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[[Image:Eleventh chord C11 chord.png|thumb|left|Dominant eleventh chord, C<sup>11</sup>, with the third included. V<sup>11</sup> in F major.<ref>Kostka & Payne (1995). ''Tonal Harmony'', p.431. Third Edition. {{ISBN|0-07-300056-6}}.</ref> {{Audio|Eleventh chord C11 chord.mid|Play}}]]
A perfect eleventh creates a highly dissonant [[ninth|minor ninth]] interval with the [[third (chord)|major third]] of major and dominant chords. To reduce this dissonance
Another solution to this dissonance is altering the third or eleventh factor of the chord to turn the problematic minor ninth interval within the chord into a major ninth.<ref name="Miller">Miller, Michael (2004). ''Complete Idiot's Guide to Solos and Improvisation'', p.52. {{ISBN|978-1-59257-210-6}}.</ref> A dominant eleventh chord can be altered by lowering the third by a semitone for a minor eleventh chord, or by raising the eleventh by a semitone for a dominant sharp eleventh chord, implying the [[lydian dominant]] mode.
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