Teach Yourself Music Theory – 32.) Building Triads from Scales

Continuing with our topic of triads, we are going to be discussing what and which triads are built from scales… covering major, natural, harmonic, and melodic minor.

Beside the lead-sheet note note names, the Roman numeral figured-bass and triad quality remains the same from each respective scale regardless of starting pitch.

Let’s start with the major scale:

Building triads on each note, we get what we have above. 3 major triads, 3 minor triads, and 1 diminished triad. Chords I , IV , and V will always be major in a major key.

Now, natural minor:

We have the same amount of major, minor, and diminished triads… but they are in a different order.

As for harmonic minor:

With the inclusion of the raised leading tone, we see a quality of the chords change. Instead of v being minor, V is major in harmonic minor. Also, we have two diminished chords.

Finally, melodic minor:

With two raised pitches, we get another completely different group of triads. Now, the ii chord is minor… but the vio chord is diminished.

NOTE: the “B” symbol in the pictures means “flat” just like the “b” sign.

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Teach Yourself Music Theory – 23.) Relative Versus Parallel Keys

We have talked about this before when covering major and natural minor scales. So be sure to review those sections if these concepts seem unfamiliar or difficult.

Relative keys, are two key that share the same number of accidentals. We know that the key of D Major and the key of B minor are relative keys because they both have the same number of accidentals added to their key signature (two sharps).

We figured this out before that in a major key, the minor key (where the natural minor scale is derived from) is a m3 interval below the tonic. Vice-versa, in a minor key we can tell that the relative major is a m3 above the tonic.

Parallel keys are ones that don’t necessarily (if ever) share the same accidentals, but share the same tonic.

Let’s take a look at the two parallel keys of C major and C minor:

Notice how they don’t have the same accidentals, but they do share the same tonic of C. More to come on how to use parallel keys in composition, but more now this is learning on how to distinguish between relative and parallel keys.

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Teach Yourself Music Theory – 12.) Pitch-Class Collections and Major Scales

Read, analyze, play, and/or listen to this compositional segment below:

Now, write out all of the note letter-names that you see where used in this small composition.

You should get (in order of appearance): { A, C#, E, F#, D, B, G#}

What we have written above is the composition’s pitch-class collection, or a collection of all the pitches listed by their letter-names used.

Time to introduce a new concept. A scale, which is a pitch-class collection but organized in a ascending/descending manner in an alphabetized way.

Which… using the same example above, if we put the pitch-class collection in an alphabetical order, it would be: {A, B, C#, D, E, F#, G#}

So, what kind of scale is this? Well, to spoil the answer – this is a major scale. But how can we tell? Just look at the intervallic distances between the notes.

A major scale is made up of a pattern of notes set apart from each other in an ascending manner of whole-step, whole-step, half-step, whole-step, whole-step, whole-step, half-step (which returns to the starting pitch). You can also think of this as M2-M2-m2-M2-M2-M2-m2.

So now, let’s take a look back at our pitch-class collection:

Does it match the pattern of the major scale interval formula? Yes it does!

Try now for an exercise by taking any starting pitch and see if you can build a major scale of your own!

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