Re: [MMM] Re: 11 from 19 and tuning

Hey Gene!
What would be the scale he used in Cents. So often things are discovered
by accidents and since he liked the sound of the scale enough to write
something in it, it would be nice to see!

Gene Ward Smith wrote:

> --- In MakeMicroMusic@yahoogroups.com, "microtonalist"
> <mark.gould@a...> wrote:
>
> > where nn is in the range -128 to 127. So if you set the maxx range
> of the pitch
> > bend to 1 semitone up and down, you get 2 semitones divided into 255
> parts,
> > which is not a brilliant accuracy.
>
> Ah ha! Your 11-note scale in terms of midi note numbers and pitch bends is
>
> [[61,6528], [62,8576], [63,10752],[65, 9856], [64, 7808], [66,10972],
> [68,6016], [69,8192], [70,5120], [71,7296], [72, 9472]]
>
> If you look at the second note of each pair, they are all divisible by
> 128 = 2^7 except for [66, 10972]. I still don't get why you can't come
> a lot closer to the fifth of 19 equal, however; one of your notes is
> [71, 7296], and that is as close as you can come using pitch bends
> divisible by 128 (course pitch bends only, or 1536 equal) to a 19-et
> fifth over [64, 8192]; this would be great except that [64, 8192]
> isn't in your scale.
>
> but unless anyone has better experience with
> > Sib v.3 and microtones and Roland Soundcanvases, to achieve better
> > intonation results, it's all I can do. Deviations from *exact*
> 19equal are
> > products of the technology not impure compositional thinking.
>
> > I anyone can produce a rendition using the exact implied tuning, I'd be
> > interested to hear also.
>
> I could change it to 19 equal easily enough, and I suspect if I do it
> will, after all, turn out to be semisixths.
>
> To suggest that I was using a different tuning by
> > analysing an electronic performance is incorrect - and in any case I
> suspect
> > any real acoustic performance on two real recorders will have
> deviations far
> > worse than my electronic ones, so the discussion vis a vis accuracy
> is largely
> > moot.
>
> I'm simply reporting on the tuning as it exists in your midi file.
>
>

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