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Encyclopedia of Microtonal Music Theory

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lyra / lyre

[John Chalmers, Divisions of the Tetrachord]

A plucked string instrument often played by amateurs in Classical times. It had gut strings and had a body made from the shell of a tortoise.

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muse with lyre, from an ancient Greek vase
[Joe Monzo]

The lyre is a simple stringed instrument, and the basis of the earliest recorded written music-theory, on Babylonian tablets c.2000 BC.

The Greek lyre was typically constructed of a tortoise shell for the soundbox, with three wooden dowels attached to which the strings were attached.

The ancient Greeks similarly wrote much of their music theoretical information in reference to the lyre, and their note-names refer directly to the positions of the strings on the lyre. The strings were positioned exactly as on the modern guitar, with the lowest-pitched string closest to the player's body and the highest-pitched string furthest away.

The oldest Greek scale had 7 notes which were named as shown below in descending pitch order; note that this scale is composed of two conjunct (_synemmenon_) tetrachords with identical intervallic structure -- that is, the lowest note of the highest tetrachord is the same pitch as the highest note of the lower tetrachord:

----------- note name ------------ modern  interval
Greek transliteration  English     equiv.  between

νητη      nete       furthest         D             \
                                         > tone      \
παρανητη  paranete   next-to-furthest C               \
                                         > tone        upper tetrachord
τριτη     trite      third            Bb              /
                                         > semitone  /
μεση      mese       middle           A             <
                                         > tone      \
λιχανοσ   lichanos   index-finger     G               \
                                         > tone        lower tetrachord
παρυπατη  parhypate  next-to-nearest  F               /
                                         > semitone  /
'υπατη    hypate     nearest          E             /
		

Another basic scale was created by raising all four strings of the higher tetrachord a tone, resulting in a new highest note and also inserting a new note a tone above _mese_. Note that the tetrachords still have the same intervallic structure, but this time they are disjunct (_diezeugmenon_), separated by the "tone of disjunction":

----------- note name ------------ modern  interval
Greek transliteration  English     equiv.  between

νητη      nete       furthest         E             \
                                         > tone      \
παρανητη  paranete   next-to-furthest D               \
                                         > tone        upper tetrachord
τριτη     trite      third            C               /
                                         > semitone  /
παραμεση  paramese   next-to-middle   B
                                         > tone of disjunction
μεση      mese       middle           A
                                         > tone      \
λιχανοσ   lichanos   index-finger     G               \
                                         > tone        lower tetrachord
παρυπατη  parhypate  next-to-nearest  F               /
                                         > semitone  /
'υπατη    hypate     nearest          E             /
		

Later, another conjoined tetrachord was added below the 7-note scale, and to the 8-note scale conjoined tetrachords were added both at the bottom and the top. With the addition of the "added tone" (_proslambanomenos_) at the bottom, this created respectively the Lesser Perfect System (LPS) and Greater Perfect System (GPS). The note names of the highest (_hyperbolaion_) tetrachord were the same as those of the upper tetrachord of the original scales, and the note names of the lowest (_hypaton_) tetrachord were the same as those of the lower tetrachord of the original scale.

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