Pitch Pitch, Frequency, and Octaves: Pitch is the highness or lowness of a sound. When musicians speak of “a pitch” they are referring to a single tone whose highness and lowness do not change and stay constant like A-440. The musical term for the distance (or interval) between A and the next higher or next lower A is called an octave. Pitch on a Keyboard: High-sounding pitches are to the right; low sounding pitches are to the left. The distance between any two adjacent keys on the keyboard is called a half step, or semitone. A whole step is the distance between every other key. White keys are called natural keys and the symbol that represents a natural note is â™®. The signs ♯ (sharp) and â™ (flat) indicate that a given pitch, such as Aâ™®, has been raised or lowered, respectively, by a half step. Pitch on a Staff: Music notation uses a five-line staff as a type of ladder to indicate pitches. Each line or space on the staff is assigned to a letter of the musical alphabet—but the assignment can vary, depending on the clef symbol at the left-hand end of the staff. There are three types: treble clef, the bass clef, and the C-clef. When the C-clef indicates that the pitch C should be placed on the middle line of the staff, we call it the alto clef. But, if the C-clef is centered on the fourth line from the bottom of the staff, it is called the tenor clef. Pitch on the Grand Staff: In piano music, two bracketed staves, known as the grand staff, are used. The left hand plays the music notated on the lower staff, typically containing a bass clef, while the right hand plays the notes on the upper staff, which usually contains a treble clef. Pitches corresponding to the keyboard's white and black notes are labeled on the grand staff. It is also noted that in prose, sharp or flat symbols follow the letter (e.g., F♯, Aâ™), but precede the notehead when written on a staff. Overtones and Partials: Very few pitches consist of a single frequency. Typically, one frequency predominates while many other frequencies are present at faint volumes. For instance, when a guitar's A string is plucked, the dominant sound wave produced is at 110 Hz, but there are numerous other waves resonating simultaneously. These include waves that are half, one-third, one-quarter, etc., the length of the string. The lowest A is termed the fundamental, being the loudest and strongest. However, it is characterized by the subtle presence of higher pitches known as partials or overtones. Equal Temperament: Generating the Twelve Pitches by Dividing the Octave: In the world of pure sound waves and overtones, pitches follow mathematical patterns. But, in the Western tradition, after about 1750, a system of tuning called equal temperament became dominant. Scales: Leading Tone, Tonic, Dominant: Western composers choose a set of seven pitches as the basis for a piece of music. When arranged in ascending order, it is known as a diatonic scale. The seventh scale degree is known as the leading tone. In the C major scale and the melodies that use it, C is the anchor, sometimes called the “resting tone” and mostly known as the tonic pitch. The fifth-scale degree, called the dominant pitch is nearly as important as the tonic because it functions like a second gravitational center that sets melodies in the Intervals: The distance between any two pitches is called an interval. The smallest distance between any two adjacent keys on the piano is a half step (or semitone). Any interval can be performed so it is harmonic (the two pitches occur simultaneously) or melodic, with the two pitches occurring in succession(ascending or descending). Intervals of the Major Scale: A scale can be described as a succession of whole
and half steps (or major seconds and minor seconds). By using that same sequence of melodic intervals, you can create a major scale starting on any key of the piano. Minor Scales and Blues Inflections: The next most common scale is the minor scale. There are three slightly different varieties: natural (or pure) minor, harmonic minor, and melodic minor. C natural minor and E♠major are called relative major and minor because they use the same seven pitches but have different tonics. This relationship remains even when the natural minor is altered to create harmonic or melodic minor scales. In contrast, scales that start and end on the same tonic pitch are referred to as parallel. Relative scales are perceived as more closely related than parallel scales due to sharing the same collection of pitches. A scale with blues inflictions combines elements of both major and minor scales. Melody Defined; Example, Using Scale Degrees:  A melody is a series of successive pitches perceived by the ear to form a coherent whole. Only one pitch occurs at a time in a melody; if two pitches occur together, you have either harmony or counterpoint. Contour: All melodies have a contour, or profile. A conjunct melody moves smoothly, in stepwise motion(an example being “Row, Row, Row Your Boat). A disjunct melody, on the other hand, contains proportionally more leaps (intervals larger than a major second). Melodies may ascend, descend, or move in a wavelike manner. A very common contour for melodies is that of an arch. Range and Tessitura: Every instrument (including the human voice) has a range of possible pitches that it is capable of producing. The high, middle, and low parts of an instrument’s range are often called the high, middle, or low register. A melody with a high tessitura calls for more pitches in the performer’s high register than does a melody with a medium or low tessitura. music. A female singer who performs most comfortably in a high tessitura is called a soprano; a lower-register female singer is called an alto. For men, the higher register is called tenor, while a low-register male voice is a bass
Rhythm - a audible collection of varying durations Beat: Beat is the steady pulse that underlies most music. Sometimes the beat is audible, sometimes not, but it is present, like the silent or ticking second hand on a mechanical clock. Tempo: The speed of the beat is called the tempo. The terms that can be used to describe the speeds of a tempo are in Italian. Tempo can slow down (ritardando) or speed up (accelerando), and it can do either gradually (poco a poco) or suddenly (subito). When there is no steady tempo—which is the same as no discernable beat—music is said to be unmetered. If there is a perceived beat, but it speeds up and slows down for expressive effect, it is called rubato. Meter: Duple, Triple, and Quadruple: All beats are of equal length, but not all beats are of equal importance. Normally, beats are grouped into measures (or more informally, bars), which are separated by bar lines. The first beat of any measure is usually the strongest, so it is customarily called the downbeat or strong beat. Meter describes the pattern of emphasis superimposed on groups of beats. In general terms, meters are duple, triple, quadruple, or irregular (also called asymmetrical). The song “Happy Birthday,” with its groupings of
three beats, is in triple meter as is shown in Figure 1–12. The first word falls before the downbeat. This is called a “pickup” or anacrusis Rhythmic Notation: A variety of symbols indicate how long a note should last. An oval note, called a whole note, is the longest. A stem can be added to symbolize that that note has been cut in half. When the note head is solid black with a stem, it is a quarter note. When a flag is added to the stem of that note, it is known as an eighth note. note. Additional flags can be added, each subdividing the value of the note by half again: Time Signature: In music notation, the meter is indicated with a time signature, which usually consists of two numbers. The lower number indicates a durational value, with 2 meaning the half note, 4 the quarter note, 8 the eighth, and 16 the sixteenth note. (This is not a fraction! Note that there is no line between the two numbers.) The upper number indicates how many of those durational values (or their equivalents) will occur in one measure. Thus, if the time signature is 6/8 , the measure will contain the combined time value of six eighth notes. Two other symbols are often used to represent the time signature: a large capital C (called “common time”) is equivalent to 4/4 time, and a vertical slash through the C indicates that the time signature is 2/2 ; this symbol is usually called “cut-time,” Simple and Compound Subdivision: Each beat is typically divided in half, known as simple subdivision (1 & 2 & 3 & or 1 & 2 & 3 & 4 &). When a beat is divided into three equal parts, it is considered compound subdivision. For instance, a 6/8 meter can be counted as 1 2 3 4 5 6 or in compound subdivision as ONE-&-a TWO-&-a. Examples like "Sumer is icumen in" and the “Irish” melody in Global Warming demonstrate compound subdivision, while “Flight of the Bumblebee” exemplifies simple subdivision. In swing music, rhythms are notated in 4/4 time but played as if in 12/8. Mixed and Irregular Meter: Mixed meter and irregular or asymmetrical meter are variations on the grouping of beats. beats. In mixed meter, measures that have different meters occur in rapid succession. Irregular meter features measures that have different meters alternating in an irregular pattern(ex. ONE-two-three-ONE-two-three…). When two or more meters are operating simultaneously, it is referred to as a polymeter. Syncopation: Rhythm is syncopated when accented or emphasized notes fall on weak beats or in between beats. The rhythms in “Happy Birthday” are regular and coincide with the beat, so it is not considered syncopated. Polyrhythm: Polyrhythm, also called cross-rhythm, occurs when two conflicting rhythmic patterns are present simultaneously. Harmony:
Harmony - occurs whenever two or more tones are sounding simultaneously. Common-Practice Tonality: Common-practice tonality (also called common-practice harmony) is the system of organizing pitch and harmony that we find intuitive today in Western cultures. Chords: A chord is three or more pitches sounding simultaneously. Triads: A triad is a three-note chord consisting of two intervals of a third and comes in four qualities: major, minor, diminished, and augmented. Major Triad (M): Has a major third interval between its lower two pitches and a minor third above. Minor Triad (m): Has a minor third on the bottom and a major third above. Diminished Triad (d): Composed of two minor thirds. Augmented Triad (A): Composed of two major thirds.
Triads are built above each note of the scale and are fundamental chords in music. In a triad, the lowest note is the root, the middle note is the third, and the highest note is the fifth. Inversions: Any pitch of a triad can be moved up or down any number of octaves. When the third of the triad is on the bottom, the chord is in first inversion. When the fifth one is on the bottom, it's in its second inversion. Any triad may be inverted. The bottom pitch determines the inversion.
Keys Keys and Key Signatures: The key signature is a set of sharps or flats at the beginning of every staff that indicates the key of the music. Hierarchy of Keys: Circle of Fifths: Key signatures fall into a fascinating pattern. Remember, there are fifteen major scales. There are also fifteen minor scales. Each scale corresponds to a key of the same name. And, each major scale contains the same pitches as one of the natural minor keys. (Remember the example in Figure 1–10: C minor is the relative minor of E♠major; E♠is the relative major of C minor.)
d. Harmonic Progression: A harmonic progression is a series of chords or intervals that moves from tension (dissonance) toward resolution (consonance). A chain of triads, each pulling to the next, is called a chord progression. More often, some of the chords are inverted to create what is called smoother voice leading. Dissonance and Consonance: Dissonance is the quality of a pitch, interval or chord that makes it seem “unstable” or tense. Dissonance is relative. The most consonant chords are the ones that stress the lower partials on the overtone series. Diatonic Triads: Diatonic means “within the key”. A chord/melody is diatonic if no accidentals are needed other than those already indicated in the key signature. If a melody/chord borrows notes from outside the key, then it is chromatic. The tonic triad is a diatonic triad built on the tonic pitch. A diminished triad is highly unstable. The Dominant Triad’s Special Role: Other harmonies, in turn, “pull” to the dominant: these are called pre-dominant harmonies. The triads built on the second and fourth scale degrees (ii—also called the supertonic, and IV, the sub-dominant) are the most common predominant harmonies. Bass Lines: The bass line is the lowest “voice” in a series of chords. It provides the finishing touch, reinforcing the forward pull of the progression. Bass lines often, but not always, play the root of the harmony. Bass lines are usually notated in bass clef. Cadences are pausing points. The Dominant Seventh Chord: To intensify its pull to the tonic triad, the dominant triad is often turned into a dominant seventh chord, or V to the 7th. Example: A Harmonized Melody: The song “Happy Birthday” can serve to illustrate the idea of harmonic progression. In Figure 1–29, it is harmonized with diatonic triads and labeled with Roman numerals.
Other Diatonic Chords: As common-practice harmony evolved after 1750, composers began to embellish triads with additional pitches, typically a sixth, seventh, or ninth above the root. These embellishments can be arranged in close or open position while maintaining the root in the bass. Besides the dominant-seventh chord, other diatonic seventh chords can enhance complexity, built by adding a seventh above the root to any diatonic triad. This addition enriches the original triad's sound without changing its function. Chromatic Harmonies and Modulation: Simple harmony is diatonic, and it uses mostly triads. Complex harmony uses more chromatic pitches, and four or more separate pitches may sound at the same time. Beyond Common Practice: Modulation and chromatic harmonies allowed composers to write music that strayed further and further from the “home base” tonic. Compositions could be longer and longer and more and more chromatic. Composers generally pursued these changes in order to be more expressive. Throughout common practice, resolution of dissonance is the driving force behind harmony. In the nineteenth century, many Romantic composers sought out new ways to portray emotion and individuality in music. Musicians use complex chromatic harmonies to express subtle emotions, often delaying resolution to the tonic. In 1910, Arnold Schoenberg proposed the 'emancipation of dissonance,' allowing music to exist without traditional resolution, leading to atonal music. He later developed the 'twelve-tone method' in 1925, using a unique tone row of twelve pitches for each piece. This approach influenced composers like Webern and Berg, and grew popular post-World War II. Other composers, such as Debussy and Stravinsky, explored unconventional harmonies, scales, and polytonality, contributing to a shift towards more static and meditative music forms.
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