Musical sequence

Cl Lenormand claude.lenormand at free.fr
Wed Jan 18 21:24:50 CET 2006


Le 18 janv. 06, à 19:40, David Wilson a écrit :

> Is there a measure of goodness of r that would rate r = 2^(1/12) high? 
> Presumably this rating would be based on the closeness of tone ratios 
> to simple rationals which represent pleasing harmonies.  Given this 
> rating, what would be the best r?  If we return to octave-based 
> scales, could be construct a sequence of t with increasingly better 
> ratings of 2^(1/t), which would represent increasingly good choices 
> for number of tones in an octave?
>

In french:

http://www.ai.univ-paris8.fr/~lenormand/chapitre3/3.7_Divers.pdf

C.L.
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