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F N U D M A N E The distance between any T made up of notes on two two the the and You determine the count die first 4. An octave, to C, for sounded interval. The closest an can happen on possible interval is different instruments, for two a unison. A urfison is example, or when two second, third, fourth, fifth, sixth, seventh, are by counting the distance from one note to the next, (In music, you always name 1.) The interval from C F, for the example, fourth: C is 1, D is 2, E is 3, and F is have seen, is the name for the interval between two successive notes of the same letter name. (C Intervals can be either mccessive (one note sounded afi:er the other) or simultaneous (both notes note as as we pitches is called pitch. This After the unison, the other intervals same note. example.) together). 5 L same people sing octave. A third second to fourth would be fifth a sixth seventh octave quality of sound speaking, an interval The stablest, or considered most of each of the intervals can be described in terms ofeonsonaace and dissonance. Generally is consonant when the two notes sound pleasing or stable when played at the same time. The consonant, intervals are the unison, fourth, fifth, and octave; the third and sixth are also usually consonant. unison fourth The intervals of dissonant. To our plete. a ears, fifth third octave sixth seventh, from C to B above, sound harsh. These intervals are dissonances sound unstable or "unfinished," whereas consonances sound stable and com- second, from C to D, and a The harsh dissonances of the second and seventh seem to require resolution to a consonance. We can hear that the B in a C-B seventh seems to yearn for the C a half step above, which would turn the dissonant seventh into the very consonant octave. And the D in the C-D second wants to resolve up to a third or down to a unison--both (Unisons are rather hard to play on one pianot) consonances. • resolving second to a third second to a resolving unison seventh to an resolving octave C H A P T E R 2 pitches played consecutively, then melody is created. Melodies be smooth and lyrical, short, sharp, and jagged, anything in between. We hear melodies every day: the radio, television, school, and work. Memorable melodies constitute integral part of lives. Every country, for example, has national anthem, each possessing distinctive melody. Some melodies, like those in television ads video games, heads if stick in important element fall cultures. More to forget them. Popular melodies o•en than not, decide whether like piece of music purely the basis of its melody. A melody rypicatly consists of different types of melodic motion. Melodic motion describes the spacing of melody. Most melodies contain mixture of steps (either half steps whole steps), leaps (movement to notes in individual melody is determined by than step away), and repeated The distinctive quality of If several individual are can a or or at at a• a on on our or a even our we want we are an we a o on a or a notes more a notes. an the combination of these three types of melodic motion. The melody of "Happy Birthday to You" contains a mixture of steps, leaps, and repeated notes (see example). It is very simple in construction and can be divided into four sections; 1, 2, 3, and 4. Each of these sections is called a phrase. A musical phrase is marked off by a tiny moment of repose at its end. If you sing "Happy Birthday," you will notice that the most appropriate points at which to take a breath are at the end of each phrase. rl, r Hap-py bia-th day, birth de• day to read hap- you; er, hap- r&-- 2. py py bk, lb bi•h day day to to you; hap- py you. The four phrases axe very similar. Each is the same length. Each features almost exacdy the same rhythm'. The difference between the phrases is in the mdodic motion. The first two are almost identical; the only difference is the size of one of the intervals. The first phrase has a fourth between "-day" and "to," while the second phrase has fifth between those words. a The third and fourth phrases are more varied melodically. The third phrase has an octave leap at the beginning ("Happy BIRTH-"), which marks the high point of the entire melody, and then descends by thirds. And the fourth phrase starts higher than any of the others and descends to the last note of the melody. The fourth phrase has a feeling of finality to it, which is appropriate for the end of the melody. "Happy Birthday" is an example of a melody that features phrases of identical length, unified by the repetition of a rhythmic pattern but given shape and contrast by differences in melodic motion. "America" (see example) has a much longer melody than "Happy Birthday" does, but it also contains phrases of equal length, and a repeated rhythm again unifies the melody. See how often you can lind the same, or almost the same, rhythm in this melody. 32 F U N D A M My E S 'tis of sing. thee grims'pride, Pil L A t•y, coun- of T N Land from thee, where 'ry__ ev land sweet fa my moun- of thers taJn-side, li died, let land free- dom her- ty, of the ring! melody, however, is almost entirely made up of steps. In fact, if you don't the intereals between largest interval in the entire song is only third. This interval (on "-try 'tis" and "-'ry moun-" and "let") sounds like big leap when the of the melody is in stepwise motion. The word "let" also has the highest These factors together strong climax for the words "let freedom ring!" Another distinctive feature of this melody is its of melodic sequence the words "Land where my fathers died, land of the Pilgrims' pride." A melodic sequence occurs when melodic pattern is repeated at different pitch This phrases, count the a a rest two note. create a use level, and on a a device used in many melodies. Here, the melodic pattern of "Land where my fathers died" is repeated a step lower for the words "land of the Pilgrims' pride." The musical sequence is matched by the similarity of the two lines of text. Both begin with the word "land," both have the same number of syllables, and the two lines rhyme ("died"/"pride"). Synergy between text and melody is a hallmark of memorable songs. "Twinkle, Twinkle, Litde Star" (see example) is an example of melody that ends the a same way it begins. Again, each phrase is the same length, and here, each phrase uses exactly the rhythm. You will notice that the same last two phrases are identical to the first and that only the middle two two provide any melodic contrast. This idea of melodic contrast a•d return is an extremely common device in music. it is a Phrase Phrase 2 kle, Twinr-- Phrase 3 up a r--- twin- kle, lit tie how star, •- bove the world so high, like Phrase 5-- twin_ kle, r• kle, twin lit tie star, how I won- der what you are, mond in the sky, der what you are. Phrase 4 a dia- Phrase6 won of"Twinkie, Twinkle, Little Star" is made up primarily of repeated of fifth the beginning of the first phrase (and phrase 5). The a at ;311 notes and descending steps, range of the entire song is ¢ H A P T E R 2 only sixth, from low of middle C to a high ofA,'maki ng it an easy reach for most singers. The simple but saris•ing structure, the repetitive rhythm, the limited range, and the pattern of repeated notes and stepwise melodJc motion make this favorite early song for children. Melodic motion also contributes to a larger-scale aspect of melody, which is melodic shape. If you simply draw line connecting the notes in a melody, you will get visual picture of its melodic shape. We can also sense the shape of melody with our eats. "Happy Birthday," for example, is made up of wave shapes, which gradually rise up to the highest note ("Happy BIRTH-") and then descend. "America" has extremely gentle waves (we might call them ripples) except for the last phrase. "Twinkle, Twinkle, Little Star" has two phrases (1 and 5) that rise rather suddenly, while all the rest of the phrases have a long, gradual descent. The overall shape of melody has a not. very strong effect on whether the melody appeals to us "Happy Birthday," '•America," and "Twinkle, T•/mkle, Litde Star" simple melodies. Yet they exhibit the division into phrases; mixture of steps, leaps, and repeated notes; the use of most important aspects of melody: other feature in common, quence; the unifying role played by rhythm; and overall shape. These melodies have memorable tune: Each is dominated by a keynote, tonic. An explanation of one that is shared by almost every this aspect of melody must include discussion of harmony, key, and tonality. a a a a a a a or are se- a one or a melodies can be sung unaccompanied, most of them normally occur with accompaniment. Accompaniwhich this accompaniment is constructed is known as h•:ment adds depth and richness to a melody. The way in mony. A composer can create different moods and feelings by changing the harmony in a piece of music. A chord is formed when three or more different notes are played together. The intervals between these notes determine whether the chord is consonant or dissonant, stable or unstable. The most common consonant chord is the triad, which consists of one primary note (called the "root") and two other notes, one a third above it and the other a fifth above it. This is the most frequently used of all chords. Although •-'• Root Both of the notes above the root form a consonance with the root, creating played one after another, rather than all at once, the result is not a chord but an hear if you strum a guitar once very slowly. Chord Arpeggio Chord very stable sound. If the notes are •rpegglo. An arpeggio is what you a Arl:•eggin Sometimes cnmposers will write a triad with the notes rearranged, so that the third or the fifth, or both, lie belnw the root. The resulting chords sound slightly different, but the root in each case remains C, because that is the note on which the triad was originalfy based. F U N A D Triads can M E N T be built on any A L root. Triads built on G would look like dais: Other chords, which are variants of the basic consonant triad, imply subsequent movement to a different triad; in other words, the listener expects a chord change to follow. The most common of these is the seventh chord. This chord consists of a triad (for example, C, E, and G) with a flatted sm, enth (Bb) added. You will notice a difference between the C-E-G sound of the first example in this section and the C-E-G-B[, sound of this last example. The BI, adds a dissonance to the basic triad because it creates the interval of a seventh with the C. Dissonant chords are unstable and seem to need resolution to a more stable chord. The B[, in the seventh chord "leans" toward the A that is a half step below. But the note A is not a part of the C triad. of harmony is required, based in this case on the root F, which has A as its third. The relationship second as its between the resolution, the ther elements of music: r•- key two chords in the two chords and tonality. can example be said to r• twin- lde, llt tle a r• bore the world so high, Phrase 5 tWin_ kle, like n twin- kle, lit tie important r•- how star, 35 Because the first chord one. To see why, we need ro I won- der what you are, rnond in the sky, der what you are. Phrase 4 a dia- Phrase 6 I won a change requires examine Phrase 2 how star, Phrase 3 up an belong together. Phrase Twin-kle, is Consequendy, two the fur- C H A P T E 2 R phrase 4, the melody will sound incomplete. This on a C, the tonic or keynote of the piece. If you examine the melody, will that begins and ends the it you see on same note: C. If to change the melody to end on a different note (see below), its whole quality would change. Listen to these new versions of the melody and you wil/hear that the final note is not stable enough to end the piece. The only note that sounds right at the end of this piece is C. sing "Twinkle, Twinkle, Little Star" happens because the melody needs to end If you and stop, at the end of we Ending on Ending D on were Ending B on C • How won-der what you How are. won-der what you • keynote, "Twinlde, Tw'nkle Little Star' can therefore by keys is known as tonality'. look again at the melody of "Happy Birthday." be said Because C is the ity to be molded Now let's Hap-py day bLrth hap- py you; to How are. day birth wonder to to be in the day, dear dent, stu hap- birth- py day to key you; J birth- what you •re. of C. Music's abil- hap- i py II you. What is the keynote of this melody? The melody ends on G, so the keynote is probably G. (Most melodies end on their keynote.) If you try substituting any other note at the end of "Happy Birthday," you will find that the substitutions simply don't sound right; they don't give a sense of finality at the end of the song. The keynote of "Happy Birthday" is G, so "Happy Birthday" is in the key of G, or simply in G. There are malay different keys, and "Happy Birthday" could just as easily have been written in the key of B-flat, for example. Every key has a different series of notes associated with it. When you zrrange the notes that belong to a particular keynote in their proper order, you create a scale. A scale is from when Major just an ascending writing a piece of music. more than scale. or descending A composer group of writing real•y a store of notes the composer draws key of C Major mosdy uses notes from the C- notes. in the It is scale. As we saw before, this scale use• only the white notes from the piano. The first and last notes of the scale are C, and C is the keynote. But you can build a major scale on any keynote. What makes a scale major is not the keynote, but thepattern of intervals between the notes. Let's see what the intervals are in the scale of C Major. Look at the C-Major scale in the following example. The pattern of intervals going up is: whole step, whole step, half step, whole step, whole step, whole step, half step, Let us reexamine the C-Major FUNDAMENTALS half step step whole step whole whole step step whole whole step half step Every major scale contains this pattern. If you use this pattern, you can build a major scale on any note. You will find that most major scales are not limited to the white notes. Try the scale of G Major. All you do is start on G and go up, keeping the same pattern of intervals. (The pattern in shorthand is: 1-1-•-1-1-1-•.) Start on G. Then go to A (a whole step from G), then B (a whole step from A), then C (a half step from B), then D (a whole step from C)! then E (a whole step from D), then F] (a whole step from E), and flnally G (a half step from F•I). You'll see that in order to keep the pattern, you have to use an F] instead of a plain F. So the scale of G Major looks like this: half step step whole step whole whole step whole step whole step half step o The same applies to any major scale: just start on any note and keep the interval pattern exact. Try making some other scales. You'll see that some need quite a few sharps or flats. There are two main types of scale: major and minor. Pieces that use a major scale are said to be in the major mode; pieces using a minor scale, in the minor mode. There is a difference in sound between the two modes. That difference is created by differences in the pattern of the intervals. The minor scale still uses whole and ha/f steps, but the arrangement is different. The pattern in the minor scale is this: whole step, half step, whole step, whole step, half step, whole step, whole step. The easiest minor scale is A minor, because it has no sharps or flats. whole step But just like the whole step half step major scale, a whole minor scale can step be built half on intervals (1-½-1-1-•-1-1). whole step As you You'll tive, see can see, half step D minor needs or one flat. whole step Try building BI,, El,, and sound different from that C minor needs three flats: Major-key pieces usually Sound whole step any half whole step note. step step whole step Here's D minor, with the whole step other minor scales. For same pattern of whole step exasrlple, try building C minor. AI,. minor-key pieces. The major key usua[ly sounds bright, posi- cheerful, whereas pieces in the minor key sound more serious, even a litde sad. Notice the difference of"Twinld,• "v•wmrae, Ltttle •tar lrwe change it from C Major to C minor. Twin- kle, twin lde, lit tie star, how I won der what you are. in the C H A P T E R 2 different versions of the minor scale. The basic one we have been look.ing at is called the natttral minor; the two other forms we called the harmonic minor and the melodic minor. Each has a slightly different interval pattern. The melodic minor scale is slightly different ascending and descending. Composers sometimes use norm(lily ;n their chords when hm*moMz(ng minor melody Harmonic minor Natural minor MeJodic minor (ascending) Melodic minor (descending) There are other scales that composers sometimes use, including pentatonic scales (scales with only five notes) and the chromatic scale, which moves entirely by half s[eps. Music that uses lots of half steps in addition to those in the scale is alao called chromatic. F• to keep to the pattern. Ira composer were to write piece in G Major, he she would have to write a sharp sign every time an F] was required. If the piece were in C minor, the composer would have to write three flats all the time. Instead of dolng this, composers usually write the beginning of each line of music. This indicates to the performer that whenever the relevant a key signature at flatted. The key signature for G Major shows F•I, indicating that whennotes appear, they should be sharped F appears, it should be sung or played as F•. The key signature for C minor has three flats, showing that ever When we G-Major constructed the a scale above, we needed an or or an an whenever B, E, or A appears, it should be flatted. Key Signature for G Major Key Sign•tt•re for C minor composer will want to use a note different from those indicated by the key signature. In these cases, the composer writes a sign immediately in front of the note in question. The sign may be a sharp (•) or a flat (•), or it may be a natural (•), which shows that the note is neither sharp nor flat. The natural sign Occasionally, a temporarily cancels out any sharp or flat on that note. These individual signs are called accidentals. F U N D A M E N T A $ L Every key signature is shared by one major and minor key. G Major and E minor, for example, both have sharp: sharp. The F difference that the is keynote of G Major is G, whereas the keynote of E minor is E. one an nlinor The majol and keys that feature the same key signatures are called relative major and minor. E minor is known as the relative minor of G Major. E•, Major is the relative major of C minor. Sometimes composers write of the major piece in relative the minor, other part way around. The difference in mode provides variety to the piece, but the common key signature provides unity. When musicians see key signature, they know what key piece of music is in. If they see three flats, they can tell that the piece is either in E•, Major in C minor. Other factors--looking at the final chord, just listening to the saund--will tell them whether it's the major the minor key. one a or a a or or We have examined the most common consonant chord, the triad (root third fifth). Triads, like scales, can be either major or minor. The third of a major triad is a major third--two whole steps--above the root; with a minor triad, it is a minor third, or 1•, steps. Listen to these chords, paying special attention to the difference in sound be- major tween and minor. major key Each major minor seven notes has a in the scale. The most begin will firming it at important major minor series of chords associated with it. The chords meral, it is sometimes called the piece major minor of these is the tonic formed are chord, built keynote is the first note chord, thereby establishing the key at chord, because the and end with the tonic minor by constructing triads on the keynote. Using on each of the a Roman nuof the scale. More often than not, a the beginning of the piece and reaf- the end. The dominant chord (chord V in a key is second in importance to the tonic chord. It is bulk on the fifth note afthe scale, so the dominant chord in C Major is built (root third fifth G-B-D). Because the dominant on G chord in any key always contains the seventh note in the scale (B in this case), it sounds though it requires as resolution back to the tonic chord. Listen to the chords in each example. You'll hear how the V chord seems to want chord again. Some pieces use only these two chords throughout. to go back to the I v The effect of the I-V-I I V progression is the same whether it is played in C Major or any other key. C H A P T 2 R E punctuation in grammar. They provide stopping points in the flow of the discourse. Stopping points in grammar have varying degrees of strength. A period marks the end of sentence. A comma marks off phrase. A semicolon provides both closure and continuity. Cadences perform these same functions in Cadences in music are like a a a musical context. are three main types of cadence: the authentic cadence, the plagal cadence, and the half cadence. Each of different progression of two chords. consists a The chord progression we just examined is an authentic or full cadence. An authentic cadence consists of a V chord followed by a I chord. It is used to mark the end of sections in a composition or the end of the entire piece. There plagal cadence, the other hand, features IV chord (known the subdominant chord) and I chord. If you play these two chords consecutively, you will notice that the cadence is strident and forthright the authentic cadence. Indeed, the plagal cadence is often called the "Amen" cadence, close it is frequently used hymns liturgical pieces. The on a as a not as as to as or 1V ] or IV The authentic a•nd plagal cadences both end on a tonic chord (I). Both, therefore, can be used by composers end pieces. The haft cadence ends on the dominant (V) chord, though, so it lacks the finality of the authentic to and plag• cadences. It may be preceded by a IV chord or a chord; in either case, it provides a pause at the end of phrase, but not an actual ending. It leaves the listener with the sense that there is more music to come. a musical V or IV V melody is sung without its rhythm, it immediately loses much of its essence. Rhythm is fundamental to Rhythm is built into our bodies as hearthears, or as the motion of our limbs sic as pitch, possibly even so. walking. Rhythm is one of the most important distinguishing features in music. Ira as more mu- in