In music theory, the term mode or modus is used in a number of distinct senses, depending on context.
Its most common use may be described as a type of musical scale coupled with a set of characteristic melodic and harmonic behaviors. It is applied to major and minor keys as well as the seven diatonic modes (including the former as Ionian and Aeolian) which are defined by their starting note or tonic. (Olivier Messiaen's modes of limited transposition are strictly a scale type.) Related to the diatonic modes are the eight church modes or Gregorian modes, in which authentic and plagal forms of scales are distinguished by ambitus and tenor or reciting tone. Although both diatonic and Gregorian modes borrow terminology from ancient Greece, the Greek tonoi do not otherwise resemble their medieval/modern counterparts.
Previously, in the Middle Ages the term modus was used to describe intervals, individual notes, and rhythms (see ). Modal rhythm was an essential feature of the modal notation system of the Notre-Dame school at the turn of the 12th century. In the mensural notation that emerged later, modus specifies the subdivision of the longa.
Outside of Western classical music, "mode" is sometimes used to embrace similar concepts such as Octoechos, maqam, pathet etc. (see below).
Mode as a general concept
Regarding the concept of mode as applied to pitch relationships generally, in 2001 Harold S. Powers proposed that "mode" has "a twofold sense", denoting either a "particularized scale" or a "generalized tune", or both:
In 1792, Sir Willam Jones applied the term "mode" to the music of "the Persians and the Hindoos". As early as 1271, Amerus applied the concept to cantilenis organicis (lit. "organic songs", most probably meaning "polyphony"). It is still heavily used with regard to Western polyphony before the onset of the common practice period, as for example "modale Mehrstimmigkeit" by Carl Dahlhaus or "Alte Tonarten" of the 16th and 17th centuries found by Bernhard Meier.
The word encompasses several additional meanings. Authors from the 9th century until the early 18th century (e.g., Guido of Arezzo) sometimes employed the Latin modus for interval, or for qualities of individual notes. In the theory of late-medieval mensural polyphony (e.g., Franco of Cologne), modus is a rhythmic relationship between long and short values or a pattern made from them; in mensural music most often theorists applied it to division of longa into 3 or 2 breves.
Modes and scales
A musical scale is a series of pitches in a distinct order.
The concept of "mode" in Western music theory has three successive stages: in Gregorian chant theory, in Renaissance polyphonic theory, and in tonal harmonic music of the common practice period. In all three contexts, "mode" incorporates the idea of the diatonic scale, but differs from it by also involving an element of melody type. This concerns particular repertories of short musical figures or groups of tones within a certain scale so that, depending on the point of view, mode takes on the meaning of either a "particularized scale" or a "generalized tune". Modern musicological practice has extended the concept of mode to earlier musical systems, such as those of Ancient Greek music, Jewish cantillation, and the Byzantine system of octoechoi, as well as to other non-Western types of music.
By the early 19th century, the word "mode" had taken on an additional meaning, in reference to the difference between major and minor keys, specified as "major mode" and "minor mode". At the same time, composers were beginning to conceive "modality" as something outside of the major/minor system that could be used to evoke religious feelings or to suggest folk-music idioms.
Greek modes
Early Greek treatises describe three interrelated concepts that are related to the later, medieval idea of "mode": (1) scales (or "systems"), (2) tonos – pl. tonoi – (the more usual term used in medieval theory for what later came to be called "mode"), and (3) harmonia (harmony) – pl. harmoniai – this third term subsuming the corresponding tonoi but not necessarily the converse.
Greek scales
The Greek scales in the Aristoxenian tradition were:
:{|
|- style="vertical-align:bottom;font-size:80%;"
| Aristoxenian<br/>scale || rough<br/>modern<br/>pitch || Aristoxenus' description
|- style="vertical-align:top;"
| Mixolydian || b– || hypate hypaton–paramese
|- style="vertical-align:top;"
| Lydian || –c || parhypate hypaton–trite diezeugmenon
|- style="vertical-align:top;"
| Phrygian || –d || lichanos hypaton–paranete diezeugmenon
|- style="vertical-align:top;"
| Dorian || –e || hypate meson–nete diezeugmenon
|- style="vertical-align:top;"
| Hypolydian || –f || parhypate meson–trite hyperbolaion
|- style="vertical-align:top;"
| Hypophrygian || –g || lichanos meson–paranete hyperbolaion
|- style="vertical-align:top;"
| Common,<br/> Locrian, or<br/> Hypodorian || <br/> a– || mese–nete hyperbolaion or<br/> proslambnomenos–mese
|}
These names are derived from ancient Greeks' cultural subgroups (Dorians), small regions in central Greece (Locris), and certain Anatolian peoples (Lydia, Phrygia) (not ethnically Greek, but in close contact with them). The association of these ethnic names with the octave species appears to precede Aristoxenus, who criticized their application to the tonoi by the earlier theorists whom he called the "Harmonicists". According to , he felt that their diagrams, which exhibit 28 consecutive dieses, were
: "... devoid of any musical reality since more than two quarter-tones are never heard in succession."
Depending on the positioning (spacing) of the interposed tones in the tetrachords, three genera of the seven octave species can be recognized. The diatonic genus (composed of tones and semitones), the chromatic genus (semitones and a minor third), and the enharmonic genus (with a major third and two quarter tones or dieses). The framing interval of the perfect fourth is fixed, while the two internal pitches are movable. Within the basic forms, the intervals of the chromatic and diatonic genera were varied further by three and two "shades" (chroai), respectively.
In contrast to the medieval modal system, these scales and their related tonoi and harmoniai appear to have had no hierarchical relationships amongst the notes that could establish contrasting points of tension and rest, although the mese ("middle note") might have functioned as some sort of central, returning tone for the melody.
Tonoi
The term tonos (pl. tonoi) was used in four senses:
: "as note, interval, region of the voice, and pitch. We use it of the region of the voice whenever we speak of Dorian, or Phrygian, or Lydian, or any of the other tones".
Cleonides attributes thirteen tonoi to Aristoxenus, which represent a progressive transposition of the entire system (or scale) by semitone over the range of an octave between the Hypodorian and the Hypermixolydian. with nominal base pitches as follows (descending order):
:{|
|- style="font-size:80%;vertical-align:bottom;"
|align=center| nominal<br/>modern<br/>base
| Aristoxenian school name
|-
! F
| Hypermixolydian (or Hyperphrygian)
|-
! E
| High Mixolydian or Hyperiastian
|-
! E
| Low Mixolydian or Hyperdorian
|-
! D
| Lydian
|-
! C
| Low Lydian or Aeolian
|-
! C
| Phrygian
|-
! B
| Low Phrygian or Iastian
|-
! B
| Dorian
|-
! A
| Hypolydian
|-
! G
| Low Hypolydian or Hypoaeolian
|-
! G
| Hypophrygian
|-
! F
| Low Hypophrygian or Hypoiastian
|-
! F
| Hypodorian
|}
Ptolemy, in his Harmonics, ii.3–11, construed the tonoi differently, presenting all seven octave species within a fixed octave, through chromatic inflection of the scale degrees (comparable to the modern conception of building all seven modal scales on a single tonic). In Ptolemy's system, therefore there are only seven tonoi. Pythagoras also construed the intervals arithmetically (if somewhat more rigorously, initially allowing for 1:1 = Unison, 2:1 = Octave, 3:2 = Fifth, 4:3 = Fourth and 5:4 = Major Third within the octave). In their diatonic genus, these tonoi and corresponding harmoniai correspond with the intervals of the familiar modern major and minor scales. See Pythagorean tuning and Pythagorean interval.
Harmoniai
{| class="wikitable" align="right" style="text-align:center;"
|+Harmoniai of the School of Eratocles (enharmonic genus)
! Mixolydian
| || || 2 || || || 2 || 1
|-
! Lydian
| || 2 || || || 2 || 1 ||
|-
! Phrygian
| 2 || || || 2 || 1 || ||
|-
! Dorian
| || || 2 || 1 || || || 2
|-
! Hypolydian
| || 2 || 1 || || || 2 ||
|-
! Hypophrygian
| 2 || 1 || || || 2 || ||
|-
! Hypodorian
| 1 || || || 2 || || || 2
|}
In music theory the Greek word harmonia can signify the enharmonic genus of tetrachord, the seven octave species, or a style of music associated with one of the ethnic types or the tonoi named by them.
Particularly in the earliest surviving writings, harmonia is regarded not as a scale, but as the epitome of the stylised singing of a particular district or people or occupation. By the late 5th century BC, these regional types are being described in terms of differences in what is called harmonia – a word with several senses, but here referring to the pattern of intervals between the notes sounded by the strings of a lyra or a kithara.
However, there is no reason to suppose that, at this time, these tuning patterns stood in any straightforward and organised relations to one another. It was only around the year 400 that attempts were made by a group of theorists known as the harmonicists to bring these harmoniai into a single system and to express them as orderly transformations of a single structure. Eratocles was the most prominent of the harmonicists, though his ideas are known only at second hand, through Aristoxenus, from whom we learn they represented the harmoniai as cyclic reorderings of a given series of intervals within the octave, producing seven octave species. We also learn that Eratocles confined his descriptions to the enharmonic genus.
Philosophical harmoniai in Plato and Aristotle
In the Republic, Plato uses the term inclusively to encompass a particular type of scale, range and register, characteristic rhythmic pattern, textual subject, etc.
The philosophical writings of Plato and Aristotle () include sections that describe the effect of different harmoniai on mood and character formation. For example, Aristotle stated in his Politics:
Aristotle continues by describing the effects of rhythm, and concludes about the combined effect of rhythm and harmonia (viii:1340b:10–13):
