Music Theoryafter A. Danhauser
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III.7Part III, Tonality

Key Signatures with Flats

Let's finish with flat key signatures. You'll learn to read one to find the key, and to write the key signature of a given key.

6 min8 questionsDanhauser § 130 to 133

Like sharps, the flats of a key are placed right after the clef, in their order, on the lines or spaces of the notes they alter. They form a flat key signature, and their effect lasts for the whole piece, in every octave, unless the key signature changes.

Sheet Music
Key signatures from 1 to 7 flats, in the order B E A D G C F.

From key signature to key

The last flat always falls on the subdominant. So the tonic is the note a perfect fourth below the last flat.

  • With one flat, Bb, the tonic is F, a perfect fourth below.
  • With five flats, the last one Gb, the tonic is Db, a perfect fourth below.

The next-to-last flat rule

Even simpler: the next-to-last flat in the key signature names the tonic. With four flats, Bb, Eb, Ab and Db, the next-to-last is Ab, so the key is Ab major.

This follows from the fact that flats are added by rising fourths: if the last flat is the subdominant, the tonic lies a fourth below it, exactly where the next-to-last flat sits.

From key to key signature

The last flat falls on the 4th degree. For example, take the tonic Db. The last flat is a fourth above it, Gb. In the order of flats, Gb is the 5th, so there are five flats in the key of D flat: Bb, Eb, Ab, Db and Gb.

Sheet Music= 120DbEbFGbAbBbCDb
Db major and its five flats.
WorkshopKey Signature QuizFull screen
Practice with flat and sharp key signatures mixed together.
Which MAJOR key has this key signature?

Method: with sharps, the major tonic is a half step above the last sharp; with flats, it is the second-to-last flat (F major for one flat). The relative minor is a minor third lower.

Exercisein the method's spirit

1. Find the keys indicated by key signatures of 2, 3, 6 and 7 flats.
2. Give the key signatures of F, C flat, E flat and G flat major.

Before moving on, check that flat key signatures are clear with these few questions.

Check your understanding

8 questions
1.
Which major key does this key signature indicate?
Sheet Music
2.
Four flats: which major key?
3.
How many flats are in the key signature of Db major?
4.
The key signature of Cb major has:
5.
The last flat of a key signature always falls on:
6.
Why does the next-to-last flat rule not work for F major?
7.
Which flats make up the key signature of Gb major?
8.
The last flat of the key signature is Eb. What is the major key?

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