The polyrhythmic challenge
- I began by playing a pattern of 5 beats with one hand (I'll
call this the "Leading Hand" rather than referring to left or
right as drummers are not all the same) while the other hand
played 4 regular beats in the same space. In other
words: 5 over 4 in drummer parlance.
- Next, I added a 4 over 3 pattern in the
same manner.
- Finally, a 3 over 2 pattern was added.
NOTE: Coincidentally and very
interestingly, but unrelated, these ratios correspond and
conform to ratios in Pythagorean Tuning Theory, which uses
lengths of string:
5:4 corresponds to a Major Third
4:3 corresponds to a Perfect Fourth
3:2 corresponds to a Perfect Fifth
- Once these three patterns were flowing well individually I
played them one after the other, repeating the three-bar
sequence until I was satisfied with the "flow".
- Now came the question "what to do with the feet"? I wrote
out separate foot patterns for each of the three bars starting
with easy patterns and creating more challenging ones as I
became more adept at playing them. The thinking behind this
was that the foot patterns should not be "obvious" in that
bass drum or hi-hat beats should fall in unusual parts of the
bar, thus not coinciding with what the hands are doing. I have
added an image below of what this came out looking like:

- After working on these patterns over some time I was able to
play them with a good musical flow. Again, the question came:
"what can I do to move forward"?
- At this point I started switching the Leading
Hand from one to the other at every
bar change.
To clarify what that entails:
- Bar 1 (5|4) Right hand
leads
- Bar 2 (4|3) Left hand
leads
- Bar 3 (3|2) Right hand
leads
- Bar 4 (5|4) Left hand
leads
- Bar 5 (4|3) Right hand
leads
- Bar 6 (3|2) Left hand
leads
Brain functions: I look at these exercises from the
perspective of what is happening in my brain while playing.
Each of the above exercises relies on sets (networks) of
neurons firing together, what Donald Hebb* has referred to
as "cell assemblies" (Hebb, 2002). Switching the leading
hand each bar means that the network
coordinating the movements for the hands also switch for
each bar.
* Hebb wrote that
“When an axon of cell A is near enough to excite cell B and
repeatedly or persistently takes part in firing it, some
growth process or metabolic change takes place in one or
both cells such that A’s efficiency as one of the cells
firing B is increased.” (Hebb 2002).
From this the principle "Cells that fire together, wire
together" was construed (however not directly by
Hebb), meaning that by potentiation of specific neurons
during repeated practice, the connections between them
strengthen. This is where myelination and
Long-Term Potentiation (LTP) occurs, leading to
consolidation of the learned pattern(s).
Counter to the above, when the practice is no longer
repeated and time passes, the established connections
between neurons weakens. Professor Sam Wang PhD Associate
Professor of Molecular Biology and Neuroscience at Princeton
University refers to this as "Out of sync, lose your link"
(Wang, 2010).
- The next step was to take a piece of music in 6/4 time and
play these patterns, counting the music as 6 beats per bar.
Thinking about it mathematically, a bar of 5 beats, followed
by 4 and then by 3 produce 12 beats. If you play two sets of
each bar ( as shown above) you have 24 beats, corresponding to
4 bars of 6/4 and are back at the beginning of the musical
phrase.
NOTE: This is not something I or anyone else would
do in a real performance setting, it is purely an academic,
mental challenge. However, my aim throughout has been to make
it sound as "musical" as possible.
- After mastering these exercises I once again asked myself "now
what"?
- The next step was to use a set of dice and come up with
random progressions of the three different time signatures, as
long as there were always two 5's, two 4's and two 3's
present. As before, these progressions were played with the
music in 6/4.
Sidebar: One day, as I was playing a
set of combinations (an example could be: 5,3,3,4,5,4) I
played a 4 where I should have played something else. What
surprised me at this moment was that my
brain told me to adjust and make the
necessary replacement pattern so that everything would work
out evenly. All while focusing on playing the complex
patterns. This led me to ask "where did that come from?"
Brain functions: Asking the above questions has led me
to the brain's so-called 'performance monitoring and error
detection executive function' which
is located in the anterior cingulate
cortex and dorsolateral
prefrontal cortex areas of the fronto-temporal area
of the brain. These areas can be summarised under the
heading executive attention, which helps us,
through analysis of the incoming information to execute
actions, pay attention, prioritize behavior, and adapt to
change in a controlled manner. These are closely related to
willpower and self-control. As it is anticipated that
executive function deteriorates through shrinking of dendritic
branching, beginning in one's 70's or 80's, I am personally
invested in studying the longitudinal effects of regular
practice of exercises as described in this blog.
Motor skills, such as those used in playing a musical
instrument, however, changes areas of our somatosensory system
and makes use of structures in our extrapyramidal motor system
located in the striatum, premotor and
motor cortices, and the cerebellum. The latter plays a
critically important role in the coordination of learned,
skilled movement, such as drumming and is commonly
referred to as "muscle memory". Muscles, however, have no
memory neurons of their own but receive synapses from motor
neurons located in the brain. Essentially, with continued
practice, the firing of so-called Purkinje
neurons in the cerebellum becomes more
and more synchronized and solidified over time, continuously
improving the learned skill. In other words, continued
practice makes perfect. The good news is that procedural and
professional skills such as these are typically retained as
one gets older and that the plasticity of the brain allows for
new learning throughout life.
A research team at the
Ruhr-University Bochum, Germany, led by Lara Schlaffke, PhD,
found in 2019 that the "enhanced motor performance in
professional drummers was accompanied by structural
differences in the neuroanatomy of the corpus callosum",
which connects the two halves of the brain. The team's data shows that
"the corpus callosum is relevant for the ability to
perform two different motor trajectories with the two
hands. Specifically, our data show that the anterior
corpus callosum connecting the frontal lobes is relevant
for motor decoupling in professional drummers. Subsegments
1 and 2 of the corpus callosum in our study connect the
orbitofrontal and prefrontal left and right cortices and
are part of an area of the corpus callosum referred to as
genu." (Schlaffke et al, 2019)
The more I learn about the
interconnectivity between the brain's auditory cortex, visual
cortex, and motor cortex when working on complex drumming
exercises, as described here, and the incredible speed at which
these neural connections (synapses) occur, and new ones are
generated and/or altered, the more in awe I become of our
brains' capabilities, plasticity, and potential for
expansion.
Analogy: I have created a
different explanation for non-musicians at the end of this blog
of what my brain is having to manage during the exercises
described in this blog.
Back to
the polyrhythmic exercises:
- After some time I no longer required the dice to throw
random patterns out for me but developed the ability to do it
in my head while playing.
- Knowing that this was not the end I again asked myself "now
what do I do"?
- You guessed it, the next step was to take the notes played
by the non-leading hand and shift them by a 16th or triplet
4th as appropriate while still maintaining the regular beat
within the bar. This led to between 5 and 7 iterations for
each pattern.
Repeat these new patterns as above with randomised sequences
(still with two 5's, two 4's and two 3's)
- I now find myself at a point where I can play these patterns
quite effortlessly so, naturally, I have asked myself "where
do I go from here"? The answer has been to go through
the above set of steps but using one bar of 7
over 4, followed by a bar of 5 over
3. Also included are 7 over 3 and 7
over 5. The foot patterns used for these are more
advanced than the earlier ones and now feature somewhat
unexpected double bass patterns played by both feet and
occasional beats played by the left foot on a woodblock pedal.
The left foot, in other words, needs to travel between two
separate pedals. The music accompaniment remains in 6/4.
- What do I see as the next step? The possibilities are
endless, I could come up with other time signature
combinations, work on speed, play along to something other
than 6/4 , etc., etc.
All that's needed is a pinch of creativity in making up new
challenges to stretch the mind such as what is described here.
Update 2019-12-12:
Today I was alerted by another drummer on Facebook to this video
of the wonderful drummer Marco Minneman. In this segment
he demonstrates how to play
five in his left hand and seven in his right at the same
time. After your brain has just
melted, he quickly melts it even further by adding 9/16 over
that with his feet.
https://www.facebook.com/drumeo/videos/489343498363066/
New Breed II:
Similar to the polyrhythmic
exercises described above, I have for several years been
working with four sets of exercises in Gary Chester's
book New Breed II (Chester & Adams, 1990).
These exercises are found on
pages 62-77 and consist of (for each exercise set) six
ostinato patterns to be played with two pages of reading
material.
The four exercise sets are written in 5/8, 7/8, 6/8 and 12/8
and include the following ostinato patterns:
Cymbal
pattern Ostinato
pattern Reading
material played by
1. Right Hand Right and
Left Feet
Left Hand
2. Left
Hand
Right and
Left Feet
Right Hand
3.
Right Hand
Left Hand and Left Foot
Right Foot
4.
Left Hand
Right
Hand and Left Foot Right
Foot
5.
Right Hand
Left Hand and Right Foot
Left
Foot
6.
Left Hand
Right Hand and Right Foot
Left Foot
The below image shows
ostinato patterns in 5/8:
For each exercise I located a
piece of music that would serve as background accompaniment
and keep me in time. Using the 'Amazing Slowdowner' app
installed on iPads, I have been able to, over time,
slowly increase the tempo at which these exercises
are played.
New Breed version 1:
In early 2019 I had the idea
of playing these exercises while alternating the hand
that plays the cymbal pattern for every bar (measure). This
results in the following:
Where the Hands are
playing the reading materials bar 1 is played with combination
1 shown above, the next bar is combination 2, bar 3 is again
combination 1, bar 4 combination 2, and so on.
Where the Right
Foot is playing the reading materials bar 1 is
played with combination 3 shown above, the next bar is
combination 4, bar 3 is again combination 3, bar 4
combination 4, and so on.
Where the Left Foot is
playing the reading materials bar 1 is played with
combination 5 shown above, the next bar is combination 6,
bar 3 is again combination 5, bar 4 combination 6, and so
on.
Over time this became the
standard way for me to play these exercises and they
flowed quite effortlessly.
I began looking for, and thinking about, ways to enhance the
difficulty and mental challenges of these exercises.
New
Breed version 2:
Fast forward to July 2022
when, after an international move to France and having set up
my drum studio in our new house, I began thinking about how to
develop the next level and its approach. This resulted in the
following second approach to playing these exercises:
Development of exercises on pp 64 (5/8 exercises) , 68 (7/8 exercises), and 72 (6/8 exercises)
Month 1: Play one bar of each 3-limb combination and then change to a different combo.
Alternate leading hand every bar.
Play all exercises below with alternating leading hands every bar.
Week 1
Play
4 bars w/ 1 limb
reading the text
Play 4 bars
with only 3 limbs
Repeat above
Week 2
Play 2 bars
w/ 1 limb reading the text
Play 2 bars
with only 3 limbs
Repeat above
Week 3
Play 1 bars
w/ 1 limb reading the text
Play 1 bars
with only 3 limbs
Repeat above
Week 4
Try playing
with changing the reading limb every bar
The below image,
showing the first few lines of the 5/8 reading exercise, may
prove helpful when reading the following description.
Playing the exercises now involves deciding at the beginning of
the exercise which limb is going to start the 'reading part' and
then changing the reading limb in a predetermined order, e.g.
Hand -> Right Foot -> Left Foot. It then involves
immediately switching the mental focus after having a played a
bar with one limb 'reading' to the three limbs which will be
playing the ostinato in the next bar, followed by adding the
reading limb in the next bar and so on. This is facilitated by
having developed mental representations for
the three limbs that are playing the ostinato pattern, allowing
me to dedicate more focus to the lone limb reading the 'melody'
part (see below example of the first few lines of the 5/8
melody).
New Breed version
3:
A third approach to
playing these exercises came to me in early November 2022. This
is similar to the first approach, outlined in New Breed II by
the authors but instead of 'reading' the prescribed
'melody', the independent limb improvises patterns/melodies
while the other three limbs play the accompanying ostinato
pattern.
Brain functions: During
one of the 'improvisational' sessions I came to realize the
immense power and capabilities our brains possess. It occurred
to me that, while improvising or switching focus, in version 2
several coordinated brain activities in different areas must
occur simultaneously. Initially, the auditory cortex may (if
playing with accompaniment or other musicians) receives input
from the outside world. Simultaneously, a motor-neuron action
has to be planned in the motor cortex, known as 'readiness
potential' (Libet et al, 1993), then
initiated (by the cerebellum) as an
action potential which stimulates an anterior
horn cell in an appropriate muscle,
while the pyramidal and extrapyramidal systems counterbalance
each other and manage the movement of the muscle, and the
prefrontal cortex executive function at the same time manages
all these events. Interestingly, the neural activity precedes
the actual movement of the limb before a conscious commitment to
move it is made.
All this takes place
in fractions of seconds while the improvisation or switching of
focus occurs. Compare this to speaking "off-the-cuff" when
conversing with others. We invent both language and music
creatively in the moment. Very impressive!
Tachibana et al (2024) "investigated, with
the use of improvised guitar tasks, the role of Broca's
area during spontaneous creativity, regardless of
individual skills, experience, or subjective feelings.
Twenty guitarists performed improvised and formulaic blues
rock sequences while hemodynamic responses were recorded
using functional near-infrared spectroscopy. We identified
a new significant response in Broca's area (Brodmann area
[BA] 45L) and its right hemisphere homologue during
improvised playing but not during formulaic playing. Our
results indicate that bilateral BA45 activity is common
during creative processes that involve improvisation
across all participants, regardless of subjective
feelings, skill, age, difficulty, history, or amount of
practice. While our previous results demonstrated that the
modulation of the neural network according to the
subjectively experienced level of creativity relied on the
degree of deactivation in BA46L, our current results
independently show a common concurrent activity in BA45 in
all participants. We suggest that this is related to the
sustained execution of improvisation in "motor control,"
analogous to motor planning in speech control."
New Breed version 4:
As indicated above in
version 2, I wanted to
work on changing the reading limb every bar but wasn't able to
get to that level at the time. A year later, in September
2023, I decided to create a structure for working on
this very challenging version. The structure was as follows:
Week 1: Play
only ostinatos with three limbs but change the limb
combination in each bar. Additionally, change leading hand
every bar. This becomes a six-bar repeated patter and can be
represented thus:
Week 2: The plan was to
play very simple patterns with the 'Melody' limb. I was
pleasantly surprised to discover that, having ground the
changing ostinatos into my subconscious the previous week, I was
able to play more advanced 'melody' patterns than expected. I
did actually find myself improvising patterns with the 'melody'
limb. Stress indices (more about this in the next section) were
surprisingly low.
Update January 2024:
It has been a difficult challenge to get to a point where I can
change the 'reading limb' every bar; progress has been slow but
moving forward. A paraphrased quote attributed (but not
confirmed) to Sir Winston Churchill comes to mind: "Success
is defined as going from failure to failure without loss of
enthusiasm".
Brain functions: Continuing the discussion on
coordinated brain activities in different areas, here's a
graphic from a lecture by Professor Idan Segev of the Hebrew
University of Jerusalem, which shows the areas of the brain
involved in - for example, drumming - the activities
mentioned earlier.

(Prof. Idan Segev, "Synapses,
Neurons and Brains", Lecture 6, slide 4)
Let us consider the elements of this graphic on drumming
from a computational neuroscience perspective on the
integration and interaction of our sensory systems:
- Vision: Receptor cells in the retina receive
input from the page of music and transmit signals to so
called Ganglion Cells, which forward these signals to the
visual cortex.
- Movement: As the visual cortex receives input
from the retina, neurons in the motor cortex plan, and
then execute, transmissions to anterior horn cells in
appropriate muscles.
- Touch: Pyramidal and extrapyramidal systems in
the somatosensory cortex counterbalance each other and
manage the movement of the muscles as regards the "touch"
and "feel" of striking the drum with a stick - not too
soft and not too hard - and allowing the stick to bounce,
a necessary feature of striking a drum with a stick.
- Hearing: Simultaneously, neurons in the auditory
cortex react to the sound produced by the musician and
send signals back to the motor cortex to synchronize motor
movements with the sound.
- Coordination: All the above motor movement is
fine-tuned and coordinated in the cerebellum.
- Associations (Monitoring): While the areas listed
above manage the playing of one bar of music in this New
Breed version 4, the executive control function must
simultaneously prepare for the upcoming measure of music,
in which a different set of limbs perform their respective
tasks.
The interaction between our sensory and motor systems
comes from Oxford Learning Link's animation "From Input to
Output" which describes a voluntary movement, such as
reaching for an object. Imagine instead that you are reading
a music score and want to initiate voluntary movement(s)
with your limbs controlling the instrument.
After identifying the [object], the
idea for a movement or act must be
translated into the selection of muscles needed
to perform the task. This process must involve,
at some places in the nervous system, a plan
for action–a motor plan. Before a motor plan
can be executed, the visual system must first
inspect the scene to determine what kind of
movement might be appropriate for obtaining the
[object]. The visual information enters the
retina
and is passed through the lateral
geniculate nucleus (LGN) to
the primary visual cortex (V1), where
information about the shape and location of the
object can be assessed.
Information about the object is then
relayed from V1 to the
cortical regions that will plan and initiate the
movement. The information is passed to areas V2
and V4 on its way to the prefrontal
cortex via the inferior
temporal lobe. This pathway is involved in
object recognition.
An important function of the
prefrontal cortex is to plan the sequence of
movements necessary to perform a task. This
information is then forwarded to the premotor
cortex, which organizes the planned
movement, but does not specify the details of
how the movement is to be carried out.
The premotor cortex projects to the primary
motor cortex, which acts as the executive
control mechanism for voluntary movements. The
primary motor cortex encodes the serial order, or
temporal sequence, of the behavior.
This information is sent via the
corticospinal tract to the spinal
cord, where the motorneurons act as the
final common pathway for the behavior.
Two additional brain regions are
also important in the control of voluntary movement.
These are the basal ganglia (caudate,
putamen, and globus pallidus) and the
cerebellum. These two brain regions serve to
modulate movements by affecting the strength of the
response (basal ganglia) as
well as the timing and accuracy of the movement (cerebellum).
The entire sequence, from visual
perception to the initiation of muscle
movement, is remarkably fast. In humans,
the time required from visual input to the
initiation of the motor response is on the
order of 250 to 300 milliseconds. (Oxford
University Press, 2024)
Measuring what is going on:
Before I began working out the different approaches
described above I had been considering ways to measure what
my body experiences during practice, as well as
performances. Measuring progress and
(hopefully) improvement on musical tasks
has already been a lifelong endeavour. This new form of
measuring, though, has me looking for instances of stress,
described below.
Individual versus group settings
In addition to measuring levels during individual practice
sessions, I have also been measuring them during practices
and performances in group settings. This includes the
following:
- Since the beginning of the 2023 carnival season
(February - April) here in France, I have been practicing
and performing with the Ziriguidum Batucada in Orleans,
France.
- Beginning in August 2023, I have been performing with
local jazz ensembles from Blois, France, mostly without
prior rehearsals so the stress level is presumed to be
elevated. We'll see.