Front 17
    RUDIMENTS
  
  
    OF
  
  
    MUSIC.
  
  
    Continued.
  
    COMPOUND.
  
    12.
  
  
    How
  
  
    is
  
  
    the
  
  
    first
  
  
    mode
  
  
    of
  
  
    compound
  
  
    time
  
  
    known?
  
    By
  
  
    the
  
  
    figures
  
  
    six
  
  
    over
  
  
    four.
  
  
    It
  
  
    has
  
  
    a
  
  
    dotted
  
  
    semi-breve
  
  
    for
  
  
    measure
  
    notes,
  
  
    rendered
  
  
    in
  
  
    two
  
  
    and
  
  
    one-half
  
  
    seconds,
  
  
    two
  
  
    beats
  
  
    to
  
  
    the
  
  
    measure,
  
  
    down
  
    and
  
  
    up,
  
  
    accented
  
  
    on
  
  
    first
  
  
    and
  
  
    fourth
  
  
    parts
  
  
    of
  
  
    the
  
  
    measure.
  
  
    It
  
  
    is
  
  
    also
  
  
    called
  
    six-four
  
  
    time.
  
  
    (Example
  
  
    -).
  
    13.
  
  
    How
  
  
    about
  
  
    the
  
  
    second
  
  
    mode
  
  
    of
  
  
    compound
  
  
    time?
  
    It
  
  
    is
  
  
    known
  
  
    by
  
  
    six
  
  
    over
  
  
    eight.
  
  
    One
  
  
    and
  
  
    one-half
  
  
    seconds
  
  
    to
  
  
    the
  
  
    measure,
  
    two
  
  
    beats,
  
  
    down
  
  
    and
  
  
    up,
  
  
    accented
  
  
    on
  
  
    the
  
  
    first
  
  
    and
  
  
    fourth
  
  
    parts
  
  
    of
  
  
    the
  
    measure.
  
  
    It
  
  
    has
  
  
    a
  
  
    dotted
  
  
    minim
  
  
    for
  
  
    a
  
  
    beat
  
  
    note.
  
  
    (Example
  
  
    below.)
  
    In
  
  
    some
  
  
    of
  
  
    the
  
  
    books
  
  
    this
  
  
    is
  
  
    called
  
  
    Compound
  
  
    Double
  
  
    and
  
  
    in
  
  
    some
  
  
    Sextuple
  
    time.
  
    14.
  
  
    What
  
  
    about
  
  
    intermediate
  
  
    tones?
  
    They
  
  
    occur
  
  
    between
  
  
    the
  
  
    regular
  
  
    tones
  
  
    of
  
  
    a
  
  
    key.
  
    15.
  
  
    In
  
  
    the major
  
  
    key
  
  
    when
  
  
    do
  
  
    we
  
  
    find
  
  
    intermediate
  
  
    tones?
  
    Between
  
  
    1
  
  
    and
  
  
    2,
  
  
    2
  
  
    and
  
  
    3,
  
  
    4
  
  
    and
  
  
    5,
  
  
    6
  
  
    and
  
  
    7.
  
    16.
  
  
    Are
  
  
    there
  
  
    any
  
  
    other
  
  
    modes?
  
    Yes,
  
  
    there
  
  
    are
  
  
    also
  
  
    modes
  
  
    of
  
  
    time
  
  
    as
  
  
    follows:
  
    They
  
  
    are
  
  
    not
  
  
    so
  
  
    frequently
  
  
    used
  
  
    by
  
  
    composers
  
  
    as
  
    those
  
  
    mentioned
  
  
    above.
  
    (Example
  
  
    below.)
  
    17.
  
  
    What
  
  
    are
  
  
    the
  
  
    Fractions,
  
  
    placed
  
  
    at
  
  
    the
  
  
    beginning
  
  
    of
  
  
    a
  
  
    composition?
  
    The
  
  
    yare
  
  
    called
  
  
    Numerator
  
  
    and
  
  
    Denominator.
  
    18.
  
  
    What
  
  
    does
  
  
    the
  
  
    Numerator
  
  
    denote?
  
    The
  
  
    number
  
  
    of
  
  
    pulsation
  
  
    in
  
  
    a
  
  
    measure.
  
    19.
  
  
    What
  
  
    does
  
  
    the
  
  
    Denominator
  
  
    denote?
  
    Tell
  
  
    us
  
  
    the
  
  
    kinds
  
  
    of
  
  
    notes
  
  
    which
  
  
    is
  
  
    referred
  
  
    to
  
  
    in
  
  
    each
  
  
    pulsation
  
  
    of
  
  
    the
  
    measure.
  
    LESSON
  
  
    V.
  
    1.
  
  
    What
  
  
    does
  
  
    the
  
  
    second
  
  
    department
  
  
    in
  
  
    music
  
  
    treat
  
  
    of?
  
    Melodies.
  
    2.
  
  
    What
  
  
    is
  
  
    Melodies?
  
    That
  
  
    department
  
  
    of
  
  
    vocal
  
  
    elementary
  
  
    instructions
  
  
    which
  
  
    relates
  
  
    to
  
  
    the
  
    pitch
  
  
    of
  
  
    tones.
  
    MELODIES.
  
    3.
  
  
    What
  
  
    is
  
  
    pitch
  
  
    as
  
  
    applied
  
  
    to
  
  
    music?
  
    The
  
  
    acuteness
  
  
    and
  
  
    gravity
  
  
    of
  
  
    any
  
  
    particular
  
  
    sound.
  
  
    Pitch
  
  
    can
  
  
    most
  
  
    sci-
  
    entifically
  
  
    be
  
  
    defined
  
  
    as
  
  
    a
  
  
    rate
  
  
    of
  
  
    vibration.
  
  
    Rapid
  
  
    vibrations
  
  
    means
  
  
    a
  
  
    high
  
    tone;
  
  
    slow
  
  
    vibrations
  
  
    a
  
  
    deep
  
  
    tone.
  
    4.
  
  
    What
  
  
    is
  
  
    a
  
  
    Diatonic?
  
    Naturally
  
  
    preceding
  
  
    in
  
  
    the
  
  
    order
  
  
    of
  
  
    the
  
  
    degrees
  
  
    of
  
  
    a
  
  
    natural
  
  
    scale,
  
  
    in-
  
    cluding
  
  
    tones
  
  
    and
  
  
    semi-tones.
  
    5.
  
  
    What
  
  
    is
  
  
    a
  
  
    Diatonic
  
  
    scale?
  
    The
  
  
    different
  
  
    graduations
  
  
    of
  
  
    tones
  
  
    or
  
  
    gamut
  
  
    arranged
  
  
    in
  
  
    a
  
  
    preparee
  
    order
  
  
    in
  
  
    conformity
  
  
    to
  
  
    some
  
  
    particular
  
  
    key.
  
    6.
  
  
    What
  
  
    is
  
  
    a
  
  
    Diatonic
  
  
    Major
  
  
    scale?
  
    That
  
  
    in
  
  
    which
  
  
    the
  
  
    same
  
  
    tones
  
  
    occur
  
  
    between
  
  
    the
  
  
    second
  
  
    and
  
  
    third
  
  
    sev-
  
    enth
  
  
    and
  
  
    eighth,
  
  
    ascending,
  
  
    and
  
  
    between
  
  
    eighth
  
  
    and
  
  
    seventh
  
  
    and
  
  
    fourth
  
  
    and
  
    third,
  
  
    descending.
  
    7.
  
  
    What
  
  
    is
  
  
    a
  
  
    Minor
  
  
    Diatonic
  
  
    scale?
  
    (See
  
  
    example
  
  
    of
  
  
    Minor
  
  
    Mode
  
  
    for
  
  
    the
  
  
    Diatonic
  
  
    scale.)
  
  
    That
  
  
    in
  
  
    which
  
    the
  
  
    same
  
  
    tones
  
  
    occur
  
  
    between
  
  
    the
  
  
    second
  
  
    and
  
  
    third
  
  
    seventh
  
  
    and
  
  
    eighth,
  
  
    as-
  
    cending
  
  
    between
  
  
    fifth
  
  
    and
  
  
    sixth,
  
  
    and
  
  
    second
  
  
    and
  
  
    third
  
  
    descending.
  
    8.
  
  
    What
  
  
    is
  
  
    a
  
  
    scale?
  
    The
  
  
    succession
  
  
    of
  
  
    tones
  
  
    upon
  
  
    which
  
  
    any
  
  
    music
  
  
    is
  
  
    built.
  
    9.
  
  
    What
  
  
    is
  
  
    a
  
  
    Chromaticscale?
  
    (See
  
  
    "Chromatic
  
  
    scale."
  
  
    A
  
  
    scale
  
  
    in
  
  
    which
  
  
    all
  
  
    the
  
  
    tones,
  
  
    intermediate
  
    and
  
  
    diatonic,
  
  
    occur
  
  
    in
  
  
    successive
  
  
    order.
  
    10.
  
  
    Why
  
  
    is
  
  
    this
  
  
    scale
  
  
    called
  
  
    Chromatic?
  
    Because
  
  
    of
  
  
    the
  
  
    fact
  
  
    that
  
  
    the
  
  
    intermediate
  
  
    tones
  
  
    were
  
  
    formerly
  
  
    written
  
    in
  
  
    colors.
  
    11.
  
  
    What
  
  
    are
  
  
    Accidentals?
  
    Sharps,
  
  
    Flats
  
  
    or
  
  
    cancel
  
  
    used
  
  
    throughout
  
  
    a
  
  
    composition
  
  
    for
  
  
    the
  
  
    purpose
  
    of
  
  
    introducing
  
  
    intermediate
  
  
    tones
  
  
    or
  
  
    a
  
  
    modulation.
  
    12.
  
  
    What
  
  
    is
  
  
    the
  
  
    rule
  
  
    for
  
  
    their
  
  
    continuance?
  
    Accidentals
  
  
    continue
  
  
    their
  
  
    significance
  
  
    throughout
  
  
    the
  
  
    measure
  
  
    which
  
  
    they
  
    occur.
  
    13.
  
  
    What
  
  
    is
  
  
    1
  
  
    and
  
  
    8
  
  
    in
  
  
    any
  
  
    key
  
  
    called?
  
    The
  
  
    key
  
  
    tone
  
  
    or
  
  
    tonic.
  
    14.
  
  
    What
  
  
    is
  
  
    the
  
  
    difference
  
  
    between
  
  
    a
  
  
    scale
  
  
    and
  
  
    a
  
  
    key?
  
    A
  
  
    scale
  
  
    implies
  
  
    a
  
  
    certain
  
  
    order
  
  
    of
  
  
    succession;
  
  
    while
  
  
    the
  
  
    family
  
  
    of
  
  
    tones
  
    of
  
  
    which
  
  
    it
  
  
    is
  
  
    formed,
  
  
    called
  
  
    the
  
  
    key,
  
  
    may
  
  
    be
  
  
    used
  
  
    in
  
  
    any
  
  
    possible
  
  
    order.
  
    15.
  
  
    What
  
  
    other
  
  
    difference
  
  
    is
  
  
    there?
  
    A
  
  
    scale
  
  
    must
  
  
    have
  
  
    eight
  
  
    tones,
  
  
    while
  
  
    the
  
  
    key
  
  
    has
  
  
    seven.
  
    16.
  
  
    What
  
  
    is
  
  
    the
  
  
    order
  
  
    of
  
  
    intervals
  
  
    in
  
  
    the
  
  
    major
  
  
    key?
  
    Major
  
  
    seconds
  
  
    must
  
  
    occur
  
  
    between
  
  
    1
  
  
    and
  
  
    2
  
  
    and
  
  
    2,
  
  
    3,
  
  
    4
  
  
    and
  
  
    5,
  
  
    5
  
  
    and
  
  
    6,
  
  
    6
  
    and
  
  
    7.
  
  
    Minor
  
  
    seconds
  
  
    must
  
  
    occur
  
  
    between
  
  
    3
  
  
    and
  
  
    4,
  
  
    and
  
  
    7
  
  
    and
  
  
    8.
  
    Note-Further
  
  
    explanation
  
  
    of
  
  
    seconds
  
  
    explained
  
  
    elsewhere.
  
    17.
  
  
    What
  
  
    is
  
  
    a
  
  
    Signature?
  
    Sharps
  
  
    or
  
  
    flats
  
  
    placed
  
  
    at
  
  
    the
  
  
    beginning
  
  
    of
  
  
    the
  
  
    composition
  
  
    are
  
  
    called
  
    signatures,
  
  
    which
  
  
    indicate
  
  
    the
  
  
    key
  
  
    of
  
  
    the
  
  
    scale.
  
    18.
  
  
    How
  
  
    many
  
  
    major
  
  
    keys
  
  
    are
  
  
    there
  
  
    in
  
  
    general
  
  
    use?
  
    There
  
  
    are
  
  
    thirteen.
  
    19.
  
  
    Name
  
  
    them.
  
    C,
  
  
    G,
  
  
    D,
  
  
    A,
  
  
    E,
  
  
    B,
  
  
    F
  
  
    sharp,
  
  
    F,
  
  
    Bb,
  
  
    Eb,
  
  
    Ab,
  
  
    Db
  
  
    and
  
  
    Gb.
  
    20.
  
  
    What
  
  
    is
  
  
    a
  
  
    Minor
  
  
    scale?
  
    A
  
  
    scale
  
  
    in
  
  
    which
  
  
    the
  
  
    intervals
  
  
    from
  
  
    2
  
  
    to
  
  
    3,
  
  
    and
  
  
    from
  
  
    5
  
  
    to
  
  
    6,
  
  
    are
  
  
    minor.
  
    21.
  
  
    What
  
  
    is
  
  
    the
  
  
    order
  
  
    of
  
  
    intervals
  
  
    in
  
  
    the
  
  
    minor
  
  
    scale?
  
    Minor
  
  
    seconds
  
  
    must
  
  
    occur
  
  
    between
  
  
    2
  
  
    and
  
  
    3,
  
  
    5
  
  
    and
  
  
    6,
  
  
    7
  
  
    and
  
  
    8.
  
  
    Major
  
    seconds
  
  
    must
  
  
    occur
  
  
    between
  
  
    1
  
  
    and
  
  
    2,
  
  
    3
  
  
    and
  
  
    4,
  
  
    4
  
  
    and
  
  
    5,
  
  
    while
  
  
    from
  
  
    6
  
  
    to
  
  
    7
  
  
    must
  
    be
  
  
    an
  
  
    augmented
  
  
    second.