Musical notation

Musical notation refers to any standardized system employed for the visual representation of musical compositions. Such notational systems typically delineate the musical elements deemed crucial for performance within a specific musical tradition. The act of deciphering musical notation is commonly termed reading music.

Musical notation is any system used to visually represent music. Systems of notation generally represent the elements of a piece of music that are considered important for its performance in the context of a given musical tradition. The process of interpreting musical notation is often referred to as reading music.

Throughout history, diverse cultures have independently developed distinct notational methodologies. Information concerning ancient musical notation often remains incomplete. Furthermore, contemporaneous musical styles and cultural contexts frequently employed varied notational approaches.

For instance, classical musicians predominantly utilize sheet music, which incorporates staves, time signatures, key signatures, and noteheads for both composition and interpretation. Nevertheless, numerous other notational systems exist. In professional country music, the Nashville Number System serves as the primary method, while tablature is frequently employed by players of string instruments like the guitar.

Musical notation employs both ancient and contemporary symbols inscribed on various media, including stone, clay tablets, papyrus, parchment, or manuscript paper. These symbols have been reproduced using technologies such as the printing press (c. 1400), computer printers (c. 1980), and other modern copying or printing methods.

While numerous ancient cultures utilized symbolic representations for melodies and rhythms, these systems generally lacked comprehensiveness, thereby restricting contemporary understanding of their musical practices. The direct precursor to the modern Western notational system originated in medieval Europe, driven by the Christian Church's efforts to standardize plainsong performance and ensure uniformity of chants across regions. Notation underwent further development during the Renaissance and Baroque periods. During the Classical (1750–1820) and Romantic (1820–1900) eras, notational practices continued to advance in parallel with improvements in musical instrument technology. In 20th and 21st-century contemporary classical music, notation has further evolved, incorporating graphical notation by some modern composers and, since the 1980s, utilizing computer-based scorewriter programs for musical transcription. Musical notation has been adapted for a wide array of genres, including classical, popular, and traditional music.

Historical Development

The Ancient Near East

The earliest known instance of musical notation is present on a cuneiform tablet originating from Nippur, Babylonia (modern-day Iraq), dated to approximately 1400 BCE. This tablet contains fragmented performance instructions, indicating compositions in harmonies of thirds utilizing a diatonic scale.

A tablet from approximately 1250 BCE exhibits a more advanced notational form. While the interpretation of this system remains debated, it distinctly specifies the names of lyre strings, with their tuning detailed in other tablets. Research suggests these notations served dual functions for both liturgical and secular musical works, reflecting music's integral role in religious ceremonies and courtly life. Despite their fragmentary nature, these tablets constitute the oldest notated melodies discovered globally.

Ancient Greece

Ancient Greek musical notation was employed from at least the 6th century BCE until approximately the 4th century CE. Only a limited number of complete compositions, including the Seikilos epitaph, two Invocations to the Muse by Mesomedes, and the Bellermann exercises, along with approximately 40 fragmentary pieces utilizing this notation, have survived.

Notation for vocal music comprised letter symbols representing pitches, positioned above corresponding text syllables. Rhythmic indications were rudimentary, employing symbols for long and short durations. The Seikilos epitaph's dating varies, ranging from the 2nd century BCE to the 2nd century CE.

Three hymns attributed to Mesomedes of Crete are extant in manuscript form. The Delphic Hymns, dated to the 2nd century BCE, also employ this notation, though they are not fully preserved.

Ancient Greek notation seemingly ceased widespread use concurrently with the decline of the Western Roman Empire.

The Byzantine Empire

Byzantine music historically encompassed compositions for court ceremonies; however, its surviving forms are exclusively vocal church music, specifically monodic (monophonic) chant preserved within various Orthodox traditions. This chant is documented using Byzantine round notation, exemplified by Macarie's anastasimatarion, which features Greek text translated into Romanian and transliterated into Cyrillic script.

From the 6th century onward, Greek theoretical categories, including melos, genos, harmonia, and systema, were instrumental in comprehending and transmitting Byzantine music. Notably, the Damascene tradition exerted a significant influence on the pre-Islamic Near East, comparable to that of Persian music. The earliest extant evidence comprises papyrus fragments of Greek tropologia. These fragments illustrate hymn texts accompanied by a modal signature or key, such as "ΠΛ Α" denoting echos plagios protos or "Β" for echos devteros.

In contrast to Western notation, Byzantine neumes, employed from the 10th century, consistently denoted modal steps (e.g., the same modal degree, one degree lower, or two degrees higher) relative to a specific clef or modal key, also known as modal signatures. Initially, the mere presence of this key or the opening phrase of a familiar melody was sufficient to signify a particular melodic model within the echos system. Alongside ekphonetic notation, which was exclusively utilized in lectionaries to mark formulas for scriptural readings, melodic notation emerged no earlier than the 9th or 10th century. This development involved placing a theta (θ), oxeia (/), or diple (//) beneath a specific syllable of the text when an extended melisma was anticipated. This early notational system was termed "theta" or "diple notation."

The developmental trajectory of this notation is discernible in Greek monastic chant books, such as the sticherarion and the heirmologion. Distinct notational systems were employed regionally: Chartres notation was prevalent on Mount Athos and in Constantinople, while Coislin notation was utilized within the patriarchates of Jerusalem and Alexandria. Furthermore, a separate gestic notation was initially applied to the asmatikon (choir book) and kontakarion (book of the soloist or monophonaris) associated with the Constantinopolitan cathedral rite. The earliest surviving manuscripts are "kondakars" in Slavonic translation, which already exhibit a system known as Kondakarian notation. Similar to the Greek alphabet, these notational signs are arranged from left to right, although their direction could be adapted in certain Syriac manuscripts. The rhythmic aspect was entirely governed by cheironomia, which involved the interpretation of "great signs" derived from various chant books. These great signs (μεγάλα σῃμάδια) conveyed established melodic phrases through the gestures of the cathedral rite's choirleaders. Originating as an oral tradition, they subsequently evolved into Kondakarian notation and were ultimately integrated into Byzantine round notation during the 13th century, forming a universal notational system.

Presently, the fundamental distinction between Western and Eastern neumes lies in the nature of their notational symbols: Eastern symbols are "differential" rather than absolute. This means they denote pitch steps (indicating rising, falling, or sustained pitch), requiring musicians to infer specific intervals from the broader musical context and their current pitch. These step symbols, more precisely termed "phonic neumes," bear a resemblance to brush strokes and are colloquially referred to as gántzoi ('hooks') in modern Greek.

Pitch classes or modal keys, typically memorized through modal signatures, are documented in written form exclusively between the neumes, often rendered in red ink within manuscripts. In contemporary notation, these serve merely as optional mnemonic aids, supplemented by modal and tempo indications as required. Within Papadic notation, medial signatures generally signified a temporary modulation to a different echos.

The "great signs" were historically associated with cheironomic signs. Contemporary interpretations posit that these signs represent embellishments and microtonal attractions (pitch alterations smaller than a semitone), both of which are fundamental components of Byzantine chant.

Following the reforms introduced by Chrysanthos of Madytos, Byzantine music employs seven standard note names for solfège, known as parallagē: pá, vú, g^há, d^hi, ké, zō, nē. This system superseded an earlier practice that utilized four enechemata, or intonation formulas, derived from the modal signatures of the four echoi. These included the authentic, or kyrioi, for ascending melodic movement, and the plagal, or plagioi, for descending movement, as documented in the Papadic Octoechos. With the exception of vú and zō, these Byzantine syllables generally align with Western solmization syllables such as re, mi, fa, sol, la, si, do. Byzantine music exclusively utilizes eight natural, non-tempered scales, whose constituent elements are defined by Ēkhoi, or "sounds." Consequently, the precise absolute pitch of each note can exhibit slight variations, contingent upon the specific Ēkhos employed. Byzantine notation remains in active use within numerous Orthodox Churches. Occasionally, cantors may also utilize transcriptions into Western or Kievan staff notation, supplementing these with unnotated embellishments drawn from memory and incorporating nuanced melodic transitions into the natural scales based on practical experience. Nevertheless, even contemporary neume editions, post-Chrysanthos's reform, continue to depend significantly on oral traditions transmitted by established masters.

The Near East in the Thirteenth Century

In 1252, Safi al-Din al-Urmawi innovated a musical notation system that depicted rhythms through geometric shapes. This pioneering work inspired numerous subsequent rhythm scholars to devise graphical geometric notations. For instance, Kjell Gustafson published a comparable geometric system in 1987, which rendered rhythm as a two-dimensional graph. The nascent development of rhythmic notation within Eastern musical traditions concurrently laid foundational concepts that were later adopted and integrated into Western music's notational systems.

Early European Developments

During the early 7th century, the scholar and music theorist Isidore of Seville observed that "unless sounds are held by the memory of man, they perish, because they cannot be written down." Nevertheless, by the mid-9th century, a system of neumatic notation emerged in European monasteries, serving as a mnemonic aid for Gregorian chant. This system employed symbols termed neumes. The earliest extant example of this musical notation is found in Aurelian of Réôme's Musica Disciplina, dating to approximately 850. Prior to this period, isolated fragments of Visigothic neumes have been discovered in the Iberian Peninsula; however, these few surviving examples remain undeciphered. A significant limitation of this early notation was its capacity to indicate only melodic contours, thereby precluding interpretation by individuals unfamiliar with the specific musical piece.

While melodic notation had advanced considerably, a standardized system for rhythmic notation remained absent. A mid-13th-century treatise, De Mensurabili Musica, elucidates six rhythmic modes prevalent during that era, though their precise origins are not fully understood. These modes, exclusively in triple time, constrained chant rhythms to a repertoire of six distinct, repeating patterns. This inherent limitation was identified by the German music theorist Franco of Cologne, who addressed it in his treatise Ars Cantus Mensurabilis (The Art of Measured Chant, or Mensural Notation). Franco proposed that individual notes could convey their specific durations through their distinct shapes. A system akin to contemporary fixed note lengths did not emerge until the 14th century, and the widespread adoption of regular measures (bars) was established by the close of the 17th century.

Guido d'Arezzo, an Italian Benedictine monk active from approximately 991 to after 1033, is recognized as the progenitor of the modern musical staff. He introduced the application of solmization syllables, derived from a hymn dedicated to Saint John the Baptist. This hymn, commencing with Ut queant laxis, was authored by the Lombard historian Paul the Deacon. The initial stanza is presented below:

1. Ut queant laxis
2. resonare fibris
3. Mira gestorum
4. famuli tuorum,
5. Solve polluti
6. labii reatum,
7. Sancte Iohannes.

Guido initially employed the inaugural syllable of each line, Ut, Re, Mi, Fa, Sol, La, and Si, for interpreting musical notation within a hexachordal framework. These syllables functioned not as fixed note names, but rather as contextual indicators applicable to various pitches. During the 17th century, the syllable Ut underwent a transformation in most nations, excluding France, adopting the more vocally accessible, open syllable Do. This alteration is commonly attributed either to the Italian theorist Giovanni Battista Doni or to the Latin term Dominus, signifying Lord.

Early forms of modern European musical notation were pioneered by Christian monks with the objective of standardizing liturgical practices across the global Church. Consequently, a vast repertoire of sacred music has been composed utilizing this system over centuries. This foundational work directly facilitated the genesis and evolution of European classical music, alongside its numerous subsequent derivations. The Baroque aesthetic, integrating music, visual arts, and architecture, received significant patronage from the post-Reformation Catholic Church. These artistic expressions were valued for their capacity to evoke profound emotional responses and foster religious devotion.

Contemporary Staff Notation

Contemporary musical notation systems are universally employed by musicians across diverse genres. The musical staff, also known as a stave in British English, comprises five parallel horizontal lines that establish a framework for pitch representation. Pitches are denoted by oval note-heads positioned directly on the staff lines, within the intervening spaces (i.e. between the lines), or extended above and below the staff through the use of supplementary ledger lines. This notation system is read from left to right, a convention that presents challenges for musical transcription in right-to-left script cultures. A note's pitch is determined by its vertical placement on the staff and can be altered by accidentals. The duration (or note value) is conveyed through the note-head's morphology or by the inclusion of a stem, often supplemented with beams or flags. A stemless hollow oval signifies a whole note (semibreve), while a hollow rectangle or a stemless hollow oval featuring one or two vertical lines on either side represents a double whole note (breve). A stemmed hollow oval denotes a half note (minim). Solid ovals invariably incorporate stems and denote quarter notes (crotchets) or, with the addition of beams or flags, indicate smaller rhythmic subdivisions. Further symbols, including dots and ties, serve to extend a note's duration.

A musical staff typically commences with a clef, which establishes the designated pitch range for that staff. The treble clef, also known as the G clef, originated from the letter G and designates the second line from the bottom of the five-line staff as the G above middle C. Conversely, the bass clef, or F clef, identifies the second line from the top as the F below middle C. Although the treble and bass clefs are predominant, other clefs, specifically those that locate middle C, are employed for certain instruments. Examples include the alto clef (utilized for viola and alto trombone) and the tenor clef (applied to specific repertoire for cello, bassoon, tenor trombone, and double bass). Certain instruments primarily utilize a single clef; for instance, the violin and flute predominantly use the treble clef, while the double bass and tuba employ the bass clef. Instruments like the piano and pipe organ routinely incorporate both treble and bass clefs.

Subsequent to the clef, the key signature comprises a collection of zero to seven sharp (♯) or flat (♭) symbols positioned on the staff. This signature denotes the tonality of a composition by prescribing that specific notes are to be consistently sharpened or flattened throughout the piece, unless explicitly modified by individual accidentals. The placement of a flat (♭) sign preceding a note indicates that its pitch is to be lowered by one semitone. Conversely, a sharp (♯) sign elevates the pitch by one semitone. For instance, a sharp applied to the note D would result in D♯, whereas a flat would render it D♭. While less frequent, double sharps and double flats are also employed. A double sharp preceding a note raises its pitch by two semitones, while a double flat lowers it by two semitones. A natural sign, when placed before a note, restores it to its "natural" form, thereby nullifying any sharp or flat designation previously applied by the key signature or an accidental. Occasionally, a courtesy accidental is included in musical scores, even when not strictly necessary, to serve as a reminder to the performer regarding the intended pitch.

The time signature, which typically follows the key signature, comprises two numerical values. A prevalent example is ^{§56§
_§1011§}, where the upper "4" denotes four beats per measure (also known as a bar), and the lower "4" signifies that each beat corresponds to a quarter note. Measures serve to segment a musical composition into beat groupings, with time signatures defining these specific arrangements. Due to its frequent application, ^{§2223§
_§2728§} is also referred to as "common time" and can be represented by the symbol instead of numerical figures. Additional commonly employed time signatures include ^§4344§
_§48^49§ (indicating three quarter-note beats per bar); ^§6061§
_§65^66§ (representing two quarter-note beats per bar); ^§7778§
_§82
83§ (denoting six eighth-note beats per bar); and ^§9495§
_§99
100§ (signifying twelve eighth-note beats per bar, which are typically grouped into four sets of three eighth notes in practice). ^§111112§
_§116
117§ exemplifies a compound time signature. Numerous other time signatures exist, such as ^§128129§
_§133134§ or ^§145146§
_§150
151§.

A significant proportion of brief classical compositions from the Classical era, alongside traditional and popular music pieces, maintain a single time signature throughout most or all of their duration. Conversely, music originating from the Romantic era and subsequent periods, notably contemporary classical music and rock subgenres like progressive rock and mathcore (a hardcore punk subgenre), frequently employ mixed meter. This involves compositions or songs transitioning between different meters, such as alternating measures of ⁵
_§10^11§ and ^§2223§
_§27
28§.

Instructions for performers, encompassing elements like tempo (e.g., andante) and dynamics (e.g., forte), are positioned either above or below the musical staff. Additionally, terms conveying the musical expression or "feel" of a composition are specified at its commencement and at any subsequent junctures where the mood shifts (e.g., gelassen).

In vocal compositions, lyrics are typically placed adjacent to the corresponding melodic pitches. While conventional musical notation progresses from left to right, for languages written right-to-left, such as Arabic or Hebrew, the overall text flow within the score remains left-to-right, yet individual syllables are rendered right-to-left. Historical efforts also involved creating scores entirely from right-to-left for such languages, exemplified by Abraham Zevi Idelsohn, who published Hebrew songbooks, and the American Quaker educator Rolla Foley, who compiled Arabic song collections.

Brief pauses, often for breath, are denoted by the inclusion of retake marks, typically represented by an apostrophe (').

For ensemble music, a "score" presents the combined musical notation for all performers, with the staves for various instruments and/or voices arranged vertically. Conductors utilize the score to direct orchestras, concert bands, choirs, or other substantial ensembles. Conversely, individual ensemble members perform from "parts," which contain only the music designated for their specific instrument or voice. A complete score can be compiled from a full set of parts, and vice versa. Historically, the manual transcription of parts from a score was an arduous and protracted task. However, with the advent of scorewriter computer software in the 1980s, electronically stored scores can now generate and print individual parts automatically, rapidly, and cost-effectively via a computer printer.

Variations in Staff Notation

• Percussion notation conventions exhibit significant variability due to the diverse array of instruments within this family. These instruments are broadly categorized into two types: pitched, such as the glockenspiel or tubular bells, and non-pitched, exemplified by the bass drum and snare drum. While pitched percussion instruments typically employ standard Western classical notation for pitch and rhythm, the notational practices for non-pitched instruments are considerably less standardized. Generally, unpitched percussion notation utilizes a five-line staff, where distinct lines and spaces correspond to different components of a drum kit. Rhythmic information is conveyed using conventional Western rhythmic notation.
• Figured bass notation emerged within Baroque basso continuo compositions and is also widely employed in accordion scores. This system conventionally notates the bass line, supplemented by numbers and other symbols that instruct the harpsichordist, organist, or lutenist on which chords to improvise. Crucially, it refrains from specifying the precise pitches of the harmony, thereby granting the performer considerable improvisational latitude.
• A lead sheet presents only the melody, lyrics, and harmonic structure, typically utilizing a single staff with chord symbols positioned above and lyrics below. Its purpose is to encapsulate the fundamental components of a popular song without dictating specific arrangements or performance interpretations.
• A chord chart, often simply termed a 'chart,' offers minimal or no melodic or voice-leading data, instead focusing on the fundamental harmonic progression. Certain chord charts may also incorporate rhythmic details, conveyed through slash notation for entire beats and standard rhythmic notation for specific patterns. This format represents the predominant type of written music utilized by professional session musicians in jazz and other popular music genres, primarily serving the rhythm section, which typically comprises piano, guitar, bass, and drums.
• Simplified chord charts for vocal pieces may exclusively feature chord changes, positioned directly above the corresponding lyrics. These charts presuppose familiarity with the melody and function as mnemonic aids during performances or informal group vocalizations. Conversely, some chord charts designed for rhythm section accompanists solely present the chord progression.
• The shape note system is prevalent in certain church hymnals, sheet music, and songbooks, particularly within the Southern United States. Rather than employing the conventional elliptical note head, this system utilizes note heads of diverse geometric shapes to denote the pitch's position within the major scale. Among the most widely recognized tune books employing shape notes is The Sacred Harp.

Notation Systems Across Various Nations

Korea

Jeongganbo constitutes a traditional Korean musical notation system, developed during the reign of Sejong the Great. Notably, it was the inaugural East Asian system capable of representing rhythm, pitch, and temporal duration. Within the diverse spectrum of Korean traditional music, Jeong-gan-bo specifically addresses the genre known as Jeong-ak (정악, 正樂).

In Jeong-gan-bo, pitch is indicated by inscribing the note's name within a designated box, referred to as a jeong-gan. Each jeong-gan typically represents a single beat, though it can be subdivided into two, three, or more segments to accommodate half beats, quarter beats, and finer rhythmic divisions.

Furthermore, numerous markings exist to denote elements such as ornamentation. The majority of these additional symbols were subsequently introduced by Ki-su Kim.

India

The Samaveda text, dating from approximately 1200 BCE to 1000 BCE, is believed to preserve the world's most ancient surviving melodies. Its musical notation is typically inscribed directly above, or occasionally within, the lines of the Samaveda text, appearing in either syllabic or numerical form contingent upon the specific Samavedic Sakha (school). The Indian scholar and music theorist Pingala (circa 200 BCE), in his treatise Chanda Sutra, employed distinct marks to signify long and short syllables, thereby indicating metrical structures in Sanskrit poetry.

An early instance of musical notation is present in a rock inscription from approximately the 7th–8th century CE, located at Kudumiyanmalai, Tamil Nadu. This inscription was initially identified and documented by the archaeologist and epigraphist D. R. Bhandarkar. Executed in the 7th-century Pallava-grantha script, the notation spans 38 horizontal lines on a rectangular rock face, measuring approximately 13 by 14 feet. Each notational line comprises 64 characters, representing musical notes, arranged in groups of four. The fundamental characters for the seven notes—sa, ri, ga, ma, pa, dha, ni—are observed to be suffixed with the vowels a, i, u, and e. For instance, instead of sa, any of sa, si, su, or se may be employed. Similarly, for ri, one might find ra, ri, ru, or re. The notation is segmented into seven sections by horizontal lines, with each section containing 4 to 7 lines of notation and a title indicating its musical 'mode'. These modes likely gained prominence from at least the 6th century CE and were subsequently integrated into the evolving Indian raga system. Nevertheless, scholars have proposed various inconclusive interpretations for several distinctive characteristics observed within this notation.

Within the notational framework of Indian rāga, a solfege-like system known as sargam is utilized. Analogous to Western solfege, this system designates names for the seven fundamental pitches of a major scale: Shadja, Rishabha, Gandhara, Madhyama, Panchama, Dhaivata, and Nishada, commonly abbreviated to Sa, Re, Ga, Ma, Pa, Dha, and Ni. The tonic of any given scale is designated as Sa, while the dominant is Pa. Sa remains constant across all scales, and Pa is fixed at a fifth above it, specifically a Pythagorean fifth rather than an equal-tempered fifth. These two notes are collectively referred to as achala swar, meaning 'fixed notes'.

The remaining five notes—Re, Ga, Ma, Dha, and Ni—can manifest either as a 'regular' (shuddha) pitch, which corresponds to its position in a standard major scale (e.g., shuddha Re, the second scale degree, is a whole-step above Sa), or as an altered pitch, positioned either a half-step above or below the shuddha pitch. Specifically, Re, Ga, Dha, and Ni each possess altered counterparts that are a half-step lower, termed komal or "flat" (thus, komal Re is a half-step above Sa).

Conversely, Ma features an altered counterpart that is a half-step higher, designated as teevra or "sharp" (consequently, teevra Ma represents an augmented fourth above Sa). The notes Re, Ga, Ma, Dha, and Ni are collectively termed vikrut swar, signifying 'movable notes'. In the Indian notational system developed by Ravi Shankar, pitches are represented using Western letters. Capital letters denote the achala swar and the higher variations of all vikrut swar, while lowercase letters are employed for the lower variations of the vikrut swar.

Alternative systems exist for non-twelve-tone equal temperament and non-Western musical traditions, such as the Indian Swaralipi.

Russia

Znamenny Chant represents a vocal tradition within the Russian Orthodox Church, characterized by its distinctive "hook and banner" notation. This chant is a form of unison, melismatic liturgical singing that employs its own specialized notation, referred to as stolp notation. The symbols utilized in stolp notation are known as kryuki (Russian: крюки, 'hooks') or znamyona (Russian: знамёна, 'banners'). Frequently, the names of these signs are used interchangeably with the term stolp notation itself. Znamenny melodies are structured within a system comprising Eight Modes, or intonation structures, known as glasy; these melodies are distinguished by their fluidity and inherent balance. Several categories of Znamenny Chant exist, including the Stolpovoy, Malyj (Little), and Bolshoy (Great) Znamenny Chant. Ruthenian Chant (Prostopinije) is occasionally considered a sub-division of the Znamenny Chant tradition, with Muscovite Chant (Znamenny Chant proper) forming the second branch of this continuous musical lineage.

Znamenny Chants utilize a distinct notational system, diverging from conventional linear notation that employs musical notes. Instead, they are transcribed using specialized symbols known as Znamëna (Russian for 'marks' or 'banners') or Kryuki ('hooks'), the latter term reflecting the hook-like appearance of some characters. Each individual sign comprises various elements, such as a prominent black hook or stroke, alongside smaller black 'points,' 'commas,' and lines positioned adjacent to or intersecting the primary hook. These signs possess varying semantic complexity, with some representing a single note, others indicating two to four notes, and certain elaborate symbols denoting an entire melodic phrase exceeding ten notes, often incorporating intricate rhythmic structures. The stolp notation system originated in Kievan Rus', serving as an East Slavic adaptation and refinement of the Byzantine neumatic musical notation.

A distinguishing characteristic of this notational system is its focus on documenting melodic transitions rather than individual pitches. Furthermore, these signs convey emotional nuances and provide directives on the performance style for specific melodic segments, encompassing aspects such as tempo, dynamic intensity, devotional quality, or meekness. Each sign possesses a unique designation and functions additionally as a spiritual emblem. For instance, the specific sign known as 'little dove' (Russian: голубчик (golubchik)) signifies two ascending sounds while simultaneously symbolizing the Holy Spirit. Over time, the complexity of this system progressively increased. Its inherent ambiguity meant that only the most extensively trained and educated vocalists could perform an unfamiliar melody without prior instruction. Consequently, the signs served primarily as mnemonic aids for melodic reproduction, rather than providing an unequivocal encoding of the music.

China

The earliest documented references to music in China are evidenced by inscriptions on musical instruments discovered within the Tomb of the Marquis Yi of Zeng (d. 433 BCE). These artifacts included sets of 41 chimestones and 65 bells, which featured extensive inscriptions detailing pitches, scales, and transposition methods. Remarkably, the bells continue to produce the precise pitches indicated by their ancient inscriptions. While no explicit notated musical compositions have been recovered, the presence of these inscriptions suggests a sophisticated system capable of supporting musical notation. Historically, two distinct systems of pitch nomenclature were employed: one for relative pitch and another for absolute pitch. A solmization system was utilized for the representation of relative pitches.

The Gongche notation system employed Chinese characters to designate the names of scale degrees.

Japan

Japanese musical traditions are exceptionally diverse, necessitating the use of multiple notational systems. For instance, in Japanese shakuhachi music, glissandos and timbres frequently hold greater importance than precise pitches, while taiko notation primarily emphasizes individual drum strokes.

Ryukyuan sanshin music employs kunkunshi, a notational system utilizing kanji characters, where each character denotes a specific finger position on a particular string.

Indonesia

Within the predominantly oral musical traditions of Indonesia, notation generally occupies a comparatively minor position. Nevertheless, in Java and Bali, several notational systems emerged from the late 19th century onwards, primarily for archival documentation. Currently, the most prevalent systems are cipher notations (broadly termed 'not angka'), where pitches are denoted by numbers 1 through 7. In these systems, the number 1 can correspond to either the highest note of a given octave, as observed in Sundanese gamelan, or the lowest, exemplified by the kepatihan notation used in Javanese gamelan.

Pitches falling outside the central octave are indicated by the addition of one or more dots positioned above or below the corresponding number. Predominantly, these cipher notations serve to transcribe the foundational melody (the balungan) and vocal lines (gerongan), though transcriptions of intricate instrumental variations are occasionally employed for analytical and pedagogical purposes. Drum parts are documented using a symbolic system primarily derived from letters that represent the vocables employed for learning and recalling drumming patterns; these symbols are commonly arranged in a grid format beneath the skeletal melody for either a specific or a generic composition.

The symbols employed for drum notation, along with their corresponding vocables, exhibit considerable variability across different regions and individual performers. Beyond these contemporary systems, two historical notations incorporated staff-like structures: the Solonese script utilized a horizontal staff with squiggles to represent the fluid rhythms of the pesinden, whereas in Yogyakarta, a vertical, ladder-like staff facilitated the notation of the balungan using dots and also incorporated significant drum strokes. In Bali, a limited number of publications feature Gamelan gender wayang compositions notated alphabetically using the ancient Balinese script.

Both Indonesian and international composers and scholars have transcribed the gamelan's slendro and pelog tuning systems onto Western musical staves, sometimes incorporating microtonal symbols and sometimes omitting them. For instance, Dutch composer Ton de Leeuw devised a three-line staff specifically for his work Gending. Nevertheless, these transcription methods have not achieved widespread adoption.

During the latter half of the twentieth century, Indonesian musicians and scholars adapted cipher notation for other oral traditions, and a diatonic scale cipher notation is now commonly employed for Western-influenced genres, such as church hymns and popular songs. Distinct from the cipher notation used for gamelan music, which operates on a "fixed-Do" system (where the numeral 1 consistently represents a specific pitch, accounting for the inherent variability in gamelan tuning), Indonesian diatonic cipher notation utilizes a "movable-Do" system. Consequently, scores must explicitly indicate the pitch corresponding to the numeral 1 (e.g., "1=C").

Judea

Ancient Jewish texts feature a system of marks that denote musical cantillation. Referred to as Ta'amim in Hebrew and Trope in Yiddish, these marks are documented from the 6th and 7th centuries, having been transmitted as a traditional practice for Jewish prayers and sacred texts. Conventionally inscribed above and around the corresponding Hebrew texts, Trope marks signify a brief musical motif. Variations in the associated melodies exist across the Jewish diaspora. Three primary systems of Hebrew cantillation are recognized: the Babylonian, Palestinian, and Tiberian Systems.

Other Systems and Practices

Cipher Notation

Cipher notation systems, which assign Arabic numerals to major scale degrees, have been employed since at least the 16th-century Iberian organ tablatures and encompass diverse adaptations such as Siffernotskrift. Currently, the most prevalent system is the Chinese Jianpu. Furthermore, numerals can be allocated to various scale systems, exemplified by the Javanese kepatihan notation previously discussed.

Solfège

Solfège is a pedagogical system that assigns specific syllables to the degrees of a musical scale. The contemporary sequence of these syllables is: Do, Re, Mi, Fa, Sol, La, Ti, followed by Do' for the octave. A classical variant employs: Do, Re, Mi, Fa, Sol, La, Si, and Do'. The initial Western system for functionally naming musical notes was established by Guido of Arezzo (c. 991 – after 1033), who utilized the opening syllables of the first six lines of the Latin hymn Ut queant laxis. This original sequence comprised Ut, Re, Mi, Fa, Sol, and La, with each verse commencing on a successively higher scale degree. Subsequently, "Ut" was replaced by "Do". In Indian music, the corresponding syllables are: Sa, Re, Ga, Ma, Pa, Dha, and Ni.

Tonic sol-fa is a notational system that employs the initial letters of solfège syllables.

Letter Notation

The notes of the 12-tone scale are represented by their letter names, A–G, potentially augmented by a trailing accidental, such as A♯ or B♭.

ABC

ABC notation constitutes a compact format employing plain text characters, rendering it legible to both computational systems and human readers. Currently, over 100,000 musical pieces have been transcribed into this format.

Tablature

Tablature originated in the Middle Ages for organ compositions and subsequently gained prominence in the Renaissance for lute repertoire. Typically, lute tablatures employ a staff where lines denote instrument strings rather than pitch values. Fret positions for fingering are indicated on each line using letters or numbers. Rhythmic information is conveyed separately, often through variations of standard note values that specify the duration of the most rapid musical passages. Notably, tablature integrates both the physical and technical aspects of performance (represented by lines and symbols indicating specific actions) with the temporal progression of the music itself (horizontal reading of tablature lines reflecting the musical unfolding). While standard notation superseded tablature for lute and guitar music in later eras, its accessibility for transcription and internet sharing in ASCII format led to a resurgence of interest in the late 20th century for popular guitar and other fretted instruments.

Piano-Roll-Based Notational Systems

Certain chromatic notational systems leverage the distinct arrangement of black and white keys on a standard piano keyboard. The associated "staff" in these systems is commonly termed a "piano roll," conceptualized as an extension of the piano's key layout.

Klavar Notational System

Klavarskribo, often abbreviated as klavar, is a musical notation system introduced in 1931 by the Dutch inventor Cornelis Pot. Its name, derived from Esperanto, translates to "keyboard writing." This system diverges from conventional music notation in several aspects, primarily aiming for enhanced readability. A significant proportion of Klavar users originate from the Netherlands.

Chromatic Staff Notational Systems

Throughout the last three centuries, numerous alternative music notation systems have been advanced as improvements to traditional Western music notation. A common objective among these systems is to enhance traditional notation through the implementation of a "chromatic staff," where each of the twelve distinct pitch classes occupies a unique position. An illustrative example is Jacques-Daniel Rochat's Dodeka music notation. Such systems eliminate the necessity for standard key signatures, accidentals, or clef signs. Furthermore, they depict interval relationships with greater consistency and precision than traditional notation; for instance, major thirds are visually represented as wider than minor thirds. Comprehensive descriptions and illustrations of many of these systems are compiled in Gardner Read's Source Book of Proposed Music Notation Reforms.

Graphic Notational Systems

"Graphic notation" designates the modern application of unconventional symbols and textual elements to communicate performance instructions for musical compositions. Pioneering composers who developed forms of graphic notation from the mid-twentieth century include Johanna Beyer, Christian Wolff, Carmen Barradas, Earle Brown, Yoko Ono, Anthony Braxton, John Cage, Morton Feldman, Cathy Berberian, Graciela Castillo, Krzysztof Penderecki, Cornelius Cardew, Pauline Oliveros, and Roger Reynolds. The publication Notations, edited by John Cage and Alison Knowles and released by Something Else Press in 1969, presents a comprehensive collection of such notational examples.

Simplified Music Notational Systems

Simplified music notation represents an alternative notational format developed to facilitate sight-reading. While rooted in classical staff notation, it integrates sharps and flats directly into the morphology of note heads. Pitches like double sharps and double flats are rendered at their actual sounding pitch, but are preceded by "history signs" that indicate their transposition.

Modified Stave Notational System

Modified Stave Notation (MSN) offers an alternative method for transcribing music, specifically designed for individuals who experience difficulty reading conventional musical notation, even when enlarged.

Parsons Code

Parsons code functions as a system for encoding musical data, thereby enabling efficient search capabilities.

Braille Music Notational System

Braille music constitutes a comprehensive, highly developed, and globally recognized musical notation system, featuring symbols and notational conventions entirely distinct from those of print music notation. Its inherent linearity, akin to a written language, contrasts with the two-dimensional structure of standard printed music. To some extent, Braille music exhibits similarities to musical markup languages, including MusicXML or NIFF.

Integer Notational System

The integer notation, also known as the integer model of pitch, employs numbers from 0 to 11 to represent all pitch classes and the intervals between them.

Rap Notation

The conventional method for rap notation is the "flow diagram," in which lyricists align their verses beneath corresponding "beat numbers." Hip-hop academics also utilize these identical flow diagrams; for instance, the publications How to Rap and How to Rap 2 extensively employ these diagrams to elucidate various rap techniques, including triplets, flams, rests, rhyme schemes, rhyme runs, and pattern breaks. Analogous systems are adopted by musicologists such as Adam Krims in his work Rap Music and the Poetics of Identity and Kyle Adams in his research on rap flow. Given that rap typically centers on a prominent 4/4 beat, with specific syllables synchronized to it, all these notational frameworks share a consistent structure: each features four beat numbers positioned at the top of the diagram, facilitating the inline placement of syllables with the beat.

Tin Whistle Fingering Charts

This system is applied to six-hole woodwind instruments, primarily for Irish folk music. Tin whistle tablature proves especially beneficial for individuals unacquainted with standard sheet music notation.

Computer-Based Music Notation

Unicode

The Unicode block designated for Musical Symbols provides an extensive encoding system for formal musical notation.

The Miscellaneous Symbols block includes several frequently encountered symbols:

• U+2669 ♩ QUARTER NOTE
• U+266A ♪ EIGHTH NOTE
• U+266B ♫ BEAMED EIGHTH NOTES
• U+266C ♬ BEAMED SIXTEENTH NOTES
• U+266D ♭ MUSIC FLAT SIGN
• U+266E ♮ MUSIC NATURAL SIGN
• U+266F ♯ MUSIC SHARP SIGN

The Miscellaneous Symbols and Pictographs block contains three emoji that potentially depict musical notes:

• U+1F3A7 🎧 HEADPHONE
• U+1F3B5 🎵 MUSICAL NOTE
• U+1F3B6 🎶 MULTIPLE MUSICAL NOTES

Software

Numerous computer programs, known as "scorewriters" or "music notation software," have been developed for generating musical notation. Additionally, music can be preserved in diverse digital file formats for applications beyond graphical notation rendering.

Perspectives on Musical Notation in Composition and Performance

Philip Tagg and Richard Middleton contend that musicology, and to some extent European-influenced musical practices, exhibit "notational centricity," a methodological bias shaped by the inherent characteristics of notation. Numerous composers from the 20th and 21st centuries have addressed this issue by either modifying conventional Western musical notation or employing graphic notation. Notable figures include George Crumb, Luciano Berio, Krzysztof Penderecki, Earl Brown, John Cage, and Witold Lutoslawski, among others.

List of musical symbols in modern notation.

• List of musical symbols of modern notation.
• Hebrew Cantillation
• Helmholtz Pitch Notation
• Colored Music Notation
• Eye Movement in Music Reading
• Guido of Arezzo, inventor of modern musical notation.
• History of Music Publishing
• List of Scorewriters
• Mensural Notation
• Modal Notation
• Music Engraving, the process of drawing musical notation for mechanical reproduction.
• Music OCR, the application of optical character recognition for interpreting sheet music.
• Neume (Plainchant Notation)
• Pitch Class
• Rastrum, a five-pointed writing implement utilized to draw parallel staff lines on blank sheet music.
• Scorewriter
• Semasiography
• Sight-Reading
• Sheet Music
• Time Unit Box System, a notation system beneficial for polyrhythms.
• Tongan Music Notation, a subset of standard music notation.
• Tonnetz
• Znamenny Chant

References

Sources

• Byzantine Music Notation. This resource includes a guide to Byzantine Music Notation (neumes).
• CCARH—Center for Computer Assisted Research in the Humanities. Provides information on a Stanford University course concerning music representation, with its links page showcasing examples of various notations.
• Music Markup Language. An XML-based language designed for music notation.
• "Musical Notation" . In Encyclopædia Britannica. Vol. 19 (11th ed.). 1911. pp. 96–87.
• A comprehensive timeline detailing the evolution of music notation. This resource was initially published on February 4, 2017, and last updated on July 30, 2025, encompassing 1507 entries.