RE: [tuning] Re: More sweet Mozart

So, if I'm understanding correctly, John deLaubenfels' COFT which makes
Mozart's K616 sound almost just comes out with the following fifths:

Ab
693.6
Eb
695.6
Bb
701.1
F
699.4
C
699.3
G
693.2
D
695.9
A
698.6
E
698.5
B
694.9
F#
709.4
C#(Db)
720.4
Ab

Fascinating! Anyone see any similarities to any recorded historical tuning?
I would guess, from this result, that the piece (which is in F) has no G#s,
but has both C#s and Dbs, with C#s predominating. Anyone have access to
Mozart's original notation of this piece?

I would also surmise that Ab-Eb and G-D occur quite rarely as
simultaneities, with B-F# somewhat rare too and Eb-Bb and D-A uncommon as
well. Meanwhile, all major thirds from Ab-C through D-F# are all quite pure,
except Bb-D @393¢ and Eb-G @395.5¢ (these major thirds must appear less
often in the harmonies of the piece).

The benefit over a straight meantone is quite tangible in the increased
purity of the more-used fifths.

I wrote,

>>The benefit over a straight meantone is quite tangible in the increased
>>purity of the more-used fifths.

John deLaubenfels wrote,

>Since posting these results I've added code to the program to quantify
>the "pain" of a number of 12-note fixed tunings. Some numbers:

> 5-limit COFT 94059.211

> 12-tET 262051.252

> 31-tET subset: Db thru F# 167045.100

> 31-tET subset: Ab thru C# 133869.159

> 31-tET subset: Eb thru G# 207664.471

> 31-tET subset: Bb thru D# 259414.234

Clearly, the COFT wins here because it compromises the tuning of note 2
between C# and Db. What would be interesting is if you could distinguish the
D-flats from the C-sharps and use a 13-tone, rather than 12-tone, subset of
31-tET. That might come out better than a 12-tone COFT, but it might not,
since a subset 31-tET still fails to distinguish between the much-used and
little-used fifths (not counting the wolf). Of course, a 13-tone COFT would
do better than either, and might be so smooth-sounding that a subsequent
adaptive relaxation might not even result in an audible improvement.