There are 3 times where this terminology will come into play.
the first is in relation to a single note in the chord. a "dissonant" note is normally a 1/2 step or a tritone (augmented 4th) away from a chord tone, creating an unstable or tense sounding interval or chord. for instance if you play an Ab over a C major Chord, you will notice dissonance because Ab is one 1/2step from G (the fifth of the chord).Note that this terminology can only relate a note to a chord. that is a note cannot be dissonant in relation to nothing, it's classification is dependent on the chord it is surrounded by. a consonant note merely belongs in the chord, it is a chord tone or other note in the key signature that does not result in tension. C E G are all consonant notes in a C Chord (but they are all dissonant in an F# chord)
The second is in relation to a chord itself. if a chord has one or more dissonant notes it sounds tense/unstable and can be called a dissonant chord, where a consonant chord sounds stable.
The third is in relation to an entire piece or phrase. this is entirely arbitrary as a piece can have dozens of dissonant chords, but progress and resolve in such a way for it to sound stable. or vice versa, a piece may have many consonant chords but not resolve, or end on a dissonant chord to give an overall dissonant impression.
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Impressionism is the style of music that created a dissonant sound using uncommon scales.
Typically, when two or more pitches are sounded together, we identify the sound as "harmony". Depending on the character of this harmony, we can further describe the sound as "consonant" (meaning, "sounding good together"), or "dissonant". Consonant harmonies typically consist of the perfect intervals (unisons, octaves, fourths, and fifths), as well as thirds and sixths (major and minor). Dissonant intervals range from strong dissonances (such as the minor second and major seventh, as well as the augmented fourth), to lesser dissonances such as the minor seventh.
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Strong guitar riffs guitar feedback dissonant harmony *All of the Above (apex)
Music played in a harmonic, chordal texture.