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*The following chord is probably as dissonant as one can get in music, containing half-tones, which produce many beats inside the ear. To most people, it offers no attraction or pleasure at all. To hear this chord, just click on the picture of it.
[MIDI version]
 
I have written a passage of music [excerpt below] which contains this chord, and I believe most people will find this same chord (shown in red) will now sound as if it makes "sense" in the passage, and even contains a large element of beauty and attraction here that it did not have in isolation. It is also a chord that is common in western classical art music, and so we are very much "used to it" just as we are used to consonant chords.
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Despite its common usage and our being more or less used to it as a "suspension" chord, it will only sound consonant in a context, but not outside that context [unlike consonant chords which sound consonant both alone or within a musical context].
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To hear the passage, just click on the score shown.
[MIDI version]
 
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