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Note value

In music notation, note value—also known as time value or duration—refers to the relative length of time a is sustained or a is held, forming the basis of in musical compositions. These values are denoted through specific symbols, including the shape of the (open or filled), the presence of a , and flags or beams for shorter durations, allowing musicians to interpret the temporal structure of a . The most common note values derive from binary subdivisions of a (known as a semibreve in British ), which serves as the foundational unit equal to four in simple quadruple meter like 4/4 time. A (minim) lasts half as long (two ), a (crotchet) one-quarter (one ), an (quaver) one-eighth (half a ), and a (semiquaver) one-sixteenth (a quarter ), with each subsequent value halving the previous through added notation like flags. Rarer durations include the (breve), twice a , and the 64th note, half a 32nd note, used sparingly in complex rhythms. Note values interact with time signatures to organize music into measures, where the bottom number indicates the note value equaling one beat (e.g., 4 for ), and the top number specifies beats per measure, influencing how values fill bars without exceeding the total duration. Modifications like dotted notes extend a value by half its length (e.g., a dotted equals three eighth notes), while ties connect adjacent notes of the same pitch to combine durations across bar lines. Corresponding rests provide equivalent silences, mirroring note shapes to maintain rhythmic precision. This system, rooted in Western staff notation, enables composers and performers to convey intricate temporal patterns across genres.

Fundamentals

Definition and Purpose

In music notation, note value refers to the duration for which a specific is sustained during , indicating how long the is held relative to the musical . This temporal aspect complements the to fully specify a musical , allowing performers to interpret the length of each within the context of the composition's . Note values play a foundational role in structuring musical by organizing the timing of , which in turn supports elements like and phrasing. They enable the creation of patterned durations that establish and meter, guiding the overall flow and expressive contour of a piece. Without precise note values, the temporal framework essential to Western would collapse, rendering rhythmic coherence impossible. Critically, note values operate on a relative rather than , where durations are proportional to one another and adaptable to varying tempos. For example, in 4/4 time, a equals four s—each quarter note representing one beat—but the actual elapsed time depends on the piece's speed, measured in beats per minute. This flexibility ensures that the same notation can be performed at different paces while preserving rhythmic relationships.

Relative Duration System

The relative duration system in Western music notation establishes proportional relationships among note values through a binary subdivision principle, where each successive note represents half the duration of the preceding one. This hierarchical structure allows composers to precisely notate rhythmic patterns by dividing time into increasingly finer units, facilitating the representation of complex rhythms within a consistent framework. In modern practice, the hierarchy of note values begins with the (double whole note), the longest standard duration and twice the semibreve (), followed by the semibreve, (half note, half the semibreve), (quarter note, half the minim), (eighth note, half the crotchet), (sixteenth note, half the quaver), and (thirty-second note, half the semiquaver). Assuming a common 4/4 where the crotchet equals one beat, these values correspond to relative durations of: breve (8 beats), semibreve (4 beats), minim (2 beats), crotchet (1 beat), quaver (1/2 beat), semiquaver (1/4 beat), and demisemiquaver (1/8 beat). This progression exemplifies the halving, such that one semibreve equals two minims, one minim equals two crotchets, and so forth. Mathematically, the ratios are expressed as powers of 1/2 relative to a base unit, such as the crotchet at 1 beat, yielding the quaver at \frac{1}{2} beat, the semiquaver at \frac{1}{4} beat, and the demisemiquaver at \frac{1}{8} beat; conversely, longer values double accordingly, with the semibreve at 4 beats and the at 8 beats. These ratios ensure that combinations of notes fill measures predictably, as four crotchets equal one semibreve or eight . In interaction with time signatures, note values define the by designating the beat unit—typically the crotchet in simple meters like 4/4—allowing the hierarchy to subdivide or aggregate within the , thus structuring the overall meter and rhythmic flow. For instance, in 4/4 time, the semibreve spans an entire measure, while provide subdivisions for faster passages, enabling precise alignment with the underlying .
Note ValueRelative Duration (beats, crotchet=1)Binary Relation
82 semibreves
Semibreve42 minims
Minim22 crotchets
Crotchet12
Quaver1/22 semiquavers
Semiquaver1/42 demisemiquavers
Demisemiquaver1/8-

Standard Note Values

Primary Symbols and Durations

In modern Western music notation, the primary note values represent the fundamental durations used to structure rhythm, with each subsequent value halving the duration of the previous one in a binary system. These include the whole note, half note, quarter note, eighth note, and sixteenth note, among others, and their durations are typically measured in beats within a given time signature, such as 4/4 time where the quarter note equals one beat. Terminology for these notes differs between American and British English, reflecting historical naming conventions. In American usage, names follow a fractional system (whole, half, quarter, etc.), while British terms derive from older (semibreve, minim, crotchet, etc.). The symbols consist of a (oval shape), optionally filled or open, with or without a and flags for shorter durations. The following table summarizes the primary symbols, their American and British names, brief descriptions, and standard durations in 4/4 time:
American NameBritish NameSymbol DescriptionDuration (Beats in 4/4)
SemibreveOpen oval, no stem4
MinimOpen oval with stem2
CrotchetFilled oval with stem1
QuaverFilled oval with stem and single flag1/2
SemiquaverFilled oval with stem and double flag1/4
These durations establish relative proportions, such that two eighth notes equal one quarter note, two quarter notes equal one half note, and so on, allowing composers to build rhythmic patterns through combinations.

Visual Representation

In standard music notation, note heads serve as the foundational graphical element for representing note values. Whole and half notes feature open (unfilled) oval-shaped heads, while quarter notes and shorter durations use filled (blackened) heads to distinguish them visually. These heads are typically oval rather than perfectly round and are tilted slightly upward to the right for consistency across scores. Stems attach to note heads to further denote shorter durations, with direction determined by the note's position on the staff: stems extend upward from the right side of the head for notes on or below the middle line, and downward from the left side for notes on or above it. For notes on the middle line, the direction may vary based on surrounding notation for balance. Stems are approximately one octave in length (3 1/2 staff spaces), ensuring uniformity. Flags are added to stems for notes shorter than a quarter: a single curved flag extends to the right from the stem's end for eighth notes, while two flags are used for sixteenth notes, also curving toward the head. To enhance , especially in faster passages, individual flags on eighth notes and smaller are often replaced by beams—horizontal lines connecting the stems of multiple adjacent notes. Beams are drawn at a slight angle if needed to align with stem directions and are typically four times thicker than stems, grouping notes in sets that reflect rhythmic or metric divisions. This convention applies primarily to eighth notes and below, promoting cleaner engraving. Note heads are positioned on the five-line , either centered on lines (occupying half the space between adjacent lines) or fully within spaces (touching the lines above and below). For extending beyond the staff's range, short horizontal ledger lines are added, with each line supporting a single head and no additional lines drawn immediately above or below it to avoid clutter. This placement system maintains spatial clarity without altering the core shapes.

Modifications

Articulation Marks

Articulation marks in music notation instruct performers to modify the execution of notes, altering their perceived duration and rhythmic character without changing the written note value. These marks influence the attack, sustain, and release of sounds, shaping the overall phrasing and expression in a composition. Unlike explicit duration modifiers, such as augmentation dots, articulation primarily affects interpretive performance practices in Western music traditions. Staccato is an that shortens the to approximately half its notated , creating a detached effect by inserting a brief equivalent to the omitted portion. For instance, a staccato is typically performed as if it were an followed by an , imparting a light, bouncy rhythmic feel that enhances clarity and energy in passages. This modification does not alter the underlying meter but compresses the sustained sound, making the rhythm feel more fragmented. Tenuto, in contrast, directs the performer to sustain the note for its full written value while applying a subtle emphasis, often through a firmer or slight increase in volume, without extending beyond the notated time. This results in a smooth, weighted execution that maintains the note's complete duration, contributing to a connected and expressive flow. The emphasis adds prominence to the note, altering its perceived importance in the without shortening or lengthening it. An mark applies dynamic stress to the beginning of a , increasing its and relative to surrounding notes, but leaves the unchanged. This creates a punchy, highlighted effect that draws attention to rhythmic or melodic points, modifying the overall by emphasizing beats without disrupting the temporal structure. Accents thus enhance contrast and forward momentum in . These articulations impact performance by refining the rhythmic feel and phrasing, allowing musicians to convey nuance within fixed note values. Staccato introduces separation and playfulness, tenuto fosters sustain and gravity, and accents provide focal points, collectively shaping how listeners perceive the music's flow. In , such marks are interpreted with precision to align with the composer's intent, often resulting in structured, elegant phrasing. In , however, articulations like and accents are applied more flexibly, incorporating rhythms and improvisational inflections to create a looser, conversational phrasing style. The symbols for these marks are standardized in Western notation for clarity:
ArticulationSymbolPlacement
Small dot (·)Above or below
Horizontal line (–)Above or below
Wedge or > symbolAbove or below

Duration Extensions

In music notation, dotted notes extend the duration of a base note by adding half its original value, creating rhythms that emphasize longer-held tones followed by shorter ones. For instance, a dotted quarter note in common time equals 1.5 beats, equivalent to a quarter note plus an eighth note. This augmentation is notated by placing a single dot immediately after the , and the resulting duration follows the formula: dotted duration = original duration + (original duration / 2). Multiple dots further prolong the note by successively halving the added value of the previous dot. A double-dotted note adds three-quarters of the original duration, as in a double-dotted lasting 1.75 beats (quarter + eighth + sixteenth), calculated as original duration + (original duration / 2) + (original duration / 4). Triple-dotted notes, though rarer, extend this pattern by adding an additional one-eighth of the original, resulting in a total of 1.875 times the base value, often used in precise rhythmic contexts to approximate irregular divisions without ties. Ties provide another method to lengthen note values by connecting two or more notes of identical with a curved line, combining their durations into a single sustained tone that can span lines or avoid inconvenient note-value changes. Unlike dots, ties do not alter the or introduce augmentation within a single symbol but enable extensions such as two tied half notes equaling a whole note's four beats, ensuring smooth continuity in phrasing. The fermata (𝄐) is a placed above or below a or to indicate that it should be prolonged beyond its notated duration. The length of the hold is at the discretion of the or conductor, often used to create pauses, emphasize climaxes, or allow for expressive in . It applies to both and , providing flexibility in timing while maintaining rhythmic structure. Dotted rhythms appear prominently in military marches, where patterns like the dotted eighth followed by a drive forward momentum and aid marching precision by aligning with natural subdivisions. In , such as works by composers like Johann Sebastian Bach, double-dotted figures in overtures and suites create dramatic contrasts and propel energetic sections, often performed with slight overdotting for stylistic emphasis.

Variations Across Traditions

Modern Western Notation

In contemporary Western staff notation, note values follow a standardized relative system established through 20th-century engraving practices, with the (whole note) serving as the foundational unit equivalent to four quarter notes in common meters. This convention ensures consistency across printed and digital scores, emphasizing clarity and readability for performers. Professional guidelines, as codified in Elaine Gould's authoritative reference Behind Bars: The Definitive Guide to Music Notation (Faber Music, 2011), outline precise rules for symbol placement, beaming, and proportional spacing to reflect these durations accurately in scores. The supports this through ISO/IEC 10646 (the basis for ), which since its 1993 initial publication and subsequent updates—including the addition of a dedicated Musical Symbols block in 2001—provides encoded representations for note value symbols, enabling uniform digital rendering and interchange of Western notation elements like filled and open note heads for various durations. These encodings ensure that software and fonts consistently depict durations from breves to hemidemisemiquavers without variation. Note values interact dynamically with common time signatures to define rhythmic structure; for instance, in 4/4 (common time), the quarter note receives one beat, allowing combinations such as four quarter notes or one whole note to complete a measure, while in 3/4 (waltz time), three quarter notes fill the bar, promoting a triple meter feel. These interactions guide grouping and beaming: eighth notes in 4/4 are typically beamed in sets of four to align with the beat, enhancing ensemble synchronization, as detailed in standard orchestration texts. Deviations, such as syncopation across bar lines, maintain proportional values but require careful notational cues for precision. In electronic notation software adhering to protocols, durations are quantified in delta-time ticks rather than symbolic values, with the Standard MIDI File 1.0 specification (1989, updated 1996) defining a typical of 480 ticks per based on the file's division field. Note-on and note-off events thus calculate exact lengths—e.g., a spans 960 ticks at this —facilitating playback in workstations while preserving the relative proportions of notation. Variations in ensemble notation adapt these values for practical without altering core durations; orchestral scores often employ shorter values (e.g., favoring eighths over wholes) and condensed beaming to support rapid across multiple staves, whereas scores prioritize longer values and ties for idiomatic hand distribution. Gould's guidelines specify such adjustments, including multi-measure rests in orchestral parts to streamline complex textures.

Historical and Non-Western Systems

In historical and non-Western musical traditions, note values often diverge from the binary subdivision system prevalent in notation, where durations are primarily halved (e.g., whole to half to quarter notes). Instead, these systems emphasize relative proportions, rhythms, or cyclic patterns tied to cultural performance practices, allowing for flexible interpretations that prioritize interplay or textual alignment over fixed precision. In , particularly the Carnatic tradition, note values are structured around the , the fundamental unit of time equivalent to within a tala cycle, which organizes rhythmic patterns into repeating sections of varying lengths, such as the 8-beat Adi tala. Swaras (notes) are notated with durations measured in akshara kalas: a lowercase letter represents one akshara kala, an uppercase indicates two, and a horizontal line above halves the duration, enabling ternary or quintuple subdivisions within the cycle rather than strict binary divisions. This system supports improvisational elaboration, where note lengths extend or contract relative to the tala's (sub-beats), fostering polyrhythmic complexity in performances. In Hindustani music, the analogous serves a similar role, with swara durations aligned to the poetic or rhythmic flow of the tala. Byzantine notation, used in Eastern chant from the medieval period onward, employs —symbolic glyphs that primarily indicate melodic contour and phrasing—with durations inferred from modal rather than explicit values. Temporal signs, such as argies (retards) or aphaeresis (shortenings), modify neume lengths by extending or contracting them proportionally within the echos (), where is dictated by the ison () and textual , often resulting in non-isochronous pulses that contrast with Western mensural precision. This approach ties note values to the liturgical text's natural , allowing performers interpretive freedom in and elongation. African musical traditions, especially in sub-Saharan contexts, feature polyrhythms constructed through layered ostinato patterns, where note values are typically short and interlocking across instruments, avoiding fixed notation in favor of oral transmission and performative synchronization. In transcriptions using Western symbols, these rhythms often appear in divisive forms with ternary or additive subdivisions (e.g., 3:2 polyrhythms), emphasizing metric ambiguity and cross-rhythms over binary hierarchies; for instance, bell patterns in Ewe drumming maintain ostinatos of 12 pulses divided unevenly, with individual notes held briefly to sustain the polyrhythmic texture. This results in durations that are relational to the ensemble's groove, not absolute measures. Chinese gongche notation, a character-based system dating to the Tang dynasty and widely used in imperial court and folk music, primarily denotes pitches via solfege-like symbols (e.g., gong for do), with durations indicated implicitly through spacing, dots, or lines relative to the poetic meter's syllable count and prosodic rhythm. Unlike Western staff notation, gongche lacks inherent rhythmic precision, relying on the ban (strong beats) and yan (weak beats) from accompanying percussion to proportion note lengths, often in cycles of 4 or 8 beats aligned with verse structure; this proportional approach accommodates heterophonic ensemble playing, where durations flex to textual emphasis. These systems highlight key deviations from models: and traditions favor additive or ternary subdivisions for cyclic , Byzantine neumes integrate and textual proportions for expressive variability, and gongche prioritizes poetic alignment over metered exactitude, collectively underscoring as a fluid, culturally embedded element rather than a rigidly notated framework.

Historical Evolution

Pre-Mensural Notation

Pre-mensural notation encompasses the early medieval systems of musical symbols used predominantly for between the 9th and 12th centuries, prior to the emergence of mensural practices that defined precise proportional durations. These notations, known as neumes, originated as adiastematic signs—lacking a for exact measurement—and functioned primarily to capture melodic contours and approximate relative lengths rather than enforce fixed rhythmic values. Central to this system were neumes such as the punctum, a simple dot-like symbol representing a single tone of basic duration, and the podatus (or pes quassus in some variants), a two-note ascending figure that implied a slight elongation on the lower note without specifying absolute time values. The oriscus, often depicted as a small hook or S-shape, denoted a short, ornamental note typically used for quick passages, while the pes, a more extended two-note ascending neume, suggested a longer overall duration compared to the oriscus, emphasizing melodic flow over metric precision. These symbols indicated only relative lengths, allowing performers flexibility based on textual phrasing and . In the context of Gregorian chant, neumes prioritized the rhythmic and expressive qualities of the Latin text, aligning melodic gestures with syllabic declamation to support liturgical recitation rather than imposing a strict metrical framework. This approach reflected the chant's roots in psalmody and antiphonal singing, where durations varied naturally to enhance textual intelligibility and spiritual delivery. From the 9th to the 12th centuries, neumatic notation served as a mnemonic aid for cantors schooled in the oral transmission of melodies, recording only essential cues for those already versed in the repertory rather than providing prescriptive timing for novices. Manuscripts from this period, such as the St. Gall Codex 359 and H. 159, illustrate regional variations like Paleo-Frankish or Aquitanian neumes, but consistently lacked mechanisms for uniform duration control. The ambiguity inherent in these relative indications—particularly the absence of fixed values for note lengths—often resulted in interpretive variations among performers, which ultimately spurred the transition to mensural notation in the late 12th and 13th centuries to establish clearer proportional relationships.

Mensural and Post-Mensural Developments

The mensural notation system emerged in the mid-13th century through the work of Franco of Cologne, whose treatise Ars cantus mensurabilis (c. 1260) formalized precise proportional durations for notes, marking a departure from earlier modal rhythms. Franco recognized three primary note values: the longa (long), brevis (breve), and semibrevis (semibreve), with the longa typically equivalent to three breves in perfect (ternary) time, and the breve to three semibreves, establishing a hierarchical ternary structure that emphasized rhythmic measurement through fixed proportions. This system introduced rules for imperfection and alteration, allowing a longa to be imperfect (binary, worth two breves) when adjacent to another brevis, thus providing flexibility within the primarily perfect framework. In the early 14th century, advanced mensural theory in his influential (c. 1322–1327), which expanded rhythmic possibilities by introducing the minima (minim) as a note value smaller than the semibrevis and promoting duple (imperfect) divisions alongside ones. This innovation enabled more intricate polyphonic textures and , with concepts like modus, tempus, and prolation defining divisions at different levels—such as perfect tempus (three semibreves per breve) versus imperfect tempus (two semibreves per breve)—facilitating the style's complexity. The coexistence of perfect and imperfect modes became central to notation, allowing composers to notate and rhythms systematically. By the , mensural practices evolved toward modern bar notation, with a growing preference for (duple) meters like common time (4/4), as composers and theorists increasingly interpreted mensuration signs to indicate variations and regular barring for clarity. This shift solidified the as dominant, replacing ternary perfections in most secular and instrumental music. In the 18th and 19th centuries, printing innovations by firms like Breitkopf & Härtel, starting with in 1755, standardized engraved scores and disseminated consistent binary note values across , paving the way for notation.

Terminology Origins

Etymological Roots

The etymological roots of note value terminology in Western music notation trace primarily to Latin, reflecting the medieval scholastic tradition of describing durations through relative length descriptors. The term brevis, meaning "short" in Latin, denoted a fundamental unit of duration in early mensural systems, serving as the basis for proportional subdivisions. Similarly, longa, derived from the Latin adjective for "long," indicated an extended value, often equivalent to two or three breves depending on the mensural context. The semibrevis, combining semi- ("half") with brevis, literally signified "half-short," representing a subdivision of the brevis into smaller units. Mensural theory, formalized in the 13th century by theorists like Franco of Cologne, further shaped these terms through concepts of proportional divisions, emphasizing hierarchical relationships among values. In this framework, minimus—from the Latin superlative minimus ("smallest" or "least")—emerged to describe the smallest practical subdivision of the semibrevis, enabling finer rhythmic precision in polyphonic music. These names arose from the need to quantify temporal proportions, such as the triple or duple divisions of the tempus (time unit), rather than absolute durations, aligning with the era's philosophical emphasis on measured perfection. Regional linguistic influences from and traditions contributed to the adoption and persistence of these Latin-derived terms in English . French treatises, such as those by , retained semibreve and minim alongside vernacular adaptations like ronde (round, for whole notes), while sources, including Prosdocimo de' Beldomandi's writings, standardized minima and semiminima in proportional notation. English adoption of terms like "semibreve" and "minim" during the stemmed from these continental influences, particularly through the dissemination of mensural practices via composers like , preserving the Latin roots over purely descriptive English alternatives. Prior to the 13th century, pre-mensural notation in the form of s focused on melodic contour rather than duration, with terms lacking rhythmic specificity. The climacus, for instance, originated from κλῖμαξ (klimax, "" or "") via Latin adaptation, denoting a descending group of two or more notes in compound neumes, as seen in 9th-12th century manuscripts. Unlike later mensural values, such neume terms like climacus emphasized pitch direction over temporal measurement, serving primarily as aids for performance without fixed proportional durations.

Naming Conventions Over Time

In the medieval era, particularly from the late onward, employed Latin-derived terms for note values, such as maxima (a long duration), longa (long), (brief or short), and semibreve (half-brief), which provided precise rhythmic proportions in polyphonic music. These terms originated in scholarly treatises and were internationally used across . By the early , the minim (from Latin minima, meaning smallest) was introduced as a subdivision of the semibreve, reflecting increasing rhythmic complexity in compositions. During the Renaissance, from the late 14th to 16th centuries, nomenclature began shifting toward vernacular adaptations in English and other languages, though Latin roots persisted. The crotchet (from Old French crochet, meaning little hook, due to the note's shape) emerged around 1400 as a half-minim, while the longa and breve gradually aligned with emerging whole-note equivalents like the semibreve in English usage by the 1600s. This transition supported the demands of secular and sacred music, with terms like quaver (from fusa, a 15th-century subdivision) entering English by the 16th century to denote shorter durations. Several terms from this period became obsolete by the as notation standardized further. For instance, fusa (a Latin term denoting a short poured-out duration, equivalent to a or quaver) and semifusa (half-fusa, equivalent to a or semiquaver) were widely used in the for rapid subdivisions but were largely replaced by quaver and semiquaver in conventions, fading from common practice amid evolving techniques. The 19th century saw greater standardization, highlighting Anglo-American divergences influenced by publishing practices. In , historical terms like crotchet (quarter-note equivalent) and minim (half-note) were codified in treatises and engravers' manuals, preserving Renaissance-era . Conversely, American from the 1780s onward adopted a fractional system—whole note, half note, and quarter note—driven by German immigrant influences and the need for intuitive teaching in hymnals and shape-note publications, rejecting perceived inconsistencies in British terms like the "brief" semibreve as the longest value. In contemporary education, dual naming conventions prevail to accommodate global audiences, with British terms such as semiquaver () taught alongside American thirty-second note equivalents in textbooks and software, ensuring accessibility across traditions without favoring one system.

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