The Science of Guitar Arun Kumar.

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Presentation transcript:

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