--- In tuning@yahoogroups.com, "George D. Secor" <gdsecor@...> wrote:
>
> A=440 is my preference. (I see no reason why the frequencies of all
> of the pitches should be exact integers.) With most well-
> temperaments C will be higher in pitch than in 12-equal with A=440;
> for the rationalized Dent-Young-Neidhardt C will be ~262.5 Hz.
>
at the moment i do prefer
from Werckmeister's septenarian comma versus the SC

81/80 = (99/98)*(441/440)

divided into 3 epimoric subparts:

99/98 = (297/296)*(296/295)*(295/294)

tempering the 5ths G-D-A-E flattend by the corresponding amounts:

G 296/297 D 295/296 A 294/295 E

yielding on the violin empty stings the absolute pitches:

g3: 198 cps = 99*2 := 220*(9/10) a minor-tone below a3=440Hz/2
d4: 296
a4: 442.5 := 885/2
e5: 631.5 := 1323/2

as subset of the tuning procedere in 5ths on my piano:

C: 523Hz (>522 264 132 66 33) 'tenoor-C'
G: 99 (((> 98 49=7*7 overtaken from Werckmeister's "septenarius")))
D: (297>) 296 (>295 (>294 147=49*3)
A: 885 (>882 441=49*9)
E: 1323 = 49*27
B: (49*81 = 3969>) 3968 ... 496...31 through all 7 'B's on the keys
F# 93
C# 279 a semitone above 'middle-C'
G# 837
Eb 2511
Bb (7533>) 7532 3716 1883
F: (5649>) 5648 2824 1412 706 353
C: (1059>) 1058 529 = 23^2 cycle returend back to the above 'tenor-C'

!sparschuhPiano.scl
!
from Andreas Sparschuh's violin strings G 296/297 D 295/296 A 294/295
12
!
558/523 ! C#
598/523 ! D
628/523 ! Eb
1323/1058 ! E = 661.5/523
706/523 ! F
724/523 ! F#
792/523 ! G
837/523 ! G#
885/523 ! A absolute 442.5Hz
1883/1058 ! Bb = 941.5/523
992/523 ! B
2/1
!

have a lot of fun with that
A.S