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"Stretched tuning" refers to a method of tuning musical instruments, particularly string instruments, where pitches are slightly adjusted from their theoretical mathematical values. In Western music, piano tuners often use a "stretched tuning" where higher notes are imperceptibly sharpened, making them relatively sharper than the lower notes. This practice, along with other tuning systems like Pythagorean or just intonation, highlights the difference between theoretical tuning and practical "playing in tune," where musicians make constant adjustments based on their judgment and experience. The goal is to achieve a pleasing sound, even if it deviates from perfect mathematical intervals.1

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