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augmented eleventh
Inverse	diminished fifth
Name
Abbreviation	A11
Size
Semitones	18
Interval class	6
Just interval	45:16
Cents
Equal temperament	1800.0
Just intonation	1790.2

perfect eleventh
Inverse	perfect fifth
Name
Other names	Compound fourth
Abbreviation	P11
Size
Semitones	17
Interval class	1
Just interval	8:3
Cents
Equal temperament	1700.0
Just intonation	1698.0

In music theory, an eleventh is a compound interval consisting of an octave plus a fourth. A perfect eleventh spans 17 and the augmented eleventh 18 semitones, or 10 steps in a diatonic scale. For instance, the interval between C₄ and F₅ (in scientific pitch notation) is a perfect eleventh.

${ \override Score.TimeSignature #'stencil = ##f \relative c' { \time 4/4 \set Score.tempoHideNote = ##t \tempo 1 = 20 <c f'>1 } }$

Since there are only seven degrees in a diatonic scale, the eleventh degree is the same as the subdominant (IV).^[1]

An eleventh chord is the stacking of five thirds in the span of an eleventh. In common practice tonality, it usually had subdominant function as minor eleventh chord on the second degree (supertonic) of the major scale.

The quarter tone scale offers an alternative eleventh of 1650 cents, which is very close to the just interval 11:4, the undecimal eleventh (1651.3 cents).

References

^ Benward, Bruce; Saker, Marilyn (2003). Music: In Theory and Practice, Vol. I. McGraw-Hill Education. ISBN 978-0-07-294262-0.

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[1] Benward, Bruce; Saker, Marilyn (2003). Music: In Theory and Practice, Vol. I. McGraw-Hill Education. ISBN 978-0-07-294262-0.

[1]

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Eleventh (interval)

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References

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