backbeat study presentation
TRANSCRIPT
-
8/10/2019 backbeat study presentation
1/31
Ethan Hein
A Study of
Clappingon the
Backbeat
-
8/10/2019 backbeat study presentation
2/31
In 1993, the blues musician Taj Mahal gave a
solo concert at the Modernes Club in Bremen,Germany. The concert was later released as the
album An Evening of Acoustic Music. Tajbegins to play "Blues with a Feeling," and theaudience enthusiastically claps along.
However, they do so on beats one and three,
not two and four like they are supposed to. Tajimmediately stops playing and says, "Wait,
wait, wait. Wait wait. This is schvartze [black]music... zwei and fier, one TWO three FOUR,okay?" He resumes the song, and the audience
continues to clap on the wrong beats. So he
stops again. "No, no, no, no. Everybody's like,ONE, two, THREE, no no no. Classical music,
yes. Mozart, Chopin, okay? Tchaikovsky, right?
Vladimir Horowitz. ONE two THREE. Butschvartze music, one TWO three FOUR, okay?"
He starts yet again, and finally the audience
claps along correctly.
-
8/10/2019 backbeat study presentation
3/31
Research question
To what degree do people knowthat they are supposed to clap on
the backbeat along with theblues and music like it? Doesmusical training or practice
correlate with knowledge of the
backbeat clapping convention?
Hypothesis
Clapping on the backbeat ofdance-oriented 4/4 rhythms
strongly correlates with musical
training and experience in musicof the African diaspora: jazz,
rock, blues, funk, R&B, hip-hop
and related styles. Clapping onthe backbeat correlates weakly
with training and experience in
other musical idioms.
-
8/10/2019 backbeat study presentation
4/31
Musical and rhythmic behavior inhumans creates a temporal
framework, collective emotionality,
a feeling of shared experience, and
cohesiveness to group activities andritualistic ceremonies (Bispham
2006). We see a shadow of musicsancestral purpose when an audience
claps in unison at a concert.
We use coordinated rhythmic movements both for literal physical mirroring and formetaphorical mirroring, i.e. empathy. This socially mediated synchronization
explains why it matters to musicians which beats the audience claps on. Taj Mahal
found it distressing when his audience clapped wrong because it felt like a failure toemotionally connect with them.
Group clapping helps to unify theaudiences perception of the tactus,the central pulse. Bodily movement
does not merely accompany
listening; it enhances our ability tolisten.
-
8/10/2019 backbeat study presentation
5/31
Syncopationis a crucial method of generating rhythmic suspense and drama.
We can consider rhythms to be consonant and dissonant depending ontheir degree of metrical tension. Temperley (2010) defines syncopation as
rhythmic events that are improbable by the norms of classical common-practicerhythm. Syncopation violates the usual rhythmic hierarchy, and "represents theaspect of rhythmic complexity that does not relate to repetitiveness. By this
measure, current popular music is extraordinarily rhythmically complex, even
though it may be simple harmonically and structurally (Temperley 1999).
We can determine the metric salience of each event in a rhythmic pattern by
recursively breaking down a musical pattern (with an initially specified length)
into subpatterns of equal length. The more subdivisions it takes to reach agiven event, the lower its metrical salience. In 4/4 time, the downbeat is the
most salient position, followed by beat three. It would seem natural to clap onthe strongest, most salient beatindeed, this is what many untrained listeners
do. However, the Afro-Caribbean core of American popular/vernacular music
asks us to accent the less metrically salient backbeats instead.
-
8/10/2019 backbeat study presentation
6/31
Background on the backbeat
A backbeat rhythm places percussive accents on the weak beats, typically the
second and fourth beats in 4/4 time. Accented backbeats are most commonlyplayed on the snare drum, but can be performed on any instrument.
The backbeat originated in Dixieland jazz, country and gospel music. It has
since become ubiquitous throughout American and global popular music.While accenting weak beats was a common device in American popular
music throughout the first half of the twentieth century, the term backbeatdid not enter common usage until the advent of rock and roll in the early1950sappropriately enough, since the backbeat is a foundational
component of rock.
-
8/10/2019 backbeat study presentation
7/31
The dominance of the backbeat is a significant factor in the broader Africanizationof American music. You can hear the vestiges of traditional West African music
that survived slavery in the percussion-heavy, improvisationally oriented and
shouted/chanted music on every pop radio station. Generally speaking, Africanmusic is rhythmically complex and harmonically static, a neat inverse of Europes
harmonically rich but rhythmically unsophisticated tradition. American musical
history is largely shaped by the collision between these two musical cultures,along with contributions from immigrant groups and international influences.
-
8/10/2019 backbeat study presentation
8/31
In spite of the backbeat's popularity, it is widelymisunderstood. The tangled history of Americas racial
and class politics may provide an explanation. The
backbeat originated in the music of marginalized groups:African-Americans, poor rural whites, and immigrants.
Their music styles have been regarded throughout their
history to be disreputable, low-class, primitive andbarbaric, even perceived as undermining the moral fabric
of society entirely. Funk in particular threatens
Americans more puritanical instincts, due to itsassociations with bodily functions and sexual odors.
Terms of praise among funk musicians include dirty, filthy,
raw, stanky and nasty. These bodily metaphors areintrinsic to funks appeal, particularly its ability to inspire
audience participation and dancing, but a great many
Americans find them anxiety-producing, even threatening.Furthermore, funks overt Afrocentrism provokes racial
anxieties that have only been heightened by hip-hop. The
jazz drummer Max Roach is quoted by Greenwald (2002):"The thing that frightened people about hip-hop was that
they heard rhythmrhythm for rhythm's sake."
-
8/10/2019 backbeat study presentation
9/31
As long as Americans devalue the
bodily intelligence represented by thebackbeat, they will naturally continue
to misunderstand and demean it.McClary (1989) argues that it requiresgreater skill and musicality to produce
the groove in a dance-oriented Earth,
Wind & Fire song than to generatethe self-denying, difficult rhythms"
in modern classical music. "One needonly observe professional classicalperformers attempting to capture
anything approaching swing (forget
about funk!) to appreciate how trulydifficult this apparently immediate
music is. We may hope that backbeat-
based dance music will continue tofind the acceptance and understanding
that has thus far failed to match its
popularity.
-
8/10/2019 backbeat study presentation
10/31
Procedure
Participants filled out questionnairesasking them to self-evaluate their degree of
sophistication with African diasporic musicand music generally. They then clapped toa series of breakbeats representative of
contemporary dance music. The beats were
looped continuously in Ableton Live 8.Participants were told to clap along in
whatever way they felt to make the mostmusical sense. Their performances wererecorded via a Macbook Pros built-in
microphone into Live. The experimenter
stopped recording when the participantwas observed to be clapping in a stable
pattern. The drum loops were presented in
a mostly random order, with exception ofthe the most complex break. This was
presented last, out of concern that
participants would be discouraged by it.
-
8/10/2019 backbeat study presentation
11/31
Methodology
The twenty-two study participants wereNew York City residents between
twenty and forty years old, spanning abroad variety of nationalities andcultural backgrounds. Most had formal
musical experience and training, some
up to the professional level, but effortwas made to include non-musicians as
well. The stimuli were breakbeatschosen on the basis of their familiarity toeven casual listeners of contemporary
backbeat-driven African diasporic
music. All are in 4/4 time at medium tofast dance tempi. Their instrumentation
is limited to standard drum kit, except
for Take Me to the Mardi Gras, whichadds bells and found sounds. The
breakbeats are listed below in order of
increasing complexity.
-
8/10/2019 backbeat study presentation
12/31
-
8/10/2019 backbeat study presentation
13/31
Impeach the President
This two-bar drum pattern opens a little-known 1973 song by the HoneyDrippers. Despite the source recordings obscurity, the breakbeat is one of
the most common samples in hip-hop. It has appeared in songs by Audio
Two, Eric B. and Rakim, Big Daddy Kane, Biz Markie, Slick Rick, Nice &Smooth, De La Soul, Mary J. Blige, Digable Planets, Notorious B.I.G. and the
Wu-Tang Clan, among many others.
-
8/10/2019 backbeat study presentation
14/31
Take Me to the Mardi Gras
The opening to Bob James 1975 instrumental version of Paul Simon's song"Take Me to the Mardi Gras" combines a funk beat, an agog bell pattern
and some sampled radio chatter. This break is best known as the basis for
"Peter Piper" by Run-DMC, and has also been sampled by LL Cool J, theBeastie Boys, Missy Elliott, Common and the Wu-Tang Clan. It is distinctive
in its blend of traditional Afro-Caribbean rhythm, American funk and
musique concrte.
-
8/10/2019 backbeat study presentation
15/31
The Funky Drummer
"The Funky Drummer Parts One and Two" by James Brown and the JBs,
recorded in 1969, was not well known until the first generation of hip-hop
producers discovered Clyde Stubblefield's drum break. In 1986, Polydorreleased In The Jungle Groove, a compilation featuring the hard-edged,
open-ended grooves preferred by hip-hop listeners. It was the first album
release of "The Funky Drummer Parts One and Two" and also included asampling-friendly remix of the break, "Funky Drummer (Bonus Beat
Reprise)." The break has since appeared in uncountably many hip-hop,
dance, pop and rock songs.
-
8/10/2019 backbeat study presentation
16/31
Amen, Brother
There are few sounds more important to electronic dance music than
Gregory Cylvester Coleman's drum break in "Amen Brother" by the
Winstons, an obscure B-side to the minor hit "Color Him Father." Since theAmen break began to appear in hip-hop songs in the early 1980s, it has
become ubiquitous throughout all styles of electronic dance music. Inparticular, the beats in the Drum n Bass genre consist almost entirely ofreshuffled and altered versions of the Amen break. The break has crossed
over into the popular mainstream as well, even appearing in television
theme songs and commercials.
-
8/10/2019 backbeat study presentation
17/31
The questionnaires were adapted from Mllensiefen, D., Gingras, B., Stewart,
L. & Musil, J. (2011). The Goldsmiths Musical Sophistication Index (Gold-MSI):
Technical Report and Documentation v0.9. London: Goldsmiths, University of
London. Unless otherwise specified, question response choices were:1. Completely Disagree2. Strongly Disagree
3. Disagree
4. Neither Agree nor Disagree
5. Agree6. Strongly Agree
7. Completely Agree
For the purposes of the questionnaire, African diasporic music includes but is
not limited to the following genres and their subgenres. Blues Gospel (spirituals)
Jazz (ragtime, swing, bebop, free/avant-garde, fusion, Latin, bossa)
Country (bluegrass, zydeco) R&B (doo-wop, soul, funk, disco)
Rock (rockabilly, punk, indie, metal)
Afro-Caribbean (son, rumba, salsa and merengue, calypso, soca, etc.) Reggae (ska, dub, dancehall)
Electronic dance music (electro, house, techno, drum n bass, dubstep, etc.)
Hip-Hop
-
8/10/2019 backbeat study presentation
18/31
1. I often listen to African diasporic music as a mainactivity.
2. I consider one or more forms of African diasporicmusic to be a central part of my identity.
3. Certain pieces of African diasporic music can sendshivers down my spine.
4. I use African diasporic music to calm myself whenI'm stressed.
5. I'm intrigued by musical styles I'm not familiar withand want to find out more.
6. I generally tap or clap along when listening toAfrican diasporic music.
7. I think that African diasporic music is very importantfor setting the atmosphere of an occasion.8. I can compare and discuss differences between two
performances or versions of the same piece of Africandiasporic music.
9. I can clap along to music in a group situation withouthaving to follow other people's lead.
10. I have been complimented for my talents as a musicalperformer in one or more African diasporic styles.
11. I can tell when people sing or play out of time withthe beat.
12. The ability to play African diasporic music is a veryvaluable skill.
13. I have no difficulty in distinguishing between Africandiasporic musical genres.
14. African diasporic music is an addiction for me - Icouldn't live without it.
a. 0b. 1c. 2
d. 3
e. 4 5f. 6 9g. 10 or more
a. 0b. !
c. 1d. 2
e. 3 5f. 6 9g. 10 or more
a. 0 - 15 minutesb. 15 - 30 minutes
c. 30 - 60 minutesd. 60 - 90 minutes
e. 2 hoursf. 2 - 3 hours
g. 4 hours or more
a. 0b. 1c. 2
d. 3
e. 4 6f. 7 10g. 11 or more
African Diasporic Musical Sophistication Assessment
15. I often read or search the internet for things related toAfrican diasporic music.
16. I often pick particular African diasporic music to motivate orexcite me.
17. I have engaged in regular daily practice of African diasporicmusic on an instrument or vocally for this many years:
18. I have had formal training in an African diasporic style onany instrument (including voice) for this many years:
19. I listen attentively to African diasporic music for this
amount of time per day:
20. I have attended this many live African diasporic musicevents as an audience member in the past twelve months:
-
8/10/2019 backbeat study presentation
19/31
General Musical Sophistication Assessment
1. I often listen to any kind of music as a main activity.2. I consider one or more forms of any kind of music
to be a central part of my identity.
3. Certain pieces of music can send shivers down myspine.
4. I use any kind of music to calm myself when I'mstressed.
5. If I hear two tones played one after another, I have
no trouble judging which of them is higher.6. I generally tap or clap along when listening to any
music with a beat.7. I think that music in general is very important for
setting the atmosphere of an occasion.8. I can compare and discuss differences between two
performances or versions of the same piece of anykind of music.
9. I can sing or play music from memory.
10. I have been complimented for my talents as amusical performer in any style.
11. I can tell when people sing or play out of tune.12. The ability to play any kind of music is a very
valuable skill.13. I have no difficulty in distinguishing between
musical genres.14. Music of any kind is an addiction for me - I couldn't
live without it.
15. I often read or search the internet for things related toany kind of music.
16. I often pick particular music to motivate or excite me.
17. I have engaged in regular daily practice of any kind ofmusic on an instrument or vocally for this many years:
18. I have had formal training in any style of music onany instrument (including voice) for this many years:
19. I listen attentively to any kind of music for this amountof time per day:
20. I have attended this many live music events of any kindas an audience member in the past twelve months:
a. 0b. 1c. 2
d. 3
e. 4 5f. 6 9g. 10 or more
a. 0b. !c. 1d. 2
e. 3 5f. 6 9g. 10 or more
a. 0 - 15 minutes
b. 15 - 30 minutesc. 30 - 60 minutesd. 60 - 90 minutes
e. 2 hours
f. 2 - 3 hoursg. 4 hours or more
a. 0b. 1c. 2d. 3
e. 4 6f. 7 10g. 11 or more
-
8/10/2019 backbeat study presentation
20/31
Results
This image shows Take Me to the Mardi Gras and the first few recorded responses.
The top waveform is the stimulus. The tracks below show three participantsclapping on the backbeats, followed by one clapping on the strong beats.
-
8/10/2019 backbeat study presentation
21/31
Most participants interpreted the instructions to mean that they should
simply clap to the beat. A minority used more expressive and complexclapping patterns, or settled into haphazard and idiosyncratic patterns. Two
participants results were not used, as their clapping did not ever settle intodistinguishable patterns.
The following five figures display aggregate clapping results for each
stimulus. The vertical axes show total number of claps recorded across allparticipants.
The Funky Drummer
0
2
4
6
8
10
12
14
16
18
20
1 + 2 + 3 + 4 +
-
8/10/2019 backbeat study presentation
22/31
Impeach the President
0
2
4
6
8
10
12
14
16
18
1 + 2 + 3 + 4 +
0
2
4
6
8
10
12
14
16
18
20
1 + 2 + 3 + 4 +
Take Me to the Mardi Gras
The majority of
participants clapped
consistently on thebackbeats. Contrary to
expectation, the beat to
receive the next mostclaps was not the
downbeat; rather, beat
three received slightlymore claps. This may
indicate a slight
preference for thehyper-backbeat,
considering a measure
to be two bars of four.
-
8/10/2019 backbeat study presentation
23/31
Amen, Brother
0
2
4
6
8
10
12
14
16
1 + 2 + 3 + 4 +
As expected, the Amen breakproduced the most variation
in clapping patterns, since itshigh degree of syncopationtended to throw participants
off. Surprisingly, of the
remaining stimuli, Billie Jeanshowed the most variation in
responses, in spite of itssimplicity. Several participantsreported being distracted by
the recordings familiarity;
they said that they werewaiting for the bassline and
synthesizer stabs to enter, andwere attempting to clap tothose other patterns.
Billie Jean
0
2
4
6
8
10
12
14
16
18
1 + 2 + 3 + 4 +
-
8/10/2019 backbeat study presentation
24/31
Subjectnumber
African diasporicmusical sophisticationscore
General musicalsophisticationscore
Ratio of Africandiasporic to generalsophisticationscores
Backbeatclappingscore
7593 107 95 1.13 5
2423 105 99 1.06 10
3926 110 105 1.05 10
2524 58 57 1.02 10
6147 68 67 1.01 87767 77 76 1.01 6
2415 104 103 1.01 7
7098 105 107 0.98 10
849 89 92 0.97 9
7155 55 57 0.96 1
285 107 112 0.96 10
2683 106 111 0.95 3
5094 96 101 0.95 10
2982 100 107 0.93 10
675 105 117 0.90 104378 86 96 0.90 10
9876 87 99 0.88 6
5406 87 115 0.76 8
2630 49 95 0.52 1
5769 37 90 0.41 3
Mean 86.90 95.05 0.92 7.35
StandardDeviation 22.33 17.80 0.17 3.20
This table shows participants musical sophistication and backbeat
clapping scores. We expected participants with the largest ratio ofAfrican diasporic to general musical sophistication to have the
highest backbeat clapping scores. This was indeed largely the
case, though there was more variation than expected.
-
8/10/2019 backbeat study presentation
25/31
Subjectnumber
Ratio of Africandiasporic musicalsophistication score tobackbeat clapping score
Ratio of generalmusicalsophistication scoreto backbeat clappingscore
7593 21.40 19.00
2423 10.50 9.90
3926 11.00 10.50
2524 5.80 5.70
6147 8.50 8.38
7767 12.83 12.67
2415 14.86 14.71
7098 10.50 10.70
849 9.89 10.22
7155 55.00 57.00
285 10.70 11.202683 35.33 37.00
5094 9.60 10.10
2982 10.00 10.70
675 10.50 11.70
4378 8.60 9.60
9876 14.50 16.50
5406 10.88 14.38
2630 49.00 95.00
5769 12.33 30.00
Mean 16.59 20.25
StandardDeviation 13.64 21.35
A comparison of
participants musical
sophistication scores
to their backbeatclapping scores shows
significant variationfrom the mean. The
noisiness of the
results is most likelythe result of the
questionnaires
intrinsic subjectivity.
-
8/10/2019 backbeat study presentation
26/31
African Diasporic Music Sophistication Scorevs Backbeat Clapping Score
General Music Sophistication Scorevs Backbeat Clapping Score
0
1
2
3
4
5
6
7
8
9
10
0 20 40 60 80 100 120 140
Backbeatclapping
scores
Musical sophistication scores
A graph showing lines of best fit through scatter plots of the compared musical
sophistication and backbeat clapping scores reveals an unambiguous positive
correlation between both African diasporic and general musical sophistication scoresand backbeat clapping scores. Furthermore, as expected, the correlation is stronger
for African diasporic musical sophistication than for general musical sophistication.
-
8/10/2019 backbeat study presentation
27/31
-
8/10/2019 backbeat study presentation
28/31
Finally, subject 5769 was an interesting outlier. He is an accomplished tabla player inthe Hindustani classical tradition, but he has had little exposure to Western music, and
is almost totally unfamiliar with African diasporic music. He was the only participant
to have encountered all five breakbeats for the first time during the experiment, andhis clapping choices were totally idiosyncratic:
Billie Jean: and of two, and of four, i.e. the backbeats displaced half a beat.
Impeach the President: and of two, and of three. Take Me to the Mardi Gras: a complex sixteenth-note pattern.
The Funky Drummer: and of three, four, and of four.
Amen, Brother: another complex sixteenth-note pattern.It would be a fascinating
exercise to record him
improvising on the tablain reaction to these and
other breakbeats. In
addition to itsmusicological value, it
would likely make an
enjoyable work of art.
-
8/10/2019 backbeat study presentation
29/31
Problems and challenges
The greatest limitation of the study lies in the method of quantifying musicalsophistication. This study likely understates the difference between the ratio of
African diasporic sophistication score to backbeat clapping score versus the ratioof general musical sophistication score to backbeat score. African diasporic musicis a subset of music generally, not an oppositional category.
As mentioned in the Results section, the noisiness of the data is likely caused bythe participants subjective responses to the questionnaires. Reducing all of the
intricate complexities of a persons musical knowledge and experience to a singlenumber is an inherently problematic undertaking. The Goldsmiths MusicalSophistication Index is as good a tool as one could ask for, but it still suffers from
the vagaries of subjective self-evaluation. Respondents may overvalue or
undervalue their abilities; they may use more or less stringent value scales toevaluate themselves; they may interpret questions and instructions in unexpected
ways. The Goldsmiths survey seeks to compensate for these problems by asking agreat many questions with as much precision of language as possible. However,the Goldsmiths surveys thoroughness poses a problem of its own, since filling it
out is quite time-consuming. The present experiment sacrifices a great deal of the
Goldsmiths surveys nuance in favor of a more manageably brief questionnaire.
-
8/10/2019 backbeat study presentation
30/31
Directions for further research
The experiment did not strictly compare clapping on the backbeat to clappingon the strong beats; rather, it compared both of these categories to clapping
on every eighth note, or every quarter note, or some other combination ofbeats. It would perhaps have been better to instruct participants to clap out asteady beat, rather than allowing them to clap in whatever manner they
chose. However, in the interest of including non-musicians, it was ultimately
decided to keep the instructions open-ended. It would be interesting to seewhether a study restricting participants to strong beats or backbeats only
would strengthen or weaken the present studys findings.
Another intriguing line of research would be to test familiarity with other
customary clapping patterns, for example Afro-Cuban son clave. While this
pattern is not as familiar or ubiquitous as the backbeat, it is still afoundational motif throughout African diasporic music. However, because
the pattern is more complex and subtle, it would likely be necessary torestrict test subjects to musicians in order to obtain meaningful results.
-
8/10/2019 backbeat study presentation
31/31
Baraka, A. (1963). Blues People: Negro Music in White America. NewYork: Quill.
Baur, S. (2012). Backbeat. The Grove Dictionary of American Music,2nd edition.
Bispham, J. (2006). Rhythm in Music: What is it? Who has it? AndWhy? Music Perception, 24(2), 125134.
Butterfield, M. (2011). Why Do Jazz Musicians Swing Their EighthNotes? Music Theory Spectrum, Vol. 33, No. 1, 3-26.
Butterfield, M. (2010). The Power of Anacrusis: Engendered Feeling in
Groove-Based Musics. Music Theory Online, 12 (4).
Fitch, W. T., & Rosenfeld, A. J. (2007). Perception and Production ofSyncopated Rhythms. Music Perception, 25(1), 4358.
Grahn, J. A., & Brett, M. (2007). Rhythm and Beat Perception in MotorAreas of the Brain. Journal of Cognitive Neuroscience, 19(5), 893906.
Greenwald, J. (2002) Hip-Hop Drumming: The Rhyme May Define,but the Groove Makes You Move. Black Music Research Journal, Vol.
22, No. 2, 259-271.
Huron, D. and Ommen, A. (2006). An Empirical Study of Syncopationin American Popular Music, 18901939. Music Theory Spectrum, Vol.28, No. 2, 211-231.
Ladinig, O., Honing, H., Haden, G. and Winkler, I. (2009). ProbingAttentive and Preattentive Emergent Meter in Adult Listeners WithoutExtensive Music Training. Music Perception 26. 4 (Apr): 377-386.
Martens, P. (2011). The Ambiguous Tactus: Tempo, SubdivisionBenefit, and Three Listener Strategies. Music Perception 28. 5 (Jun2011): 433-448.
McClary, S. (1989). Terminal Prestige: The Case of Avant-GardeMusic Composition. Cultural Critique, No. 12, pp. 57-81.
McKinney, M. F., & Moelants, D. (2006). Ambiguity in TempoPerception: What Draws Listeners to Different Metrical Levels?Music Perception, 24(2), 155166.
Phillips-Silver, J., Aktipis, C. A., & A Bryant, G. (2010). The Ecologyof Entrainment: Foundations of Coordinated Rhythmic Movement.
Music Perception, 28(1), 314.
Stewart, A. (2000). 'Funky Drummer': New Orleans, James Brownand the Rhythmic Transformation of American Popular Music.Popular Music, Vol. 19, No. 3, 293-318.
Tamlyn, G. (1998). The Big Beat: Origins and Development of SnareBackbeat and other Accompanimental Rhythms in Rock n Roll. PhDthesis, University of Liverpool.
Temperley, D. (2010). Modeling Common-Practice Rhythm. MusicPerception: An Interdisciplinary Journal, Vol. 27, No. 5, pp. 355-376.
Temperley, D. (1999). Syncopation in Rock: a Perceptual Perspective.Popular Music, Volume 18/1.
Toiviainen, P.; Luck, G.; Thompson, M. (2010). Embodied Meter:Hierarchical Eigenmodes in Music-Induced Movement. MusicPerception 28. 1: 59-70.
References