Am Sonntag, 13. Mai 2018 19:18 CEST, Martin Shepherd <mar...@luteshop.co.uk> schrieb: > Given the tone of the debate so far, I didn't want to get mixed up in it > (I still don't), but I have to say that in any conceivable temperament > the unisons and octaves will be pure.
;-) I was just about to write the same - but unisons/octaves don't generate scales - you can't combine them to reach new pitches. I guess Rainer was refering to Stephan's original statement which includes _setting frets_ and that doesn't work unless you use equal temprament. Cheers, RalfD > > M > > On 13/05/2018 19:11, Rainer wrote: > > On 13.05.2018 17:03, stephan.olbertz wrote: > >> I don't understand how the practical side of lute temperaments would > >> depent on calculating anything. You can just set a fourth fret > >> you like > >> and set all other frets by ear via unisons and octaves. No need to > >> count beats either. > > > > You cannot tune in any temperament except equal temperament by unisons > > and octaves. > > > > This can be shown with a little trivial linear algebra. > > > > Rainer > > > > > > > > To get on or off this list see list information at > > http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html > > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > >
