Music Theoryafter A. Danhauser
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II.1Part II, Scales and Intervals

The Diatonic Scale: Whole Steps and Half Steps

You'll discover how the major scale is built, and where its whole steps and half steps fall.

7 min7 questionsDanhauser § 66 to 69

Welcome to Part 2. Let's start with the diatonic scale. It is a series of sounds arranged in conjunct motion, that is, stepwise, from each degree to its neighbor, according to the laws of tonality, which you'll study in Part 3 (§ 66).

The seven notes C, D, E, F, G, A, B, plus an eighth sound, form a diatonic scale. That eighth sound is simply the first note repeated an octave higher. The top C can also become the first note of a new, higher series.

Sheet Music= 88CDEFGABCDEFGABC
Two C scales linked together: the top C of the first one starts the second.

Each note of the scale is called a degree.

Whole step and half step

Here's the important part: the degrees are not evenly spaced. Between some of them, the distance is larger, and this is the whole step, called a tone in the UK. Between others, it is smaller, and this is the half step, or semitone (§ 67).

In this scale, called the major scale, the whole steps lie between degrees 1 and 2, 2 and 3, 4 and 5, 5 and 6, and 6 and 7. The half steps lie between degrees 3 and 4, and between degrees 7 and 8 (§ 68).

12whole3whole4half5whole6whole7whole8half
C major scale: the label above each note gives its distance from the previous note.
WorkshopOnline Piano Keyboard with Note NamesFull screen
Find the two natural half steps: there's no black key between E and F, or between B and C.
Middle C = C4 (French: do3)
C4
D
E
F
G
A
B
C5

Press a key: you hear the sound and see its name and its place on the staff.

WorkshopScale BuilderFull screen
Listen to the major scale and its degrees.
CIDIIEIIIFIVGVAVIBVIIC
Steps: 1 1 ½ 1 1 1 ½ (1 = whole step, ½ = half step, 1½ = augmented second)
Scale
C major
Key signature
no sharps or flats
Degrees
1. tonic · 2. supertonic · 3. mediant · 4. subdominant · 5. dominant · 6. submediant · 7. leading tone
Tetrachords
C D E F | G A B C: two identical tetrachords (whole, whole, half) a whole step apart
Exercisein the method's spirit

Write out the C major scale and show between which degrees the whole steps and half steps fall.

You've seen that the half step is the smallest distance in the scale. In the next lesson, you'll find out that there are two kinds of half steps. First, the quiz.

Check your understanding

7 questions
1.
How many whole steps and half steps does the major scale contain?
2.
Between which degrees are the half steps of the major scale?
3.
In the C major scale, which pair of notes forms a half step?
4.
What is a degree?
5.
The eighth sound of the scale is:
6.
What distance separates these two notes?
7.
The diatonic scale moves by:

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