Hello MATHIEU BOUCHARD, 
 MB> Last time I evaluated the number of rings to 346... 
 MB>  
 MB> But this time I think I have empirical proof that there 
 MB> are 351  possible rings (in equal tonality 12). I could do 
 MB> the same thing for other ET's. 
 MB>  
 MB> EQ2     2 
 MB> EQ3     3 
 MB> EQ4     5 
 MB> EQ5     7 
 MB> EQ6     13 
 MB> EQ7     19 
 MB> EQ8     35 
 MB> EQ9     59 
 MB> EQ10    107 
 MB> EQ11    187 
 MB> EQ12    351 
 MB> EQ13    631 
 MB> ... 
 MB>  
 MB> You could try to find a way to calculate these without 
 MB> having to count them all. For EQ24, for example. It would 
 MB> take hours if not years to calculate in BASIC. :) 
Neato. The first few I can verify in my head. What was your 
general approach; permute all scales, then eliminate ones 
which are in same ring? I still haven't figured a way to 
calculate the number directly, without counting. I wonder 
if there actually is a way? Would you care to post your 
code? 
Matt Nathan
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