Editing Augmented fifth (section)

{{Infobox Interval|
 main_interval_name = augmented fifth|
 inverse = [[diminished fourth]]|
 complement = [[diminished fourth]]|
 other_names = -|
 abbreviation = A5<ref name="B&S"/>|
 semitones = 8|
 interval_class = 4|
 just_interval = 25:16,<ref name="Haluska">Haluska, Jan (2003). ''The Mathematical Theory of Tone Systems'', p.xxviii. {{ISBN|0-8247-4714-3}}. Classic augmented fifth.</ref> 11:7, 6561:4096|
 cents_equal_temperament = 800|
 cents_24T_equal_temperament = |
 cents_just_intonation = 773, 782.5, 816
}}

[[Image:Augmented fifth on C.png|thumb|right|Augmented fifth on C.]]

In [[Western classical music]], an '''augmented fifth''' ({{Audio|Minor sixth on C.mid|Play}}) is an [[Interval (music)|interval]] produced by [[augmentation (music)|widening]] a [[perfect fifth]] by a [[chromatic semitone]].<ref name="B&S">Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. {{ISBN|978-0-07-294262-0}}.</ref><ref>Hoffmann, F.A. (1881). ''Music: Its Theory & Practice'', p.89-90. Thurgate & Sons. Digitized Aug 16, 2007.</ref> For instance, the interval from C to G is a perfect fifth, seven semitones wide, and both the intervals from C{{Music|b}} to G, and from C to G{{Music|sharp}} are augmented fifths, spanning eight semitones. Being augmented, it is considered a [[consonance and dissonance|dissonant]] interval.<ref>Benward & Saker (2003), p.92.</ref>

Its [[Inversion (interval)|inversion]] is the [[diminished fourth]], and its [[enharmonic]] equivalent is the [[minor sixth]].

The augmented fifth only began to make an appearance at the beginning of the [[common practice period]] of music as a consequence of composers seeking to strengthen the normally weak seventh degree when composing music in [[minor mode]]s.

This was achieved by [[chromatic scale|chromatically]] raising the seventh degree (or [[subtonic]]) to match that of the unstable seventh degree (or [[leading tone]]) of the [[major mode]] (an increasingly widespread practice that led to the creation of a modified version of the [[minor scale]] known as the [[harmonic minor scale]]).

A consequence of this was that the interval between the minor mode's already lowered third degree ([[mediant]]) and the newly raised seventh degree (leading note), previously a perfect fifth, had now been "augmented" by a semitone.

Another result of this practice was the appearance of the first [[augmented triad]]s, built on the same (mediant) degree, in place of the naturally occurring major chord.

As music became increasingly chromatic, the augmented fifth was used with correspondingly greater freedom and also became a common component of [[jazz]] chords. Near the end of the nineteenth century the augmented fifth became commonly used in a [[dominant chord]]. This would create an augmented dominant (or '''V''') chord. The augmented fifth of the chord would then act as a leading tone to the third of the next chord. This augmented '''V''' chord would never precede a minor tonic (or '''i''') chord since the augmented fifth of the dominant chord is identical to the third of the tonic chord.

In an [[equal temperament|equal tempered]] tuning, an augmented fifth is equal to eight semitones, a ratio of 2<sup>2/3</sup>:1 (about 1.587:1), or 800 [[cent (music)|cents]]. The 25:16 just augmented fifth arises in the C [[harmonic minor scale]] between E{{music|b}} and B.<ref>Paul, Oscar (1885). ''[https://books.google.com/books?id=4WEJAQAAMAAJ&q=musical+interval+%22pythagorean+major+third%22 A manual of harmony for use in music-schools and seminaries and for self-instruction]'', p.165. Theodore Baker, trans. G. Schirmer.</ref> {{audio|Just augmented fifth in scale.mid|Play}}

The augmented fifth is a context-dependent [[consonance and dissonance|dissonance]]. That is, when heard in certain contexts, such as that described above, the interval will sound dissonant. In other contexts, however, the same eight-semitone interval will simply be heard (and notated) as its [[consonance and dissonance|consonant]] enharmonic equivalent, the minor sixth.

{{Listen|filename=Augmented Fifth ET.ogg|title=An augmented fifth in equal temperament|description=An augmented fifth in equal temperament|format=[[Ogg]]}}
{{Listen|filename=Augmented Fifth JT.ogg|title=An augmented fifth in just intonation|description=An augmented fifth in just intonation|format=[[Ogg]]}}