Glommish/Musical system: Difference between revisions

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===13th century===
===13th century===


# A B C D E F G# A
# A B C# D E F# G# A
# A B C# D E F G A
The first scale uses a chain of fifths with sizes M-M-S-S-L-S-S (S = smaller fifth, L = larger fifth, M = near-just fifth)
The second scale uses a chain of fifths M-M-M-M-S-S-S.
The third scale is symmetric and uses a chain M-S-S-L-S-S-M.
A typical tuning is a subset of 29edo.


===15th century===
===15th century===
Line 50: Line 39:


===19th century (popular)===
===19th century (popular)===
===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

Revision as of 08:12, 10 October 2016

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

13th century

15th century

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

19th century (popular)

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
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