14


I


o

II

This  is  a  mixed  chord,  as  it  has  three  degrees  (2,  4,  6)  from  the

o

natural  dominant  chord  V,  and  two  degrees  (i,  3)  from  the
tonic  chord  I.     Its  law  of  movement  is  duplex,  for  it  may  go

o

naturally  towards  the  chord  V  as  well  as  towards  the  tonic

chord  I,  because  it  has  notes  in  common  with  them  both:

— —

15  16


V

Dividing  up  the  chord  of  the  ninth  on  the  second  degree  (II)
(2,  4,  6,  i,  3)  into  three  triads,  we  get


2-4-6

4-6-1

6-1-3

(ID

TV

VI

17

Mixed  triads

r        &

«      it

~/4v  —  »  —  '

-f-»\-

—  ^—

—  1  H

1C)    g

'  ~

—  &^

—  •  H

c/        ^
e
II

W

IV

VI

PROGRESSION  OF  MIXED  CHORDS


II


One  of  these  chords  —  the  II  —  we  have  already  had;  but
we  now  get  two  new  chords  —  the  IV  and  VI  —  that  are  based
on  the  fourth  and  sixth  degrees  respectively.
These  two  chords  (IV  and  VI),  like  the  great  chord  from
which  they  come,  are  mixed  chords;  the  one  on  the  fourth

9

degree  (IV)  has  two  degrees  (4  and  6)  from  the  natural  chord  V,
arui  one  degree  (the  I)  Ijrom  the  natural  chord  I.  The  chord  IV,
or  subdominant  chord,  as  it  is  generally  called,  is  considered  in
text-books  as  a  principal  chord  in  Harmony;  but  it  would  seem
preferable  to  consider  it  a  mixed  chord.
The  chord  VI  is  also  a  mixed  chord,  as  it  has  degree  6  from  the

9

natural  dominant  chord  V  and  degrees  i  and  3  from  the  natural
tonic  chord  I.
