lattice bracing of top plate Struts thickest at bridge, tapering away further Carbon fiber epoxy structs
Influence of design and construction Examples of Radial Asymmetric Bracing Ramirez (Spain) Fleta (Spain) Eban (USA) Holographic interferograms in radially braced strut design (Eban)
Materials of construction Neck: Mahogany or Rosewood Reinforcing steel rod through the length Top plate: Spruce or Redwood Ribs/Struts: Rosewood or similar hardwood Cedar, Pine, Mahogany, Ash, Elder, Maple: Popular Choices Synthetic materials also in vogue: Fibre glass, polymers But considered inferior in general
Bending of rosewood sheets for the guitar side B.C.Bennet, Economic Botany, 70(1), 2016, pp. 49–63
B.C.Bennet, Economic Botany, 70(1), 2016, pp. 49–63
Mechanism of sound generation Direct sound (small fraction)
Electric Guitars
Electric Guitars – typical wiring diagram Piezzo electric pick-up
Aesthetics in design Math Product Design Architecture Physics Chemistry Objectivity Biology Medicine Psychology Fine Arts Subjectivity
In summary…. Guitar is a sophisticated, precision engineered product Needs to meet complex technical requirements based on sound scientific principles Sound output Craftsmanship Precision Durability And aesthetics Visual appeal Touch and feel Quality of sound