Complex rhythms - Introduction
After a self- inflicted couple of months of chaos through
moving from a moderately large house with garden etc. to a spacious but much smaller flat, the rhythm of
life for both me and my wife is very slowly returning to normal albeit without
a sound system yet; but, soon that also will come to pass as well.
In his stimulating discussions of rhythm Ken covered quite a
bit of ground. There are many questions in each blog and I am almost certain
that these questions will lead to further interesting discussions. One of the
fascinating aspects of rhythm is the consideration of the organisation of music
using rhythmic sentences as the basis of a composition. This idea is not new
and perhaps it was one of the most important aspects of ancient music which
lasted well into the High Baroque era. Even as late as the17th
century, the instrumental tuning in use
was very uncertain and it was locale specific. Although later in the Romantic era an agreed upon tempered
scale ( A4 = 440 Hz) increased the emphasis in favour pitch related properties
of a composition, rhythmic structure of music was and still is a very important
property of any musical work.
If we consider many forms of dances, folksongs, and
immediately approachable popular music, the rhythmic sentences that repeat in
more or less regular intervals are short and readily identifiable. In general,
in these types of composition, the rhythmic content of musical expressions
could be readily expressed within the context of the meter associated with the
composition and the repeated patterns rarely exceed a few measures at most. In
a structure like this, a change in the rhythmic structure acts like a caesura
and one of the structures (sequences) can be used repeatedly (refrain). If the purposes behind the composition of
these types are examined; we would conclude that this is a very logical
structure. This is also applicable to any section of a musical work where an
immediate recognition of that section is an important concern. There are many
interesting theoretical aspects of rhythmic structures that are discussed
extensively in G. W. Cooper and L. B. Meyer The
Rhythmic Structure of Music (University of Chicago Press Chicago, London
1960).
There is a practical matter for the composer, players and
audience alike; as the musical sentences become more complicated, rhythmic
structures become more divorced from the easily recognisable forms, both the
comprehension and interpretation of the
rhythmic structure demand more careful listening. If one considers from the
oldest existing music, through Renaissance, Baroque, Classical, Romantic eras
to our own time, the importance of the rhythmic structure becomes much more
apparent. In this respect, it may be
claimed that there is more commonality between a Bach fugue and
quintessentially 20th Century pieces such as Messaien's Turangalila
or Takemitsu's Colours than it is
apparent in a casual hearing. One might probably be more correct than not
stating that this has always been so, because considering the music of a vast
geographic area extending from Iberia to a virtual meridian just east of
Myanmar, the similarity of the rhythmic structures – highlighted by linguistic
differences – provide an evidence that the rhythmic similarities are so much of
the defining property of music the this has always been the case, from the
first attempts at singing by our earliest ancestors to our own creative musical
efforts. Naturally, included in this
notion, there is the relative influence of the language and/or dialect based prosody
on the rhythmic structures of any locally or nationally identifiable music. This
important observations lead to a vast area of knowledge and investigation,
unfortunately too far afield from our discussions. Thus we'll leave this to
linguists and ethno-musicologists, who are much better equipped to discuss these
topics and limit our discussion to considerations of musical rhythmic
structures of the music normally discussed here.
A generalised rhythmic language:
A rhythm can be fully defined by
two relative properties of a sound: length, stress. The length is long, medium
and short and the stress is strong and weak. The basis in terms of the note
length can be extended to any commonly used notes (Breve, semi-breve, minim etc.),
for the purposes of this article we will use a minim based system with:
Symbol Length Strength
''Sound''
h Long Strong Boom
H Long Weak Baah
q Med Strong Ta
Q Med Weak Ti
e Short Strong Ka
E Short Weak Ke
Rule I. A rhythmic pattern is the expressed using the least
amount of weak notes
Example: Q Q
= H but q Q ≠ h
Rule II. A rhythmic sentence is the sequence of rhythms that
occur at least twice
Example: < H Q h Q E q E q h H Q
h Q E q E q h > is a
sequence with a sentence repeated once. The sentence has a most unusual meter
of 11/ 4 : < H Q h Q E q
E
q
h >. The partition by the unusual
meter is not necessary and within the context of the music it can be any
convenient partition. A sentence can be any length, but the composer must keep
in mind that very long sentences are hard to interpret, perform, or listen to.
One of the musical examples is a long sequence to demonstrate this difficulty.
In fact, one can calculate the appropriate length easily. A sentence with a
meter 120/4 is about a minute of allegro music, which asks the listener to
recall the details of a whole minute in order to understand the rhythmic
structure. I would not be surprised to
find such a composition to be beyond the reach of most audiences.
Common short rhythmic
sentences can be used as building blocks for long sentences. For example:
a) 1. < h e > 5/8 2.
< H
Q
h >10/8 3. <
Q E >3/8 Caesura or cadence 4 / 8
1 + 2 +
3 + 3
= < h e H Q h Q E q E> 16 / 8
Sequence:
< h e H Q h Q E q E C h e H Q h Q E q
E C >
=> 5 / 8:6 h
x 6
H
E
¦E h 6 Q
E
q
6 E h 6
h x 6
H
E
¦E h 6 Q
E
q
6 E Q Q 6


