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The normal 88 keys were numbered 1–88, with the extra low keys numbered 89–97 and the extra high keys numbered 98–108. A 108-key piano that extends from C 0 to B 8 was first built in 2018 by Stuart & Sons. [4] (Note: these piano key numbers 1-108 are not the n keys in the equations or the table.)
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An 88-key piano, with the octaves numbered and middle C (cyan) and A 4 (yellow) highlighted A440 is widely used as concert pitch in the United Kingdom [ 8 ] and the United States . [ 9 ] In continental Europe the frequency of A 4 commonly varies between 440 Hz and 444 Hz. [ 8 ]
Pedro Patricio observed in 2012 that, by using a Shepard tone as a sound source and applying it to a melody, he could reproduce the illusion of a continuously ascending or descending movement characteristic of the Shepard Scale. Regardless of the tempo and the envelope of the notes, the auditory illusion is effectively maintained. The ...
Because of that, all notes with these kinds of relations can be grouped under the same pitch class and are often given the same name. The top note of a musical scale is the bottom note's second harmonic and has double the bottom note's frequency. Because both notes belong to the same pitch class, they are often called by the same name.
The natural inharmonicity of a piano is used by the tuner to make slight adjustments in the tuning of a piano. The tuner stretches the notes, slightly sharpening the high notes and flatting the low notes to make overtones of lower notes have the same frequency as the fundamentals of higher notes. See also Piano wire, piano tuning, psychoacoustics.