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#REDIRECT [[Key signature#Conventions]]
'''Impossible and theoretical keys''' are really one and the same; basically, they are keys that have no possible conventional [[key signature]].
For example the key of D flat minor cannot logically exist, as its [[key signature]] would have to contain a [[double flat]] - an impossibility in conventional notation. In [[equal temperament]], the (real) key of C sharp minor is the only possible way that this key can be notated, as C sharp logically equals D flat. In the same way, there are 6 keys that are duplicated by this relationship:
* 1. C sharp and D flat majors
* 2. D sharp and E flat minors
* 3. F sharp and G flat majors
* 4. G sharp and A flat minors
* 5. A sharp and B flat minors
* 6. B and C flat majors


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In the same way that e.g. C sharp equals D flat, C sharp also sounds exactly the same as D flat; hence C sharp major sounds exactly the same as D flat major on the ear.
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The difference between these two is only distinguished by the obvious difference in appearance on a page of printed music, but also the implications of such a key as a secondary key to the primary key of the piece of music in question; that is to say that if a piece in F minor were to [[modulate]] to its [[sub-mediant]], D flat major, no confusion would arise as whether to use C sharp or D flat majors: F minor and D flat major both have flats in their [[key signature|key signatures]] anyway.
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As a product of these 6 duplicated keys, there are 6 keys which are only theoretical and cannot be notated properly in a conventional key signature - there are six perfectly common real keys that are their respective equals in [[pitch]] and mood:
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* 1. D flat minor (=C sharp minor)
* 2. D sharp major (=E flat major)
* 3. G flat minor (=F sharp minor)
* 4. G sharp major (=A flat major)
* 5. A sharp major (=B flat major)
* 6. C flat minor (=B minor)
However, these keys, along with all keys for that matter, can exist in a different form using the 12 [[musical mode|modes]] as a basis for their notation in a (modal) key signature e.g. the key of D flat minor could exist in the Dorian mode, using the B flat to start with in the key signature and taking the form of the key signature of A flat minor.

Further to this there are six other keys that are totally impossible to notate either in a key signature or using any of the modes - there are six perfectly common real keys that are their respective equals in pitch and mood:
* 1. B sharp major (=C major)
* 2. B sharp minor (=C minor)
* 3. E sharp major (=F major)
* 4. E sharp minor (=F minor)
* 5. F flat major (=E major)
* 6. F flat minor (=E minor)

[[Category:Musical notation]]

Latest revision as of 15:00, 2 June 2024