However, I think it may best best to know relative scales by their shared key signatures for the sake of know the specific tones in each scale. The relative scale pairs are a (natural) minor scale below a major scale with the tonics separated by a minor third. You can apply the same rule for chords to scales but swap out the term root (for chords) with tonic for scales. It's nice to know that about the relationship to the keys, but it isn't absolutely necessary. In fact, you will notice that pair C & Am in C major flip their order to Am & C in A minor when we take note of the tonic and mediant chord identities in the key. The example above shows relative chord pairs - C & Am, G & Em - we don't really need to know the keys that are indicated before the Roman numerals. Relative chords are always a minor triad below a major triad with the root separated by a minor third. Is comparing the key signatures the only way to quickly find a relative chord?
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