Octave (interval region): Difference between revisions

Line 1:

A '''perfect octave''' ('''P8''') or '''octave''' ('''8ve''') is an [[interval]] that is approximately 1200 [[cent]]s in [[Interval size measure|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]].

A '''perfect octave''' ('''P8''') or '''octave''' ('''8ve''') is an [[interval]] that is approximately 1200 [[cent]]s in [[Interval size measure|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 the interval of equivalence, or [[equave]], 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-reduce]] intervals so that they lie within the octave.

@@ Line 1: / Line 1: @@
 {{About|the interval region|the octave as a just ratio|2/1}}
-A '''perfect octave''' ('''P8''') or '''octave''' ('''8ve''') is an [[interval]] that is approximately 1200 [[cent]]s in [[Interval size measure|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]].
+A '''perfect octave''' ('''P8''') or '''octave''' ('''8ve''') is an [[interval]] that is approximately 1200 [[cent]]s in [[Interval size measure|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 the interval of equivalence, or [[equave]], 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-reduce]] intervals so that they lie within the octave.