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TRANSCRIPT
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Isaac Hayes 1
Acknowledgments
Despite being the sole researcher on this project, I was far from the only mind
contributing to its development and completion. This thesis represents not only the
culmination of my tenure in the psychology department at the University of Arkansas, but
indeed the potent and manifold influences of three separate departments on my academic
and personal development. Without guidance from the university's many patient and
insightful musicians, philosophers and, yes, psychologists this research could not have
come to fruition, nor could I have such a clear vision of my future in the world of
academic study. In addition, I would like to extend thanks to the SURF grant foundation
for their generous investment in this research.
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Isaac Hayes 2
Table of Contents
1. Abstract
2. Introduction
3. Method
4. Data
5. Analysis
6. Conclusion
7. Bibliography
8. Index
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Abstract
Despite the growing prevalence of research into the neurocognitive correlates of musical
training, little research investigates the effects of different paradigms of musical training.
This project seeks to take a first step into this investigation by comparing jazz-trained and
classically-trained musicians' ability to detect changes in expressive microtiming in
musical phrases.
Nineteen musicians divided into classically-trained and jazz-trained groups were
presented with 32 short musical passages that had potentially undergone micro-rhythmic
alteration to one note or chord on the order of 20-60 milliseconds. Participants were
instructed to indicate whether they had or had not detected micro-rhythmic alteration in
the passage. Hit rate and false alarm rate were recorded for each participant and a d'
value for each was calculated. It was hypothesized that jazz-trained musicians would
demonstrate a greater sensitivity to changes in expressive microtiming across all types of
musical stimuli. The difference measured between the two groups was found to be not
statistically significant and thus the data failed to support a rejection of the null
hypothesis. Future research will undoubtedly expand upon the results of this study by
greatly increasing the number of participants and developing rigorous criteria for the
categorization and quantization of participants' musical training, as well as developing
criteria for categorization and quantization of different types of expressive microtiming.
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Introduction
Clearly, musical training is not a simple path from novice to expert along a single
axis of learned skills. Rather, there exist multiple paradigms of musical training, each
with their own origin, purpose and skill set. What we would call musical expertise is in
fact a set of heterogeneous, multifaceted traits, able to be attained via a variety of
avenues. Different schools of training may be differentiated not only by the types of
music that give rise to them, but by the different ways their practitioners come to think
about and execute their skills. Stemming from these clear differences, it should be
inferred that in addition, differences in musical training might have profound effects on
the way music is perceived in the trained listener. Authors Paul Berliner, Derek Bailey
and George Lewis among others have documented these distinctive properties of musical
training and pedagogy; in these cases, specifically the pedagogy of improvisation.
Further, multiple studies have demonstrated that musical training has numerous effects on
cognitive and perceptual abilities, including most notably Aaron Berkowitz and Daniel
Ansari's research into the neurological correlates of training in improvisation, which
investigated the ways musicians' motor corticies generate novel motor sequences during
improvisation. (Berkowitz, 2008) (Berkowitz, 2010)
This research paper seeks to fill a gap in the existing literature by investigating
differences in one such facet of perception and cognition, namely the ability to detect
differences in expressive microtiming in musical phrases. Of primary interest here is
whether there is a main effect of type of music training on ability to discriminate between
musical phrases which have undergone changes in expressive microtiming from those
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which have not. This particular variable was chosen for several reasons. First, it is a
musical trait present in any genre of music performed by humans. While it would be
possible to have a computer replicate a performance wherein each note was placed
exactly in its mathematically ideal location, human performances invariably alter
rhythmic placements of notes throughout. Second, it is a variable easily manipulable via
MIDI data and easily quantifiable. Given a few pieces of software it is possible to adjust
microtiming on a note or group of notes by a given number of milliseconds, even in
music which has been translated from human performance and already features
expressive microtiming.
In addition, there is a firm foundation of research into microtiming, including its
detection, as in Eric Clarke's 1989 study which determined the threshold for microtiming
detection as well as investigated factors that influenced that threshold. Along similar
lines, Bruno Repp found in his 1998 study that detection of microtiming depended greatly
on whether or not it was used congruently with typical usage in a given style of music.
These findings were in line with Edward Large and Caroline Palmer's 2002 paper which
found that expectation plays a large role in the ability to detect microtiming, and therefore
that microtiming typical of a given music's genre should be more readily detectible that
atypical microtiming. Perhaps most pertinent to this study, Henkjan Honing and Olivia
Ladinig found in 2009 that mere exposure to music was enough to influence microtiming
detection ability, namely, that instead of musical expertise being the primary determinant,
exposure to certain musical idioms made the most difference in participants' ability to
detect changes in microtiming. All things considered, microtiming is only a relatively
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recent topic in the literature of music cognition. These further steps into research in this
area will advance currently lacking knowledge on the topic.
The first section of the paper will outline the widely acknowledged varieties of
musical training as represented in contemporary literature as well as prior researched
effects of musical training on aspects of cognition and perception, musical and otherwise.
This discussion will aim to contextualize the hypothesized effects mentioned later on by
illustrating the extent to which these main varieties of musical training differ. Finally,
armed with a greater understanding of these differences the hypothesized effect of
differences in musical training on microtiming detection will be outlined.
Classical Training
In common usage of the term and indeed in much of the literature on musical
training, it is taken for granted that a given musician's training and expertise are in what
is known as classical music (also referred to as western art music or European
music, though here as classical). As the more thoroughly researched style of music
training and performance practice in the literature, classical music training will largely be
defined in the context of this research as music training that does not feature
improvisation as the dominant performance practice, but that instead focuses on recitation
of fully written-out music, or recitation of music that allows for some variation in
dynamic level, tempo and timbre, but only very rarely pitch, rhythm, meter or structure.
Overall, it seems fair to make the generalization that classical music affords
musicians flexibility over the subtler facets of music performancespecifically over
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tempo, dynamics and microtiming, while jazz music affords many more freedoms,
especially during the solo portion of the performancespecifically pitch, rhythm, meter,
and structure, in addition to tempo, dynamics and microtiming. Though perhaps
involving no less creativity than jazz music, classical music relegates artistic expression
to these subtler elements due to the fact that, by its very nature, classical music relies on
recitation from a primary written source (which is then read or recited from rote) rather
than an ad-libbed performance. It is to be expected, then, that the skill set emphasized in
classical music pedagogy would reflect the skills necessary in classical music
performance, and would be in many ways very different from training in jazz and other
primarily improvisatory music.
While historically, composers and performers of what we now call classical music
trained in and made prominent use of improvisation in performance practice, this skill has
for the most part fallen out of classical performers' repertoire in the 20th and 21st
centuries. Commonly used texts and teaching methods for the learning of classical music
fail to make mention of the skill of improvisation at all, much less outline the pedagogy
necessary for instructing new musicians in improvisation. This trend has been noted by
authors such as Ken Prouty (2012). He claims that [t]echniques of improvisation are
found infrequently within the Western art music curriculum, and classical music's legacy
of imrpovisation is often a mystery to novice musicians, and thus, that [j]azz began
its academic life with a fundamentally different identity within the academy, at odds with
academic music culture (pg. 70).
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Improvisatory/Jazz Training
It is important to note before delving into a particular instance of a musical
paradigm that though mainstream jazz education is the most prevalent of
institutionalized improvisatory music training encountered at the middle school, high
school or university level, it is by no means the only form of improvisatory music taught.
Because of its prevalence, however, and the availability of its pedagogical material, it will
be taken as the focal point for discussion of improvisatory music in this research. It is
worth noting, though, that at base level all forms of music emphasizing improvisation as
the dominant performance practice share a few defining characteristics that differentiate
them from music that emphasizes solo or group recitation of fully-composed music.
From students' first forays into improvisatory music, their studies include lessons in at
least these three crucial elements: generativity, inter-musician communication and
expression. In general, musical generativity is present in all forms of improvisatory
music and rarely found in classical music performance with the exception of some
modern pieces unlikely to become the focal point of classical pedagogy until college
level. Further, while inter-musician communication is prominent in both genres of music
training, it takes highly differentiated forms in each. Where classical musicians might
use a conductor's gestures or subtle body language to achieve musical synchrony or a
certain group dynamic level or tempo, jazz musicians commonly use gesture during a
performance to alter the piece's structure by adding another chorus of soloing, to indicate
the next soloist, to move to double-time, in addition to altering dynamic and tempo.
While both classical and jazz musicians might make use of deliberate expressive
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microtiming to modify the feel of a piece of music, jazz musicians are more likely to
instigate these changes mid-stream, for an expressive effect or to indicate to other
musicians a desired change in feel.
Lastly, the qualities of artistic expression vary greatly between classical and jazz
performance practice. While undoubtedly a classical performance is made or broken by
the artist's choices regarding the piece's tempo, dynamic, timbre, microtiming, etc.,
artistic expression in jazz takes another form entirelythe performer essentially
composes cogent melodic lines and/or chordal accompaniment on the spot. In addition,
while jazz musicians are expected to train in this type of expression even in their first
lessons, classical musicians may not be expected to emphasize the development of these
skills until well into their musical career (advanced high school or college level)1.
To expand on these differences mentioned above, it helps to turn to salient
literature on jazz training and pedagogy. Paul Berliner in his 1994 Thinking in Jazz
describes the methods of musical training unique to jazz, confirming that these skills are
emphasized early and often. Though perhaps it is obvious that successful musical
improvisation involves musical generativity insofar as the corpus of any given
performance involves a significant length of spontaneously generated music (quite unlike
classical music) it is not as obvious that it requires great skills in inter-musician
communicativity. Berliner writes that in a jazz setting, improvisers are free of the
constraints that commercial engagements place upon repertory, length of performance,
and the freedom to take artistic risks. (Berliner, 42). These unplanned, spontaneous
1 This is with the exception, perhaps, of students of the Suzuki method who a0s early as three years old
are encouraged early on to perform imitatively or by ear. However, though the method emphasizes
playing music as though one were speaking, recitation, not expression or generativity, is still the main
goal (Kendall, 1985).
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perceptive/cognitive faculties. Indeed, much research has been conducted into the variety
of ways musical training writ large effects cognitive development in children and adults.
Wong, et al. (2007) demonstrated that participants who had undergone musical training
had more robustly encoded linguistic pitch patterns at the neurological level. Further,
research was conducted into nonmusical cognitive effects of musical training when
Sylvain Moreno et al. (2008) showed that after only six months of musical training, eight-
year-old children showed enhanced reading and pitch discrimination abilities in speech.
Similarly, a few studies have investigated cognitive and neurological effects of training in
musical improvisation. For example, Berkowitz and Ansari (2008) showed that
musicians with training in improvisatory music temporarily deactivated the right
temporoparietal junction (rTPJ) during melodic improvisation, while nonmusicians
showed no change in activity in this region, indicating that improvisatory music training
has a not insignificant effect on neural structures and therefore, we might assume,
cognitive structures as well. Unfortunately, with few noteworthy exceptions, little effort
has been made toward research into the variety of cognitive effects of multiple training
paradigms. Thus, it is not possible to directly consult literature in order to predict these
effectsinstead it is necessary to consult several disparate sources in order to form a
cogent hypothesis.
Hypothesis
The usage of the term expressive microtiming has varied somewhat in past
literature. The seminal 2002 paper by Vijay Iyer titled Embodied Mind, Situated
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Cognition, and Expressive Microtiming in African-American Music deals largely with
the prevalence of what he dubs microrhythmic techniques in jazz. Iyer argues that even
rhythmic phenomena that occur on the order of 10-60 Hz enter into our cognition of
music, despite being much shorter, and therefore less noticeable than, for example, an
average quarter, eighth or sixteenth note. His argument hinges on the notion that because
we regularly undertake or (undergo) body motions that occur on this timeframe (he gives
the examples of the production of phonemes or rapid flam[s] between fingers or
limbs) we are therefore well equipped to detect phenomena of this same time frame in
music, and that indeed we respond to them through embodied cognition. Iyer's paper
largely references groove specificallyfor example, as it occurs in James Brown's
music (Iyer 388). Expressive microtiming in this context makes up the groove of the
music, and provides dynamic and interest to otherwise static music.
For the sake of experimental manipulation in the context of this research,
expressive microtiming will be more simply defined as the extent to which a note or
group of notes deviate rhythmically from an ideal rhythmic placement, either specified
(i.e., written, as in classical music) or unspecified (i.e., implied, as in much of improvised
music). This proves to be a more useful definition in the context of this research as it
lends itself to easy measurement and manipulation. Using MIDI files, it is possible to
alter the placement of any note or group of notes by as little as one millisecond (well
below the measured detection threshold for rhythmic changes). For simplicity's sake,
each instance of microtiming in this experiment was only altered with respect to one
rhythmic sub-unit, that is, one note or vertically-stacked chord. This created a single
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locus of rhythmic difference in each musical passage that the participant would then
either detect or fail to detect.
Armed with this prior research and these experimental tools, it was possible to
make predictions regarding the experimental outcome. It was predicted first that
participants with more musical training would be able to more accurately detect changes
in microtiming than would participants with less training, due simply to the greater
exposure to scenarios that would necessitate cultivating these skills. Henkjan Honing and
Olivia Ladinig (2009) found that mere exposure to certain types of music improved
participants' ability to detect expressive timing in musical phrases within that type of
music. Thus, it was further predicted that participants with more experience in a
particular training paradigm would be able to more accurately detect changes between
stimuli in that same paradigm. That is, that classically trained musicians would be more
able to detect microrhythmic changes in classical stimuli and that jazz trained musicians
would be more able to detect them in jazz stimuli. This could feasibly be predicted due
to the presence of a broad-level familiarity bias with the type of music with which one is
most familiar2.
Last, and perhaps most contentiously, it was predicted that participants with jazz
training would be more able to detect microrhythmic changes overall versus participants
with an equal amount of classical training. Though the disparity here would likely be
smaller than between, say, a participant with two years of training and one with forty, it
might still be argued that due to jazz music and jazz training prominently featuring the
2 Ultimately, to keep research concise and timely, these predictions were left untested. Instead, energy
was expended testing the more interesting claim.
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skills mentioned abovegenerativity, communicativity, expressionmore so than
classical music and training, and due to the fact that each of these three skills develop
skills in microtiming detection, jazz training would, year-for-year improve skills in
microtiming detection more than would classical training.
For experimental purposes, the null hypothesis held that there would not be any
discernible difference between the group of classically-trained musicians and that of jazz-
trained musicians, and further, that if any difference was detected and was found to be
statistically significant that it would not be found to be due to the differences in their
training backgrounds.
Method
Stimuli and presentation
In preparation for the experiment, 32 short segments of music were chosen, each
on the order of four to eight measures at a medium tempo. 16 were designated
classical examples and 16 designated jazz. Classical examples were extracted
from a number of pieces of music written by well-known composers, but from less well-
known sections of their catalog in order to generally avoid a familiarity bias. Jazz
examples were a mixture of musical passages extracted from transcribed solos of well-
known jazz musicians (again, from less-well-known works of theirs) and solos
procedurally generated by the educational music software Band in a Box3. The latter
was used despite not having an analogous method for classical stimuli due to the
comparative lack of jazz MIDI files available from the sources consulted. Within each of
3 For a full list of composers/compositions, please see index.
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the two categories, further criteria were added in order to maintain diversity of stimuli.
Half of all stimuli were classed as sparse stimuli and half as dense. A sparse
segment of feature one or at most two musical voices playing at any given time, and
would have fewer notes and a less complex texture overall, while a dense segment
could feature up to five voices and have a busier musical texture. In addition, half of all
stimuli were to feature lead-type microrhythmic alteration and the other half lag-type
alteration. In segments designated lead, the note or group of notes to be altered would
be moved to occur earlier relative to their default positions, while segments designated
lag featured notes moved to occur later relative to their default positions. These
designations were added to more accurately represent the diverse varieties of
microrhythmic alteration that might be encountered in everyday performance practice.
Each main subset of classical and jazz examples featured equal numbers16 each
of sparse, dense, lead, and lag-classed stimuli4.
Within each segment of music, a note or chord was selected that would undergo
microrhythmic alteration for a duration of 20-60 milliseconds, according to the detection
threshold determined by factors such as sample tempo, instrument, density, musical
foreground vs. background, etc. Based on Clarke's 1989 study that found a baseline
threshold of 20ms for micro-rhythmic alteration, each specific alteration detection
threshold itself was arrived at through extensive if informal pre-screening during the
stimuli creation phase. In addition, Clarke found that the detection threshold was
influenced by sequential position and pitch structure of the musical phrase. Thus, a
4 Originally, statistics were to be compiled on each participant's performance within each group of
musical stimuli. Unfortunately, this was scrapped due to the lack of participation that came to affect all
descriptive statistics within the study.
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note or chord was selected if it was neither pivotal to the musical phrase nor completely
insignificant, on the assumption that too obvious a note would lead to a ceiling effect for
detection and too subtle a note would lead to an analogous floor effect. Similarly, the
time of alteration was selected to provide a just-noticeable difference, again in order to
avoid either ceiling or floor effects during testinga measure that proved successful.
It is important to note here that each musical example was created such that it
would already include expressive microtiming in order to better approximate actual
performance practice. In the case of the classical stimuli and non-generative jazz stimuli,
each example was based on a specific performance and had had expressive timing
applied accordingly by its author. In the case of the generative jazz stimuli, Band in a
Box's algorithm includes expressive timing in its phrases. Thus each alteration of timing
conducted for the experiment was a manipulation of already-existing expressive timing.
Care was taken to only apply expressive timing in the same direction as was already
present. That is, to further lag already-lagged notes or further lead already-lead notes. Of
course, timing was also altered on neutrally timed notes.
Using Logic Pro, each set of midi data was assigned an instrument or number of
instruments (though no more than three) depending on whether the musical segment
featured a solo instrument or multiple instruments. Once an instrument was assigned and
playback demonstrated a natural sounding5 excerpt, a second copy of each excerpt was
created with a single altered note or vertically-stacked chord, a single rhythmic sub-unit.
Logic Pro allowed the specification of a specific number of milliseconds by which the
5 According to the researcher and panel of pre-testers. It happened that more often the synthesized nylon
guitar instrument built into Logic Pro provided more clarity and a more life-like simulation than did the
default piano, saxophone or trumpet settings. Thus, some jazz examples had single-note piano,
saxophone or trumpet lines replaced with a guitar.
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note or chord was displaced. Each pair of examples underwent extensive pre-testing
using a number of informal participants in order to verify that the rhythmic displacement
was neither too easy nor too difficult to detect. Once an acceptable duration of alteration
was found, the amount of displacement was recorded along with each stimulus' type.
Once all 32 stimuli had been created, the creation of an appropriate presentation could
begin.
Using stimuli presentation software Superlab 4.5 two sets of stimuli were
selected for presentation and placed into groups Test A and Test B. In Test A, 16
stimuli were chosen to be presented as altered and 16 as unaltered. Test B featured the
opposite sixteen stimuli altered and unaltered. Ten participants received Test A and nine
Test B. In both tests the stimuli were presented in random order.
Experimental Procedure
Each participant was provided with a lab station and headphones. After pressing a
key to begin the experiment, participants were instructed to listen to the stimulus
presented first. After a brief pause (5) the stimulus was presented again either altered or
unaltered. The participant was instructed to press the Y key on the keyboard if he or
she detected a difference between the first presentation and the second, or the N key if
no difference was detected. After each pair of stimuli, a pause screen prompted the
participant to press a key to continue the experiment. After all 32 stimuli had been
presented, a screen was presented informing the participant that the experiment had
finished. Only one participant was given the experiment at a time and was allowed to
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proceed through the stimuli at his/her own leisure. At the end of each trial, data was
exported into a text file with the response to each stimulus pair in the order in which it
was presented. Each session lasted approximately 15-20 minutes.
Questionnaire6
In an effort to rigorously group participants into their respective classical or
jazz groups, a questionnaire was used before testing to ascertain quantity of training
and performance experience in either classical (written) or jazz (improvised) music.
Some candidates for participation had identical duration of training in both categories
and were therefore rejected. Degree of training was measured in years of formal and/or
informal instruction in either classical or jazz music. Participants were admitted to the
study as long as they had undergone at least two years of formal or informal study in
either musical paradigm, though most had at least five. The 19 participants demonstrated
a wide range of experience, from amateurs with the minimum of experience to seasoned
professionals with decades of training.
Unfortunately, given the small participant pool it was infeasible to attempt to
perform the more desirable statistical analysis and demonstrate a correlation between
years of training experience and microtiming discrimination despite the available data.
The distribution of training was skewed toward classical musicians due to the prevalence
of classically trained musicians in the University of Arkansas music department and the
comparative scarcity of jazz trained musicians. 14 musicians were placed in the
classical category and five in the jazz category. This would come to make deriving
6 Please see attached questionnaire for a complete catalog of information collected from participants.
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inferences from the data difficult due to very high standard deviations within the groups.
Data was also collected regarding participants' years of formal vs. informal
training, professional vs nonprofessional experience, aural training, music theory,
instrument used, age and sex. Though the use of this data ended up outside the purview
of this research, further research may well make use of it in order to make further
correlations with microtiming detection abilities.
Data/Analysis
The key dependent variables measured for this study were the d' values calculated
using each participant's hit and false alarm rate for jazz examples, classical examples and
overall. Rather than simply use the number of correct responses to the test, d' was
selected as the dependent variable due to its ability to take into consideration false alarm
rates as well as correct hits, making for a more sensitive measure of the participant's
ability to detect small changes in rhythm.
For each subject a jazz d', classical d', and overall d' were recorded.
Averaging the overall d' scores for each participant within the groups allowed the main
hypothesis to be tested, that is, that jazz-trained participants would demonstrate a greater
sensitivity to altered microtiming in musical phrases. Thus, an average d' for jazz-
trained participants and an average d' for classically-trained participants were
compared. The results are reproduced in Figure 1:
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Fig. 1 (above): Raw number of hits and false alarms per category
Fig. 2 (below): Hit and false alarm rate per category
d''=Z(hit rate) -Z(false alarm rate)
Fig. 3 (above): Formula used to arrive at d' for each participant
Part.# Jazz Hits Jazz FA Classical Hits Classical FA Total Hits Total FA
1 4 5 2 5 6 10
2 6 3 2 6 8 9
3 3 4 3 4 6 8
4 6 2 5 4 11 6
5 6 2 5 3 11 5
6 5 3 4 4 9 7
7 7 1 2 5 9 6
8 6 3 7 2 13 5
9 2 3 2 6 4 9
10 6 2 4 3 10 5
11 5 4 6 5 11 9
12 3 5 5 3 8 8
13 5 3 3 4 8 7
14 5 2 5 5 10 8
15 4 3 2 6 6 9
16 4 4 3 7 7 11
17 3 5 4 4 7 9
18 5 3 4 4 9 7
19 5 1 2 5 7 6
Part. # Jazz Hit Rate Jazz FA Rate Cl. Hit Rate Cl. FA Rate Total Hit Rate Total FA Rate
1 0.5 0.625 0.25 0.625 0.375 0.625
2 0.75 0.375 0.25 0.75 0.5 0.563
3 0.375 0.5 0.375 0.5 0.375 0.5
4 0.75 0.25 0.625 0.5 0.688 0.375
5 0.75 0.25 0.625 0.375 0.688 0.313
6 0.625 0.375 0.5 0.5 0.563 0.438
7 0.875 0.125 0.25 0.625 0.563 0.375
8 0.75 0.375 0.875 0.25 0.813 0.313
9 0.25 0.375 0.25 0.75 0.25 0.563
10 0.75 0.25 0.5 0.375 0.625 0.313
11 0.625 0.5 0.75 0.625 0.688 0.563
12 0.375 0.625 0.625 0.375 0.5 0.5
13 0.625 0.375 0.375 0.5 0.5 0.438
14 0.625 0.25 0.625 0.625 0.625 0.5
15 0.5 0.375 0.25 0.75 0.375 0.563
16 0.5 0.5 0.375 0.875 0.438 0.688
17 0.375 0.625 0.5 0.5 0.438 0.563
18 0.625 0.375 0.5 0.5 0.563 0.438
19 0.625 0.125 0.25 0.625 0.438 0.375
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Fig. 4 (above): Participant d' value per category
Group Jazz Classical
Mean 0.32472798358 0.074065495807
SD 0.571303933823 0.61374847251
SEM 0.2554948863682
5
0.16403117898488
N 5 14
[p-value = 0.4367]
Fig 5. (above):two tailed t-test results for the two groups
The main null hypothesis tested claimed that there would be no statistically
significant difference in microtiming discrimination ability between the two groups and
that if there were any difference, it would not be attributable to musical training
differences. Though the jazz group did display a greater overall mean d' and thus a
greater sensitivity to microtiming detection, this was not a statistically significant
difference, with the p-value of the two-tailed t-test at 0.4367. Thus the data collected
Participant # Jazz d' C lassical d' Total d' Affi l iation
1 - 0. 318639364 - 0. 9931291142 - 0. 6372787279 Classical
2 0 . 99 3 1 2 9 1 14 2 - 1 .3 4 8 9 7 9 50 0 4 - 0 .1 5 7 3 1 06 8 4 6 Ja zz
3 - 0. 31 8 63 9 36 4 - 0 .3 1 8 63 9 36 4 - 0. 31 8 63 9 3 64 Ja zz
4 1 . 34 8 9 7 9 5 00 4 0 . 3 1 86 3 9 3 6 4 0 . 8 07 4 1 5 7 7 51 C la ssi ca l5 1 .3 4 89 7 95 0 04 0 .6 3 72 7 8 72 7 9 0 .9 7 75 5 28 2 2 2 Ja zz
6 0.637 2787279 0 0.31462136 92 Classical
7 2 . 30 0 6 9 8 7 60 8 - 0 .9 9 3 1 2 9 11 4 2 0 . 4 75 9 5 0 0 4 86 C la ssi ca l
8 0 . 99 3 1 2 9 1 14 2 1 . 8 24 8 3 9 1 30 6 1 . 3 75 9 2 2 9 7 01 C la ssi ca l
9 - 0. 3558503862 - 1. 3489795004 - 0. 8318004348 Classical
10 1 .3 4 89 7 95 0 04 0 .3 1 8 63 9 36 4 0 .8 0 74 1 57 7 5 1 Ja zz
11 0 . 31 8 6 3 9 3 64 0 . 3 55 8 5 0 3 86 2 0 . 3 31 4 6 5 7 2 65 C la ssi ca l
12 -0.6372787279 0.63727 8727 9 0 Classical
13 0 . 63 7 2 7 8 7 27 9 - 0 .3 1 8 6 3 93 6 4 0 . 1 57 3 1 0 6 8 46 C la ssi ca l
14 0.993 1291142 0 0 .31863 9364 Classical
15 0. 318639364 - 1. 3489795004 - 0. 4759500486 Classical
16 0 - 1 .4 6 8 9 8 8 74 4 3 - 0 .6 4 6 0 8 70 9 5 7 C la ssi ca l
17 -0.6372787279 0 -0.314 6213692 Classical
18 0.637 2787279 0 0.31462136 92 Jazz
19 1 . 46 8 9 8 8 7 44 3 - 0 .9 9 3 1 2 9 11 4 2 0 . 1 61 3 2 8 6 7 94 C la ssi ca l
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failed to support a rejection of the null hypothesis at any tolerable significance level when
compared to the generally accepted value required for statistical significance p = 0.05.
Conclusion
The small sample size of the study yielded a much lower chance of detecting a
valid effect due to a very wide confidence interval. Though, numerically participants in
the jazz group were shown on average to be more sensitive to changes in microtiming,
this wide confidence interval demonstrates that repeat experiments with similar
parameters would be unlikely to demonstrate the same effect. Beside that, the fact that
the standard deviations of the two groups are a good deal higher than the difference
between the means indicates non-statistically significant data.
The ratio of musicians in the jazz-trained group to those in the classically-trained
group was unacceptably unbalanced (5 to 14). While the experimental design was sound
and was easily expandable to accommodate many more musicians, the resources were not
available at the time of experimentation to expand testing to include more participants.
For repeat experiments, at least 50 participants would be recommended for more robust
statistical analysis.
Though data were collected on participants' age, sex, training in other musical
arenas, etc, comparisons along these axes were not included in the research after it was
found that no statistically significant result was reached using the main axis of
comparison. Again, in order for this data to be meaningfully incorporated into the
experimental statistics, it would be necessary to include many more participants in the
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study.
That the data failed to support a rejection of the null hypothesis should not be
taken as an indication that the research was somehow unsuccessful. The benefits of these
first steps into a new sub-field of music cognition research are manifold. First, despite
the fact that no significant correlation was found as of yet between type of musical
training and microtiming detection ability, a novel axis of musical cognitive faculty was
tested that as of the date of publication of this research has not been tested in any other
literature. Second, a novel methodology was created to facilitate the creation of altered
musical stimuli by allowing for easy manipulation of a note or group of notes by a given
number of milliseconds. This experimental method could easily be replicated given only
access to a few pieces of software and a minimum of only one computer. The MIDI data
obtained for the study was all from public domain sources or created from scratch using
only the chord progressions of copyrighted material.
Discussion
The overall experimental design was simple and effective. The method of
creating and altering musical stimuli had a very shallow learning curve and was easily
adaptable to an unlimited variety of musical stimuli and many types and durations of
expressive microtiming. The selection of stimuli was unfortunately limited to selections
of music for which MIDI files were available. MIDI files for canonical jazz music are
unfortunately rare, thus experimentation relied mostly on procedurally-generated jazz
music based on the built-in generative algorithms in software Band in a Box. This
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dichotomy between canonical classical music and procedurally-generated jazz music was
not optimal. However, if alterable algorithms were used for the generation of both
classical and jazz music, finer control could be exercised over the music's duration,
tempo, key, and most importantly rhythm. Investigations into advanced music-generating
algorithms could thus be profitable for this research.
The questionnaire provided to participants was thorough, but more rigorous
criteria could be developed for classification of participants into classical and jazz
groups. Indeed, even more desirable would be finding statistical correlation between
performance on the test and extent of training in each paradigm measured in years.
Though the questionnaire included these measurements, many more data points would be
necessary in order to indicate a correlative effect, strong or weak, between the dependent
and independent variables with any statistical significance.
As mentioned above, this experimental design is effective because it can be easily
expanded to accommodate many more participants via multiple testing consoles being
utilized at one time. Further, the method of music alteration involving the combination of
softwares Band in a Box andLogic Pro worked quickly and easily and could potentially
be used to create stimuli that fit into many other paradigms of read and improvisatory
music. In this way, testing would not be limited only to musics from the two paradigms
of musical training discussed here.
Lastly, the method of determining the detection threshold for changes in
expressive microtiming in the stimuli could be improved. During pre-testing, it was
noted that the threshold for detection changed depending on several variables in the
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music, including tempo, sparse/dense texture, pitch of note altered. Because of this, each
stimulus was then altered not according to a specific rubric, but according to the
minimum detectable change for that particular stimulus. After each approximate
detection threshold was found, it was noted that for classical examples, the mean
detection threshold was 33.75 milliseconds, while for jazz examples, the mean was 40
milliseconds. Pragmatically, this method could have been improved by having a larger
panel of pretesters for whom each stimulus was demonstrated initially. Ideally though,
there would be no significant difference in the average time of alteration between types of
stimuli. The easiest means of accomplishing this would be to determine a fixed amount
of alteration for each stimulus which would eliminate any systematic difference between
the two types. However, due to the highly variegated nature of the stimuli (differing
density of sound, tempo, instrumentation, etc.) this change would run the risk of leaving
some alterations nigh undetectable while some would be glaringly obvious, leading to
skewed data for those particular stimuli. The less confounding though more time
consuming method would involve pre-testing more stimuli than were to be used for the
experiment, then ensuring that stimuli were finally chosen for the experiment such that
the average mean across both types was equal or very nearly so. Ultimately, due to the
growing prevalence of research into expressive microtiming, making formal
investigations into the smallest detectable difference between microtiming values for
varying musical parameters could be very valuable to future research.
There are many avenues by which an experiment along similar lines could be
improved or altered in order to test for different cognitive faculties. For example, an ideal
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experiment would account for the variety of training methods within the paradigms of
read music and improvisatory music. For example, participants might be admitted to
the experiment with some years of experience in specifically rock or blues improvisation
or something as unfamiliar as Hindustani classical music improvisation. In addition,
classical musicians could be classified according to their years of experience in reading
sub-genres of western art music, such as early music, baroque music, as each of these
types of music performance involve quite different aural and physical skills which might
well have an impact on the cognitive faculties under scrutiny.
On the subject of cognitive faculties, this same sort of experimental design might
be used to illustrate an effect of musical training paradigm on other faculties beside
microtiming detection. For example, detection of alteration of pitch (via vibrato, for
example), tempo accelerando or ritardando, subtle phrase alteration, relative or absolute
pitch alteration on the phrasal level, and many more. In the event that a correlation was
noted between duration of training and one of these cognitive faculties, an independent
measure of musical skill and development would be newly discovered and testable.
Most relevant to the research conducted, though, would be an improvement in the
type of micro-rhythmic alteration used to modify the musical stimuli in the study. In
actual performance practice, expressive microtiming hardly takes the form of a single
delayed or anticipated note. Rather, expressive microtiming more often occurs at the
phrasal level via playing ahead of or behind the beat. This approach to micro-
rhythmic alteration was rejected in favor of the much simpler single-note alteration for
the sake of limited time and resources. If a novel method of altering entire phrases were
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developed, it would allow for experimental conditions that would much more closely
resemble actual performance conditions.
Bibliography
Berkowitz, A. L., & Ansari, D. (2008). Generation of novel motor sequences: The neural
correlates of musical improvisation. NeuroImage, 41(2), 535543.
doi:10.1016/j.neuroimage.2008.02.028
Berkowitz, A. L., & Ansari, D. (2010). Expertise-related deactivation of the right
temporoparietal junction during musical improvisation.NeuroImage, 49(1), 712
719. doi:10.1016/j.neuroimage.2009.08.042
Berliner, P. F. (2009). Thinking in Jazz: The Infinite Art of Improvisation: The Infinite Art
of Improvisation. University of Chicago Press.
Clarke, E. F. (1989). The perception of expressive timing in music. Psychological
Research, 51(1), 29. doi:10.1007/BF00309269
Honing, H., & Ladinig, O. (2009). Exposure influences expressive timing judgments in
music. Journal of Experimental Psychology: Human Perception and
Performance, 35(1), 281288. doi:10.1037/a0012732
Iyer, V. (2002). Embodied Mind, Situated Cognition, and Expressive Microtiming in
African-American Music.Music Perception, 19(3), 387414.
doi:10.1525/mp.2002.19.3.387
Kendall, J. D. (1985). The Suzuki Violin Method in American Music Education: A Suzuki
Method Symposium. Alfred Music Publishing.
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Lampinen, Dr. James. (2008). SuperLab (Version 4.5) [software]. San Pedro, CA: Cedrus
Corporation.
Large, E. W., & Palmer, C. (2002). Perceiving temporal regularity in music. Cognitive
Science, 26(1), 137. doi:10.1016/S0364-0213(01)00057-X
Lewis, G. E. (2008).A Power Stronger Than Itself: The AACM and American
Experimental Music. University of Chicago Press.
Moreno, S., Bialystok, E., Barac, R., Schellenberg, E. G., Cepeda, N. J., & Chau, T.
(2011). Short-Term Music Training Enhances Verbal Intelligence and Executive
Function.Psychological Science, 22(11), 14251433.
doi:10.1177/0956797611416999
Prouty, K. (2012).Knowing Jazz: Community, Pedagogy, and Canon in the Information
Age. Univ. Press of Mississippi.
Sloboda, J. A. (1985). Expressive skill in two pianists: Metrical communication in real
and simulated performances. Canadian Journal of Psychology/Revue canadienne
de psychologie, 39(2), 273293. doi:10.1037/h0080062
University of Arkansas Student Technology Center. (2012). Band in a Box (Version 12)
[software]. Victoria BC: PG Music Inc.
University of Arkansas Student Technology Center. (2012). Logic Pro (Version 9)
[software]. Cupertino, CA: Apple Inc.
Wong, P. C. M., Skoe, E., Russo, N. M., Dees, T., & Kraus, N. (2007). Musical
experience shapes human brainstem encoding of linguistic pitch patterns.Nature
Neuroscience, 10(4), 420422. doi:10.1038/nn1872
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Fig. 7 (above): Extent of micro-rhythmic alteration for each musical phrase.
Participant # __________
Number Name Source Time Key
1 CSL1 JC Bach Piano Sonata 541 30ms C = Classical
2 CSL2 Bach (BWV 1005) 30ms J = Jazz
3 CSL3 Bach (BWV 995-4) 30ms
4 CSL4 Bach (BWV 1008) 30ms S = Sparse
5 CSA1 30ms D = Dense
6 CSA2 Bach Solo Lute (BWV 998) 20ms
7 CSA3 Bach Solo Cello (1010) 30ms L = Lead
8 CSA4 30ms A = Lag
9 CDL1 30ms
10 CDL2 Schubert 968a 40ms
11 CDL3 Beethoven SQ #3 Op 18 #2 30ms
12 CDL4 Brahms SQ 51-1 C min 30ms
13 CDA1 Mozart Piano Sonata 310 #2 50ms14 CDA2 30ms
15 CDA3 Brahms Op 114 40ms
16 CDA4 Franck FWV 24 #3 for organ 60ms
17 JSL1 40ms
18 JSL2 50ms
19 JSL3 40ms
20 JSL4 40ms
21 JSA1 50ms
22 JSA2 50ms
23 JSA3 40ms24 JSA4 40ms
25 JDL1 50ms
26 JDL2 40ms
27 JDL3 40ms
28 JDL4 30ms
29 JDA1 30ms
30 JDA2 30ms
31 JDA3 30ms
JC Bach Sonata in G maj 2
Sor Etude in B min
Debussy Golliwog's Cakewalk
Haydn Cantata Hob XXVIb 3
Polka Dots and Moonbeams (BiB)
Django (BiB)
Darn That Dream (BiB)
Days of Wine and Roses (thejazzpa
Polka Dots and Moonbeams (BiB)
Ornithology (BiB)
Blue Bossa (BiB)East of the Sun (thejazzpage.de)
Stella by Starlight (thejazzpage.de)
Daahoud (BiB)
Black Narcissus (thejazzpage.de)
There Will Never Be Another You (Bi
Wave (thejazzpage.de)
Autumn Leaves (thejazzpage.de)
There Will Never Be Another You (Bi
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name ___________________________________________
email ___________________________________________
age _________
gender (female / male / other)
years of training in classical music _________
years of formal training _________
(lessons, ensembles, etc)
years of informal training _________(self-teaching, etc)
years of training in improvisatory music _________
(training will be considered improvisatory so long as not all
aspects of the music are decided upon before performance.)
years of formal training _________
(lessons, ensembles, etc)
years of informal training _________(self-teaching, etc)
years of training in aural perception skills _________
years of training in music theory _________
total years musical training _________
primary instrument[s] ________________________________
do you make your primary living playing music? ( yes / no )
if yes: ( mostly classical / mostly jazz / equal time in both / other ) ?
Published results will be anonymous.
Fig. 8 (above): Participant questionnaire