--- 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
> > >
Actually i realized that on my on piano in the absoute-pitches:
> >
starting in chromatically order from:
http://en.wikipedia.org/wiki/Middle_C
Tenor-C:
> 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
>
> I didn't intend any particular absolute pitches when giving these
> ratios.
I.m.h.o. any tuning for a conrete instrument
appears to me as yet incomplete,
if the start pitch is lacking,
when intervals are given barely in relative ratios alone,
without definition of any concrete reference-tone intension,
that can be deduced from an absoute fixed standard normal-pitch:
alike:
http://en.wikipedia.org/wiki/A440
(in german:)
http://de.wikipedia.org/wiki/Kammerton
> I expected that you would use whatever pitch reference you
> like.
Hence for your's tuning i do prefer the correspoding above:
http://upload.wikimedia.org/wikipedia/commons/d/d7/445.ogg
That beats againt the normal with
5Hz := 445Hz - 440Hz sharper
or with
300 Metronome beats = 5Hz *60 beats/min
synchrone to an
http://en.wikipedia.org/wiki/Metronome
445HZ was broadly used by my friend:
the late
http://en.wikipedia.org/wiki/Herbert_von_Karajan
critziesed by
http://en.wikipedia.org/wiki/Andr%C3%A1s_Schiff
in
http://www.schillerinstitute.org/fid_02-06/021-2schiff.html
"For example, his fight against the absurdly high "Karajan-tuning,"
which he broadened with a new battle on the sidelines of the last
Salzburg Festival. Because of his invitation, members of the Berlin
and Vienna Philaharmonics (both of which orchestras play at extremely
high pitch, even above A=445 Hz) ,as well as opera singers, and even
conductors,...."
On which conrete pitch for a'=44?Hz
do you would realize yours above temperament
on yours own personal piano?
Sincerely
A.S.