Front 19
    RUDIMENTS
  
  
    OF
  
  
    MUSIC.
  
  
    Continued.
  
    one
  
  
    to
  
  
    two
  
  
    is
  
  
    a
  
  
    step,
  
  
    from
  
  
    two
  
  
    to
  
  
    three
  
  
    a
  
  
    half-step,
  
  
    from
  
  
    three
  
  
    to
  
  
    four
  
  
    a
  
    step,
  
  
    from
  
  
    four
  
  
    to
  
  
    five
  
  
    a
  
  
    step,
  
  
    from
  
  
    five
  
  
    to
  
  
    six
  
  
    a
  
  
    half-step,
  
  
    and
  
  
    from
  
  
    six
  
    to
  
  
    seven
  
  
    an
  
  
    augmented
  
  
    second,
  
  
    or
  
  
    step
  
  
    and
  
  
    a
  
  
    half,
  
  
    from
  
  
    seven
  
  
    to
  
  
    eight
  
  
    a
  
  
    half-
  
    step.
  
  
    The
  
  
    seventh
  
  
    tone
  
  
    is
  
  
    obtained
  
  
    by
  
  
    the
  
  
    use
  
  
    of
  
  
    a
  
  
    sharp.
  
  
    The
  
  
    descend-
  
    ing
  
  
    minor
  
  
    scale
  
  
    is
  
  
    like
  
  
    the
  
  
    ascending
  
  
    scale
  
  
    except
  
  
    from
  
  
    eight
  
  
    to
  
  
    seven
  
  
    and
  
    seven
  
  
    to
  
  
    six,
  
  
    which
  
  
    intervals
  
  
    are
  
  
    whole
  
  
    steps.
  
  
    (See
  
  
    example
  
  
    above.)
  
    LESSON
  
  
    VIII.
  
    1.
  
  
    If
  
  
    a
  
  
    sharp
  
  
    is
  
  
    placed
  
  
    in
  
  
    front
  
  
    of
  
  
    a
  
  
    note,
  
  
    what
  
  
    effect
  
  
    has
  
  
    it?
  
    It
  
  
    is
  
  
    said
  
  
    to
  
  
    raise
  
  
    the
  
  
    pitch
  
  
    of
  
  
    it
  
  
    a
  
  
    half-step.
  
    2.
  
  
    If
  
  
    a
  
  
    flat
  
  
    is
  
  
    placed
  
  
    in
  
  
    front
  
  
    of
  
  
    a
  
  
    note,
  
  
    will
  
  
    it
  
  
    lower
  
  
    the
  
  
    pitch
  
  
    of
  
  
    the
  
  
    note?
  
    It
  
  
    will
  
  
    lower
  
  
    it
  
  
    a
  
  
    half-step.
  
    3.
  
  
    What
  
  
    is
  
  
    a
  
  
    natural
  
  
    for?
  
    It
  
  
    is
  
  
    to
  
  
    cancel
  
  
    the
  
  
    effect
  
  
    of
  
  
    the
  
  
    flat
  
  
    or
  
  
    sharp
  
  
    and
  
  
    restore
  
  
    the
  
  
    effected
  
  
    note
  
    to
  
  
    its
  
  
    natural
  
  
    or
  
  
    original
  
  
    pitch.
  
    4.
  
  
    Where
  
  
    do
  
  
    we
  
  
    find
  
  
    intermediate
  
  
    tones?
  
    At
  
  
    the
  
  
    five
  
  
    places
  
  
    in
  
  
    the
  
  
    scale
  
  
    where
  
  
    whole
  
  
    steps
  
  
    occur.
  
    5.
  
  
    What
  
  
    are
  
  
    the
  
  
    names
  
  
    of
  
  
    these
  
  
    intermediate
  
  
    tones?
  
    They
  
  
    are
  
  
    named
  
  
    after
  
  
    the
  
  
    tone
  
  
    or
  
  
    note
  
  
    that
  
  
    lies
  
  
    nearest
  
  
    to
  
  
    them,
  
  
    thus:
  
    If
  
  
    you
  
  
    are
  
  
    ascending
  
  
    the
  
  
    scale,
  
  
    they
  
  
    are
  
  
    named:
  
  
    Sharp
  
  
    one,
  
  
    sharp
  
  
    two,
  
  
    sharp
  
    four,
  
  
    sharp
  
  
    five
  
  
    and
  
  
    sharp
  
  
    six.
  
  
    If
  
  
    descending
  
  
    the
  
  
    scale
  
  
    they
  
  
    are
  
  
    named
  
  
    flat
  
    seven,
  
  
    flat
  
  
    six,
  
  
    flat
  
  
    five,
  
  
    flat
  
  
    three
  
  
    and
  
  
    flat
  
  
    two.
  
  
    Sharp
  
  
    one
  
  
    and
  
  
    flat
  
  
    two
  
  
    is
  
    the
  
  
    same
  
  
    tone,
  
  
    sharp
  
  
    two
  
  
    and
  
  
    flat
  
  
    three
  
  
    is
  
  
    the
  
  
    same
  
  
    tone,
  
  
    sharp
  
  
    four
  
  
    and
  
    flat
  
  
    five
  
  
    is
  
  
    the
  
  
    same
  
  
    tone,
  
  
    sharp
  
  
    five
  
  
    and
  
  
    flat
  
  
    six
  
  
    is
  
  
    the
  
  
    same
  
  
    tone,
  
  
    and
  
  
    sharp
  
    six
  
  
    and
  
  
    flat
  
  
    seven
  
  
    is
  
  
    the
  
  
    same
  
  
    tone.
  
    Chromatic
  
  
    scale,
  
  
    ascending
  
  
    and
  
  
    descendings
  
    Names.
  
  
    Fa.
  
  
    Fe.
  
  
    Sol.
  
  
    Se.
  
  
    La.
  
  
    Fa.
  
  
    Fe.
  
  
    Sol.
  
  
    Se.
  
  
    La.
  
  
    Le.
  
  
    Me.
  
  
    Fa.
  
    Names
  
  
    Fa,
  
  
    Me.
  
  
    May.
  
  
    La.
  
  
    Lay.
  
  
    Sol.
  
  
    Saw.
  
  
    Fa.
  
  
    La.
  
  
    Lay.
  
  
    Sol.
  
  
    Saw.
  
  
    Fa.
  
    Note-It
  
  
    is
  
  
    claimed
  
  
    by
  
  
    eminent
  
  
    musicians
  
  
    that
  
  
    our
  
  
    system
  
  
    of
  
  
    notation
  
    came
  
  
    from
  
  
    the
  
  
    Tetrachords
  
  
    and
  
  
    that
  
  
    the
  
  
    present
  
  
    notes
  
  
    of
  
  
    the
  
  
    four-note
  
  
    system,
  
    the
  
  
    seven
  
  
    notes
  
  
    and
  
  
    the
  
  
    scale,
  
  
    are
  
  
    the
  
  
    offsprings
  
  
    of
  
  
    the
  
  
    ancient
  
  
    Tetrachordal
  
    method.
  
    Tonic
  
  
    Super-
  
  
    Mediant.
  
  
    Sub-
  
  
    Dominant.
  
  
    Sub-
  
  
    Sub-
  
  
    Upper
  
    tonic.
  
  
    dominant
  
  
    mediant
  
  
    tonic
  
  
    tonic.
  
    6.
  
  
    What
  
  
    is
  
  
    meant
  
  
    by
  
  
    tonic?
  
    The
  
  
    tone
  
  
    upon
  
  
    which
  
  
    the
  
  
    key
  
  
    is
  
  
    founded.
  
    DIAGRAM
  
  
    OF
  
  
    THE
  
  
    CHROMATIC
  
  
    SCALE.
  
    LESSON
  
  
    IX-TETRACHORDS.
  
    1.
  
  
    What
  
  
    is
  
  
    a
  
  
    Tetrachord?
  
    A
  
  
    fourth;
  
  
    also
  
  
    system
  
  
    of
  
  
    four
  
  
    notes.
  
  
    Among
  
  
    the
  
  
    ancients
  
  
    the
  
  
    extremes
  
    of
  
  
    which
  
  
    were
  
  
    fixed,
  
  
    but
  
  
    the
  
  
    middle
  
  
    tones
  
  
    are
  
  
    varied
  
  
    according
  
  
    to
  
  
    the
  
  
    mode.
  
    Two
  
  
    chords
  
  
    or
  
  
    fourths
  
  
    where
  
  
    the
  
  
    same
  
  
    note
  
  
    is
  
  
    highest
  
  
    of
  
  
    one
  
  
    and
  
  
    the
  
  
    lowest
  
    of
  
  
    the
  
  
    other.
  
    3.
  
  
    How
  
  
    was
  
  
    the
  
  
    tetrachord
  
  
    divided?
  
    It
  
  
    was
  
  
    divided
  
  
    into
  
  
    two
  
  
    parts,
  
  
    the
  
  
    upper
  
  
    and
  
  
    lower
  
  
    tetrachord,
  
  
    each
  
    having
  
  
    four
  
  
    tones
  
  
    similar
  
  
    to
  
  
    the
  
  
    scale
  
  
    of
  
  
    today.
  
    4.
  
  
    Can
  
  
    the
  
  
    scale
  
  
    be
  
  
    divided
  
  
    as
  
  
    is
  
  
    now
  
  
    written?
  
    It
  
  
    can;
  
  
    and
  
  
    partakes
  
  
    of
  
  
    the
  
  
    scale
  
  
    of
  
  
    the
  
  
    tetrachord
  
  
    system.
  
    5.
  
  
    How
  
  
    is
  
  
    the
  
  
    octave
  
  
    or
  
  
    scale
  
  
    divided
  
  
    into
  
  
    tetrachords?
  
    In
  
  
    the
  
  
    following
  
  
    manner:
  
  
    First,
  
  
    the
  
  
    first
  
  
    tone
  
  
    of
  
  
    the
  
  
    scale
  
  
    is
  
  
    called
  
    the
  
  
    tonic
  
  
    and
  
  
    is
  
  
    the
  
  
    key
  
  
    tone.
  
  
    The
  
  
    second
  
  
    is
  
  
    called
  
  
    the
  
  
    super-tonic.
  
  
    The
  
    third
  
  
    is
  
  
    called
  
  
    the
  
  
    mediant.
  
  
    The
  
  
    fourth
  
  
    is
  
  
    called
  
  
    the
  
  
    sub-dominant.
  
  
    The
  
    fifth
  
  
    is
  
  
    called
  
  
    the
  
  
    dominant.
  
  
    The
  
  
    sixth
  
  
    is
  
  
    called
  
  
    the
  
  
    sub-mediant.
  
  
    The
  
  
    sev-
  
    enth
  
  
    is
  
  
    called
  
  
    the
  
  
    sub-tonic.
  
  
    The
  
  
    scale
  
  
    may
  
  
    be
  
  
    divided
  
  
    into
  
  
    two
  
  
    equal
  
  
    parts,
  
    each
  
  
    having
  
  
    two
  
  
    steps
  
  
    and
  
  
    one
  
  
    half-step.
  
  
    When
  
  
    so
  
  
    divided
  
  
    the
  
  
    divisions
  
  
    are
  
    call
  
  
    tetrachords.
  
  
    The
  
  
    lower
  
  
    part
  
  
    is
  
  
    from
  
  
    one
  
  
    to
  
  
    four
  
  
    inclusive,
  
  
    or
  
  
    from
  
  
    tonic
  
    to
  
  
    sub-dominant.
  
  
    The
  
  
    upper
  
  
    part
  
  
    is
  
  
    from
  
  
    five
  
  
    to
  
  
    eight
  
  
    inclusive
  
  
    or
  
  
    from
  
    dominant
  
  
    to
  
  
    tonic.
  
    7.
  
  
    What
  
  
    is
  
  
    meant
  
  
    by
  
  
    Super-tonic?
  
    Tone
  
  
    next
  
  
    above
  
  
    the
  
  
    tonic.
  
    8.
  
  
    What
  
  
    is
  
  
    meant
  
  
    by
  
  
    Mediant?
  
    Three
  
  
    of
  
  
    the
  
  
    scale,
  
  
    the
  
  
    tone
  
  
    lying
  
  
    midway
  
  
    from
  
  
    tonic
  
  
    to
  
  
    dominant.
  
    9.
  
  
    What
  
  
    is
  
  
    meant
  
  
    by
  
  
    Sub-dominant?
  
    Fourth
  
  
    tone
  
  
    of
  
  
    the
  
  
    scale.