Heptachord

Seven-note series in musical notation From Wikipedia, the free encyclopedia

Heptachord, from Greek heptachordos, from ancient greek ἑπτάχορδος (heptákhordos, "seven-stringed"), from ἑπτά (heptá, "seven") + χορδή (khordḗ, "chord"), is a 7-stringed lyre of ancient Greece, the interval of a seventh, or a (diatonic) scale of seven notes or tones.[1]

Heptachord based on D, modal pattern: 1½11½1, 2 consecutive tetrachords
Heptachord lyre

7-stringed lyre

Most of the ancient greek lyres had 7 strings.[2] Early lyres originate in ancient Mesopotamia.[3]

Interval of a seventh

Two intervals are possible:


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  <a g'>1
}


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c { 
 <f e'>1
}

Scale of seven notes

A heptachord is based on two consecutive tetrachords.[4]

Basic tetrachords

1½1, ½11, 11½



ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  d1 e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g}


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  e1 -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a}


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  c1 d e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup}

and the tritone
111


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  f1 g a b}

7 modes

The 7 modal patterns for the Babylonian heptachords are:[5][6]

More information Mode, Pattern ...
Babylonian tonal system
ModePatternCenter noteSemitonesTritones
kitmum1½11½1D100
pītum½11½11E100
qablītum11½11½C100
išartum1½111½G101
embūbum½111½1A101
nīd qablim111½11B112
nīš tuḫrim11½111F112
Close
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 
elative c' { 
  a1^"kitmum" b -	weak HorizontalBracketText.text "semitone"  startGroup cstopGroup d e-	weak HorizontalBracketText.text "semitone"startGroup fstopGroup g }
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 
elative c' { 
  g1^"pītum" a b -	weak HorizontalBracketText.text "semitone"  startGroup cstopGroup d e-	weak HorizontalBracketText.text "semitone"startGroup fstopGroup }
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  b1^"qablītum" -	weak HorizontalBracketText.text "semitone"  startGroup cstopGroup d e-	weak HorizontalBracketText.text "semitone"startGroup fstopGroup g a}
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c { 
  e1^"išartum" -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a b-	weak HorizontalBracketText.text "semitone"startGroup cstopGroup d}
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  d1^"embūbum" e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a b-	weak HorizontalBracketText.text "semitone"startGroup cstopGroup}
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  f,1^"nīd qablim" g a b -	weak HorizontalBracketText.text "semitone"  startGroup cstopGroup d e}
 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  c1^"nīš tuḫrim" d e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a b}

2 consecutive heptachords

 
ew Staff with { consists Ambitus_engraver consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 
elative c' { 
  a1^"kitmum" b -	weak HorizontalBracketText.text "semitone"  startGroup cstopGroup d e-	weak HorizontalBracketText.text "semitone"startGroup fstopGroup g a-	weak HorizontalBracketText.text "semitone"  startGroup besstopGroup c d-	weak HorizontalBracketText.text "semitone"  startGroup esstopGroup f}

7 consecutive heptachords

6 cyclic consecutive heptachords

Circle of fourths, kitmum, 36 notes, 60 semitones = Anu 𒀭[7][8]

Tuning

A tuning procedure ‘loosening’ (TU.LU)[9] in Music of Mesopotamia for a 7-stringed instrument based on a transposition to D/D:[5][10]



ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  d1^"išartum" e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a b-	weak HorizontalBracketText.text "semitone"startGroup cstopGroup }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  d1^"kitmum" e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a-	weak HorizontalBracketText.text "semitone"startGroup besstopGroup c }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  d1^"embūbum" -	weak HorizontalBracketText.text "semitone"  startGroup esstopGroup f g a-	weak HorizontalBracketText.text "semitone"startGroup besstopGroup c }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  d1^"pītum" -	weak HorizontalBracketText.text "semitone"  startGroup esstopGroup f g -	weak HorizontalBracketText.text "semitone"startGroup asstopGroup bes c }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  des1^"nīd qablim" es f g-	weak HorizontalBracketText.text "semitone"startGroup asstopGroup bes c }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  des1^"nīš tuḫrim" es f -	weak HorizontalBracketText.text "semitone"startGroup gesstopGroup as bes c }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  des1^"qablītum" es f -	weak HorizontalBracketText.text "semitone"startGroup gesstopGroup as bes-	weak HorizontalBracketText.text "semitone"startGroup cesstopGroup }

‘tightening’ (GÍD.I)



ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  d1^"išartum" e -	weak HorizontalBracketText.text "semitone"  startGroup fstopGroup g a b-	weak HorizontalBracketText.text "semitone"startGroup cstopGroup }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  d1^"qablītum" e fis -	weak HorizontalBracketText.text "semitone"startGroup gstopGroup a b-	weak HorizontalBracketText.text "semitone"startGroup cstopGroup }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  d1^"niš tuĥrim" e fis -	weak HorizontalBracketText.text "semitone"startGroup gstopGroup a b cis }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  d1^"nīd qablim" e fis gis-	weak HorizontalBracketText.text "semitone"startGroup astopGroup b cis }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  dis1^"pītum" -	weak HorizontalBracketText.text "semitone"  startGroup estopGroup fis gis -	weak HorizontalBracketText.text "semitone"startGroup astopGroup b cis }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" } 

elative c' { 
  dis1^"embūbum" -	weak HorizontalBracketText.text "semitone"  startGroup estopGroup fis gis ais-	weak HorizontalBracketText.text "semitone"startGroup bstopGroup cis }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  dis1^"kitmum" eis -	weak HorizontalBracketText.text "semitone"  startGroup fisstopGroup gis ais-	weak HorizontalBracketText.text "semitone"startGroup bstopGroup cis }

Basic tetrachord with 4 semitones

½1½



ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  fis1-	weak HorizontalBracketText.text "semitone"startGroup gstopGroup a-	weak HorizontalBracketText.text "semitone"startGroup besstopGroup }

Heptachords with 9 semitones

½1½1½1 and 1½1½1½



ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
  dis1-	weak HorizontalBracketText.text "semitone"  startGroup estopGroup fis-	weak HorizontalBracketText.text "semitone"startGroup gstopGroup a-	weak HorizontalBracketText.text "semitone"startGroup besstopGroup c }


ew Staff with { consists Horizontal_bracket_engraver 
emove "Time_signature_engraver" 
emove "Bar_engraver" }

elative c' { 
   e1 fis-	weak HorizontalBracketText.text "semitone"startGroup gstopGroup a-	weak HorizontalBracketText.text "semitone"startGroup besstopGroup c-	weak HorizontalBracketText.text "semitone"startGroup desstopGroup}

References

Further reading

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