The Science of Electric Guitars and Guitar Electronics
The Science of Electric Guitars and Guitar Electronics considers the electric guitar and related accessories from a scientific point of view. The majority of books about electric guitars try to avoid using mathematics when describing the scientific phenomena related to the electric guitar. However, mathematics is an invaluable tool in the design processes of all areas of technology, even when designing musical instruments and audio electronics. This book presents simple mathematical methods for modelling the electric guitar as a signal source for electric circuits such as effect pedals and amplifiers. In addition to modelling the electronics inside the electric guitar, the principles of operation of some vintage guitar effects and amplifier circuits are explained and analysed using systematic methods of circuit analysis. The book is intended for everyone who is interested in the design and analysis of basic analogue electronics used in the electric guitar and guitar-related accessories. The presented topics cover the whole signal chain from the guitar strings to the loudspeaker. Therefore, a solid foundation is established for creating own designs in guitar electronics using basic components of analogue electronics.
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GUITAR TONE CONTROL CIRCUITS
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admittance matrix amplitude approximation basic biasing cable calculated capacitance capacitor changes charge components connected constant current source curves defined derived device differential equation diode effect electric guitar electronics end support evaluated factor filter force Fourier frequency response fundamental frequency fuzz gain guitar amplifier harmonic ideal string inductance inductor input signal integral JFET Laplace transform linear loudspeaker magnetic field magnetic pickup measured mechanical modulation motion multivibrator netlist netlist file ngspice nodal analysis node nonlinear numerical obtained op-amp oscillator output signal output voltage parallel parameters Phase 45 phase-shift oscillator piezoelectric plucking potentiometer power amplifier reference resistance resistor resonance frequency reverberation RLC circuit schematic setup shown in Figure simulation sine wave sinusoidal small-signal model solution solve spectrum SPICE term theoretical tone control circuit transducer transfer function transistor tremolo tube tuning upper partials values variable vector velocity Vout waveform