Re: Gis major key signature; Lily's key signature algorithm

[Hans Åberg]

> On 8 Feb 2018, at 15:53, David Kastrup <address@hidden> wrote:
> 
> Hans Åberg <address@hidden> writes:
> 
>>> On 8 Feb 2018, at 13:53, David Kastrup <address@hidden> wrote:
>>> 
>>> Of course, organs are not
>>> really tuned equally tempered even now, but that's not because of a lack
>>> of competence.  
>> 
>> A factor might be the type of partials available: a Mainstage baroque
>> organ patch does not have any partials besides octaves, meaning that
>> it might be tuned quite freely, as opposed to the modern organ patch,
>> which has a full 5-limit spectrum. (These are recording of real
>> organs.)
> 
> That's not really a consideration: the partial pipes are always tuned in
> pure ratios to the main pipes as their function is for tone color rather
> than harmonic.

I meant the tuning of the main stops. One tried baroque tunings on modern 
organs and found it did not sound nice, but it could because the main pipes 
have more partials than on an baroque organ. Some mutation stops can produce 
the 7th partial, but it is probably not used for harmony.