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  • Slide 1
  • Slide 2
  • Slide 3
  • Tetrachords Major scales The magic phone number ALL major key signatures Chromatic scale Circle of Fifths Generic intervals
  • Slide 4
  • Perfect and Major intervals (diatonic) Minor, Dim., & Aug. intervals (chromatic) Transposition Sixteenth notes & sixteenth rests Dotted eighth/sixteenth rhythm Common Time & Cut Time Compound meter Triads & Seventh chords
  • Slide 5
  • The word TETRA means four. A TETRACHORD is a series of four notes having a pattern of: whole step, whole step, half step A G tetrachord would be: G ( W ) A ( W ) B ( H ) C A C tetrachord would be: C ( W ) D ( W ) E ( H ) F
  • Slide 6
  • A MAJOR SCALE consists of eight notes: two tetrachords joined by a whole step W W H W W W H Each scale begins and ends on the same note, called the keynote or TONIC. The tones of a scale are also called the DEGREES or steps of a scale. The are eight (8) scale degrees in a major scale. In a major scale, half steps occur between scales degrees 3 & 4 and 7 & 8. 1 ( W ) 2 ( W ) 3 ( H ) 4 ( W ) 5 ( W ) 6 ( W ) 7 ( H ) 8
  • Slide 7
  • W W H W W W H
  • Slide 8
  • Using the same pattern for tetrachords of W, W, H, you can build other major scales. The sharp scales are: G Major D Major A major E major B major F# major C# major
  • Slide 9
  • Starting with the C major scale, the 2 nd tetrachord is always the 1 st tetrachord of the following sharp scale. This overlapping pattern continues through all of the major sharp scales. The 2 nd tetrachord of the C major scale is the first tetrachord of the G major scale. The 2 nd tetrachord of the G major scale is the first tetrachord of the D major scale.
  • Slide 10
  • Starting with the C major scale, the 5 th scale degree is always the 1 st scale degree (keynote/tonic) of the following scale. This pattern continues through all major flat scales. The 5 th scale degree of the C major scale (G) is the 1 st scale degree of the G major scale. The 5 th scale degree of the G major scale (D) is the first scale degree of the D major scale.
  • Slide 11
  • Using the same pattern for tetrachords of W, W, H, you can build other major scales. The flat scales are: F major Bb major Eb major Ab major Db major Gb major Cb major
  • Slide 12
  • Starting with the C major scale, the 4 th scale degree is always the 1 st scale degree (keynote/tonic) of the following scale. This pattern continues through all major flat scales. The 4 th scale degree of the C major scale (F) is the 1 st scale degree of the F major scale. The 4 th scale degree of the F major scale (Bb) is the first scale degree of the Bb major scale.
  • Slide 13
  • In musical notation, a key signature is a series of sharp or flat symbols placed on the staff, designating notes that are to be consistently played one half step higher or lower than the equivalent natural notes unless otherwise altered with an accidental. Key signatures are generally written immediately after the clef at the beginning of a line of musical notation, although they can appear in other parts of a score, notably after a double bar. Key signatures are generally used in a score to avoid the complication of having sharp or flat symbols on every instance of certain notes. Each major and minor key has an associated key signature that sharpens or flattens the notes which are used in its scale.
  • Slide 14
  • To make the reading and writing of music easier, you can place all of the sharps or flats used in a piece or scale immediately after the clef sign. This is called the KEY SIGNATURE. It indicates the notes that will be sharped or flatted each time they appear for the entire piece (or until the key signature changes).
  • Slide 15
  • To figure out the name of a major [ sharp ] key from the key signature, go up a half step from the last sharp. A key signature of F# would be the key of G major. A key signature of F# & C# would be D major. To figure out the name of a major [ flat ] key from the key signature, remember that one flat is in the key of F. For two or more flats, the secondtolast flat is the name of the key. A key signature of Bb & Eb would be the key of Bb major.
  • Slide 16
  • Order of sharps: F C G D A E B ( F at C ats G o D own A lleys E ating B irds.) Naming: step up from last sharp
  • Slide 17
  • Order of flats: B E A D G C F ( BEAD G o C all F red!) Naming: 2 nd tolast flat
  • Slide 18
  • Slide 19
  • The CHROMATIC SCALE is made up entirely of half steps in consecutive order. On a keyboard, a chromatic scale uses every key; black and white. When a chromatic scale goes up, it is called ASCENDING (use sharps). When a chromatic scale goes down, it is called DESCENDING (use flats). A chromatic scale may begin or end on any note. In a chromatic scale, there are 12 pitches (vs. 8 in a major scale).
  • Slide 20
  • An INTERVAL in music is the distance in pitch between two notes. An interval is counted from the lower note to the higher note, with the lower note counted as 1 (count every line and space going up the staff). Intervals are names by the number of the upper note (2 nd, 3 rd, 4 th, 5 th, 6 th, 7 th ) with two exceptions: The interval that is between notes that are identical is called a UNISON (unis.) (or a prime).
  • Slide 21
  • An interval of an 8 th is called an octave (8va). Melodic intervals are sounded separately. Harmonic intervals are sounded together. Even numbered intervals (2 nd, 4 th, 6 th, 8va) are written from line to space or space to line. Odd numbered intervals (unis., 3 rd, 5 th, 7 th ) are written from line to line or space to space. Two note combinations are also known as dyads. We will eventually qualify intervals by type, as well as distance (major, minor, diminished, augmented, perfect).
  • Slide 22
  • The CIRCLE OF FIFTHS is useful in understanding scales and key signatures. It shows the relationship of one key to another by the number of sharps or flats in the key signature and the order in which those sharps or flats occur. More specifically: It shows the relationships among the 12 tones of the chromatic scale, their corresponding key signatures, and the associated major and minor keys.
  • Slide 23
  • Sharp keys go clockwise in ascending tetrachord order. Flat keys go counterclockwise in descending tetrachord order. The sharp keys ascend by 5ths (or descend by 4ths). The flat keys ascend by 4ths (or descend by 5ths).
  • Slide 24
  • C (no sharps) G (1 sharp F#) D (2 sharps F# & C#) A (3 sharps F#, C#, G#) E (4 sharps F#, C#, G#, D#) B (5 sharps F#, C#, G#, D#, A#) F# (6 sharps F#, C#, G#, D#, A#, E#) C# (7 sharps F#, C#, G#, D#, A#, E#, B#)
  • Slide 25
  • C (no sharps) F (1 flat Bb) Bb (2 flats Bb & Eb) Eb (3 flats Bb, Eb, Ab) Ab (4 flats Bb, Eb, Ab, Db) Db (5 flats Bb, Eb, Ab, Db, Gb) Gb (6 flats Bb, Eb, Ab, Db, Gb, Cb) Cb (7 flats Bb, Eb, Ab, Db, Gb, Cb, Fb)
  • Slide 26
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  • Slide 28
  • An interval is the distance between two pitches. The interval is counted from the lower note to the higher note, with the lower note counted as 1 (count every line and space going up the staff). Intervals are names by the number of the upper note (2 nd, 3 rd, 4 th, 5 th, 6 th, 7 th ) with two exceptions: The interval that is between notes that are identical is called a UNISON (unis.) (or a prime).
  • Slide 29
  • An interval of an 8 th is called an octave (8va). Melodic intervals are sounded separately. Harmonic intervals are sounded together. Even numbered intervals (2 nd, 4 th, 6 th, 8va) are written from line to space or space to line. Odd numbered intervals (unis., 3 rd, 5 th, 7 th ) are written from line to line or space to space. Two note combinations are also known as dyads.
  • Slide 30
  • Perfect Intervals: Unison 4 th 5 th Octave Major Intervals: 2 nd 3 rd 6 th 7 th
  • Slide 31
  • When the tonic and the upper note of an interval are from the same major scale, it is called a diatonic interval. All diatonic intervals in the major scale are either perfect (P) or major (M). This is true for ALL major scales. P1 = perfect unison P8 = perfect octave P1, M2, M3, P4, P5, M6, M7, P8
  • Slide 32
  • When the interval between the two notes of a major interval (2 nd, 3 rd, 6 th, or 7 th ) is decreased by a HALF step, it becomes a minor interval. A small letter m is used to signify a minor interval. Only major intervals can be made into minor intervals; perfect intervals cannot.
  • Slide 33
  • Augmented = to be made larger When a perfect or major interval is made larger by a HALF step, it becomes an augmented interval. To raise a sharp note by a half step, use a double sharp.
  • Slide 34
  • Diminished = to be made smaller With the exception of a perfect unison, any perfect or minor interval that is made smaller by a HALF step becomes a diminished interval. To lower a flat note by a half step, use a double flat. Since lowering either note of a perfect unison would actually increase its size, the perfect unison cannot be diminished; only augmented.
  • Slide 35
  • Perfect: Unison (unis.), 4 th, 5 th, octave (8va) Major: 2 nd, 3 rd, 6 th, 7 th Minor: 2 nd, 3 rd, 6 th, 7 th Augmented: unis., 2 nd, 3 rd, 4 th, 5 th, 6 th, 7 th, 8va Diminished: 2 nd, 3 rd, 4 th, 5 th, 6 th, 7 th, 8va
  • Slide 36
  • Compound intervals are intervals that are larger than an octave are called compound intervals. A melodic (horizontal) interval is two pitches sounded successively (one after the next). A harmonic (vertical) interval is two pitches sounded simultaneously.
  • Slide 37
  • When the tonic and the upper note of an interval are NOT from the same major scale, it is called a chromatic interval. Minor, augmented, and diminished intervals are always chromatic intervals in all major keys. Chromatic intervals are the opposite of diatonic intervals.
  • Slide 38
  • When the tonic and the upper note of an interval are from the same major scale, it is called a diatonic interval. Perfect and major intervals are always diatonic intervals in all major keys. When the tonic and the upper note of an interval are NOT from the same major scale, it is called a chromatic interval. Minor, augmented, and diminished intervals are always chromatic intervals in all major keys.
  • Slide 39
  • Solfge is a system of note reading that assigns a different syllable to each scale degree in a major scale. 1 = Do 2 = Re 3 = Mi 4 = Fa 5 = Sol 6 = La 7 = Ti 8 = Do
  • Slide 40
  • MOVEABLE DO = the syllables apply to the same scale degrees, regardless of what key you are in. When a melody is rewritten into another key with the exact same sequence of notes and intervals, it is called TRANSPOSITION. This raises or lowers the notes to make a melody easier to sing or play, or so it can be played by an instrument in a different key.
  • Slide 41
  • The easiest way to transpose is by interval. In the eleventh century, the music theorist, Guido of Arezzo, developed a sixnote ascending scale that went: ut, re, mi, fa, sol, and la. A seventh note, si was added shortly after. The names were taken from the first verse of the Latin hymn, Ut queant laxis,where the syllables fall on their corresponding scale degree. Ut queant laxis re sonre fibris Mi ra gestorum fa muli tuorum, Sol ve polluti la bii reatum, Sancte Iohannes.
  • Slide 42
  • Add a flag to the stem of a quarter note and it becomes an eighth note. Add a flag to the stem of an eighth note and it becomes a sixteenth note. In 4/4 time, two sixteenth notes = 1 eighth note. In 4/4 time, four sixteenth notes = 1 quarter note. In 2/4, 3/4, & 4/4 time, a sixteenth note is worth of a beat; one beat is divided into four equal parts (1 e & a, etc.) Sixteenth notes can be drawn with flags attached to the stem, or with 2 beams for two or more sixteenth notes.
  • Slide 43
  • Remember: A dot after a note increases its length by one half of its original value. An eighth note = two sixteenth notes. A dotted eighth note = three sixteenth notes. A dotted eighth note is almost always followed by a sixteenth note. Hierarchy: Dotted half note (3) --- usually followed by a quarter note/rest Dotted quarter note (1) --- usually followed by an eighth note Dotted eighth note () --- usually followed by a sixteenth note
  • Slide 44
  • In music, alla breve (also sometimes called cut time or cut common time ) refers to a musical meter notated by the time signature symbol (a broken circle with a line through it), which is the equivalent of 2/2. Alla breve is a simple-duple meter with a half-note pulse. Common time is the equivalent of 4/4. In contemporary usage alla breve suggests a fairly quick tempo. Thus, it is used frequently for military marches. From about 1600 to 1900, its usage varied with regard to tempo varied, so it cannot always be taken to mean a quick tempo.
  • Slide 45
  • 1 & uh, 2 & uh, 3 & uh, 4 & uh Compound meter refers to any time signature or meter in which each measure is divided into three or more parts, or two uneven parts, calling for the measures to be played with primary and secondary metric accents. In Western music, the predominant form of compound meter is the division into three parts, often preferring to reduce a higher number of parts to written time signature changes, but more parts are possible. 3/8, 6/8, 9/8, 12/8, 6/4, 7/4, 7/8, 5/4, 5/8, etc. 6/8 time both simple and compound? What? America West Side Story: Both 6/8 and 3/4
  • Slide 46
  • Slide 47
  • 3/8 Time: 3 beats to a measure/eighth note gets one beat. 3/8 is often felt in one ( 1, 2, 3) [strong beat on 1). 6/8 Time: 6 beats to a measure/eighth note gets one beats. 6/8 is often felt in two ( 1, 2, 3 4, 5, 6) [strong beats on 1 & 4. Extensions: 9/8 (felt in three) [strong beats on 1, 4, & 7]. 12/8 (felt in four) [strong beats on 1, 4, 7, & 10].
  • Slide 48
  • Both 7/4 & 7/8 can be felt/pulsed in two ways: 1 2, 1 2, 1 2 3 1 2 3, 1 2, 1 2
  • Slide 49
  • A chord with 3 notes (A chord is a group of three or more notes played together) Each note is a specific interval from the next
  • Slide 50
  • FIFTH=top note THIRD=middle note ROOT=Bottom note
  • Slide 51
  • WARNING! The root, third, and fifth will not ALWAYS be in that order!
  • Slide 52
  • Major Minor Diminished Augmented
  • Slide 53
  • M3 + m3 (P5) Created by taking the 1 st, 3 rd, and 5 th notes of a major scale
  • Slide 54
  • m3 + M3 (P5)
  • Slide 55
  • m3 + m3 (dim 5)
  • Slide 56
  • M3 + M3 (aug 5)
  • Slide 57
  • TONIC (I/i) SUPERTONIC (II/ii) MEDIANT (III/iii) SUBDOMINANT (IV/iv) DOMINANT (V) SUBMEDIANT (VI/vi) LEADING TONE [SUBTONIC] (VII/vii)
  • Slide 58
  • MajorMajor seventh (M7) Major triad + Major 3 rd Majorminor seventh (V7) Major triad + minor 3 rd minorminor seventh (m7) minor triad + minor 3 rd halfdiminished seventh ( 7) diminished triad + Major 3 rd diminished seventh ( 7) diminished triad + minor 3 rd
  • Slide 59
  • Add a minor 7 th to the root of a V triad (or a minor 3 rd above the 5 th ). The V7 chord is a chord and not a triad because it has 4 notes rather than 3. Often, the 5 th of a V7 chord is omitted. The V7 chord then has the same number of tones as the I and IV chords while still retaining the quality of a 7 th chord.
  • Slide 60
  • When three notes are grouped together with a figure 3 above or below the notes, the group is called a TRIPLET. The 3 notes are played in the time of 2 notes of the same value. Counted: 1 trip let, 2 trip let Counted: Trip a let, etc.
  • Slide 61
  • Some pieces of music begin with an incomplete measure. This note (or notes) is known as a PICKUP note. The beats that are missing in the first measure are made up in the last measure, often meaning the last measure will have fewer than the required number of beats.
  • Slide 62
  • When the accent in a musical passage falls on the weak beat (&) rather than on the strong beat (1, 2, 3, 4, etc.), it is called SYNCOPATION.