Dorian mode

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Dorian mode or Doric mode can refer to three very different but interrelated subjects: one of the Ancient Greek harmoniai (characteristic melodic behaviour, or the scale structure associated with it); one of the medieval musical modes; or—most commonly—one of the modern modal diatonic scales, corresponding to the piano keyboard's white notes from D to D, or any transposition of itself.

 {
\override Score.TimeSignature #'stencil = ##f
\relative c' {
  \clef treble \time 7/4
  c4^\markup { Modern C Dorian mode } d es f g a bes c2
} }

Greek Dorian mode[edit]

The Dorian mode (properly harmonia or tonos) is named after the Dorian Greeks. Applied to a whole octave, the Dorian octave species was built upon two tetrachords (four-note segments) separated by a whole tone, running from the hypate meson to the nete diezeugmenon.

In the enharmonic genus, the intervals in each tetrachord are quarter tone–quarter tone–major third.

 {
\override Score.TimeSignature #'stencil = ##f
\relative c' {
  \clef treble \time 4/4
  e4^\markup { Greek Dorian tonos (enharmonic genus) on E } feh geses a b ceh deses e
} }
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In the chromatic genus, they are semitone–semitone–minor third.

 {
\override Score.TimeSignature #'stencil = ##f
\relative c' {
  \clef treble \time 4/4
  e4^\markup { Greek Dorian tonos (chromatic genus) on E } f ges a b c des e
} }

In the diatonic genus, they are semitone–tone–tone.

 {
\override Score.TimeSignature #'stencil = ##f
\relative c' {
  \clef treble \time 4/4
  e4^\markup { Greek Dorian tonos (diatonic genus) on E } f g a b c d e
} }

In the diatonic genus, the sequence over the octave is the same as that produced by playing all the white notes of a piano ascending from E to E,[1] a sequence equivalent to the pattern of the modern Phrygian mode, although the temperament differs by small amounts.

Placing the single tone at the bottom of the scale followed by two conjunct tetrachords (that is, the top note of the first tetrachord is also the bottom note of the second), produces the Hypodorian ("below Dorian") octave species: A | B C D E | (E) F G A. Placing the two conjunct tetrachords together and the single tone at the top of the scale produces the Mixolydian octave species, a note sequence equivalent to modern Locrian mode.[2]



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