Re: Orwell

>
> > JI form (some ratios doubtful, 982=7/4???)
> >
> > 1/1 11/10 7/6 9/7 11/8 3/2 8/5 7/4 15/8
>
> All those are correct. You can also have 12/11 as well as 11/10, 14/11
> at the same position as 9/7, and there must be other equivalences I
> didn't spot as I was going through.
>

I think the 8/5 is 18/11...

Bob "very quietly lurking for a long time" Valentine

Bob Valentine wrote:

> I think the 8/5 is 18/11...

Well, I hate break this to you after all this time lurking quietly, but you're wrong. 8/5 is approximated by 3 Orwell generators. 18/11 is generators, so it approximates the same in 9-equal, but not Orwell in general.

The mapping is:

primes 3 5 7 11
gener. 7 -3 8 2

For 8/5, it's -(-3)=3 generators. For 18/11, 2*7-2=12. The mode Mark chose is all positive generators from the tonic. Because it needs more than 9 generators, there can't be an 18:11 anyhere in the 9 note MOS.

Graham