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The Sound and the Theory

Signifying Something

Douglas Gwynn Smith

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Unit I – Fundamentals · Chapter 1.3

It's About Time

≈ 8 min 4 sections 5 figures

1.3.1Beats, Tempo, and Meter

Rhythm is the oldest music.

The Greek word rhythmos names measured movement or form and is traditionally linked to rhein, ‘to flow’; rhythm takes the stream of time and gives it shape, direction, and pattern.

The most fundamental element of rhythm is the beat - the steady, underlying pulse of a song. You already know what a beat is, even if you have never seen it written down. When you tap your foot to a song, you are tapping the beat. When a crowd claps along at a concert, they are clapping the beat. It is so instinctive, so deeply wired into human perception, that babies respond to it before they can speak.

The speed at which beats occur is called the tempo - from the Italian, meaning simply "time." A fast tempo drives a punk song or an EDM track forward with urgency; a slow tempo lets a ballad breathe, lets each moment expand. Tempo is measured in beats per minute (BPM). A song at 60 BPM has one beat per second - the speed of a ticking clock. A song at 120 BPM has two beats per second - a brisk walking pace. A song at 180 BPM is the breathless sprint of thrash metal or drum and bass. The number alone does not tell you what the music feels like - a slow groove at 70 BPM can feel enormous, while a quick waltz at 180 BPM can feel light as paper - but it gives you the skeleton of the music’s relationship to time.

Beats do not arrive in an undifferentiated stream, though. We naturally group them - some feel strong, some feel weak, and the pattern of strong and weak is what we call meter. Meter is to rhythm what punctuation is to language: it divides the flow into intelligible units, tells you where the emphasis falls, tells you where one thought ends and another begins. Without meter, a series of beats would be as monotonous as a dripping tap. With it, the same beats become a groove - because some beats lean forward and some pull back, some push and some breathe, and it is the pattern of push and breath that makes your body respond.

Here is something worth noticing, even this early in the book: a beat that arrives exactly where you expect it creates satisfaction. A beat that arrives slightly before or after where you expect it creates tension - a small, delicious friction between what your body anticipates and what your ears receive. That friction is the secret engine of nearly everything that makes popular music feel alive. We will return to it. It has a name. For now, just notice it.


1.3.2Simple Meter

Think of the pulse as an endless line of evenly spaced beats. Meter gives that line a repeating pattern by grouping the beats. Groups of two give us duple meter; groups of three, triple meter; and groups of four, quadruple meter.

Try tapping an even pulse and counting in twos, then threes, then fours. The pulse need not change speed: what changes is how soon you return to one.

These meters are called simple when each beat normally divides into two equal parts. Triple means three beats in the group; it does not mean three parts within each beat.

For our first examples, we use the time signatures 2/4, 3/4, and 4/4. The upper number tells us how many beats are in each group. The lower 4 tells us that a quarter note represents one beat. We will look at that note and its divisions in the next section. For now, listen for groups of two, three, or four in the interactive example below.

Our example groups the beats in fours: 4/4, also called common time. In notation, the groups are called measures, or bars, and are separated by vertical bar lines. Each bar here contains four quarter-note beats.

We often know where the beginning of a bar is without ever thinking about how we know. It is one of those invisible things in music that we recognise through experience. Metric accent is the relative weight we hear in a beat because of its place in the repeating pattern. The downbeat, the first beat of the bar, gives us that sense of beginning.

In 4/4, beat 1 has the greatest metric weight, beat 3 has a secondary weight, and beats 2 and 4 are weaker. This is not a ranking of how loudly the notes must be played. The downbeat can still be felt when nobody plays a note on it.


1.3.3Rhythmic Values: Notes and Rests, Beams, Flags, Dots, Ties

The beat is the pulse, but the sounds we hear - melodies, chords, drum hits - are not all the same length. Some last a full measure. Some last a fraction of a beat. The notation system handles this with an elegant hierarchy: each rhythmic value is exactly half of the one above it, like a set of Russian nesting dolls where each doll is precisely half the size of the one it sits inside.

Notes and their matching rests

ValueNoteRestQuarter-note
beats
Whole4 beats
Half2 beats
Quarter1 beat
Eighth½ beat
Sixteenth¼ beat
Durations shown here use a quarter-note beat. The whole rest hangs below a line; the half rest sits above one.

The whole note - an open, stemless oval - fills an entire measure in 4/4. Four beats of sustained sound. It is the long exhale, the held chord, the note that rings while everything else moves around it.

The half note takes half of that: two beats. It looks like a whole note that has grown a stem, as though the act of dividing it required a handle.

The quarter note takes one beat - one tap of the foot, one pulse of the metronome. It is the default unit of time in 4/4, the note value that is the beat. It looks like the half note, but filled in - solid, compact, decisive.

The eighth note halves the quarter note: two eighth notes fit inside one beat. It has a single flag when written alone, but when eighth notes travel in groups, their flags merge into a horizontal beam connecting their stems - a visual signal that they belong together, that they are subdivisions of the same beat. To count eighth notes, say the beat numbers and fill each gap with "and": 1 & 2 & 3 & 4 &. The numbers land on the beats; each "and" falls exactly halfway between them.

The sixteenth note halves the eighth note: four sixteenth notes per beat, fast and chattering. Two flags, or two beams. This is the subdivision that drives a fast hi-hat pattern, the rapid strumming of a funk guitar, the machine-gun snare rolls of a fill. Counting sixteenths adds two more syllables to each beat: 1 e & a, 2 e & a, and so on ("one-ee-and-uh"). The "Dividing the beat" example later in this section counts along with you.

The same time, divided differently

1 whole
2 halves
4 quarters
8 eighths
16 sixteenths
Every row lasts the same time: 1 whole = 2 halves = 4 quarters = 8 eighths = 16 sixteenths.

For every note value, there is a corresponding rest - a symbol that means silence of that duration. Rests matter just as much as notes. A well-placed rest is not the absence of music; it is the negative space that gives the positive space its shape. The brief silence between a snare hit and the next downbeat is part of the groove, not an interruption of it.

A dot after a note adds half of that note's original value. A half note lasts two quarter-note beats, so a dotted half note lasts two plus one: three beats. A dotted quarter lasts one plus a half: one and a half beats. The same rule applies to a dot after a rest.

A dot adds half

=+

3 beats = 2 + 1

=+

1½ beats = 1 + ½

=+

¾ beat = ½ + ¼

Durations here use a quarter-note beat.

It is a small adjustment, but it is everywhere in music: dotted rhythms create the lilt of compound meter and many other characteristic long-short patterns, while the swing of a slow blues uses a flexible feel that notation only approximates.

A tie is a curved line that connects two notes of the same pitch, combining their durations into a single sustained sound. A dot cannot cross a bar line – it only lengthens a note inside its own bar – but a tie can, holding a note from the end of one measure into the beginning of the next, bridging the gap between two rhythmic containers. Ties are how notation handles durations that do not fit neatly into the mathematical divisions of the measure. They are the duct tape of rhythmic notation, and they are indispensable.

A tie keeps the sound going

=

2 beats = 1 + 1

=

Across the bar line: 2 + 1 = 3 beats

Same pitch, one continuous sound. Do not play the second note again.

1.3.4Putting it together: the backbeat

In the simple rock beat below, the bass drum, or kick, marks beats 1 and 3. It gives the pattern its grounding: it sets the scene rather than decorating it. The snare then comes in prominently on beats 2 and 4. This is the backbeat - an audible emphasis on metrically weaker beats.

That is the point of the relationship. The snare does not turn beat 2 into the beginning of the bar; it brings out a weaker position within a pattern whose beginning we already feel. Try feeling that relationship as you move to the music: the grounding of the downbeat, the response of the backbeat, and the return to the next downbeat.

You have learned how pitch lives on the page. Now you know how time lives there too. Next: what happens when pitch and time meet a ruler.

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Companion essay: Beethoven, Upside Down, in Stomping Boots

The Sound and the Theory
Unit I - Fundamentals
Unit II - Diatonic Practices
  • 2.2 Harmony
  • 2.3 Primary Chords & the Dual Paradigms
  • 2.4 Melody and Phrasing
  • 2.5 Weak Beat NCTs
  • 2.6 Strong Beat NCTs
  • 2.7 Chord Schemata
  • 2.8 Modes
  • 2.9 Basic Blues
Unit III - Chromatic Practices
  • 3.1 Secondary Dominance
  • 3.2 Diminished 7th Chords
  • 3.3 Extended Chords
  • 3.4 Modal Mixture
  • 3.5 Chromatic Mediants & Line Clichés
  • 3.6 Parallel Pentatonicism
  • 3.7 Advanced Blues
Unit IV - Advanced Concepts
  • 4.1 Echoes of El Andalus
  • 4.2 Altered Dominants
  • 4.3 Aug 6th & Tritone Subs
  • 4.4 Enharmonic Dim 7ths
  • 4.5 Advanced Modulation
  • 4.6 Equal Division of the Octave
  • 4.7 Advanced Rhythm & Meter
  • 4.8 Advanced Form
  • 4.9 Omnibus Progressions
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