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FUNDAMENTALS OF MUSIC Chapter One – Pitch The term " pitch " is used in music to describe the aspect of music that is high or low (i.e. A singer can sing a high note or a low note) This should not be confused with loud or soft but instead is a description of a high pitch (like a child's voice) or a low pitch (like a man with a deep voice)
The scientific measurement of a note's " Pitch " is called its  Frequency . Frequency is measured in units  called Hertz (Hz).  Hertz is a measurement of the number of cycles of the waveform that will occur with the time period of one second. (Cycles per second) = hertz.
A-440 hz is the standard tuning note for Western Culture. In other words the tone "A" (vibrating at 440 cycles per second) is the tuning reference from which all the instruments are tuned.
Music terminology used for describing pitch is the first seven letters of the alphabet.   A B C D E F G This alphabetical arrangement of the note names creates the A natural minor scale commonly used in music.
Many of the examples used throughout music focus on the note "C". Because of this fact it is sometimes useful to think of the music alphabet as being arranged as follows: C D E F G A B That arrangement of the note names creates a common scale called the  C major scale .
SOLFEGE EQUIVALENT FOR LETTER NOTES C D E F G A B C= do G = so D= re A = la E= mi B = ti F= fa
The complete cycle of letter names comprises one register of sound called an  Octave .  The letter names are reused in higher registers of pitch so that each octave contains the same number of possible notes.
The full range of pitches is divided into different registers named  OCTAVES . (Two notes that are one octave apart have the same letter name, however the frequency of the higher note is twice that of the lower note) Each octave is comprised of the complete musical alphabet
Keyboard landmarks A-440 is the first A note above middle C on the piano. The diagram below shows A-440 in  relation to middle C.
Guitar landmarks note: The guitar sounds one octave lower than it is written. Because of this fact, the notation of the above note will appear to be one octave higher than the corresponding note on the piano.  
Music Notation Western music uses a graphic notation system consisting of a 5 lines and 4 spaces which is called  STAFF.  Noteheads are placed on the line or space positions of the staff.
Clefs At the beginning of a piece of music notation a CLEF is placed upon the staff . The purpose of the clef is to assign a specific letter name to the different line and space positions of the staff.
Two Clefs used are the TREBLE CLEF and BASS CLEF Each clef assigns different letters to the staff positions. (i.e. The bottom line in treble clef is "E" and the bottom line in bass clef is "G".)
Treble Clef (G clef) The treble clef is drawn similar to a backwards "S". The scroll part of the "S" is spiralling towards the second line which is defined as the musical letter "G". Because of the physical feature the treble clef is sometimes referred to as the "G" clef. Once the second line is defined as G then all of the other line and space positions are defined using an alphabetical sequence.
  G (space above the staff)   E (top space) F (top line) C (third space) D (fourth line) A (second space) B (middle line) F ( first space) G (second line) D (space below the staff) E ( bottom line)
Use the following phrases to memorize the positions of the treble clef: (LINES from bottom to top) Every Good Boy Does Fine (E G B D F) Alternate Mnemonics:  Empty Garbage Before Dad Flips   Elvis Goes Boogeying Down Freeways
The letter name of the spaces from bottom to top spell FACE.
Bass clef (F clef) The Bass clef is drawn similar to a backwards "C" with two dots above and below the fourth line of the staff. The fourth line of the Bass clef is defined as the musical letter "F". The Bass clef is sometimes referred to as the "F" clef.
Once the fourth line is defined as F then the other line and space locations are defined using an alphabetical sequence;   
F (space below the staff) G (bottom line) A (first space) B (second line)  C (second space) D (third line) E (third space) F (fourth line) G (fourth space)  A (top line) B (space above the staff).
Use the following phrases to memorize the positions of the bass clef: (lines from bottom to top) Good Boys Do Fine Always (G B D F A)
  (spaces from bottom to top) All Cows Eat Grass ( A C E G )
Grand Staff or Great Staff
The Treble Clef Staff and the Bass Clef Staff are often used together to create the  Great or Grand Staff.  Notes in the treble clef are in a higher octave than the notes of the bass clef, therefore the Treble Clef Staff is placed above the Bass Clef Staff.
Ledger lines Many instruments have a range that exceeds the range of the Grand staff. The range of the staff can be extended with the use of ledger lines. Ledger lines are added to create additional lines or spaces, either above or below a staff. As an example, in treble clef, the space above the staff is G, the first ledger line above the staff is A,  the space above the first ledger line is B, the second ledger line is C, the space above the second ledger line is D, and so on.
 
Notes on ledger lines (and spaces) above the staff in treble clef
Notes on ledger lines (and spaces) below the staff in treble clef
Notes on ledger lines (and spaces) below the staff in bass clef
Notes on ledger lines (and spaces) above the staff in bass clef
Middle C The note in treble clef, one ledger line below the staff, is the same note as the note in bass clef, one ledger line above the staff. That note is called "Middle C" because it is in the middle of the treble and bass clefs (and it is approximately in the middle of the standard keyboard).
When middle C is used in a phrase that includes notes in the treble clef then the ledger line is placed closer to the treble clef staff. Likewise, when the note is part of a phrase in the bass clef staff then the ledger line will be closer to the bass clef staff.
Middle C is shown below in both Bass and Treble clefs. The specific musical situation will usually dictate which of the two is more appropriate.
Chapter Two - Keyboard   Music theory usually is easier to grasp when it is applied to and experienced on a musical instrument. This chapter will relate the musical alphabet and other musical ideas to the keyboard (piano, organ or synthesizer) and guitar fretboard. For those who have no prior instrumental experience it is suggested that you study the sections on keyboard. Guitarists who have playing experience but little or no theory background will find the section on guitar of interest.
Half step the smallest interval in the 12-tone system, used as the basic unit with which to measure the size of other intervals. The abbreviation "H" is used often throughout this book. On other occasions the number 1 is used as an abbreviation for a half step.
Whole-step A whole step is two half steps in size. The abbreviation "W" is used throughout this book. On other occasions the number 2 is used as an abbreviation for a whole step.  
Sharp example: C# A sharped note is one half-step higher than the natural letter name, this is often (but not always) a black key on the keyboard. Examples; C# is one half-step higher than C, F# is one half-step higher than F.
Flat example: E b A flatted note is one half-step lower than the natural letter name, this is often (but not always) a black key on the keyboard. Examples; Eb is one half-step lower than E, and Bb is one half-step lower than B.
Natural example: C natural A natural note is the same as the original letter name. The term is usually used to make clear that a previously sharped or flatted note has been restored to its natural letter name. The following example shows C-sharp then E-flat followed by C and E (both natural).
 
Octave An octave is the distance of 12 half steps. The musical alphabet along with the terms "sharp" and "flat" are used to assign names for all of the notes in one octave range. Additional octaves (using the same names) are added as needed to accommodate the different instrumental and vocal ranges.
Keyboard Half steps on the Keyboard The following animated graphic shows all of the consecutive half steps intervals for one octave of the keyboard.
The interval of a half-step occurs between any note (white key or black key) and its immediate adjacent neighbor. Most white keys have a black key the interval of one half-step away except for the half-step intervals between B-C and E-F (there is no black key between B and C or between E and F). All black keys have a white key the interval of one half-step away.
Whole steps on the Keyboard Most adjacent white keys (C-D, D-E, F-G, G-A, and A-B) are the interval of a whole-step away. Most adjacent black keys (C#-D#, F#-G#, and G#-A#) are the interval of a whole-step away. Other whole-step combinations include B-C#, E-F#, Bb-C, and Eb-F.
The following animation shows a series of whole steps, first from the note C then from the note C#.
The Keyboard is considered the best instrument on which to demonstrate music theory concepts. All musicians can benefit from the study of the keyboard. The first task is memorizing the letter names of the white keys on the keyboard. Notice the pattern of the black keys (2 black keys, 3 black keys, 2 black keys, 3 black keys, etc.). A landmark white key note lies to the immediate left of the group of 2 black keys. Those white keys are called "C".
 
Another landmark white key lies to the immediate left of the group of 3 black keys. Those white keys are called "F"
The other letter names of the musical alphabet are assigned to the remaining white keys as shown below.  (from left to right C,D,E,F,G,A,B,C,D,E,F,G,A and B)   Using the treble clef, the letter names are C,D,E,F,G,A,B,C,D,E,F,G,A and B.
Using the bass clef, the letter names are also C,D,E,F,G,A,B,C,D,E,F,G,A and B. These notes are two octaves lower than the notes shown above in Treble Clef. The pattern is repeated up and down the full range of the keyboard .
Although the black keys have a different look about them, one must understand that they are notes just the same as the white keys and are used to create music just as the white keys are used. They are arranged in such a way as to help keyboard players literally "feel" their way around the musical alphabet. The black keys are the notes that have the "sharp" and "flat" names.
  First the notes that have "sharp" names. B# C# D# E# F# G# A# B# C# D# E# F# G# A# B#
The black keys are used for 5 of the 7 "sharp" note names and these 5 are the most commonly used of the sharp notes. Two less frequently used sharps are also available: B# and E#. These notes are enharmonic to C and F respectively (that is , they are white keys!). Since a sharp raises any note one half-step and it has previously been noted that the interval between B-C and E-F is a half-step, it is logical that B# and E# would sound the same as C and F respectively . This is the first of many enharmonic situations that illustrates how 12 tones can accommodate 21 different names.
The notes with "flat" names are shown below.   Db Eb Fb Gb Ab Bb Cb Db Eb Fb Gb Ab Bb  
Whole note = 4 beats = o Half note  = 2 beats = d Quarter note = 1 beat = shaded d Eight note = ½ beat = shaded d with one flag Sixteenth note = ¼ beats Thirty second note = 1/8 beats
Note Values and Rhythms In music notation, a note is used to represent the sounds of the music. The notes tell the performer the pitch and the duration and the sound. In this chapter the note's duration values will be studied, as well as the general topic of rhythm. First examine the following diagram of an "eighth note" and make note of the different elements that make up the note value.  
 
 
Note Values
 
Faster note value of 32nd notes (three flags) and 64th notes (four flags) are also available when needed.
Dotted notes  
The following table shows the note values and their equivalent rests.  
Ties  
Tempo   Tempo term  Speed of the pulse Presto  Extremely fast   Vivace  Quick, lively Allegro  Fast, cheerful   Moderato  Moderate speed Andante  Walking speed Adagio  Slow, at ease Lento  Slow Largo  Very Slow
Meter A Meter signature (or time signature) is a set of two numbers, one placed on top of the other, used to express: 1) top the number of pulses in the meter pattern and 2) bottom the type of note that will represent the pulse.
 
two count rhythms
three count rhythms
four count rhythms
Key Signatures Treble Clef   1) The first sharp, F# is always placed on the top line, (never on the first space). 2) The second sharp, C# is always placed on the third space. 3) The third sharp, G# is always placed on the space above the staff, (never on the second line). 4) The fourth sharp, D# is always placed on the fourth line. 5) The fifth sharp, A# is always placed on the second space. 6) The sixth sharp, E# is always placed on the top space, (never on the first line). 7) The seventh sharp, B# is always placed on the third line
 

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Fundamentals Of Music 2010

  • 1. FUNDAMENTALS OF MUSIC Chapter One – Pitch The term " pitch " is used in music to describe the aspect of music that is high or low (i.e. A singer can sing a high note or a low note) This should not be confused with loud or soft but instead is a description of a high pitch (like a child's voice) or a low pitch (like a man with a deep voice)
  • 2. The scientific measurement of a note's " Pitch " is called its Frequency . Frequency is measured in units called Hertz (Hz). Hertz is a measurement of the number of cycles of the waveform that will occur with the time period of one second. (Cycles per second) = hertz.
  • 3. A-440 hz is the standard tuning note for Western Culture. In other words the tone "A" (vibrating at 440 cycles per second) is the tuning reference from which all the instruments are tuned.
  • 4. Music terminology used for describing pitch is the first seven letters of the alphabet.   A B C D E F G This alphabetical arrangement of the note names creates the A natural minor scale commonly used in music.
  • 5. Many of the examples used throughout music focus on the note "C". Because of this fact it is sometimes useful to think of the music alphabet as being arranged as follows: C D E F G A B That arrangement of the note names creates a common scale called the C major scale .
  • 6. SOLFEGE EQUIVALENT FOR LETTER NOTES C D E F G A B C= do G = so D= re A = la E= mi B = ti F= fa
  • 7. The complete cycle of letter names comprises one register of sound called an Octave . The letter names are reused in higher registers of pitch so that each octave contains the same number of possible notes.
  • 8. The full range of pitches is divided into different registers named OCTAVES . (Two notes that are one octave apart have the same letter name, however the frequency of the higher note is twice that of the lower note) Each octave is comprised of the complete musical alphabet
  • 9. Keyboard landmarks A-440 is the first A note above middle C on the piano. The diagram below shows A-440 in relation to middle C.
  • 10. Guitar landmarks note: The guitar sounds one octave lower than it is written. Because of this fact, the notation of the above note will appear to be one octave higher than the corresponding note on the piano.  
  • 11. Music Notation Western music uses a graphic notation system consisting of a 5 lines and 4 spaces which is called STAFF. Noteheads are placed on the line or space positions of the staff.
  • 12. Clefs At the beginning of a piece of music notation a CLEF is placed upon the staff . The purpose of the clef is to assign a specific letter name to the different line and space positions of the staff.
  • 13. Two Clefs used are the TREBLE CLEF and BASS CLEF Each clef assigns different letters to the staff positions. (i.e. The bottom line in treble clef is "E" and the bottom line in bass clef is "G".)
  • 14. Treble Clef (G clef) The treble clef is drawn similar to a backwards "S". The scroll part of the "S" is spiralling towards the second line which is defined as the musical letter "G". Because of the physical feature the treble clef is sometimes referred to as the "G" clef. Once the second line is defined as G then all of the other line and space positions are defined using an alphabetical sequence.
  • 15.   G (space above the staff)   E (top space) F (top line) C (third space) D (fourth line) A (second space) B (middle line) F ( first space) G (second line) D (space below the staff) E ( bottom line)
  • 16. Use the following phrases to memorize the positions of the treble clef: (LINES from bottom to top) Every Good Boy Does Fine (E G B D F) Alternate Mnemonics: Empty Garbage Before Dad Flips Elvis Goes Boogeying Down Freeways
  • 17. The letter name of the spaces from bottom to top spell FACE.
  • 18. Bass clef (F clef) The Bass clef is drawn similar to a backwards "C" with two dots above and below the fourth line of the staff. The fourth line of the Bass clef is defined as the musical letter "F". The Bass clef is sometimes referred to as the "F" clef.
  • 19. Once the fourth line is defined as F then the other line and space locations are defined using an alphabetical sequence;  
  • 20. F (space below the staff) G (bottom line) A (first space) B (second line) C (second space) D (third line) E (third space) F (fourth line) G (fourth space) A (top line) B (space above the staff).
  • 21. Use the following phrases to memorize the positions of the bass clef: (lines from bottom to top) Good Boys Do Fine Always (G B D F A)
  • 22.   (spaces from bottom to top) All Cows Eat Grass ( A C E G )
  • 23. Grand Staff or Great Staff
  • 24. The Treble Clef Staff and the Bass Clef Staff are often used together to create the Great or Grand Staff. Notes in the treble clef are in a higher octave than the notes of the bass clef, therefore the Treble Clef Staff is placed above the Bass Clef Staff.
  • 25. Ledger lines Many instruments have a range that exceeds the range of the Grand staff. The range of the staff can be extended with the use of ledger lines. Ledger lines are added to create additional lines or spaces, either above or below a staff. As an example, in treble clef, the space above the staff is G, the first ledger line above the staff is A, the space above the first ledger line is B, the second ledger line is C, the space above the second ledger line is D, and so on.
  • 26.  
  • 27. Notes on ledger lines (and spaces) above the staff in treble clef
  • 28. Notes on ledger lines (and spaces) below the staff in treble clef
  • 29. Notes on ledger lines (and spaces) below the staff in bass clef
  • 30. Notes on ledger lines (and spaces) above the staff in bass clef
  • 31. Middle C The note in treble clef, one ledger line below the staff, is the same note as the note in bass clef, one ledger line above the staff. That note is called "Middle C" because it is in the middle of the treble and bass clefs (and it is approximately in the middle of the standard keyboard).
  • 32. When middle C is used in a phrase that includes notes in the treble clef then the ledger line is placed closer to the treble clef staff. Likewise, when the note is part of a phrase in the bass clef staff then the ledger line will be closer to the bass clef staff.
  • 33. Middle C is shown below in both Bass and Treble clefs. The specific musical situation will usually dictate which of the two is more appropriate.
  • 34. Chapter Two - Keyboard   Music theory usually is easier to grasp when it is applied to and experienced on a musical instrument. This chapter will relate the musical alphabet and other musical ideas to the keyboard (piano, organ or synthesizer) and guitar fretboard. For those who have no prior instrumental experience it is suggested that you study the sections on keyboard. Guitarists who have playing experience but little or no theory background will find the section on guitar of interest.
  • 35. Half step the smallest interval in the 12-tone system, used as the basic unit with which to measure the size of other intervals. The abbreviation "H" is used often throughout this book. On other occasions the number 1 is used as an abbreviation for a half step.
  • 36. Whole-step A whole step is two half steps in size. The abbreviation "W" is used throughout this book. On other occasions the number 2 is used as an abbreviation for a whole step.  
  • 37. Sharp example: C# A sharped note is one half-step higher than the natural letter name, this is often (but not always) a black key on the keyboard. Examples; C# is one half-step higher than C, F# is one half-step higher than F.
  • 38. Flat example: E b A flatted note is one half-step lower than the natural letter name, this is often (but not always) a black key on the keyboard. Examples; Eb is one half-step lower than E, and Bb is one half-step lower than B.
  • 39. Natural example: C natural A natural note is the same as the original letter name. The term is usually used to make clear that a previously sharped or flatted note has been restored to its natural letter name. The following example shows C-sharp then E-flat followed by C and E (both natural).
  • 40.  
  • 41. Octave An octave is the distance of 12 half steps. The musical alphabet along with the terms "sharp" and "flat" are used to assign names for all of the notes in one octave range. Additional octaves (using the same names) are added as needed to accommodate the different instrumental and vocal ranges.
  • 42. Keyboard Half steps on the Keyboard The following animated graphic shows all of the consecutive half steps intervals for one octave of the keyboard.
  • 43. The interval of a half-step occurs between any note (white key or black key) and its immediate adjacent neighbor. Most white keys have a black key the interval of one half-step away except for the half-step intervals between B-C and E-F (there is no black key between B and C or between E and F). All black keys have a white key the interval of one half-step away.
  • 44. Whole steps on the Keyboard Most adjacent white keys (C-D, D-E, F-G, G-A, and A-B) are the interval of a whole-step away. Most adjacent black keys (C#-D#, F#-G#, and G#-A#) are the interval of a whole-step away. Other whole-step combinations include B-C#, E-F#, Bb-C, and Eb-F.
  • 45. The following animation shows a series of whole steps, first from the note C then from the note C#.
  • 46. The Keyboard is considered the best instrument on which to demonstrate music theory concepts. All musicians can benefit from the study of the keyboard. The first task is memorizing the letter names of the white keys on the keyboard. Notice the pattern of the black keys (2 black keys, 3 black keys, 2 black keys, 3 black keys, etc.). A landmark white key note lies to the immediate left of the group of 2 black keys. Those white keys are called "C".
  • 47.  
  • 48. Another landmark white key lies to the immediate left of the group of 3 black keys. Those white keys are called "F"
  • 49. The other letter names of the musical alphabet are assigned to the remaining white keys as shown below. (from left to right C,D,E,F,G,A,B,C,D,E,F,G,A and B)   Using the treble clef, the letter names are C,D,E,F,G,A,B,C,D,E,F,G,A and B.
  • 50. Using the bass clef, the letter names are also C,D,E,F,G,A,B,C,D,E,F,G,A and B. These notes are two octaves lower than the notes shown above in Treble Clef. The pattern is repeated up and down the full range of the keyboard .
  • 51. Although the black keys have a different look about them, one must understand that they are notes just the same as the white keys and are used to create music just as the white keys are used. They are arranged in such a way as to help keyboard players literally "feel" their way around the musical alphabet. The black keys are the notes that have the "sharp" and "flat" names.
  • 52.   First the notes that have "sharp" names. B# C# D# E# F# G# A# B# C# D# E# F# G# A# B#
  • 53. The black keys are used for 5 of the 7 "sharp" note names and these 5 are the most commonly used of the sharp notes. Two less frequently used sharps are also available: B# and E#. These notes are enharmonic to C and F respectively (that is , they are white keys!). Since a sharp raises any note one half-step and it has previously been noted that the interval between B-C and E-F is a half-step, it is logical that B# and E# would sound the same as C and F respectively . This is the first of many enharmonic situations that illustrates how 12 tones can accommodate 21 different names.
  • 54. The notes with "flat" names are shown below.   Db Eb Fb Gb Ab Bb Cb Db Eb Fb Gb Ab Bb  
  • 55. Whole note = 4 beats = o Half note = 2 beats = d Quarter note = 1 beat = shaded d Eight note = ½ beat = shaded d with one flag Sixteenth note = ¼ beats Thirty second note = 1/8 beats
  • 56. Note Values and Rhythms In music notation, a note is used to represent the sounds of the music. The notes tell the performer the pitch and the duration and the sound. In this chapter the note's duration values will be studied, as well as the general topic of rhythm. First examine the following diagram of an "eighth note" and make note of the different elements that make up the note value.  
  • 57.  
  • 58.  
  • 60.  
  • 61. Faster note value of 32nd notes (three flags) and 64th notes (four flags) are also available when needed.
  • 63. The following table shows the note values and their equivalent rests.  
  • 65. Tempo   Tempo term  Speed of the pulse Presto  Extremely fast   Vivace  Quick, lively Allegro  Fast, cheerful   Moderato  Moderate speed Andante  Walking speed Adagio  Slow, at ease Lento  Slow Largo  Very Slow
  • 66. Meter A Meter signature (or time signature) is a set of two numbers, one placed on top of the other, used to express: 1) top the number of pulses in the meter pattern and 2) bottom the type of note that will represent the pulse.
  • 67.  
  • 71. Key Signatures Treble Clef   1) The first sharp, F# is always placed on the top line, (never on the first space). 2) The second sharp, C# is always placed on the third space. 3) The third sharp, G# is always placed on the space above the staff, (never on the second line). 4) The fourth sharp, D# is always placed on the fourth line. 5) The fifth sharp, A# is always placed on the second space. 6) The sixth sharp, E# is always placed on the top space, (never on the first line). 7) The seventh sharp, B# is always placed on the third line
  • 72.