A tempered scale can be defined by a constant proportion between neighboring frequencies. With each octave divided into
parts, it is possible to approximate some standardized note closely. In most situations this note will be a standard
A at
Hertz. Alternative standard tones can be used to generate slightly different scales. The sequence of powers that defines the individual tones can remain the same, which is a consequence of defining its factor progression to be the
root of
.
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