Page 3
    RUDIMENTS.
  
  
    Continued.
  
    In
  
  
    our
  
  
    system
  
  
    of
  
  
    musical
  
  
    notation,
  
  
    the
  
  
    pitch
  
  
    C
  
  
    is
  
  
    assumed
  
  
    as
  
  
    a
  
  
    starting
  
  
    point,
  
    and
  
  
    all
  
  
    keyed
  
  
    instruments,
  
  
    as
  
  
    pianos
  
  
    and
  
  
    organs
  
  
    are
  
  
    constructed
  
  
    so
  
  
    as
  
  
    to
  
  
    play
  
  
    half
  
    steps
  
  
    between
  
  
    E
  
  
    and
  
  
    F,
  
  
    and
  
  
    B
  
  
    and
  
  
    C,
  
  
    and
  
  
    whole
  
  
    steps
  
  
    between
  
  
    all
  
  
    the
  
  
    other
  
  
    letters.
  
    Therefore,
  
  
    when
  
  
    the
  
  
    scale
  
  
    is
  
  
    based
  
  
    on
  
  
    C,
  
  
    the
  
  
    Clefs
  
  
    used
  
  
    to
  
  
    indicate
  
  
    the
  
  
    position
  
    and
  
  
    order
  
  
    of
  
  
    the
  
  
    letters,
  
  
    are
  
  
    sufficient
  
  
    also
  
  
    to
  
  
    form
  
  
    its
  
  
    signature,
  
  
    and
  
  
    the
  
  
    white
  
  
    keys
  
    play
  
  
    the
  
  
    order
  
  
    of
  
  
    intervals
  
  
    required
  
  
    to
  
  
    constitute
  
  
    the
  
  
    Major
  
  
    Diatonic
  
  
    Scale,
  
  
    as
  
  
    repre-
  
    sented
  
  
    on
  
  
    page
  
  
    7.
  
  
    For
  
  
    this
  
  
    reason
  
  
    the
  
  
    key
  
  
    of
  
  
    C
  
  
    is
  
  
    frequently
  
  
    spoken
  
  
    of
  
  
    as
  
  
    the
  
  
    nat-
  
    ural
  
  
    key.
  
    C
  
  
    Scale.
  
    All
  
  
    other
  
  
    keys
  
  
    require
  
  
    the
  
  
    employment
  
  
    of
  
  
    either
  
  
    sharps
  
  
    or
  
  
    flats
  
  
    in
  
  
    the
  
  
    signature,
  
    as
  
  
    will
  
  
    soon
  
  
    appear.
  
  
    When
  
  
    any
  
  
    other
  
  
    pitch
  
  
    than
  
  
    C
  
  
    is
  
  
    taken
  
  
    as
  
  
    One
  
  
    of
  
  
    the
  
  
    scale,
  
  
    it
  
    s
  
  
    said
  
  
    to
  
  
    be
  
  
    TRANS
  
  
    POSED.
  
    There
  
  
    are
  
  
    two
  
  
    systematic
  
  
    ways
  
  
    of
  
  
    transposing
  
  
    the
  
  
    scale.
  
  
    One
  
  
    is
  
  
    by
  
  
    fifths
  
  
    and
  
  
    the
  
    other
  
  
    by
  
  
    fourths.
  
  
    To
  
  
    transpose
  
  
    the
  
  
    scale
  
  
    by
  
  
    fifths
  
  
    is
  
  
    to
  
  
    move
  
  
    it
  
  
    up
  
  
    FIVF
  
  
    Degrees
  
    Higher
  
  
    or
  
  
    FOUR
  
  
    Degree
  
  
    Lower,
  
  
    and
  
  
    to
  
  
    transpose
  
  
    by
  
  
    fourths
  
  
    is
  
  
    to
  
  
    move
  
  
    it
  
  
    up
  
  
    FOUR
  
    Degrees
  
  
    Higher;
  
  
    or
  
  
    DOWN
  
  
    FIVE
  
  
    Degrees
  
  
    Lower.
  
  
    Five
  
  
    degrees
  
  
    above
  
  
    is
  
  
    the
  
  
    same
  
    as
  
  
    four
  
  
    degrees
  
  
    below,
  
  
    both
  
  
    leading
  
  
    to
  
    the
  
  
    same
  
  
    point
  
  
    in
  
  
    the
  
  
    Scale,
  
  
    thus:
  
    Four
  
  
    degrees
  
  
    above
  
  
    is
  
  
    the
  
  
    same
  
  
    thing
  
  
    as
  
    five
  
  
    degrees
  
  
    below,
  
  
    both
  
  
    leading
  
  
    to
  
  
    the
  
  
    same
  
    point
  
  
    in
  
  
    the
  
  
    Scale,
  
  
    thus
  
  
    :
  
    In
  
  
    commencing
  
  
    a
  
  
    series
  
  
    of
  
  
    transpositions
  
  
    of
  
  
    the
  
  
    Scale,
  
  
    whether
  
  
    by
  
  
    fifths,
  
  
    or
  
    fourths,
  
  
    the
  
  
    fisrt
  
  
    transposition
  
  
    must
  
  
    be
  
  
    made
  
  
    from
  
  
    the
  
  
    key
  
  
    of
  
  
    C,
  
  
    and
  
  
    thereafter
  
  
    form
  
    the
  
  
    last
  
  
    key
  
  
    obtained.
  
    In
  
  
    transposing
  
  
    by
  
  
    fifths,
  
  
    sharps
  
  
    are
  
  
    used
  
  
    to
  
  
    form
  
  
    the
  
  
    new
  
  
    signature.
  
    In
  
  
    transposing
  
  
    by
  
  
    fourths,
  
  
    flats
  
  
    are
  
  
    used
  
  
    to
  
  
    form
  
  
    the
  
  
    new
  
  
    signature.
  
    Signature
  
  
    sharps
  
  
    and
  
  
    flats
  
  
    affect
  
  
    all
  
  
    the
  
  
    notes
  
  
    of
  
  
    corresponding
  
  
    names,
  
  
    higher
  
  
    or
  
    lower,
  
  
    unless
  
  
    contradicted
  
  
    by
  
  
    the
  
  
    Natural.
  
  
    The
  
  
    first
  
  
    tran
  
  
    sposition
  
  
    of
  
  
    the
  
  
    Scale,
  
  
    by
  
    fifths
  
  
    is
  
  
    from
  
  
    C
  
  
    to
  
  
    G.
  
  
    We
  
  
    simply
  
  
    take
  
  
    G
  
  
    as
  
  
    One
  
  
    of
  
  
    the
  
  
    Scale
  
  
    in
  
  
    higher
  
  
    position,
  
  
    thus:
  
    Change
  
  
    of
  
  
    Key.
  
    From
  
  
    C,
  
  
    Clef
  
  
    Signature,
  
  
    to
  
  
    G,
  
  
    F
  
  
    Signature.
  
    From
  
  
    G,
  
  
    F
  
  
    Signature
  
  
    to
  
  
    D,
  
  
    F
  
  
    and
  
  
    C
  
  
    Signature.
  
    From
  
  
    D,
  
  
    F
  
  
    and
  
  
    C
  
  
    Signature,
  
  
    to
  
  
    A,
  
  
    F
  
  
    C
  
  
    and
  
  
    D
  
  
    Signature.
  
    From
  
  
    A,
  
  
    F
  
  
    C
  
  
    and
  
  
    G,
  
  
    to
  
  
    E,
  
  
    F
  
  
    C
  
  
    G
  
  
    and
  
  
    D
  
  
    Signature.
  
    From
  
  
    A,
  
  
    Signature
  
  
    F
  
  
    C
  
  
    and
  
  
    G,
  
  
    to
  
  
    E,
  
  
    F
  
  
    C
  
  
    G
  
  
    and
  
  
    D
  
  
    Signature.
  
    In
  
  
    transposing
  
  
    the
  
  
    Scale
  
  
    by
  
  
    fourths,
  
  
    it
  
  
    must
  
  
    commence
  
  
    frsm
  
  
    C
  
  
    also.
  
    From
  
  
    C,
  
  
    Clef
  
  
    Signature,
  
  
    to
  
  
    F,
  
  
    Bb
  
  
    Signatuae.