A perfect fifth is 7 semitones from the root note. A perfect forth is 5 semitones from the root note. If we inverted the perfect forth (i.e. lower it one octave and drops it below the root note), the perfect forth and the root note will form a perfect fifth interval. Likewise if we invert the perfect fifth, we will get a perfect forth interval with the root note.
Therefore, the 3 notes have very strong relationship.
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