dave yarwood
Writing music with Alda #3: flats, sharps, and key signatures

date:

November 11, 2019

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This is the third installment in a series where I guide you through learning how to write music using Alda. So far, we’ve covered:

#1: Setup and first notes
#2: Rhythm and meter

White keys and black keys

So far in this series, we’ve been working with 7 notes:

C D E F G A B C

On a piano keyboard, these are the white keys.

You may have noticed that there are also black keys:

These black keys are the notes in between the white keys. If you look closely, you’ll notice that some of the white keys are right next to each other. These are the notes B and C, and E and F.

With the exception of those notes, every other pair of white keys has a black key in between them:

The distance from each note to the next note – the white or black key immediately to the right on the keyboard – is called a semitone or a half-step. So, a whole step equals two semitones.

Flats and sharps

The black keys in the diagram above are each labeled with two correct names for the note that you hear when you play that key. For example, the black key between C and D is labeled C# (C-sharp) and Db (D-flat).

A sharp increases the pitch of a note by one semitone.

A flat decreases the pitch of a note by one semitone.

So, C# is one semitone higher than C. And Db is one semitone lower than D. They sound exactly the same:

piano: c+ d-

You might be tempted to say that C# and Db are “the same note.” This is not exactly true; there are situations where it is considered more correct to use one vs. the other. A more correct (and fancier) statement is that C# and Db are two different enharmonic spellings of the same pitch.

The chromatic scale

The chromatic scale is a scale that includes every one of the 12 notes that make up an octave. To play the scale, you start on a note (any note) and keep going up in semitones until you reach that same note in the next octave up.

Typically, when you’re moving upward, you spell the notes using sharps instead of flats, and when you’re moving downward, you spell the notes using flats.

To illustrate this, here is a chromatic scale going up and then down:

piano:
  o4
  c8 c+ d d+ e f f+ g g+ a a+ b >
  c < b b- a a- g g- f e e- d d- c2

Notice two things here:

  1. We use sharps on the way up (C, C#, D, D#, …) and flats on the way down (B, Bb, A, Ab, …).

  2. There is no flat or sharp note in between E and F, or in between B and C. Remember that when you look on a keyboard, these white keys are right next to each other, with no black keys in between them.

You might now be tempted to think that “there is no such thing as B#, E#, Cb or Fb.” We rarely see these notes, but they do, in fact, exist! They are just different enharmonic spellings of C, F, B, and E, respectively.

piano:
  o4
  b+ c
  e+ f
  c- b
  f- e

So, why would you write B# when you could write C instead? For you to fully understand this, I would need to go into a deeper explanation than I have space for in this post. I promise that I’ll get to it in a future post, but for now, just keep in mind that B#, E#, Cb and Fb are all real notes, you just aren’t likely to spell them that way, most of the time.

Key signatures

Now that we know how to write all of the notes (not just the white keys), we can write music in different keys other than C major / A minor.

In Writing music with Alda #1, I alluded to the fact that the C major and A minor scales are played by only using the white key notes:

piano:
  # C major
  o4 c8 d e f g a b > c2

  # A minor
  o3 a8 b > c d e f g a2

These two scales have the same key signature. A key signature is a collection of sharps and flats that always need to be added to certain notes, in order for you to be playing in that key.

C major and A minor have an “empty” key signature, meaning that none of the notes should have any sharps or flats.

Now, let’s learn about a couple more keys.

In the key of D major, the key signature has 2 sharps. When you tell a classically trained musician that a key signature has “2 sharps,” they will probably know exactly which two notes should have a sharp: F and C.

Here is a D major scale. Note that instead of F and C, we have F# and C#:

piano:
  o4 d8 e f+ g a b > c+ d2

As another example, here is an F major scale. The key signature for F major has 1 flat, so every B becomes Bb:

piano:
  o3 f8 g a b- > c d e f2

Exercises

  1. Play every “black key” note, spelling each note with a flat.

  2. Play every “black key” note, spelling each note with a sharp.

  3. Play a chromatic scale, starting on an F in whatever octave you want, going up to the F in the next octave up, then coming back down to F.

  4. Play an E major scale. The key signature of E major has 4 sharps: F, C, G, and D.

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