MUSC 101 Music Fundamentals - Spring 2012

Unit 3a Notation 1

[Overview] [Syllabus]

Note Elements

Every note consists of three distinct elements:

  1. head
  2. stem
  3. flag or beam

Note Heads

Note heads are oval in shape and are either open (white) or closed (black). The head of the whole note is slightly larger than the heads of the quarter note and half note.

note heads picture

The whole note is drawn on a horizontal axis. The quarter and half note heads are drawn on an oblique axis.

note heads axis picture

Stems

All notes except the whole note have stems attached to the note head. The stem can be drawn up or down depending on the note's position on the staff. Up stems connect to the right side of the note head. Down stems connect to the left side of the note head.

stem direction picture

Stem Direction

For single line melodies, notes above the third line have stems down. Notes below the third line have stems up. Notes on the third line can go either way.

stem direction picture two

Sometimes a single staff contains more than one voice. In choral music the soprano and alto voices are drawn in the treble clef; soprano with stems up, alto with stems down. The tenor and bass voices are drawn in the bass clef; tenor with stems up and bass with stems down. The four individual voices can be seen clearly in this style.

SATB stem direction picture

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Stem Length

Stems are generally one octave (three and a half spaces) in length.

stem length picture

An exception to this rule occurs when notes are drawn two or more ledgers above or below staff. In this case the stem is drawn to meet the third line of the staff.

stem length picture two

Notice how much easier it is to read the second measure in the following example.

stem length good bad picture

Note Symbols and Pitch

The vertical position of the note head on the staff indicates pitch. The higher on the staff, the higher the pitch. The lower on the staff, the lower the pitch.

Note Symbols and Duration

The the type of note head and the type of flag or beam attached to the stem represents the duration of the note. The duration is relative, not absolute. The note symbol only tells you how long one note lasts compared to other notes in the piece. The note's duration is also relative to the tempo. The same note symbol might last two seconds at a slow tempo, but only last half a second at a fast tempo.

Rest Symbols

A rest indicates silence. For every note symbol there is a corresponding rest symbol. Since rests are silent, there is no need to indicate a pitch in notation. However, the rest symbol does indicate how long the silence lasts.

Note and Rest Table

This table shows the names for each of the note and rest symbols used in music.

Note
Rest
Name
whole note picture
whole rest picture
Whole
half note picture
half rest picture
Half
quarter note picture
quarter rest picture
Quarter
eighth note picture
eighth rest  picture
Eighth
16th note  picture
16th rest picture
Sixteenth
32nd note  picture
32nd rest picture
Thirty second
64th note picture
64th rest picture
Sixty fourth
128th note picture
128th rest picture
One hundred twenty eighth

In the above table, each note or rest is twice as long as the note below it, and half as long as the note above it. The concept of note durations being half as long or twice as long is central to the understanding of musical rhythm. The notes get their names from their fractional value of a whole note.

In the following figure, notes are represented as a tree. You can clearly see that

note value tree picture

In this figure, rests are represented as a tree. You can clearly see that

rest value tree picture

In the note and rest trees above, the values ranged from a whole note to a sixteenth note. If 32nd, 64th, and 128th notes and rests had been included, the tree would be much larger.

Beat Unit

The note value that gets one beat is called the beat unit. If the beat unit is assigned to the quarter note, then all other notes get a proportion of the quarter note.

Note
Rest
Name

Number notes equivalent in duration to one whole note

Number of beats using the quarter note as the beat unit

whole note picture
whole rest picture
Whole
1
4
half note picture
half rest picture
Half
2
2
quarter note picture
quarter rest picture
Quarter

4

1

eighth note picture
eighth rest  picture
Eighth
8
1/2
16th note  picture
16th rest picture
Sixteenth
16
1/4
32nd note  picture
32nd rest picture
Thirty second
32
1/8
64th note picture
64th rest picture
Sixty fourth
64
1/16
128th note picture
128th rest picture
One hundred twenty eighth
128
1/32

Any note value can be assigned to the beat unit and all other notes will be proportional to that value.

Note
Rest
Name
Half Note as beat unit

Quarter Note as beat unit

Eighth Note as beat unit
whole note picture
whole rest picture
Whole
2
4
8
half note picture
half rest picture
Half

1

(beat unit)

2
4
quarter note picture
quarter rest picture
Quarter
1/2

1
(beat unit)

2
eighth note picture
eighth rest  picture
Eighth
1/4
1/2

1
(beat unit)

16th note  picture
16th rest picture
Sixteenth
1/8
1/4
1/2
32nd note  picture
32nd rest picture
Thirty second
1/16
1/8
1/4
64th note picture
64th rest picture
Sixty fourth
1/32
1/16
1/8
128th note picture
128th rest picture
One hundred twenty eighth
1/64
1/32
1/16

Flags

Flags are attached to the note stem to indicate the duration of the note. All note values from the eighth note to the one hundred and twenty eighth note have one or more flags.

flags picture

Flag Direction

Flags always point to the right regardless of stem direction.

flag direction picture

Beams

Beams are used to group multiple flag notes into groups.

beams picture

The following two measures are identical except that the notes in the first measure are not beamed. Each measure contains four beat units. Notice how much easier it is see the four beat units in the the second measure of this example.

beams good bad picture

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Primary and Secondary Beams

Primary beams are unbroken and connect an entire musical unit. Secondary beams are used to subdivide the primary beam. The stem connects to the primary beam and passes through all secondary beams.

primary secondary beams picture

Broken Beams

A broken beam is sometimes necessary within a secondary beam group.

broken beams picture

Broken beams are always placed inside the primary beam group.

broken beams good bad picture

Dotted Notes

A dot following a note or rest increases its duration by half. The following examples assume the quarter note is the beat unit.

Name
Symbol
Equals
Equivalent
Beats
Dotted Half Note
dotted half note picture
half note plus quarter note picture
Three Quarter Notes
3
Dotted Quarter Note
dotted quarter note picture
quarter note plus eighth note picture
Three Eighth Notes
1 1/2
Dotted Eighth Note
dotted eighth note picture
eighth note plus 16th note picture
Three sixteenth notes
3/4

Dotted Rests

Name
Symbol
Equals
Equivalent
Beats
Dotted Half Rest
dotted half rest picture
half rest plus quarter rest picture
Three Quarter Rests
3
Dotted Quarter Rest
dotted quarter rest picture
quarter rest plus eighth rest picture
Three Eighth Rests
1 1/2
Dotted Eighth Rest
dotted eighth rest picture
eighth rest plus 16th rest picture
Three Sixteenth Rests
3/4

Augmentation dots are always placed in the space to right of note head. If the note head is on a line, the dot is placed in the space above the line. If note has a flag, the dot is placed to right of flag.

dot placement picture

Single, double (rare), or even triple (very rare) augmentation dots can be used. The first dot increases the note's duration by one half. The second dot increases the note's duration by one quarter. The third dot increases the note's duration by one eighth.

double dotted and triple dotted notes picture

Note Value Rhythmic Equivalent
Quarter Note Quarter note = 1 beat
Dotted Quarter Note Quarter note + Eighth note = 1 + 1/2 beats
Double Dotted Quarter Half Note Quarter note + Eighth note + 16th note = 1 + 1/2 + 1/4 beats
Triple Dotted Quarter Half Note Quarter note + Eighth note + 16th note + 32nd note = 1 + 1/2 + 1/4 + 1/8 beats

Performing Dotted Notes

When performing dotted note rhythms, it is helpful to think of the short note following the dotted note as anticipating the next beat, rather than thinking of holding the dotted note for extra time.

Listen

dotted note listening example picture

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[Overview] [Syllabus]

Revised by John Ellinger, Spring 2012.