Verse:Irta/Hylnehbyþin: Difference between revisions

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Some natural questions arising in Etalocian music theory:
Some natural questions arising in Etalocian music theory:
*Scale construction - Find an algorithm for the following.
*Scale construction - Find algorithms for the following.
**What is the smallest (constant-structure, proper, or some other desirable property) scale that contains a given set (or multiset) of chords?
**What is the smallest (constant-structure, proper, or some other desirable property) scale that contains a given set (or multiset) of chords?
***What is the smallest nice scale that allows a given progression?  
***What is the smallest nice scale that allows a given progression?  
**What is the smallest nice scale that contains a path from one root to another via modulations by common tones?
**What is the smallest nice scale that contains a path from one root to another via modulations by common tones?

Revision as of 03:57, 25 December 2017

Some natural questions arising in Etalocian music theory:

  • Scale construction - Find algorithms for the following.
    • What is the smallest (constant-structure, proper, or some other desirable property) scale that contains a given set (or multiset) of chords?
      • What is the smallest nice scale that allows a given progression?
    • What is the smallest nice scale that contains a path from one root to another via modulations by common tones?