Editing Dorian mode (section)

== Greek Dorian mode <span class="anchor" id="Greek_Dorian_anchor"></span>==
The Dorian mode (properly ''harmonia'' or ''tonos'') is named after the [[Dorians|Dorian Greeks]]. Applied to a whole [[octave]], the Dorian [[octave species]] was built upon two [[tetrachord]]s (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]].

:<score sound="1"> {
\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
} }
</score>

In the [[chromatic genus]], they are [[semitone]]–semitone–[[minor third]].

:<score sound="1"> {
\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
} }
</score>

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

:<score sound="1"> {
\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
} }
</score>

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,<ref>[[Thomas J. Mathiesen]], "Greece, §I: Ancient: 6. Music Theory: (iii) Aristoxenian Tradition: (d) Scales". ''[[The New Grove Dictionary of Music and Musicians]]'', second edition, edited by [[Stanley Sadie]] and [[John Tyrrell (musicologist)|John Tyrrell]] (London: Macmillan, 2001).</ref> 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 mode|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 mode|Mixolydian]] octave species, a note sequence equivalent to modern [[Locrian mode]].<ref>[[Thomas J. Mathiesen]], "Greece, §I: Ancient: 6. Music Theory: (iii) Aristoxenian Tradition: (e) Tonoi and Harmoniai". ''[[The New Grove Dictionary of Music and Musicians]]'', second edition, edited by [[Stanley Sadie]] and [[John Tyrrell (musicologist)|John Tyrrell]] (London: Macmillan, 2001).</ref>