--- In tuning@yahoogroups.com, "George D. Secor" <gdsecor@...> wrote:
Hi George, Tom & all others,
>
> ! Dent-YN-RWT.scl
> !
> Tom Dent's Young-Neidhardt well-temperament (rationalized by G. Secor)
> 12
> !
> 560/531 ! C#
> 2643/2360 ! D
> 70/59 ! Eb
> 74/59 ! E
> 315/236 ! F
> 1329/944 ! F#
> 883/590 ! G
> 280/177 ! G#
> 890/531 ! A
> 105/59 ! A#
> 887/472 ! B
> 2/1
>
Did you mean by that following corresponding absolute pitches,
or which other frequncies had you concrete in mind when
creating that particular one by the factor 59?
C: 531 := 59*9
C# 560 280 140 70 35 = 7*5
D: 594.675 := 264.3*9/4
Eb 630 315 = 7*5*9
E: 666 333 = 37*9
F: 708 354 177 = 59*3
F# 747.625 = 1329*9/16
G: 794.7 = 88.3*9
G# 840 = 240*3
A: 890 445Hz ? probably yours intend A4=445 cps ?
Bb 945 = 105*9
B: 997.875 = 887*9/8
Hence i do agree with your's observation:
> The brats aren't nearly as simple as with the harmonic temperaments
> we've been looking at lately, but OTOH the fifths are much more
> consistent in size (all tempered <4 cents).
>
Sincerely
A.S.