Octave (interval region): Difference between revisions

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'''This page is a work-in-progress.'''

An [[octave]] is an interval that is approximately 1200 [[Cent|cents]] in size. While a rough tuning range for octaves is sharper than 1140 cents, the term "octave" tends to imply a function within music that only works with intervals that are exactly (or almost exactly) 1200 cents.

An [[octave]] is an interval that is approximately 1200 [[Cent|cents]] in size. While a rough tuning range for octaves is sharper than 1140 cents, the term "octave" tends to imply a function within music that only works with intervals that are exactly (or almost exactly) 1200 cents, corresponding to a just ratio of [[2/1]].

The aforementioned function is as the '''interval of equivalence''', because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomenon is probably due to the strong region of attraction of low [[harmonic entropy]], or the strong amplitude of the second [[harmonic]] in most harmonic instruments. As such, it is common practice to "[[Octave reduction|octave-reduce]]" intervals so that they lie within the octave.

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 '''This page is a work-in-progress.'''
-An [[octave]] is an interval that is approximately 1200 [[Cent|cents]] in size. While a rough tuning range for octaves is sharper than 1140 cents, the term "octave" tends to imply a function within music that only works with intervals that are exactly (or almost exactly) 1200 cents.
+An [[octave]] is an interval that is approximately 1200 [[Cent|cents]] in size. While a rough tuning range for octaves is sharper than 1140 cents, the term "octave" tends to imply a function within music that only works with intervals that are exactly (or almost exactly) 1200 cents, corresponding to a just ratio of [[2/1]].
 The aforementioned function is as the '''interval of equivalence''', because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomenon is probably due to the strong region of attraction of low [[harmonic entropy]], or the strong amplitude of the second [[harmonic]] in most harmonic instruments. As such, it is common practice to "[[Octave reduction|octave-reduce]]" intervals so that they lie within the octave.