# Harmony

## The degrees and the harmonic motions

### Description

The description and names of the degrees of the scale and of the chords built on each of them.
Whatever the degree that hosts it, each chord finds its place and color that fits.
As we have seen, we can build a 3 sound chord on every degree of a scale or mode.
For example on the C major scale: C D E F G C.
Each of these levels is represented by a number: 1, 2, 3, 4, 5, 6, 7, 8 that should not be confused with the Roman numerals which represent the kind of chord built on a degree.
Eg: C is the first degree of the major scale (small number), while C E G is the chord built on the first degree (I Roman numeral).

Each chord is represented by a number:

C E G = 5 = major triad
D F A = 5 = minor triad
E G B = 5 = minor triad
F A C = 5 = major triad
G B D = 5 = major triad
A C E = 5 = minor triad
B D F = 5 = strike 5 = diminished chord.

But some degrees can also be numbered differently. For example if we take the C major scale as a bass line (bass clef), each degree can support a specific chord.

For example here:

- The chord of the first degree (C E G) should always be numbered 5, because it gives the tonic
- The chord of the second degree can be numbered 5 (D F A) or +6 (D F B)
- The chord of the third degree must always be numbered 6 (E G C) inversion of the chord I
- The chord of the fourth degree can be numbered 5 (F A C) or 6 (F A D)
- The chord of the fifth degree (G B D) should always be numbered 5 because it is the dominant degree or dominant 7th (G B D F)
- The chord of the sixth degree can be numbered 5 (A C E) or 6 (A C F)
- The chord and the seventh degree can be numbered "strike 5" (B D F) or 6 (B D G).

In minor, it is a little different because the degrees change.
Let us take the harmonic minor mode: On the C harmonic minor mode for example, the third degree is Eb and the sixth degree: Ab.
The obtainedchords are different. For example:

- The chord of the first degree (C Eb G) = 5 = minor triad
- The chord of the second degree (D F Ab) = 5 = "strike 5" = diminished chord
- The chord of the third degree (Eb G B) = 5 = augmented chord
- The chord of the fourth degree (F Ab C) = 5 = minor triad
- The chord of the fifth degree (G B D) = 5 = major triad
- The chord of the sixth degree (Ab C Eb) = 5 = minor triad
- And the chord of seventh degree (B D F) = "strike 5" = diminished chord.

Like in major, some degrees can be numbered differently. For example:

- The chord of the first degree (C Eb Sol) should always be numbered 5, because it sets the tonic
- The chord of the second degree can be numbered "strike 5" (D F Ab) or +6 (D F B)
- The chord of the third degree must always be numbered 6 (Eb C G) inversion of the chord I
- The chord of the fourth degree can be numbered 5 (F Ab C) or +6 (F Ab D)
- The chord of the fifth degree (G B D) should always be numbered 5 because it is the dominant tone or dominant 7th (G B D F)
- The chord of the sixth degree can be numbered 5 (Ab C Eb) or 6 (Ab C F)
- The chord of the seventh degree can be numbered "strike 5" (B D F) or 6 (B D G).