Glommish/Musical system

Instruments

þe térem = string instrument (from Türiŋit täärm)

þe kátérem = guqin (← kaa-täärm 'ancient string instrument')

þe júskion = dulcimer (← jüüskön)

þí klársiach = harp (← cláirseach)

þe kinnór = lyre (← cinnowr)

þe piengeng (térem) = bowed string instrument (← peŋ-eŋ (bow-COMITATIVE))

þe siópiengeng = violin (← söö-peŋeŋ 'small bowed')

þe latspiengeng = cello (← lats-peŋeŋ 'large bowed')

þe lúg (← luug), þí fiadóg (← feadóg) = (two kinds of) flute

þí szavúrtéreme = broken instruments

Tuning

17th century

There are three kinds of systems:

1) Two eleven-limit diamonds spaced a perfect fifth apart, or two (1...13)x(1...1/7) diamonds spaced a perfect fifth apart

2) A cross set (1...15)x(1...15)

3) An Euler-Fokker genus 3⁴x5²x7²

Chinese Theory

• experiments in pythagorean tuning followed by the discovery of 12- and 53-tone MOS scales
• higher limit tonalities introduced by throat-singers; subsequent treatises describe otonality as yin (qürm) and utonality as yang (läŋ)
• musical theater, orchestra, Partchian ideas

European Theory

• Babylonians independently discover pythagorean tuning and Greeks extend it into genera
• poly-pythagorean chains introduced by Jewish theorists to explain the enharmonic genus