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Why is it important to have speakers that accurately reproduce the time and phase relationships of the original signal?

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Why is it important to have speakers that accurately reproduce the time and phase relationships of the original signal?

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A piano and a violin can play identical notes with identical fundamental frequencies. They produce different sounds because each instrument has unique timbre. Every musical note consists of a fundamental tone and a unique set of harmonic overtones that provide timbre (musical color or signature), allowing us to identify the instrument or voice. Accurate reproduction of timbre and the correct placement of instruments and voices within an acoustic image require that the amplitude and timing relationships between the various parts of each note be maintained. All components in the recording chain and all playback components except speakers maintain these amplitude and phase relationships. Time- and phase-accurate speakers with flat amplitude response assure that the entire waveform is preserved. When the output waveform is a replica of the input waveform, all amplitude and timing relationships are maintained. When some parts of the reproduced signal are out-of-phase timbre and imaging are

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