Pulse, beat and measure s: beat level shown in middle with division levels above and multiple levels below. Most music, dance and oral poetry establishes and maintains an underlying "metric level", a basic unit of time that may be audible or implied, the
pulse or
tactus of the
mensural level, or
beat level, sometimes simply called the
beat. This consists of a (repeating) series of identical yet distinct
periodic short-duration
stimuli perceived as points in time. The "beat" pulse is not necessarily the fastest or the slowest component of the rhythm but the one that is perceived as fundamental: it has a
tempo to which listeners
entrain as they tap their foot or dance to a piece of music. It is currently most often designated as a crotchet or
quarter note in western notation (see
time signature). Faster levels are
division levels, and slower levels are
multiple levels.
Maury Yeston clarified "Rhythms of recurrence" arise from the interaction of two levels of motion, the faster providing the pulse and the slower organizing the beats into repetitive groups. "Once a metric hierarchy has been established, we, as listeners, will maintain that organization as long as minimal evidence is present".
Unit and gesture A
durational pattern that synchronises with a
pulse or pulses on the underlying
metric level may be called a
rhythmic unit. These may be classified as: • Metric – even patterns, such as steady
eighth notes or pulses; • Intrametric – confirming patterns, such as
dotted eighth-
sixteenth note and
swing patterns; • Contrametric – non-confirming, or
syncopated patterns; and • Extrametric – irregular patterns, such as
tuplets. {{Image frame|border=no|caption=From left to right:
metric,
intrametric,
contrametric, and
extrametric rhythmic units|align=center|content= >}} A rhythmic gesture is any
durational pattern that, in contrast to the rhythmic unit, does not occupy a period of time equivalent to a pulse or pulses on an underlying metric level. It may be described according to its beginning and ending or by the rhythmic units it contains. Rhythms that begin on a strong pulse are
thetic, those beginning on a weak pulse are
anacrustic and those beginning after a rest or tied-over note are called
initial rest. Endings on a strong pulse are
strong, on a weak pulse,
weak and those that end on a strong or weak upbeat are
upbeat.
Alternation and repetition Rhythm is marked by the regulated succession of opposite elements: the
dynamics of the
strong and weak beat, the played beat and the inaudible but implied
rest beat, or the long and short note. As well as perceiving rhythm humans must be able to anticipate it. This depends on
repetition of a pattern that is short enough to memorize. The alternation of the strong and weak beat is fundamental to the ancient language of poetry, dance and music. The common
poetic term "foot" refers, as in dance, to the
lifting and tapping of the foot in time. In a similar way musicians speak of an
upbeat and a
downbeat and of the
"on" and "off" beat. These contrasts naturally facilitate a dual hierarchy of rhythm and depend on repeating patterns of duration, accent and rest forming a "pulse-group" that corresponds to the
poetic foot. Normally such pulse-groups are defined by taking the most accented beat as the first and
counting the pulses until the next accent. A rhythm that accents another beat and de-emphasises the downbeat as established or assumed from the melody or from a preceding rhythm is called
syncopated rhythm. Normally, even the most complex of meters may be broken down into a chain of duple and triple pulses either by
addition or division. According to
Pierre Boulez, beat structures beyond four, in western music, are "simply not natural".
Tempo and duration The tempo of the piece is the speed or frequency of the
tactus, a measure of how quickly the beat flows. This is often measured in 'beats per minute' (
bpm): 60 bpm means a speed of one beat per second, a frequency of 1 Hz. A
rhythmic unit is a durational pattern that has a period equivalent to a pulse or several pulses. The duration of any such unit is inversely related to its tempo. Musical sound may be analyzed on five different time scales, which Moravscik has arranged in order of increasing duration. • Supershort: a single cycle of an audible wave, approximately – second (30–10,000 Hz or more than 1,800 bpm). These, though rhythmic in nature, are not perceived as separate events but as continuous
musical pitch. • Short: of the order of one second (1 Hz, 60 bpm, 10–100,000 audio cycles). Musical tempo is generally specified in the range 40 to 240 beats per minute. A continuous pulse cannot be perceived as a musical beat if it is faster than 8–10 per second (8–10 Hz, 480–600 bpm) or slower than 1 per 1.5–2 seconds (0.6–0.5 Hz, 40–30 bpm). Too fast a beat becomes a
drone, too slow a succession of sounds seems unconnected. This time frame roughly corresponds to the human
heart rate and to the duration of a single step, syllable or
rhythmic gesture. • Medium: ≥ few seconds, this median durational level "defines rhythm in music" as it allows the definition of a rhythmic unit, the arrangement of an entire sequence of accented, unaccented and silent or "
rest" pulses into the
cells of a
measure that may give rise to the "briefest intelligible and self-existent musical unit", a
motif or
figure. This may be further organized, by repetition and variation, into a definite
phrase that may characterise an entire genre of music, dance or poetry and that may be regarded as the fundamental formal unit of music. • Long: ≥ many seconds or a minute, corresponding to a durational unit that "consists of musical phrases"—which may make up a melody, a formal section, a poetic
stanza or a characteristic
sequence of
dance moves and steps. Thus the temporal regularity of musical organisation includes the most elementary levels of
musical form. • Very long: ≥ minutes or many hours, musical compositions or subdivisions of compositions.
Curtis Roads takes a wider view by distinguishing nine-time scales, this time in order of decreasing duration. The first two, the
infinite and the supra musical, encompass natural periodicities of months, years, decades, centuries, and greater, while the last three, the
sample and subsample, which take account of digital and electronic rates "too brief to be properly recorded or perceived", measured in millionths of seconds (
microseconds), and finally the
infinitesimal or infinitely brief, are again in the extra-musical domain. Roads' Macro level, encompassing "overall musical architecture or
form" roughly corresponds to Moravcsik's "very long" division while his Meso level, the level of "divisions of form" including
movements,
sections,
phrases taking seconds or minutes, is likewise similar to Moravcsik's "long" category. Roads'
Sound object: "a basic unit of musical structure" and a generalization of
note (
Xenakis' mini structural time scale); fraction of a second to several seconds, and his
Microsound (see
granular synthesis) down to the threshold of audible perception; thousandths to millionths of seconds, are similarly comparable to Moravcsik's "short" and "supershort" levels of duration.
Rhythm–tempo interaction One difficulty in defining rhythm is the dependence of its perception on tempo, and, conversely, the dependence of tempo perception on rhythm. Furthermore, the rhythm–tempo interaction is context dependent, as explained by Andranik Tangian using an example of the leading rhythm of "Promenade" from
Moussorgsky's
Pictures at an Exhibition: This rhythm is perceived as it is, rather than as the first three events repeated at a double tempo (denoted as
R012 = repeat from 0, one time, twice faster): However, the motive with this rhythm in the Moussorgsky's piece is rather perceived as a repeat This context-dependent perception of rhythm is explained by the principle of correlative perception, according to which data are perceived in the simplest way. From
Kolmogorov's complexity theory, this means a representation of the data that minimizes the amount of memory. The example considered suggests two alternative representations of the same rhythm: as it is, and as the rhythm-tempo interaction – a two-level representation in terms of a generative rhythmic pattern and a "tempo curve". Table 1 displays these possibilities both with and without pitch, assuming that one duration requires one byte of information, one byte is needed for the pitch of one tone, and invoking the repeat algorithm with its parameters
R012 takes four bytes. As shown in the bottom row of the table, the rhythm without pitch requires fewer bytes if it is "perceived" as it is, without repetitions and tempo leaps. On the contrary, its melodic version requires fewer bytes if the rhythm is "perceived" as being repeated at a double tempo. Thus, the loop of interdependence of rhythm and tempo is overcome due to the simplicity criterion, which "optimally" distributes the complexity of perception between rhythm and tempo. In the above example, the repetition is recognized because of additional repetition of the
melodic contour, which results in a redundancy of the musical structure, making the recognition of the rhythmic pattern "robust" under tempo deviations. Generally speaking, the more redundant the "musical support" of a rhythmic pattern, the better its recognizability under augmentations and diminutions, that is, its distortions are perceived as tempo variations rather than rhythmic changes:
Metric structure : Each cell of the grid corresponds to a fixed duration of time with a resolution fine enough to capture the timing of the pattern, which may be counted as two bars of four beats in divisive (metrical or symmetrical) rhythm, each beat divided into two cells. The first bar of the pattern may also usefully be counted additively (in measured or
asymmetrical rhythm) as . The study of rhythm, stress, and
pitch in
speech is called
prosody (see also:
prosody (music)): it is a topic in
linguistics and
poetics, where it means the number of lines in a
verse, the number of syllables in each line and the arrangement of those syllables as long or short, accented or unaccented. Music inherited the term "
meter or metre" from the terminology of poetry.) The metric structure of music includes meter, tempo and all other rhythmic aspects that produce temporal regularity against which the foreground details or
durational patterns of the music are projected. The terminology of western music is notoriously imprecise in this area. MacPherson preferred to speak of "time" and "rhythmic shape",
Imogen Holst of "measured rhythm". demonstrates the
waltz, a dance in triple metre. Dance music has instantly recognizable patterns of beats built upon a characteristic tempo and measure. The Imperial Society of Teachers of Dancing defines the
tango, for example, as to be danced in time at approximately 66 beats per minute. The basic slow step forwards or backwards, lasting for one beat, is called a "slow", so that a full "right–left" step is equal to one measure. (
See Rhythm and dance.) relative to the one above, in one instead of two four-beat measures. The general classifications of
metrical rhythm,
measured rhythm, and
free rhythm may be distinguished. Metrical or divisive rhythm, by far the most common in Western music calculates each time value as a multiple or fraction of the beat. Normal accents re-occur regularly providing systematical grouping (measures). Measured rhythm (
additive rhythm) also calculates each time value as a multiple or fraction of a specified time unit but the accents do not recur regularly within the cycle. Free rhythm is where there is neither, such as in Christian
chant, which has a basic pulse but a freer rhythm, like the rhythm of prose compared to that of verse.
See Free time (music). Finally some music, such as some graphically scored works since the 1950s and non-European music such as
Honkyoku repertoire for
shakuhachi, may be considered
ametric.
Senza misura is an Italian musical term for "without meter", meaning to play without a beat, using time to measure how long it will take to play the bar. ==Composite rhythm== 's
Sinfonia in F minor BWV 795, mm. 1–3 A
composite rhythm is the
durations and patterns (rhythm) produced by amalgamating all sounding
parts of a musical
texture. In music of the
common practice period, the composite rhythm usually confirms the
meter, often in metric or even-note patterns identical to the
pulse on a specific metric level. White defines
composite rhythm as, "the resultant overall rhythmic
articulation among all the voices of a
contrapuntal texture". This concept was concurrently defined as "attack point rhythm" by
Maury Yeston in 1976 as "the extreme rhythmic foreground of a composition – the absolute surface of articulated movement". == Counter rhythm ==