Heptachord

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

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]

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
}

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

Scale of seven notes

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

Basic tetrachords

1½1, ½11, 11½


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  d1 e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g}

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  e1 -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a}

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  c1 d e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup}

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]

Babylonian tonal system
Mode Pattern Center note Semitones Tritones
kitmum 1½11½1 D 10 0
pītum ½11½11 E 10 0
qablītum 11½11½ C 10 0
išartum 1½111½ G 10 1
embūbum ½111½1 A 10 1
nīd qablim 111½11 B 11 2
nīš tuḫrim 11½111 F 11 2
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' { 
  a1^"kitmum" b -\tweak HorizontalBracketText.text "semitone"  \startGroup c\stopGroup d e-\tweak HorizontalBracketText.text "semitone"\startGroup f\stopGroup g }
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' { 
  g1^"pītum" a b -\tweak HorizontalBracketText.text "semitone"  \startGroup c\stopGroup d e-\tweak HorizontalBracketText.text "semitone"\startGroup f\stopGroup }
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  b1^"qablītum" -\tweak HorizontalBracketText.text "semitone"  \startGroup c\stopGroup d e-\tweak HorizontalBracketText.text "semitone"\startGroup f\stopGroup g a}
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c { 
  e1^"išartum" -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a b-\tweak HorizontalBracketText.text "semitone"\startGroup c\stopGroup d}
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  d1^"embūbum" e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a b-\tweak HorizontalBracketText.text "semitone"\startGroup c\stopGroup}
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  f,1^"nīd qablim" g a b -\tweak HorizontalBracketText.text "semitone"  \startGroup c\stopGroup d e}
 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  c1^"nīš tuḫrim" d e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a b}

2 consecutive heptachords

 \new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' { 
  a1^"kitmum" b -\tweak HorizontalBracketText.text "semitone"  \startGroup c\stopGroup d e-\tweak HorizontalBracketText.text "semitone"\startGroup f\stopGroup g a-\tweak HorizontalBracketText.text "semitone"  \startGroup bes\stopGroup c d-\tweak HorizontalBracketText.text "semitone"  \startGroup es\stopGroup 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]


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  d1^"išartum" e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a b-\tweak HorizontalBracketText.text "semitone"\startGroup c\stopGroup }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  d1^"kitmum" e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a-\tweak HorizontalBracketText.text "semitone"\startGroup bes\stopGroup c }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  d1^"embūbum" -\tweak HorizontalBracketText.text "semitone"  \startGroup es\stopGroup f g a-\tweak HorizontalBracketText.text "semitone"\startGroup bes\stopGroup c }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  d1^"pītum" -\tweak HorizontalBracketText.text "semitone"  \startGroup es\stopGroup f g -\tweak HorizontalBracketText.text "semitone"\startGroup as\stopGroup bes c }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  des1^"nīd qablim" es f g-\tweak HorizontalBracketText.text "semitone"\startGroup as\stopGroup bes c }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  des1^"nīš tuḫrim" es f -\tweak HorizontalBracketText.text "semitone"\startGroup ges\stopGroup as bes c }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  des1^"qablītum" es f -\tweak HorizontalBracketText.text "semitone"\startGroup ges\stopGroup as bes-\tweak HorizontalBracketText.text "semitone"\startGroup ces\stopGroup }

‘tightening’ (GÍD.I)


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  d1^"išartum" e -\tweak HorizontalBracketText.text "semitone"  \startGroup f\stopGroup g a b-\tweak HorizontalBracketText.text "semitone"\startGroup c\stopGroup }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  d1^"qablītum" e fis -\tweak HorizontalBracketText.text "semitone"\startGroup g\stopGroup a b-\tweak HorizontalBracketText.text "semitone"\startGroup c\stopGroup }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  d1^"niš tuĥrim" e fis -\tweak HorizontalBracketText.text "semitone"\startGroup g\stopGroup a b cis }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  d1^"nīd qablim" e fis gis-\tweak HorizontalBracketText.text "semitone"\startGroup a\stopGroup b cis }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  dis1^"pītum" -\tweak HorizontalBracketText.text "semitone"  \startGroup e\stopGroup fis gis -\tweak HorizontalBracketText.text "semitone"\startGroup a\stopGroup b cis }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" } 
\relative c' { 
  dis1^"embūbum" -\tweak HorizontalBracketText.text "semitone"  \startGroup e\stopGroup fis gis ais-\tweak HorizontalBracketText.text "semitone"\startGroup b\stopGroup cis }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  dis1^"kitmum" eis -\tweak HorizontalBracketText.text "semitone"  \startGroup fis\stopGroup gis ais-\tweak HorizontalBracketText.text "semitone"\startGroup b\stopGroup cis }

Basic tetrachord with 4 semitones

½1½


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  fis1-\tweak HorizontalBracketText.text "semitone"\startGroup g\stopGroup a-\tweak HorizontalBracketText.text "semitone"\startGroup bes\stopGroup }

Heptachords with 9 semitones

½1½1½1 and 1½1½1½


\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
  dis1-\tweak HorizontalBracketText.text "semitone"  \startGroup e\stopGroup fis-\tweak HorizontalBracketText.text "semitone"\startGroup g\stopGroup a-\tweak HorizontalBracketText.text "semitone"\startGroup bes\stopGroup c }

\new Staff \with { \consists Horizontal_bracket_engraver \remove "Time_signature_engraver" \remove "Bar_engraver" }
\relative c' { 
   e1 fis-\tweak HorizontalBracketText.text "semitone"\startGroup g\stopGroup a-\tweak HorizontalBracketText.text "semitone"\startGroup bes\stopGroup c-\tweak HorizontalBracketText.text "semitone"\startGroup des\stopGroup}

References

  1. ^ "Definition of HEPTACHORD". Merriam-Webster. 5 August 2024. Retrieved 19 January 2026.
  2. ^ Levy, Michael (15 October 2018). "How Did The Ancient Greeks Tune A 7-String Lyre?". Composer for Lyre. Retrieved 19 January 2026.
  3. ^ "Museum of Ancient Inventions: Sumerian Bull Lyre, SciTech Institute". SciTech Institute. 24 October 2025. Retrieved 19 January 2026.
  4. ^ "early ancient Greek musical scale with two conjunct tetrachords = heptachord". Encyclopedia of Microtonal Music Theory. Retrieved 19 January 2026.
  5. ^ a b Crickmore, Leon (2008). A New Light on the Babylonian Tonal System (PDF). Proceedings of the International Conference of Near Eastern Archaeomusicology (ICONEA 2008), The British Museum, London, December 4–6, 2008, editors: Richard Dumbrill and Irving Finkel. London: Iconea Publications. pp. 11–22.
  6. ^ Crickmore, Leon (2012). "A Musicological Interpretation of the Akkadan Term Siḫpu". Journal of Cuneiform Studies. 64 (1): 57–64. doi:10.5615/jcunestud.64.0057. ISSN 0022-0256. Retrieved 21 January 2026.
  7. ^ Lambert, Wilfred G. (2013). Babylonian creation myths. Winona Lake, Indiana: Eisenbrauns. p. 188. ISBN 978-1-57506-861-9. OCLC 861537250.
  8. ^ Stephens, Kathryn (2013), "An/Anu (god)", Ancient Mesopotamian Gods and Goddesses, Open Richly Annotated Cuneiform Corpus, UK Higher Education Academy
  9. ^ Kilmer, Anne (2001). "Mesopotamia". Oxford Music Online. Oxford University Press. doi:10.1093/gmo/9781561592630.article.18485. ISBN 978-1-56159-263-0. Retrieved 6 February 2026.

Further reading