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Diatonic and chromatic



 
 
Diatonic and chromatic are terms in music theory
Music theory

Music theory is the field of study that deals with how music works. It examines the language and notation of music. It identifies patterns that govern composer techniques....
 that are most often used to characterise scales, and are also applied to intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
, chords
Chord (music)

In music and music theory a chord is a set of two or more different note that sound simultaneously. Most often, in European-influenced music, chords are tertian Sonority that can be constructed as stacks of thirds relative to some underlying musical scale....
, notes
NOTES

Natural orifice transluminal endoscopic surgery is an experimental surgery technique whereby "scarless" abdomen operations can be performed with an endoscope passed through a natural orifice then through an internal incision in the stomach, vagina, urinary bladder or Colon , thus avoiding any external incisions or scars....
, musical styles, and kinds of harmony
Harmony

In Western music, harmony is the use of different pitches simultaneously, and chord s, actual or implied, in music. The word is related to the word "harmonic" which implies related wavelengths of waves....
. They are very often used as a pair, especially when applied to contrasting features of the common practice
Common practice period

The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
 music of the period 1600–1900.

These terms may mean different things in different contexts. Very often, diatonic refers to musical elements derived from the modes and transpositions of the "white note scale" C–D–E–F–G–A–B (see details below).






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Diatonic and chromatic are terms in music theory
Music theory

Music theory is the field of study that deals with how music works. It examines the language and notation of music. It identifies patterns that govern composer techniques....
 that are most often used to characterise scales, and are also applied to intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
, chords
Chord (music)

In music and music theory a chord is a set of two or more different note that sound simultaneously. Most often, in European-influenced music, chords are tertian Sonority that can be constructed as stacks of thirds relative to some underlying musical scale....
, notes
NOTES

Natural orifice transluminal endoscopic surgery is an experimental surgery technique whereby "scarless" abdomen operations can be performed with an endoscope passed through a natural orifice then through an internal incision in the stomach, vagina, urinary bladder or Colon , thus avoiding any external incisions or scars....
, musical styles, and kinds of harmony
Harmony

In Western music, harmony is the use of different pitches simultaneously, and chord s, actual or implied, in music. The word is related to the word "harmonic" which implies related wavelengths of waves....
. They are very often used as a pair, especially when applied to contrasting features of the common practice
Common practice period

The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
 music of the period 1600–1900.

These terms may mean different things in different contexts. Very often, diatonic refers to musical elements derived from the modes and transpositions of the "white note scale" C–D–E–F–G–A–B (see details below). In some usages it includes all forms of heptatonic scale that are in common use in Western music (the major, and all forms of the minor). Chromatic refers to structures derived from the chromatic scale
Chromatic scale

The chromatic scale is a musical scale with twelve Pitch es, each a semitone or half step apart. "A chromatic scale is a diatonic scale consisting entirely of half-step interval ," having, "no tonic ," due to the symmetry or equal spacing of its tones....
, which consists of all semitones.

History


Greek genera


In ancient Greece there were three standard tunings (known by the Latin word genus, plural genera) of the four-string lyre
Lyre

The lyre is a string instrument well known for its use in classical antiquity and later. The recitations of the Ancient Greece were accompanied by lyre playing....
 – an instrument that was accepted as a model for other instrumental and vocal music. These three tunings were called diatonic, chromatic, and enharmonic, and the sequences of four notes that they produced were called tetrachords ("four strings"). A diatonic tetrachord comprised, in descending order, two whole tones and a semitone, such as A G F E (roughly). In the chromatic tetrachord the second string of the lyre was lowered from G to G, so that the two lower intervals in the tetrachord were semitones, making the pitches A G F E. In the enharmonic tetrachord the tuning had two quarter tone
Quarter tone

A quarter tone is an interval about half as wide as a semitone, which is half a whole tone.Many composers are known for having written music including quarter tones or the quarter tone scale, first proposed by 19th-century music theorist Mikha'il Mishaqah , including: Pierre Boulez, Juli?n Carrillo, Mildred Couper, Alberto Ginas...
 intervals at the bottom: A F F E (where F is F lowered by a quarter tone). For all three tetrachords, only the middle two strings varied in their pitch.

Medieval coloration

The term cromatico (Italian) was occasionally used in the Medieval and Renaissance periods to refer to the coloration (Latin coloratio) of certain notes. The details vary widely by period and place, but generally the addition of a colour (often red) to an empty or filled head of a note, or the "colouring in" of an otherwise empty head of a note, shortens the duration of the note. In works of the Ars Nova
Ars nova

Ars nova was a stylistic period in music of the Late Middle Ages, centered in France, which encompassed the period roughly from the preparation of the Roman de Fauvel until the death of Guillaume de Machaut ....
 from the 14th century, this was used to indicate a temporary change in metre from triple to duple, or vice versa. This usage became less common in the 15th century as open white noteheads became the standard notational form for minims (half-notes) and longer notes (see white mensural notation
Mensural notation

Mensural notation is the musical notation system which was used in European music from the later part of the 13th century until about 1600."Mensural" refers to the ability of this system to notate complex rhythms with great exactness and flexibility....
). Similarly, in the 16th century, notation in a 4/4 time signature was referred to as "chromatic" notation because of its abundance of "coloured in" black notes, that is semiminims (crotchets or quarter notes) and shorter notes, as opposed to the open white notes of the more common 2/2 metre. These uses for the word have no relationship to the modern meaning of chromatic, but the sense survives in the current term coloratura
Coloratura

Coloratura has several meanings. The word derives from the Italian colorare or colorazione .The term normally refers to a soprano who has the vocal ability to produce notes above C#6 and whose tessitura is A4-A5 or higher ....
.

Renaissance chromaticism

The term chromatic began to approach its modern usage in the 16th century. For instance Orlando Lasso
Orlande de Lassus

Orlande de Lassus was a France-Flanders composer of late Renaissance music. Along with Giovanni Pierluigi da Palestrina , he is today considered to be the chief representative of the mature polyphony style of the Franco-Flemish School, and he was the most famous and influential musician in Europe at the end of the 16th century....
's Prophetiae Sibyllarum opens with a prologue proclaiming, "these chromatic songs, heard in modulation, are those in which the mysteries of the Sibyls are sung, intrepidly," which here takes its modern meaning referring to the frequent change of key and use of chromatic intervals in the work. (The Prophetiae belonged to an experimental musical movement of the time, called musica reservata
Musica reservata

In music history, musica reservata is either a style or a performance practice in a cappella vocal music of the latter half of the 16th century, mainly in Italy and southern Germany, involving refinement, exclusivity, and intense emotional expression of sung text....
). This usage comes from a renewed interest in the Greek genera, especially its chromatic tetrachord, notably by the influential theorist Nicola Vicentino
Nicola Vicentino

Nicola Vicentino was an Italy music theory and composer of the Renaissance music. He was one of the most visionary musicians of the age, inventing, among other things, a microtonal keyboard, and devising a practical system of chromaticism writing two hundred years before the rise of equal temperament....
 in his treatise on ancient and modern practice, 1555.

Diatonic scales


Background

Medieval theorists defined scales in terms of the Greek tetrachords. The gamut was the series of pitches from which all the Medieval "scales" (or modes, strictly) are notionally derived, and it may be thought of as constructed in a certain way from diatonic tetrachords.

The intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 from one note to the next in this Medieval gamut are all tones or semitones, recurring in a certain pattern with five tones (T) and two semitones (S) in any given octave
Octave

In music, an octave The octave is occasionally referred to as a diapason.The octave above an indicated note is sometimes abbreviated 8va, and the octave below 8vb....
. The semitones are separated as much as they can be, between alternating groups of three tones and two tones. Here are the intervals for a random string of ascending notes (starting with F, in fact) from the gamut:
... –T–T–T–S–T–T–S–T–T–T–S–T– ...
And here are the intervals for one random ascending octave (the seven intervals separating the eight notes A–B–C–D–E–F–G–A, in fact) from the gamut:
T–S–T–T–S–T–T [five tones and two semitones]


In its most strict definition, therefore, a diatonic scale is one that may be derived from the pitches represented in successive white keys of the piano (or a transposition
Transposition (music)

In music transposition refers to the process of moving a collection of notes up or down in pitch by a constant interval . For example, one might transpose an entire piece of music into another Key ....
 thereof): the modern equivalent of the gamut. This would include the major scale
Major scale

In music theory, the major scale or Ionian mode scale is one of the diatonic scale Musical scales. It is made up of seven distinct notes, plus an eighth which duplicates the first an octave higher....
, the natural minor scale
Minor scale

A minor scale in music theory is a diatonic scale with a third scale degree at an Interval of a minor third above the Tonic . While this definition encompasses Musical mode with the minor third, such as Dorian mode, the term may more usually refer only to the natural minor, harmonic minor, and melodic minor scales, descri...
 (same as the descending form of the melodic minor), and the old ecclesiastical church modes.

Modern meanings of "diatonic scale"

Given the background presented above, we now move on to address the music of the Common Practice Period
Common practice period

The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
, and later music that shares its core features (see note 1, above).

All writers accept the major scale
Major scale

In music theory, the major scale or Ionian mode scale is one of the diatonic scale Musical scales. It is made up of seven distinct notes, plus an eighth which duplicates the first an octave higher....
 as diatonic. Most, but not all, accept the natural minor (and the descending melodic minor) as diatonic. As for other forms of the minor:

  • "Exclusive" usage
Some writers consistently classify the other variants of the minor scale – the melodic minor (ascending form) and the harmonic minor – as non-diatonic, since they are not transpositions of the white-note pitches of the piano. Among such theorists there is no agreed general term that encompasses the major and all forms of the minor scale.
  • "Inclusive" usage
Some writers consistently include the melodic and harmonic minor scales as diatonic also. For this group, every scale standardly used in common practice music and much similar later music is either diatonic (the major, and all forms of the minor) or chromatic.
  • "Mixed" usage
Still other writers mix these two meanings of diatonic (and conversely for chromatic), and this may lead to confusions and misconceptions. Sometimes, though not always, the context makes it clear which meaning is intended.


For print sources employing each of these usages (for scales, and derived usages for intervals, etc.), see the list of sources, below.

There are a few other meanings of the term diatonic scale, some of which take the extension to harmonic and melodic minor even further, to be even more inclusive.

In general, diatonic is most often used inclusively with respect to music that restricts itself to standard uses of traditional major and minor scales. When discussing music that uses a larger variety of scales and modes (including much jazz, rock, and some tonal 20th-century concert music), writers often adopt the exclusive use to prevent confusion.

Chromatic scale


A chromatic scale consists of an ascending or descending sequence of pitches proceeding always by semitones. Such a sequence of pitches would, for example, be produced by playing black and white keys of a piano in order, without leaving any out. The structure of a chromatic scale is therefore uniform throughout, unlike major and minor scales which have tones and semitones in particular arrangements (and an augmented second, in the harmonic minor).

Diatonic and chromatic intervals


The diatonic intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 are usually understood as those between some pair of notes both drawn from the same diatonic scale. Intervals that cannot be so derived are, by this way of thinking, called chromatic intervals. Because diatonic scale is itself ambiguous (see above), this way of distinguishing intervals is also ambiguous. For example, the interval B–E (a diminished fourth
Diminished fourth

In music, a diminished fourth is an Interval that spans four diatonic scale degrees, and is narrower than a perfect fourth by a chromatic semitone....
, occurring in C harmonic minor) is considered diatonic if the harmonic minor scale is considered diatonic; but it is considered chromatic if the harmonic minor scale is not considered diatonic.

Additionally, the label chromatic or diatonic for an interval may be sensitive to context. For instance, in a passage in C major, the interval C–E could be considered a chromatic interval because it does not appear in the prevailing diatonic key; conversely in C minor it would be diatonic. This usage is still subject to the categorization of scales as above, e.g. in the B–E example above, classification would still depend on whether the harmonic minor scale is considered diatonic.

Intervals in different systems of tuning

In equal temperament
Equal temperament

Equal temperament is a musical temperament, or a system of Musical tuning in which every pair of adjacent notes has an identical frequency ratios....
, there is no difference in tuning (and therefore in sound) between intervals that are enharmonic
Enharmonic

In modern music and musical notation, an enharmonic equivalent is a note , interval , or key signature which is equivalence to some other note, interval, or key signature, but "spelled", or named, differently....
ally equivalent. For example, the notes F and E represent exactly the same pitch, so the diatonic interval C–F (a perfect fourth) sounds exactly the same as its enharmonic equivalent – the chromatic interval C–E (an augmented third). In systems other than equal temperament
Equal temperament

Equal temperament is a musical temperament, or a system of Musical tuning in which every pair of adjacent notes has an identical frequency ratios....
, however, there is often a difference in tuning between intervals that are enharmonically equivalent. In tuning systems that are based on a cycle of fifths, such as Pythagorean tuning
Pythagorean tuning

Pythagorean tuning is a system of musical tuning in which the frequency relationships of all interval are based on the ratio sesquialterum. Its name comes from medieval texts which attribute its discovery to Pythagoras, but its use has been documented as long ago as 3500 B.C....
 and meantone temperament
Meantone temperament

Meantone temperament is a musical temperament, which is a system of musical tuning. In general, a meantone is constructed the same way as Pythagorean tuning, as a chain of perfect fifths, but in a meantone, each fifth is narrowed by the same amount in order to make the other intervals, like the major third, closer to their ideal just intonat...
, these alternatives are labelled as diatonic or chromatic intervals.

Under these systems the cycle of fifths is not circular in the sense that a pitch at one end of the cycle (e.g. G) is not tuned the same as the enharmonic
Enharmonic

In modern music and musical notation, an enharmonic equivalent is a note , interval , or key signature which is equivalence to some other note, interval, or key signature, but "spelled", or named, differently....
 equivalent at its other end (A); they are different by an amount known as a comma
Comma (music)

In music theory, a comma is a small or very small interval between two enharmonic notes tuned in different ways. For example, an A flat tuned as a major third below C in just intonation, and a G sharp tuned as a major third above E, will not be exactly the same note....
. This broken cycle causes intervals that cross the break to be written as augmented or diminished chromatic intervals. In meantone temperament, for instance, chromatic semitone
Semitone

A semitone, also called a half step or a half tone,Aaron Copland, Leonard Bernstein, and others use "half tone".One source says that step is "chiefly US", and that half-tone is "chiefly N....
s (C–C) are smaller than diatonic semitones (C–D), and with consonant
Consonant

In articulatory phonetics, a consonant is a speech sound that is articulated with complete or partial closure of the upper vocal tract, the upper vocal tract being defined as that part of the vocal tract that lies above the larynx....
 intervals such as the major third the chromatic equivalent is generally less consonant.

The exception to this classification is the tritone
Tritone

The tritone is a musical interval that spans three major second. The tritone is the same as an augmented fourth, which in equal temperament is enharmonic to a diminished fifth....
, of which both enharmonic forms (e.g. C–F and C–G) are equally distant along the cycle of fifths, making them inversions
Inversion (music)

In music theory, the word inversion has several meanings. There are inverted chords, inverted melodies, inverted intervals, and inverted voices....
 of each other at the octave. Because of this the ambiguity cannot be resolved where octave equivalence is assumed, and the label diatonic or chromatic for either form of tritone is not useful in the context of tuning (the choice is arbitrary, and therefore unspecific).

If the tritone is assumed diatonic, the classification of written intervals by this definition is not significantly different from the "drawn from the same diatonic scale" definition given above as long as the harmonic minor and ascending melodic minor scale variants are not included. Aside from tritones, all intervals that are either augmented or diminished are chromatic, and the rest are diatonic.

Diatonic and chromatic chords


Diatonic chords
Chord (music)

In music and music theory a chord is a set of two or more different note that sound simultaneously. Most often, in European-influenced music, chords are tertian Sonority that can be constructed as stacks of thirds relative to some underlying musical scale....
 are generally understood as those that are built using only notes from the same diatonic scale; all other chords are considered chromatic. However, given the ambiguity of diatonic scale, this definition, too, is ambiguous. And for some theorists, chords are only ever diatonic in a relative sense: the augmented triad
Augmented triad

In music, an augmented triad is a triad consisting of two major thirds....
 E–G–B is diatonic "to" or "in" C minor. On this understanding, the diminished seventh chord
Diminished seventh chord

A diminished seventh chord is a four note chord comprising a diminished chord plus the interval of a diminished seventh above the root . Thus it is , or enharmonically , of any major scale; for example, C diminished-seventh would be , or enharmonically ....
 built on the leading note is accepted as diatonic in minor keys. If the strictest understanding of the term diatonic scale were adhered to, even a major triad on the dominant scale degree in C minor (G–B–D) would be chromatic or altered
Alteration

In music alteration, an example of chromaticism, is the use of a neighboring pitch in the chromatic scale in place of its diatonic neighbor such as in an altered chord....
 in C minor. Some writers use the phrase "diatonic to" as a synonym for "belonging to".

Diatonic and chromatic harmony


The words diatonic and chromatic are also applied inconsistently to harmony
Harmony

In Western music, harmony is the use of different pitches simultaneously, and chord s, actual or implied, in music. The word is related to the word "harmonic" which implies related wavelengths of waves....
:

  • Often musicians call diatonic harmony any kind of harmony inside the major–minor
    Major and minor

    In music, the adjectives major and minor can describe a scale , key , chord , or interval . For intervals, the terms refer to a difference in their relative width, major referring to notes somewhat further apart; the other terms are classifications based on the use of certain intervals, especially the major or minor third....
     system of common practice
    Common practice period

    The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
    . When diatonic harmony is understood in this sense, the supposed term chromatic harmony means little, because chromatic chords are also used in that same system.
  • At other times, especially in textbooks and syllabuses for musical composition or music theory, diatonic harmony means harmony that uses only "diatonic chords". According to this usage, chromatic harmony is then harmony that extends the available resources to include chromatic chords: the augmented sixth
    Augmented sixth

    An augmented sixth is one of three musical intervals that span six diatonic scale degrees. The prefix 'augmented' identifies it as being the largest of the three intervals; the others being the major sixth and minor sixth, which are one and two semitones smaller, respectively....
     chords, the Neapolitan sixth, chromatic seventh chords, etc.
  • Since the word harmony can be used of single classes of chords (dominant harmony, E minor harmony, for example), diatonic harmony and chromatic harmony can be used in this distinct way also.
However,
  • Chromatic harmony may be defined as "the use of two successive chords which belong to two different keys and therefore contain tones represented by the same note symbols but with different accidentals". Four basic techniques produce chromatic harmony under this definition: modal mixture, secondary dominants, melodic tension, and chromatic mediants.


Miscellaneous usages


Diatonic and chromatic notes

In modern usage, the meanings of the terms diatonic note and chromatic note vary according to the meaning of the term diatonic scale. Generally – not universally – a note is understood as diatonic in a context if it belongs to the diatonic scale that is used in that context; otherwise it is chromatic.

Chromatic inflection

The term chromatic inflection (alternatively spelt inflexion) is used in two senses:
  • Alteration of a note that makes it (or the harmony that includes it) chromatic rather than diatonic.
  • Melodic movement between a diatonic note and a chromatically altered variant (from C to C in G major, or vice versa, for example).


Chromatic progression

The term chromatic progression is used in three senses:
  • Movement between harmonies that are not elements of any common diatonic system (that is, not of the same diatonic scale: movement from D–F–A to D–F–A, for example).
  • The same as the second sense of chromatic inflection, above.
  • In musica ficta
    Musica ficta

    In European music prior to about 1600, musica ficta referred to chromaticism altered pitches, not notated in the music, which were to be supplied by performers....
     and similar contexts, a melodic fragment that includes a chromatic semitone, and therefore includes a chromatic inflection in the second sense, above.


Diatonic progression

The term diatonic progression is used in two senses:
  • Movement between harmonies that both belong to at least one shared diatonic system (from F–A–C to G–B–E, for example, since both occur in C major).
  • In musica ficta
    Musica ficta

    In European music prior to about 1600, musica ficta referred to chromaticism altered pitches, not notated in the music, which were to be supplied by performers....
     and similar contexts, a melodic fragment that does not include a chromatic semitone, even if two semitones occur contiguously, as in F–G–A.


Diatonic and chromatic modulation

  • Diatonic modulation is modulation
    Modulation (music)

    In music, modulation is most commonly the act or process of changing from one key to another. This may or may not be accompanied by a change in key signature....
     via a diatonic progression.
  • Chromatic modulation is modulation via a chromatic progression, in the first sense given above.


Diatonic pentatonic scale

  • One very common kind of pentatonic scale
    Pentatonic scale

    A pentatonic scale is a musical scale with five pitch per octave in contrast to an heptatonic scale scale such as the major scale. Pentatonic scales are very common and are found all over the world, including but not limited to Celtic music, Hungarian folk music, West African music, African-American spiritual , Jazz, American blues music a...
     that draws its notes from the diatonic scale (in the exclusive sense, above) is sometimes called the diatonic pentatonic scale: C–D–E–G–A[–C], or some other modal
    Musical mode

    Mode is a term from Western music theory having three senses: the rhythmic relationship between long and short values in the late medieval period; in early medieval theory, Interval ; and, most commonly, a concept involving Musical scale and melody type ....
     arrangement of those notes.
  • Other pentatonic scales (such as the pelog
    Pelog

    Pelog is one of the two essential scales of gamelan music native to Bali and Java , in Indonesia. The other scale commonly used is called slendro....
     scales) may also be construed as reduced forms of a diatonic scale, but are not labelled diatonic.


Modern extensions of the diatonic idea


Traditionally, and in all uses discussed above, the term diatonic has been confined to the domain of pitch, and in a fairly restricted way. The common idea in those uses is that a specific selection is made from an underlying superset
SuperSet

SuperSet Software was a group founded by friends and former Eyring Research Institute co-workers Drew Major, Dale Neibaur, Kyle Powell and later joined by Mark Hurst....
 of pitches. A particular subset of seven pitch classes is selected from a superset of twelve semitonally incrementing pitch classes, to yield a particular heptatonic scale. Exactly which heptatonic scales (and even which modes of those scales) should count as diatonic is unsettled, as shown above. But the broad selection principle itself is not disputed, at least as a theoretical convenience.

Extended pitch selections


The selection of pitch classes can be generalised to encompass formation of non-traditional scales from the underlying twelve chromatic pitch classes. Or a larger set of underlying pitch classes may be used instead. For example, the octave may be divided into varying numbers of equally spaced pitch classes. The usual number is twelve, giving the conventional set used in Western music. But Paul Zweifel uses a group-theoretic approach to analyse different sets, concluding especially that a set of twenty divisions of the octave is another viable option for retaining certain properties associated with the conventional "diatonic" selections from twelve pitch classes.

Diatonic rhythms


It is possible to generalise this selection principle even beyond the domain of pitch. The diatonic idea has been applied in analysis of some traditional African rhythms, for example. Some selection or other is made from an underlying superset of metrical beats, to produce a "diatonic" rhythmic "scale" embedded in an underlying metrical "matrix". Some of these selections are diatonic in a way similar to the traditional diatonic selections of pitch classes (that is, a selection of seven beats from a matrix of twelve beats – perhaps even in groupings that match the tone-and-semitone groupings of diatonic scales). But the principle may also be applied with even more generality (including even any selection from a matrix of beats of any size).

Published sources for "diatonic", in Common Practice music


Diatonic excludes the harmonic and melodic minor scales

(Web)
(Print)


  • Grove Music Online (see p. 295 in the print version)
    Diatonic (from Gk. dia tonos: 'proceeding by whole tones').
    Based on or derivable from an octave of seven notes in a particular configuration, as opposed to chromatic and other forms of scale. A seven-note scale is said to be diatonic when its octave span is filled by five tones and two semitones, with the semitones maximally separated, for example the major scale (T–T–S–T–T–T–S). The natural minor scale and the church modes (see Mode) are also diatonic.
    [But see the same source, Grove Music Online, below also.]
  • The Harvard Dictionary of Music 4th edition, p. 239
    Diatonic: (1) A scale with seven pitches (heptatonic) that are adjacent to one another on the circle of fifths; thus, one in which each letter name represents only a single pitch and which is made up of whole tones and semitones arranged in the pattern embodied in the white keys of the piano keyboard; hence, any major or pure minor scale and any church mode as distinct from the chromatic scale.
  • Elements of Musical Composition, Crotch, William
    William Crotch

    William Crotch was an England composer, organ and artist.Born in Norwich to a master carpenter he showed early musical talent . The three and a half year old Master William Crotch was taken to London by his ambitious mother, where he not only played on the organ of the Chapel Royal in St....
    , 1830 [reproduced 1991, Boethius Press, Aberystwyth, Wales], pp. 21–22
    In modern music, the seventh note Si is often made one semitone higher, and then the scale of the minor key becomes chromatic. ... The sixth and seventh notes are both occasionally altered at the same time, and then also the scale is chromatic. ... This is the usual method of ascending the minor key, but in descending, the ancient diatonic scale is commonly used.
    [A rare instance of classifying the harmonic minor and the ascending melodic minor as chromatic.]
  • The Theory and Practice of Tone-Relations, Goetschius, Percy
    Percy Goetschius

    Percy Goetschius won international fame in the teaching of the theory of Musical composition....
    , Schirmer, 1931 edition
    [p. 4] This diatonic scale comprises the tones of the major mode, so designated for reasons given later. Upon examination it is found that the contiguous intervals of the diatonic scale, unlike those of the natural scale [Goetschius's term for a series of pitches rising by fifths, starting from F and ending and B, with C identified as the "keynote"; see p. 3], are not uniform, but differ as follows:
    [A diagram is shown of a C major scale with slurs pointing out the semitones between scale steps 3 and 4, and 7 and 8.]
    [p. 33] The line of research and argument [above] proves that, of the two modes recognized and employed in modern music, that one known as major (because its prin. triads have a major third) is the natural one.
    The other, i.e., the minor mode, is consequently to be regarded as an unnatural or artificial mode, and is accounted for as an arbitrary modification of the natural major mode.
    ...
    The scale thus obtained is called the harmonic minor mode. It is the only theoretically accurate minor scale, [... .]
    [Goetschius's stance is unusual in not recognising any scale other than the major as diatonic; he does not mention the so-called "natural" minor scale as an entity in its own right, but considers the harmonic minor as the basic minor form, derived directly from the major by alteration of the third and sixth scale-steps. Later (pp. 104–106) he discusses the melodic minor scale, and the fact that the third scale-step is "the only distinctive tone between the major form and the various minor forms" (p. 105).]
  • The Leading Tone in Direct Chromaticism: From Renaissance to Baroque, John Clough, Journal of Music Theory, Vol. 1, No. 1. (1957), pp. 2–21. Excerpt is from pp. 3–4.
    Chromaticism being essentially the antonymn [sic] of the more restrictive term diatonicism, its precise definition rests on a series of definitions beginning with the concept diatonic system:
    • diatonic system
  • :a succession of whole steps and half steps, of indefinite compass, in which the half steps are separated alternately by two whole steps and three whole steps
    • diatonic
  • :;comprised entirely of tones from a single diatonic system
    • diatonicism
  • :the use of diatonic collections of tones
    • chromatic
  • :not comprised entirely of tones from a single diatonic system
    • chromaticism
  • :the use of chromatic collections of tones
[... During] the past two hundred and fifty years, when extensive deviation from it and abandonment of it have become the norm of practice, the [diatonic] system has persisted as an important framework of tonal organization. Without doubt, this simple succession of whole and half steps is among the most deeply rooted facts of our musical culture.
In view of its historical pre-eminence alone, the system deserves to be represented in its pure form by such a basic theoretical concept as diatonic. Modern abstractions such as the harmonic minor and so called "ascending melodic" minor scales, which are sometimes referred to as diatonic, cannot be reconciled with the above definitions without the term diatonic becoming an unwieldy and theoretically useless catch-all. [Reference to footnote.]
[Footnote:] 1. In this connection much confusion derives from the accepted meaning of the expression chromatic scale. (Clearly, the harmonic minor scale is not the chromatic scale; it is therefore diatonic, or so the reasoning goes.) If the presently accepted meaning of chromatic scale is to be retained, we must content ourselves with the paradox that the harmonic minor and "ascending-melodic" minor scales, while inherently chromatic, are not "chromatic scales". Here it might be stated also that, while I am entirely convinced of the soundness of the above definitions, the reader must realize that any doubts he may entertain regarding them can be in no way damaging to the principle to be derived by their use. So long as the concept of chromaticism, as defined above, is clearly understood, I have no essential objection to the reader's substituting his own term for it throughout the article. Universally accepted nomenclature is a desirable objective, but, unfortunately, it sometimes lags behind theoretical thought.
[A rare detailed articulation of the "exclusive" stance, exceptional for its mentioning and analysing the alternative "inclusive" stance.]


Diatonic includes the harmonic and melodic minor scales

  • Oxford Concise Dictionary of Music (Online ; current print edition is the same)
    For the older European scales, used in the Church's plainsong and in folk song, see modes. Two of these ancient modes remained in use by composers, when the other 10 were almost abandoned, and these are our major and minor scales – the latter, however, subject to some variations in its 6th and 7th notes. Taking C as the keynote these scales (which have provided the chief material of music from about AD 1600 to 1900) run as follows: [than the first figure in the article, showing the major scale on C, then the harmonic minor on C, then the ascending and descending melodic on C; text continues immediately with:] The major and minor scales are spoken of as DIATONIC SCALES, as distinct from a scale using nothing but semitones, which is the CHROMATIC SCALE, ...
  • Music Notation and Terminology, Gehrkens, Karl Wilson, Barnes, NY, 1914
    [p. 79] There are three general classes of scales extant at the present time, viz.: (1) Diatonic; (2) Chromatic; (3) Whole-tone.
    [p. 80] The word diatonic means "through the tones" (i.e., through the tones of the key), and is applied to both major and minor scales of our modern tonality system. In general a diatonic scale may be defined as one which proceeds by half-steps and whole-steps. There is, however, one exception to this principle, viz., in the progression six to seven in the harmonic minor scale, which is of course a step-and-a-half.
  • Tonal Harmony in Concept and Practice, Forte, Allen
    Allen Forte

    Allen Forte is a music theory and musicologist. He was born in Portland, Oregon and fought in the Navy at the close of World War II before moving to the East Coast....
    , NY, Holt, Rinehart, and Winston, 3rd edition, 1979, p. 14
The diatonic minor scale therefore has three forms: natural, melodic, and harmonic.
  • The New Penguin Dictionary of Music, Jacobs, Arthur, Penguin, 4th edition (1977) reprinted with revisions (1986)
    [p. 108] diatonic, pertaining to a given major or minor key (opposite of CHROMATIC); so diatonic scale, any one of the major or minor scales; ...
    [pp. 246–247] major, minor, ... The minor scale is divided for theoretical purposes into three types, [followed by an equal treatment of natural, melodic, and harmonic minor scales, with figures showing each form]
  • Harmony: Its Theory and Practice, Prout, Ebenezer, Augener, 16th edition 1901, Chapter I, p. 3
    8. A SCALE is a succession of notes arranged according to some regular plan. Many different kinds of scales have been used at various times and in various parts of the world; in modern European music only two are employed, which are called the diatonic and the chromatic scale.
    9. The word "diatonic" has already been explained in §6 as meaning "through the degrees". A diatonic scale is a succession of notes in which there is one note, neither more nor less, on each degree of the staff – that is to say, on each line and space. [Reference to Chapter II, p. 17, where the sources of the modern scales in the old system of modes are explained.] There are two varieties of the diatonic scale, known as the major (or greater) and minor (or less) scale from the nature of the interval between the first and third notes of the scale. [Two figures, showing an ascending octave of the C major scale (Ex. 4) and of the C harmonic minor scale (Ex. 5).] Other forms of the minor scale frequently to be met with will be explained later. [The melodic is introduced and explained in Chapter VII, pp. 80–83, §§ 206–210.]
  • Music History and Theory, Clendinnen, William, Doubleday, 1965, p. 23
    Western music made from about 1680–1880 made use of a system of diatonic scales, comprising certain arrangements of whole tones (T) and semitones (S) such as the major ... the melodic minor ... and the harmonic minor (T-S-T-T-S-T½-S).
  • Harmony, Piston, Walter, DeVoto, Mark, Norton, 5th edition, 1987, pp. 4–5
    The tones that form the interval are drawn from scales. The most familiar of these are the two diatonic scales of seven notes each, called the major scale and the minor scale. Tonal music, which includes most music written between 1700 and 1900, is based on diatonic scales.
    The difference between the major and minor scales is found in the distribution of whole steps and half steps above a given starting point. [... C major scale as one case; Example 1–2, showing the scale and its steps and half steps.]
    There are three different forms of the minor scale. The natural minor scale has three tones that are different from corresponding tones in the major scale. Some of these same tones are also found in the other forms, as shown here. [Example 1–3, showing five forms of scales on C: major, natural minor, harmonic minor, melodic minor ascending (all shown ascending); and melodic minor descending.]
    All of the possible pitches in common use, considered together, constitute the chromatic scale. [Example 1–4, showing an ascending and descending chromatic scale; explanation of the chromatic scale. ...]
    Any particular diatonic scale is a seven-note subset of the twelve-note chromatic scale.


Diatonic used vaguely, inconsistently, or anomalously

  • Grove Music Online
    Diatonic (same article as cited above) ... An interval is said to be diatonic if it is available within a diatonic scale. The following intervals and their compounds are all diatonic: minor 2nd (S), major 2nd (T), minor 3rd (TS), major 3rd (TT), perfect 4th (TTS), perfect 5th (TTST), minor 6th (STTTS), major 6th (TTSTT), minor 7th (TSTTTS), major 7th (TTSTTT) and the octave itself. The tritone, in theory diatonic according to this definition, has traditionally been regarded as the alteration of a perfect interval, and hence chromatic; it may be either a semitone more than a perfect 4th (augmented 4th: TTT) or a semitone less than a perfect 5th (diminished 5th: STTS).
  • Grove Music Online
    Minor (i). (1) The name given to a diatonic scale whose octave, in its natural form, is built of the following ascending sequence, in which T stands for a tone and S for a semitone: T–S–T–T–S–T–T). The note chosen to begin the sequence, called the key note, also becomes part of the name of the scale; a D minor scale, for instance, consists of the notes D–E–F–G–A–B–C–D. In practice, however, some notes of the scale are altered chromatically to help impart a sense of direction to the melody. The harmonic minor scale has a raised seventh, in accordance with the need for a major triad on the fifth step (the Dominant chord). The melodic minor scale has a raised sixth and a raised seventh when it is ascending, borrowing the leading-note function of the seventh step from the major scale; in descending, though, it is the same as the natural minor scale.
  • The Cambridge History of Western Music Theory, ed. Thomas Christensen, 2004
    [Records different usages by different major theorists.]
  • Encyclopaedia Britannica (Online: ; 2005 CD-ROM version is the same.)
    Diatonic. ... The "harmonic" minor that results is, strictly speaking, no longer a diatonic scale, unlike "melodic" minor, which simply borrows its upper tetrachord from the parallel major, i.e., the major scale beginning and ending on the same pitch.
    [This accepts the ascending melodic as diatonic.]
  • Encyclopaedia Britannica (Online: .)
    Diatonic. [I]n music, any stepwise arrangement of the seven "natural" pitches (scale degrees) forming an octave without altering the established pattern of a key or mode – in particular, the major and natural minor scales. Some scales, including pentatonic and whole-tone scales, are not diatonic because they do not include the seven degrees. ... In the natural minor scale, the half steps occur at II-III and V-VI. Given the crucial importance of the so-called leading tone (the seventh degree of the major scale) in diatonic harmony, however, the natural minor scale regularly becomes subject to chromatic alteration (in this case, the raising by a half step) of its seventh degree (the harmonic minor form) and often the sixth degree as well (the melodic minor form of the scale, used in an ascending melody). The harmonic minor is, strictly speaking, not really a scale; it is used normally not melodically but as a source set for constructing harmony. The upper tetrachord of the ascending melodic minor scale is identical with that of the major scale. ... The diatonic scale, as a model, is contrasted with the chromatic scale of 12 pitches, corresponding to the white and black notes of the piano keyboard considered together. ... An accidental sign in front of a note normally signifies either that the tone is notated as the sixth or seventh degree of the minor scale, or that the tone is a chromatic tone (it does not belong to the particular diatonic scale being used in the harmony of the moment).
    [The status of the harmonic and melodic minor as diatonic is left uncertain. Treatment of the alteration of the sixth and seventh degrees in minor is self-contradictory: at first those degrees are "subject to chromatic alteration"; but later such alterations are mentioned separately from and distinguished from "chromatic tones".]
  • Elementary Training for Musicians Hindemith, Paul
    Paul Hindemith

    Paul Hindemith was a German composer, violist, violinist, teacher, music theorist and Conducting....
    , 2nd edition, 1949, p. 58
    ... (diatonic = consisting of whole- and half-tone steps)...
    [This definition fails to exclude the ascending melodic as diatonic, and fails to include the harmonic minor.]


Compared with the seven available in a major scale. The exact intention with regard to classification of the harmonic and melodic minor scales is unclear, and likely to be inconsistent.

  • Collins Pocket Dictionary of Music, Collins, 1982 [abridged from Collins Encyclopedia of Music, eds. Westrup, J, and Harrison, F, revised edition 1976]
    Diatonic ... In minor keys [the] sharpened sixth and seventh are in such common use, though not strictly proper to [the] key, that they are also regarded as diatonic ...
    Scale ... Modern diatonic scale as 2 modes: major ... and minor (TSTTSTT). Latter only has theoretical existence; in practice has 2 forms, both of which involve element of chromaticism in treatment of leading note: [forms of harmonic and ascending and descending melodic are given].
    [See note for the entry immediately above.]
  • Theory of Harmony Schoenberg, Arnold
    Arnold Schoenberg

    Arnold Schoenberg was an Austrian and later American composer, associated with the expressionist movement in German poetry and art, and leader of the Second Viennese School....
    , (translation of 3rd edition, 1922), 1983, p. 32
    In the seven chords that we build on the seven tones of the major scale we use no tones other than these same seven – the tones of the scale, the diatonic tones.
    [Harmonic and melodic minor scales aren't necessarily excluded. The intention is unclear.]
  • A Dictionary of Musical Terms Baker, Theodore, 1923 edition
    Diatonic: (In modern usage) By, through, with, within, or embracing the tones of the standard major or minor scale.
    [The phrase "standard major or minor scale" is ambiguous, and could include all forms of the minor.]
  • Music for Our Time, Winter, Robert, Wadsworth, 1992, pp. 28–29
    ... Western music settled on two diatonic patterns, known today as the major scale and the minor scale. ... The minor scale results from flatting (lowering by half a step) the third and sixth degrees of the major scale. ... it is frequently smoothed out by [alterations to the sixth and seventh degree. ...] this form of the minor scale is called the melodic minor scale.
    [The precise interpretation of patterns in two diatonic patterns is open to dispute. On one reading, these patterns are more general and flexible, and the minor pattern remains diatonic when it is varied as the author describes. By that reading, the definition of diatonic scale is not anomalous, but includes all standard forms of the minor scale. On another reading, pattern is taken to mean "exact configuration of tones and semitones"; by that reading, the definition is barely coherent (since a scale constrained to conform to such a strict configuration cannot be "smoothed out" by the alterations mentioned and yet retain the pattern that the author identifies as "the minor scale"). This second reading entails that among the minors only the harmonic form is "diatonic".]


See also


  • Diatonic scale
    Diatonic scale

    In music theory, a diatonic scale is a seven note musical scale comprising five whole steps and two half steps, in which the half steps are maximally separated....
  • Chromatic scale
    Chromatic scale

    The chromatic scale is a musical scale with twelve Pitch es, each a semitone or half step apart. "A chromatic scale is a diatonic scale consisting entirely of half-step interval ," having, "no tonic ," due to the symmetry or equal spacing of its tones....
  • Pentatonic scale
    Pentatonic scale

    A pentatonic scale is a musical scale with five pitch per octave in contrast to an heptatonic scale scale such as the major scale. Pentatonic scales are very common and are found all over the world, including but not limited to Celtic music, Hungarian folk music, West African music, African-American spiritual , Jazz, American blues music a...
  • Chromaticism
    Chromaticism

    In music, chromaticism is a compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale....
  • Major and minor
    Major and minor

    In music, the adjectives major and minor can describe a scale , key , chord , or interval . For intervals, the terms refer to a difference in their relative width, major referring to notes somewhat further apart; the other terms are classifications based on the use of certain intervals, especially the major or minor third....
  • Semitone
    Semitone

    A semitone, also called a half step or a half tone,Aaron Copland, Leonard Bernstein, and others use "half tone".One source says that step is "chiefly US", and that half-tone is "chiefly N....