Sounds, including music, can be barely audible, or loud enough to hurt your ears, or anywhere in between. When they want to talk about the loudness of a sound, scientists and engineers talk about amplitude. Musicians talk about dynamics. The amplitude of a sound is a particular number, usually measured in decibels, but dynamics are relative; an orchestra playing fortissimo sounds much louder than a single violin playing fortissimo. The exact interpretation of each dynamic marking in a piece of music depends on:

Traditionally, dynamic markings are based on Italian words, although there is nothing wrong with simply writing things like "quietly" or "louder" in the music. Forte means loud and piano means quiet. The instrument commonly called the "piano" by the way, was originally called a "pianoforte" because it could play dynamics, unlike earlier popular keyboard instruments like the harpsichord and spinet.

Figure 1.89. Typical Dynamic Markings

When a composer writes a forte into a part, followed by a piano, the intent is for the music to be loud, and then suddenly quiet. If the composer wants the change from one dynamic level to another to be gradual, different markings are added. A crescendo (pronounced "cresh-EN-doe") means "gradually get louder"; a decrescendo or diminuendo means "gradually get quieter".

Figure 1.90. Gradual Dynamic Markings

Here are three different ways to write the same thing: start softly (piano), gradually get louder (crescendo) until the music is loud (forte), then gradually get quieter (decrescendo or diminuendo) until it is quiet (piano) again.

A composer may want a particular note to be louder than all the rest, or may want the very beginning of a note to be loudest. Accents are markings that are used to indicate these especially-strong-sounding notes. There are a few different types of written accents (see Figure 1.91), but, like dynamics, the proper way to perform a given accent also depends on the instrument playing it, as well as the style and period of the music. Some accents may even be played by making the note longer or shorter than the other notes, in addition to, or even instead of being, louder. (See articulation for more about accents.)

Figure 1.91. Common Accents

The exact performance of each type of accent depends on the instrument and the style and period of the music, but the sforzando and fortepiano-type accents are usually louder and longer, and more likely to be used in a long note that starts loudly and then suddenly gets much softer. Caret-type accents are more likely to be used to mark shorter notes that should be stronger than unmarked notes.

The word articulation generally refers to how the pieces of something are joined together; for example, how bones are connected to make a skeleton or syllables are connected to make a word. Articulation depends on what is happening at the beginning and end of each segment, as well as in between the segments.

In music, the segments are the individual notes of a line in the music. This could be the melodic line, the bass line, or a part of the harmony. The line might be performed by any musician or group of musicians: a singer, for example, or a bassoonist, a violin section, or a trumpet and saxophone together. In any case, it is a string of notes that follow one after the other and that belong together in the music.The articulation is what happens in between the notes. The attack - the beginning of a note - and the amount of space in between the notes are particularly important.

Descriptions of how each articulation is done cannot be given here, because they depend too much on the particular instrument that is making the music. In other words, the technique that a violin player uses to slur notes will be completely different from the technique used by a trumpet player, and a pianist and a vocalist will do different things to make a melody sound legato. In fact, the violinist will have some articulations available (such as pizzicato, or "plucked") that a trumpet player will never see.

So if you are wondering how to play slurs on your guitar or staccato on your clarinet, ask your music teacher or director. What you will find here is a short list of the most common articulations: their names, what they look like when notated, and a vague description of how they sound. The descriptions have to be vague, because articulation, besides depending on the instrument, also depends on the style of the music. Exactly how much space there should be between staccato eighth notes, for example, depends on tempo as well as on whether you're playing Rossini or Sousa. To give you some idea of the difference that articulation makes, though, here are audio examples of a violin playing a legato and a staccato passage. (For more audio examples of violin articulations, please see Common Violin Terminology.)

Staccato notes are short, with plenty of space between them. Please note that this doesn't mean that the tempo or rhythm goes any faster. The tempo and rhythm are not affected by articulations; the staccato notes sound shorter than written only because of the extra space between them.

Figure 1.92. Staccato

Legato is the opposite of staccato. The notes are very connected; there is no space between the notes at all. There is, however, still some sort of articulation that causes a slight but definite break between the notes (for example, the violin player's bow changes direction, the guitar player plucks the string again, or the wind player uses the tongue to interrupt the stream of air).

Figure 1.93. Legato

Accents - An accent requires that a note stand out more than the unaccented notes around it. Accents are usually performed by making the accented note, or the beginning of the accented note, louder than the rest of the music. Although this is mostly a quick change in dynamics, it usually affects the articulation of the note, too. The extra loudness of the note often requires a stronger, more definite attack at the beginning of the accented note, and it is emphasized by putting some space before and after the accented notes. The effect of a lot of accented notes in a row may sound marcato.

Figure 1.94. Accents

The performance of an accent depends on the style of music, but in general, sforzando and fortepiano accents involve a loud beginning to a longer note. They are usually heavier and longer than caret-type accents, which often rely more on a powerful attack to make a short note louder than the notes around it.

A slur is marked by a curved line joining any number of notes. When notes are slurred, only the first note under each slur marking has a definite articulation at the beginning. The rest of the notes are so seamlessly connected that there is no break between the notes. A good example of slurring occurs when a vocalist sings more than one note on the same syllable of text.

Figure 1.95. Slurs

A tie looks like a slur, but it is between two notes that are the same pitch. A tie is not really an articulation marking. It is included here because it looks like one, which can cause confusion for beginners. When notes are tied together, they are played as if they are one single note that is the length of all the notes that are tied together. (Please see Dots, Ties, and Borrowed Divisions.)

Figure 1.96. Slurs vs. Ties

A slur marking indicates no articulation - no break in the sound - between notes of different pitches. A tie is used between two notes of the same pitch. Since there is no articulation between them, they sound like a single note. The tied quarters here would sound exactly like a half note crossing the bar line. Like a note that crosses bar lines, the two-and-a-half-beat "note" in the fourth bar would be difficult to write without using a tie.

A portamento is a smooth glide between the two notes, including all the pitches in between. For some instruments, like violin and trombone, this includes even the pitches in between the written notes. For other instruments, such as guitar, it means sliding through all of the possible notes between the two written pitches.

Figure 1.97. Portamento

Although unusual in traditional common notation, a type of portamento that includes only one written pitch can be found in some styles of music, notably jazz, blues, and rock. As the notation suggests, the proper performance of scoops and fall-offs requires that the portamento begins (in scoops) or ends (in fall-offs) with the slide itself, rather than with a specific note.

Figure 1.98. Scoops and Fall-offs

The notation for scoops and fall-offs has not been standardized, but either one will look something like a portamento or slur with a note on one end only.

Some articulations may be some combination of staccato, legato, and accent. Marcato, for example means "marked" in the sense of "stressed" or "noticeable". Notes marked marcato have enough of an accent and/or enough space between them to make each note seem stressed or set apart. They are usually longer than staccato but shorter than legato. Other notes may be marked with a combination of articulation symbols, for example legato with accents. As always, the best way to perform such notes depends on the instrument and the style of the music.

Figure 1.99. Some Possible Combination Markings

Plenty of music has no articulation marks at all, or marks on only a few notes. Often, such music calls for notes that are a little more separate or defined than legato, but still nowhere as short as staccato. Mostly, though, it is up to the performer to know what is considered proper for a particular piece. For example, most ballads are sung legato, and most marches are played fairly staccato or marcato, whether they are marked that way or not. Furthermore, singing or playing a phrase with musicianship often requires knowing which notes of the phrase should be legato, which should be more separate, where to add a little portamento, and so on. This does not mean the best players consciously decide how to play each note. Good articulation comes naturally to the musician who has mastered the instrument and the style of the music.

In standard notation, a single musical sound is written as a note. The two most important things a written piece of music needs to tell you about a note are its pitch - how high or low it is - and its duration - how long it lasts.

To find out the pitch of a written note, you look at the clef and the key signature, then see what line or space the note is on. The higher a note sits on the staff, the higher it sounds. To find out the duration of the written note, you look at the tempo and the time signature and then see what the note looks like.

Figure 1.43. The Parts of a Note

All of the parts of a written note affect how long it lasts.

The pitch of the note depends only on what line or space the head of the note is on. (Please see pitch , clef and key signature for more information.) If the note does not have a head (see Figure 1.44), that means that it does not have one definite pitch.

Figure 1.44. Notes Without Heads

If a note does not have head, it does not have one definite pitch. Such a note may be a pitchless sound, like a drum beat or a hand clap, or it may be an entire chord rather than a single note.

The head of the note may be filled in (black), or not. The note may also have (or not) a stem, one or more flags, beams connecting it to other notes, or one or more dots following the head of the note. All of these things affect how much time the note is given in the music.

Figure 1.45. Most Common Note Lengths

The simplest-looking note, with no stems or flags, is a whole note. All other note lengths are defined by how long they last compared to a whole note. A note that lasts half as long as a whole note is a half note. A note that lasts a quarter as long as a whole note is a quarter note. The pattern continues with eighth notes, sixteenth notes, thirty-second notes, sixty-fourth notes, and so on, each type of note being half the length of the previous type. (There are no such thing as third notes, sixth notes, tenth notes, etc.; see Dots, Ties, and Borrowed Divisions to find out how notes of unusual lengths are written.)

Figure 1.46. 

Note lengths work just like fractions in arithmetic: two half notes or four quarter notes last the same amount of time as one whole note. Flags are often replaced by beams that connect the notes into easy-to-read groups.

You may have noticed that some of the eighth notes in Figure 1.46 don't have flags; instead they have a beam connecting them to another eighth note. If flagged notes are next to each other, their flags can be replaced by beams that connect the notes into easy-to-read groups. The beams may connect notes that are all in the same beat, or, in some vocal music, they may connect notes that are sung on the same text syllable. Each note will have the same number of beams as it would have flags.

Figure 1.47. Notes with Beams

The notes connected with beams are easier to read quickly than the flagged notes. Notice that each note has the same number of beams as it would have flags, even if it is connected to a different type of note. The notes are often (but not always) connected so that each beamed group gets one beat. This makes the notes easier to read quickly.

You may have also noticed that the note lengths sound like fractions in arithmetic. In fact they work very much like fractions: two half notes will be equal to (last as long as) one whole note; four eighth notes will be the same length as one half note; and so on. (For classroom activities relating music to fractions, see Fractions, Multiples, Beats, and Measures.)

Example 1.2. 

Figure 1.48. 

Exercise 1.6.1. (Go to Solution)

Draw the missing notes and fill in the blanks to make each side the same duration (length of time).

Figure 1.49. 

So how long does each of these notes actually last? That depends on a couple of things. A written note lasts for a certain amount of time measured in beats. To find out exactly how many beats it takes, you must know the time signature. And to find out how long a beat is, you need to know the tempo.

Example 1.3. 

Figure 1.50. 

In any particular section of a piece of music, a half note is always twice as long as a quarter note. But how long each note actually lasts depends on the time signature and the tempo.

Whether a stem points up or down does not affect the note length at all. There are two basic ideas that lead to the rules for stem direction. One is that the music should be as easy as possible to read and understand. The other is that the notes should tend to be "in the staff" as much as reasonably possible.

Figure 1.51. Stem Direction

Keep stems and beams in or near the staff, but also use stem direction to clarify rhythms and parts when necessary.

Because music is heard over a period of time, one of the main ways music is organized is by dividing that time up into short periods called beats. In most music, things tend to happen right at the beginning of each beat. This makes the beat easy to hear and feel. When you clap your hands, tap your toes, or dance, you are "moving to the beat". Your claps are sounding at the beginning of the beat, too. This is also called being "on the downbeat", because it is the time when the conductor's baton hits the bottom of its path and starts moving up again.

The downbeat is the strongest part of the beat, but some downbeats are stronger than others. Usually a pattern can be heard in the beats: strong-weak-weak-strong-weak-weak, or strong-weak-strong-weak. So beats are organized even further by grouping them into bars, or measures. (The two words mean the same thing.) For example, for music with a beat pattern of strong-weak-weak-strong-weak-weak, or 1-2-3-1-2-3, a measure would have three beats in it. The time signature tells you two things: how many beats there are in each measure, and what type of note gets a beat.

Figure 1.59. Reading the Time Signature

This time signature means that there are three quarter notes (or any combination of notes that equals three quarter notes) in every measure. A piece with this time signature would be "in three four time" or just "in three four".

Most time signatures contain two numbers. The top number tells you how many beats there are in a measure. The bottom number tells you what kind of note gets a beat.

Figure 1.60. 

In "four four" time, there are four beats in a measure and a quarter note gets a beat. Any combination of notes that equals four quarters can be used to fill up a measure.

You may have noticed that the time signature looks a little like a fraction in arithmetic. Filling up measures feels a little like finding equivalent fractions, too. In "four four time", for example, there are four beats in a measure and a quarter note gets one beat. So four quarter notes would fill up one measure. But so would any other combination of notes that equals four quarters: one whole, two halves, one half plus two quarters, and so on.

Example 1.5. 

If the time signature is three eight, any combination of notes that adds up to three eighths will fill a measure. Remember that a dot is worth an extra half of the note it follows. Listen to the rhythms in Figure 1.61.

Figure 1.61. 

If the time signature is three eight, a measure may be filled with any combination of notes and rests that adds up to three eight.

A few time signatures don't have to be written as numbers. Four four time is used so much that it is often called common time, written as a bold "C". When both fours are "cut" in half to twos, you have cut time, written as a "C" cut by a vertical slash.

Figure 1.62. 

You may have already noticed that a measure in four four time looks the same as a measure in two two. After all, in arithmetic, four quarters adds up to the same thing as two halves. For that matter, why not call the time signature "one one" or "eight eight"?

Figure 1.63. 

Measures in all of these meters look the same, but feel different. The difference is how many downbeats there are in a measure.

Or why not write two two as two four, giving quarter notes the beat instead of half notes? The music would look very different, but it would sound the same, as long as you made the beats the same speed. The music in each of the staves in Figure 1.64 would sound like this.

Figure 1.64. 

The music in each of these staves should sound exactly alike.

So why is one time signature chosen rather than another? The composer will normally choose a time signature that makes the music easy to read and also easy to count and conduct. Does the music feel like it has four beats in every measure, or does it go by so quickly that you only have time to tap your foot twice in a measure?

A common exception to this is six eight time, and the other time signatures (for example nine eight and twelve eight) commonly used to write compound meters. A piece in six eight might have six beats in every measure, with an eighth note getting a beat. But it is more likely that the conductor will give only two beats per measure, with a dotted quarter (or three eighth notes) getting one beat. Since beats normally get divided into halves and quarters, this is the easiest way for composers to write beats that are divided into thirds. In the same way, three eight may only have one beat per measure; nine eight, three beats per measure; and twelve eight, four beats per measure.

Figure 1.65. 

In six eight time, a dotted quarter usually gets one beat. This is the easiest way to write beats that are evenly divided into three rather than two.

Meters can be classified by counting the number of beats from one strong beat to the next. For example, if the meter of the music feels like "strong-weak-strong-weak", it is in duple meter. "strong-weak-weak-strong-weak-weak" is triple meter, and "strong-weak-weak-weak" is quadruple. (Most people don't bother classifying the more unusual meters, such as those with five beats in a measure.)

Meters can also be classified as either simple or compound. In a simple meter, each beat is basically divided into halves. In compound meters, each beat is divided into thirds.

A borrowed division occurs whenever the basic meter of a piece is interrupted by some beats that sound like they are "borrowed" from a different meter. One of the most common examples of this is the use of triplets to add some compound meter to a piece that is mostly in a simple meter. (See Dots, Ties, and Borrowed Divisions to see what borrowed divisions look like in common notation.)

To learn to recognize meter, remember that (in most Western music) the beats and the subdivisions of beats are all equal and even. So you are basically listening for a running, even pulse underlying the rhythms of the music. For example, if it makes sense to count along with the music "ONE-and-Two-and-ONE-and-Two-and" (with all the syllables very evenly spaced) then you probably have a simple duple meter. But if it's more comfortable to count "ONE-and-a-Two-and-a-ONE-and-a-Two-and-a", it's probably compound duple meter. (Make sure numbers always come on a pulse, and "one" always on the strongest pulse.)

This may take some practice if you're not used to it, but it can be useful practice for anyone who is learning about music. To help you get started, the figure below sums up the most-used meters. To help give you an idea of what each meter should feel like, here are some animations (with sound) of duple simple, duple compound, triple simple, triple compound, quadruple simple, and quadruple compound meters. You may also want to listen to some examples of music that is in simple duple, simple triple, simple quadruple, compound duple, and compound triple meters.

Figure 1.67. Meters

Remember that meter is not the same as time signature; the time signatures given here are just examples. For example, 2/2 and 2/8 are also simple duple meters.

Normally, all the measures of a piece of music must have exactly the number of beats indicated in the time signature. The beats may be filled with any combination of notes or rests (with duration values also dictated by the time signature), but they must combine to make exactly the right number of beats. If a measure or group of measures has more or fewer beats, the time signature must change.

Figure 1.68. 

Normally, a composer who wants to put more or fewer beats in a measure must change the time signature, as in this example from Mussorgsky's Boris Godunov.

There is one common exception to this rule. (There are also some less common exceptions not discussed here.) Often, a piece of music does not begin on the strongest downbeat. Instead, the strong beat that people like to count as "one" (the beginning of a measure), happens on the second or third note, or even later. In this case, the first measure may be a full measure that begins with some rests. But often the first measure is simply not a full measure. This shortened first measure is called a pickup measure.

If there is a pickup measure, the final measure of the piece should be shortened by the length of the pickup measure (although this rule is sometimes ignored in less formal written music). For example, if the meter of the piece has four beats, and the pickup measure has one beat, then the final measure should have only three beats. (Of course, any combination of notes and rests can be used, as long as the total in the first and final measures equals one full measure.

Figure 1.69. 

If a piece begins with a pickup measure, the final measure of the piece is shortened by the length of the pickup measure.

Any phrase of music (not just the first one) may begin someplace other than on a strong downbeat. All the notes before the first strong downbeat of any phrase are the pickup notes to that phrase.

Figure 1.70. 

Any phrase may begin with pickup notes. Each of these four phrases begins with one or two pickup notes. (You may listen to the tune here; can you hear that the pickup notes lead to the stronger downbeat?)

A piece that is using pickup measures or pickup notes may also sometimes place a double bar (with or without repeat signs) inside a measure, in order to make it clear which phrase and which section of the music the pickup notes belong to. If this happens (which is a bit rare, because it can be confusing to read), there is still a single bar line where it should be, at the end of the measure.

One way to get a different length is by dotting the note or rest. A dotted note is one-and-a-half times the length of the same note without the dot. In other words, the note keeps its original length and adds another half of that original length because of the dot. So a dotted half note, for example, would last as long as a half note plus a quarter note, or three quarters of a whole note.

Figure 1.72. 

The dot acts as if it is adding another note half the length of the original note. A dotted quarter note, for example, would be the length of a quarter plus an eighth, because an eighth note is half the length of a quarter note.

Exercise 1.11.1. (Go to Solution)

Make groups of equal length on each side, by putting a dotted note or rest in the box.

Figure 1.73. 

A note may have more than one dot. Each dot adds half the length that the dot before it added. For example, the first dot after a half note adds a quarter note length; the second dot would add an eighth note length.

Figure 1.74. 

When a note has more than one dot, each dot is worth half of the dot before it.

A dotted half lasts as long as a half note plus a quarter note. The same length may be written as a half note and a quarter note tied together. Tied notes are written with a curved line connecting two notes that are on the same line or the same space in the staff. Notes of any length may be tied together, and more than two notes may be tied together. The sound they stand for will be a single note that is the length of all the tied notes added together. This is another way to make a great variety of note lengths. Tied notes are also the only way to write a sound that starts in one measure and ends in a different measure.

Figure 1.75. 

When these eight notes are played as written, only five distinct notes are heard: one note the length of two whole notes; then a dotted half note; then another note the same length as the dotted half note; then a quarter note; then a note the same length as a whole note plus a quarter note.

Dots and ties give you much freedom to write notes of varying lengths, but so far you must build your notes from halves of other notes. If you want to divide a note length into anything other than halves or halves of halves - if you want to divide a beat into thirds or fifths, for example - you must write the number of the division over the notes. These unusual subdivisions are called borrowed divisions because they sound as if they have been borrowed from a completely different meter. They can be difficult to perform correctly and are avoided in music for beginners. The only one that is commonly used is triplets, which divide a note length into equal thirds.

Figure 1.76. Some Borrowed Divisions

Any common note length can be divided into an unusual number of equal-length notes and rests, for example by dividing a whole note into three instead of two "half" notes. The notes are labeled with the appropriate number. If there might be any question as to which notes are involved in the borrowed division, a bracket is placed above them. Triplets are by far the most common borrowed division.

Figure 1.77. Borrowed Duplets

In a compound meter, which normally divides a beat into three, the borrowed division may divide the beat into two, as in a simple meter. You may also see duplets in swing music.

Notes in jazzy-sounding music that has a "swing" beat are often assumed to be triplet rhythms, even when they look like regular divisions; for example, two written eighth notes (or a dotted quarter-sixteenth) might sound like a triplet quarter-eighth rhythm. In jazz and other popular music styles, a tempo notation that says swing usually means that all rhythms should be played as triplets. Straight means to play the rhythms as written.

Figure 1.78. Swing Rhythms

Jazz or blues with a "swing" rhythm often assumes that all divisions are triplets. The swung triplets may be written as triplets, or they may simply be written as "straight" eighth notes or dotted eighth-sixteenths. If rhythms are not written as triplets, the tempo marking usually includes an indication to "swing", or it may simply be implied by the style and genre of the music.

Metronome markings are given in beats per minute. They can be estimated using a clock with a second hand, but the easiest way to find them is with a metronome, which is a tool that can give a beat-per-minute tempo as a clicking sound or a pulse of light. Figure 1.83 shows some examples of metronome markings.

Figure 1.83. 

Metronomes often come with other tempo indications written on them, but this is misleading. For example, a metronome may have allegro marked at 120 beats per minute and andante marked at 80 beats per minute. Allegro should certainly be quite a bit faster than andante, but it may not be exactly 120 beats per minute.

A tempo marking that is a word or phrase gives you the composer's idea of how fast the music should feel. How fast a piece of music feels depends on several different things, including the texture and complexity of the music, how often the beat gets divided into faster notes, and how fast the beats themselves are (the metronome marking). Also, the same tempo marking can mean quite different things to different composers; if a metronome marking is not available, the performer should use a knowledge of the music's style and genre, and musical common sense, to decide on the proper tempo. When possible, listening to a professional play the piece can help with tempo decisions, but it is also reasonable for different performers to prefer slightly different tempos for the same piece.

Traditionally, tempo instructions are given in Italian.

These terms, along with a little more Italian, will help you decipher most tempo instructions.

Of course, tempo instructions don't have to be given in Italian. Much folk, popular, and modern music, gives instructions in English or in the composer's language. Tempo indications such as "Not too fast", "With energy", "Calmly", or "March tempo" give a good idea of how fast the music should feel.

If the tempo of a piece of music suddenly changes into a completely different tempo, there will be a new tempo given, usually marked in the same way (metronome tempo, Italian term, etc.) as the original tempo. Gradual changes in the basic tempo are also common in music, though, and these have their own set of terms. These terms often appear below the staff, although writing them above the staff is also allowed. These terms can also appear with modifiers like molto or un poco. You may notice that there are quite a few terms for slowing down. Again, the use of these terms will vary from one composer to the next; unless beginning and ending tempo markings are included, the performer must simply use good musical judgement to decide how much to slow down in a particular ritardando or rallentando.

The staff (plural staves) is written as five horizontal parallel lines. Most of the notes of the music are placed on one of these lines or in a space in between lines. Extra ledger lines may be added to show a note that is too high or too low to be on the staff. Vertical bar lines divide the staff into short sections called measures or bars. A double bar line, either heavy or light, is used to mark the ends of larger sections of music, including the very end of a piece, which is marked by a heavy double bar.

Figure 1.1. The Staff

The five horizontal lines are the lines of the staff. In between the lines are the spaces. If a note is above or below the staff, ledger lines are added to show how far above or below. Shorter vertical lines are bar lines. The most important symbols on the staff, the clef symbol, key signature and time signature, appear at the beginning of the staff.

Many different kinds of symbols can appear on, above, and below the staff. The notes and rests are the actual written music. A note stands for a sound; a rest stands for a silence. Other symbols on the staff, like the clef symbol, the key signature, and the time signature, tell you important information about the notes and measures. Symbols that appear above and below the music may tell you how fast it goes (tempo markings), how loud it should be (dynamic markings), where to go next (repeats, for example) and even give directions for how to perform particular notes (accents, for example).

Figure 1.2. Other Symbols on the Staff

The bar lines divide the staff into short sections called bars or measures. The notes (sounds) and rests (silences) are the written music. Many other symbols may appear on, above, or below the staff, giving directions for how to play the music.

Staves are read from left to right. Beginning at the top of the page, they are read one staff at a time unless they are connected. If staves should be played at the same time (by the same person or by different people), they will be connected at least by a long vertical line at the left hand side. They may also be connected by their bar lines. Staves played by similar instruments or voices, or staves that should be played by the same person (for example, the right hand and left hand of a piano part) may be grouped together by braces or brackets at the beginning of each line.

Figure 1.3. Groups of Staves

(a)

(b) When many staves are to be played at the same time, as in this orchestral score, the lines for similar instruments - all the violins, for example, or all the strings - may be marked with braces or brackets.

The first symbol that appears at the beginning of every music staff is a clef symbol. It is very important because it tells you which note (A, B, C, D, E, F, or G) is found on each line or space. For example, a treble clef symbol tells you that the second line from the bottom (the line that the symbol curls around) is "G". On any staff, the notes are always arranged so that the next letter is always on the next higher line or space. The last note letter, G, is always followed by another A.

Figure 1.4. Treble Clef

A bass clef symbol tells you that the second line from the top (the one bracketed by the symbol's dots) is F. The notes are still arranged in ascending order, but they are all in different places than they were in treble clef.

Figure 1.5. Bass Clef

One of the first steps in learning to read music in a particular clef is memorizing where the notes are. Many students prefer to memorize the notes and spaces separately. Here are some of the most popular mnemonics used.

Figure 1.6. 

(a)

(b)

You can use a word or silly sentence to help you memorize which notes belong on the lines or spaces of a clef. If you don't like these ones, you can make up your own.

Most music these days is written in either bass clef or treble clef, but some music is written in a C clef. The C clef is moveable: whatever line it centers on is a middle C.

Figure 1.7. C Clefs

All of the notes on this staff are middle C.

The bass and treble clefs were also once moveable, but it is now very rare to see them anywhere but in their standard positions. If you do see a treble or bass clef symbol in an unusual place, remember: treble clef is a G clef; its spiral curls around a G. Bass clef is an F clef; its two dots center around an F.

Figure 1.8. Moveable G and F Clefs

It is rare these days to see the G and F clefs in these nonstandard positions.

Much more common is the use of a treble clef that is meant to be read one octave below the written pitch. Since many people are uncomfortable reading bass clef, someone writing music that is meant to sound in the region of the bass clef may decide to write it in the treble clef so that it is easy to read. A very small "8" at the bottom of the treble clef symbol means that the notes should sound one octave lower than they are written.

Figure 1.9. 

A small "8" at the bottom of a treble clef means that the notes should sound one octave lower than written.

Music is easier to read and write if most of the notes fall on the staff and few ledger lines have to be used.

Figure 1.10. 

These scores show the same notes written in treble and in bass clef. The staff with fewer ledger lines is easier to read and write.

The G indicated by the treble clef is the G above middle C, while the F indicated by the bass clef is the F below middle C. (C clef indicates middle C.) So treble clef and bass clef together cover many of the notes that are in the range of human voices and of most instruments. Voices and instruments with higher ranges usually learn to read treble clef, while voices and instruments with lower ranges usually learn to read bass clef. Instruments with ranges that do not fall comfortably into either bass or treble clef may use a C clef or may be transposing instruments.

Figure 1.11. 

Middle C is above the bass clef and below the treble clef; so together these two clefs cover much of the range of most voices and instruments.

In common notation, any note can be sharp, flat, or natural. A sharp symbol raises the pitch (of a natural note) by one half step; a flat symbol lowers it by one half step.

Figure 1.32. 

Why do we bother with these symbols? There are twelve pitches available within any octave. We could give each of those twelve pitches its own name (A, B, C, D, E, F, G, H, I, J, K, and L) and its own line or space on a staff. But that would actually be fairly inefficient, because most music is in a particular key. And music that is in a major or minor key will tend to use only seven of those twelve notes. So music is easier to read if it has only lines, spaces, and notes for the seven pitches it is (mostly) going to use, plus a way to write the occasional notes that are not in the key.

This is basically what common notation does. There are only seven note names (A, B, C, D, E, F, G), and each line or space on a staff will correspond with one of those note names. To get all twelve pitches using only the seven note names, we allow any of these notes to be sharp, flat, or natural. Look at the notes on a keyboard.

Figure 1.33. 

Seven of the twelve possible notes in each octave are "natural" notes.

Because most of the natural notes are two half steps apart, there are plenty of pitches that you can only get by naming them with either a flat or a sharp (on the keyboard, the "black key" notes). For example, the note in between D natural and E natural can be named either D sharp or E flat. These two names look very different on the staff, but they are going to sound exactly the same, since you play both of them by pressing the same black key on the piano.

Figure 1.34. 

D sharp and E flat look very different when written in common notation, but they sound exactly the same when played on a piano.

This is an example of enharmonic spelling. Two notes are enharmonic if they sound the same on a piano but are named and written differently.

But these are not the only possible enharmonic notes. Any note can be flat or sharp, so you can have, for example, an E sharp. Looking at the keyboard and remembering that the definition of sharp is "one half step higher than natural", you can see that an E sharp must sound the same as an F natural. Why would you choose to call the note E sharp instead of F natural? Even though they sound the same, E sharp and F natural, as they are actually used in music, are different notes. (They may, in some circumstances, also sound different; see below.) Not only will they look different when written on a staff, but they will have different functions within a key and different relationships with the other notes of a piece of music. So a composer may very well prefer to write an E sharp, because that makes the note's place in the harmonies of a piece more clear to the performer. (Please see Triads, Beyond Triads, and Harmonic Analysis for more on how individual notes fit into chords and harmonic progressions.)

In fact, this need (to make each note's place in the harmony very clear) is so important that double sharps and double flats have been invented to help do it. A double sharp is two half steps (one whole step) higher than the natural note. A double flat is two half steps lower than the natural note. Double sharps and flats are fairly rare, and triple and quadruple flats even rarer, but all are allowed.

Figure 1.35. 

Keys and scales can also be enharmonic. Major keys, for example, always follow the same pattern of half steps and whole steps. (See Major Keys and Scales. Minor keys also all follow the same pattern, different from the major scale pattern; see Minor Keys.) So whether you start a major scale on an E flat, or start it on a D sharp, you will be following the same pattern, playing the same piano keys as you go up the scale. But the notes of the two scales will have different names, the scales will look very different when written, and musicians may think of them as being different. For example, most instrumentalists would find it easier to play in E flat than in D sharp. In some cases, an E flat major scale may even sound slightly different from a D sharp major scale. (See below.)

Figure 1.36. 

The E flat major and D sharp major scales sound the same on the piano, although they look very different. If this surprises you, look again at the piano keyboard and find the notes that you would play for each scale.

Since the scales are the same, D sharp major and E flat major are also enharmonic keys. Again, their key signatures will look very different, but music in D sharp will not be any higher or lower than music in E flat.

Figure 1.37. Enharmonic Keys

The key signatures for E flat and D sharp look very different, but would sound the same on a keyboard.

Exercise 1.5.3. (Go to Solution)

Give an enharmonic name and key signature for the keys given in Figure 1.38. (If you are not well-versed in key signatures yet, pick the easiest enharmonic spelling for the key name, and the easiest enharmonic spelling for every note in the key signature. Writing out the scales may help, too.)

Figure 1.38. 

Figure 1.39. 

Chords and intervals also can have enharmonic spellings. Again, it is important to name a chord or interval as it has been spelled, in order to understand how it fits into the rest of the music. A C sharp major chord means something different in the key of D than a D flat major chord does. And an interval of a diminished fourth means something different than an interval of a major third, even though they would be played using the same keys on a piano. (For practice naming intervals, see Interval. For practice naming chords, see Naming Triads and Beyond Triads. For an introduction to how chords function in a harmony, see Beginning Harmonic Analysis.)

Figure 1.40. 

All of the above discussion assumes that all notes are tuned in equal temperament. Equal temperament has become the "official" tuning system for Western music. It is easy to use in pianos and other instruments that are difficult to retune (organ, harp, and xylophone, to name just a few), precisely because enharmonic notes sound exactly the same. But voices and instruments that can fine-tune quickly (for example violins, clarinets, and trombones) often move away from equal temperament. They sometimes drift, consciously or unconsciously, towards just intonation, which is more closely based on the harmonic series. When this happens, enharmonically spelled notes, scales, intervals, and chords, may not only be theoretically different. They may also actually be slightly different pitches. The differences between, say, a D sharp and an E flat, when this happens, are very small, but may be large enough to be noticeable. Many Non-western music traditions also do not use equal temperament. Sharps and flats used to notate music in these traditions should not be assumed to mean a change in pitch equal to an equal-temperament half-step. For definitions and discussions of equal temperament, just intonation, and other tuning systems, please see Tuning Systems.