On 29 Oct 2013, at 23:26, Clive So <cliv...@gmail.com> wrote:

> I haven't actually dreamt of using key signatures in 31TET.

Microtonal key signatures are used in Persian music, which looks nice, cf. 
Hormoz Farhat, “The Dastgah system in Persian Music”.

> There isn't a working theory of harmony yet, let alone definition of keys in 
> the traditional sense. Also, it is likely that any "key" in 31TET will have 
> more than 7 notes, but since we keep the same 7 "white" notes, key signature 
> simply cannot exist. That is unless we abandon the traditional 7 white notes 
> and redefine it all.

Note that in E31, the rational interval 7/4 is on the augmented 6th, or 25 E31 
tonesteps, whereas the minor 7th is on 26 E31 tonesteps, one E31 tonestep 
higher.

Hans



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