Archive for January, 2008

Scale fingerings

Wednesday, January 30th, 2008

These are suggested fingerings for playing the major and natural minor scales. You can play the scales all the way up and down the keyboard using these fingerings.

Finger numbers (left and right hand):

1 Thumb
2 Index finger (pointer)
3 Middle finger
4 Ring finger
5 Pinky

Note that the pinky (finger 5) isn’t used in the tables below. You can use it for the final note of the scale if you wish.

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Roman numerals (and the number system)

Monday, January 28th, 2008

We have seen that it is possible to build chords on the tones of the major or minor scale (the diatonic chords).

Often, these chords are not referred to by their name, but by a number. And not a regular number like 1 or 6, but with Roman numerals.

In case you forgot all about them, here are the Roman numerals 1 to 7:

1 2 3 4 5 6 7
I II III IV V VI VII

If we were to write the diatonic chords from the C major scale using Roman numerals, it would look like this:

C Dm Em F G7 Am Bdim
I ii iii IV V7 vi vii°

Notice the following:

  • Major chords (C and F) are written using capitals.
  • Minor chords (Dm, Em and Am) are in lower-case.
  • The dominant-7 chord (G7) is written as V7.
  • The diminished chord (Bdim) is written as vii°

Occasionally, you may also see the following notation:

C Dm Em F G7 Am Bdim
I IIm IIIm IV V7 VIm VII°

Why use these Roman numerals instead of the chord names? Because using the numbers allows us to talk about chords and chord progressions independently of the key.

For example, the chord progressions C F G7 C and F Bb C7 F can both be written as I IV V7 I.

The first is in the key of C and the second in the key of F, but otherwise they are identical:

Roman numerals: I ii iii IV V7 vi vii°
Key of C: C Dm Em F G7 Am Bdim
Key of F: F Gm Am Bb C7 Dm Edim

One advantage of using numbers instead of chords is that it becomes easy to transcribe a piece from one key to another.

Example. Here is the beginning of Misty in the key of C:

        C          Gm            C7          F
Look at me, I'm as helpless as a kitten up a tree

Suppose you want to play it in another key, say G. First, you replace the chord names with Roman numerals:

        I          Vm            I7          IV
Look at me, I'm as helpless as a kitten up a tree

Then you look up the chords for the new key and fill them in:

        G          Dm            G7          C
Look at me, I'm as helpless as a kitten up a tree

The principle works the same for the chords from a minor scale, although the symbols are slightly different (because the chords have different qualities).

For example, the key of A minor:

Am Bdim C Dm E7 F G7
i ii° III iv V7 VI VII7

It is also possible to use Roman numerals to describe chords that are not diatonic. In other words, chords that are borrowed from other keys.

For example, the chord bIII is the 3rd chord (III), in major (uppercase letters), lowered by a half-step (b). In the key of C, this would be the Eb major chord.

You may also see a sharp symbol combined with a Roman numeral: #IV in the key of C is the F# major chord.

It is not uncommon to add a qualifier to the Roman numeral. Examples: IVmaj7, II7, #IVdim7. To find the real chord, substitute the Roman numeral for the n-th chord from the scale.

You may have heard of the Nashville Number System. This is the same principle, although it works with plain-old numbers instead of Roman numerals. So instead of II-V-I you’d see 2-5-1, but they both mean the same thing.

Solfege is yet another system, except that it doesn’t use numbers, but syllables:

1 2 3 4 5 6 7
Do Re Mi Fa Sol La Ti

And finally, each of the diatonic chords can also be given a name that more-or-less describes its function. Different chords have different functions in their key. I’ll keep the details for a future article, so I’ll simply give you the list here:

1 Tonic
2 Supertonic
3 Mediant
4 Subdominant
5 Dominant
6 Submediant
7 Leading tone (or subtonic)

So now you know that when people talk about the “I-chord” or “tonic”, they mean the first chord from the key.

Online piano courses

Saturday, January 26th, 2008

There are dozens of courses on the internet these days that promise to teach you how to play the piano. I have in the past few years bought a few of those courses myself, including:

  • Pattern Piano and Keyboard, David Sprunger
  • The Secrets to Playing Piano by Ear, Jermaine Griggs
  • How to Dress up Naked Music on the Piano, Duane Shinn
  • The Sudnow Method, David Sudnow
  • Piano Magic, Michael Anderson
  • Quiescence Music, Edward Weiss

Here is my opinion on each of these courses:

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Key signatures

Thursday, January 24th, 2008

The “key” of a piece determines what tones can be used by the melody and which chords will harmonize the melody.

There are 12 major keys and 12 related minor keys.

The notes that can be used are given in the key signature. In written music, you can find the key signature on the left of each line.

The key signature consists of one or more sharps or flats, or none at all. For example, if you see the following bit of music:

Piece in Bb major or G minor

This means the scale for this piece has two flat tones (black keys) and five regular tones (white keys). Specifically, B should be played as Bb and E should be played as Eb. This is either the key of Bb major or G minor.

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Diatonic chords

Tuesday, January 22nd, 2008

The key that a piece is written in does not just determine the possible melody tones, but also the chords that can be used.

The diatonic chords are the ones most likely to make an appearance. These are the chords that can be built on the tones of the key’s scale. They do not “borrow” tones from other scales.

Let’s assume we’re playing in the “key of C”. That means we’re using the tones from the C major scale.

The C major scale is: C D E F G A B C

We can build a three-note chord — also called a “triad” — on each of these tones.

This is the formula: We pick a root tone to start from, then skip one to find the second chord tone, then skip another to find the last chord tone.

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The three building blocks of music

Sunday, January 20th, 2008

Music is made up of three building blocks that continuously interact with each other:

  • melody
  • harmony
  • rhythm

On the piano, melody is most often played in the right hand. It is the most recognizable part of a piece: this is the part that people remember and hum along with.

Melody is often played a little louder than the other parts of the arrangement to make it stand out more.

Melody is also flexible. It can be “distorted” in many ways and still be recognizable as a particular song. Jazz improvisers take advantage of this principle all the time.

Harmony is the chords. On the piano, we play harmony mostly in the left hand, but sometimes we put harmony tones in the right hand as well.

Melody is usually the highest tone and harmony tones are filled in below that. The most important harmony tone is the lowest tone: the bass.

Harmony is also fairly flexible: you can harmonize the same melody in many different ways, although certain chords are easier on the ear than others.

Rhythm keeps music from becoming boring. It’s the thing you can dance to. A drummer plays nothing but rhythm but on the piano we have to put the rhythm into the melody and the harmony.

For us, rhythm is the difference between short tones and long tones, and where you put the accents on those tones.

There you have it. Master those three areas of making music and nothing will be able to stop you! :-)

Relative major and relative minor

Saturday, January 19th, 2008

This is the major scale of C: C D E F G A B C

This is the natural minor scale of A: A B C D E F G A

Notice anything? That’s right, they both use the same tones!

When the tones in a piece come primarily from the C major scale, we say that the piece is “in the key of C major” or just “in the key of C”.

When the tones in a piece come form the A natural minor scale, we say that the piece is “in the key of A minor”.

Since both of these scales contain the same tones, the key signature of both the C major key and the A minor key are identical: white keys only, no sharps or flats.

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Inverting intervals

Thursday, January 17th, 2008

We have already looked at intervals and you now know that going from C up to G, for example, is called a “perfect fifth” interval.

But you can also go from C down to G. What is that interval called? Hint: it’s not a fifth. :)

As before, you can count the number of half-steps going down from C to G. Or you can take the elaborate method of counting the number of notes and adjusting for sharps and flats.

But there is another way: you can invert the interval from C-up-to-G to get the interval from C-down-to-G.

Here is the rule: inverted interval = 9 - interval

Fortunately, that is not too heavy on the mathematics. So C-down-to-G is: 9 - 5 = a 4th.

The 5th was perfect. Is our 4th also “perfect”?

A few more rules:

  • Perfect intervals remain perfect.
  • Major intervals become minor.
  • Minor intervals become major.
  • Augmented becomes diminished.
  • Diminished becomes augmented.

So inverting a perfect fifth indeed results in a perfect fourth, and vice versa.

Another example: the interval C up to A. This is a major sixth. If we invert this interval, we get 9 - 6 = 3 and major becomes minor. So C-down-to-A is a minor third.

To find an interval in the opposite direction, you can also reverse the notes. Instead of doing C-down-to-G you can consider this G-up-to-C, which is identical. Likewise, C-down-to-A is equivalent to the interval A-to-up-C.

Fun, fun, fun. :)

The minor scales

Wednesday, January 16th, 2008

We have already seen the major scale and how it is constructed. Now it is time to talk about another important scale: the minor scale. In fact, there is not just one minor scale, there are three.

The natural minor scale

The natural minor scale is the “original” minor scale and the foundation for the two other minor scales.

The interval formula for this scale is: W H W W H W W

As always, W means a whole-step and H is a half-step.

If we choose the note C as our starting point and apply this formula, we get the scale of C minor: C D Eb F G Ab Bb C

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Why learn chords?

Monday, January 14th, 2008

Musicians can be divided into two groups: those who read sheet music and those who play using the “chord method”.

If you’re a sheet music player, you may think that you don’t need to know about chords. However, I believe that understanding how chords are used in a composition will make it much easier for you to read and understand the piece.

Even for classical music! Just like today’s songwriters, composers of classical music used chords to create their harmonies. Chords are the foundation of all our music.

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