A Different Temperament / Tuning Approach

[Bradley M. Snook]

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This is the chart that I did to go along with the calculations; ignore the other attachment, I attached the wrong file.

Bradley M. Snook




----- Original Message ----- 
From: "Richard Brekne" <richard.brekne@grieg.uib.no>
To: "PTG" <pianotech@ptg.org>
Sent: Saturday, June 08, 2002 12:30 PM
Subject: Re: A Different Temperament / Tuning Approach


> 
> 
>  Bradley M. Snook wrote:
> 
> >It took me a while, but was able to run through some of the numbers; if
> >you
> >are interested I can give you my results from A4-C7.
> >
> >The difference between 3:1 and 2:1 is not that much, but it does add a
> >small
> >amount of "extra" stretch to the overall temperament. Why do you feel that
> >this small amount of stretch past a 2:1 octave is helpful? 
> 
> Well, its not so much that I think stretching past a 2:1 octave is helpful or
> not.... as it is that I think that making the 12th perfect is desirable, and
> doesnt sacrifice enough relative to any octave type to worry about. 
> 
> Further it seems, and I underline seems as I am just starting to really pick
> this idea apart myself, that tuning the whole piano this way keeps the
> differeing octave types in a very nice and consistant relationship. And I have
> from almost day one (from my first experiences with ETD's) liked the idea of
> directly referencing a pianos built in inharmonicity.
> 
> 
> >Using your
> >method
> >with my piano, I get a .190 total beatrate and a +0.3729 cent additional
> >stretch at A4-A5; at C7-C8 I get a 3.819 beatrate with a +1.5476 cent
> >additional stretch. It is an interesting approach, but I'm not sure that it
> >is a good idea to sacrifice the sound of a single octave like that.
> 
> I am unfamiliar with what you mean by  0.190 total beatrate, or 3.819 beatrate.
> How is this quantity calculated and what does it represent. As far as the
> stretch is concerned, could you tell me what tuning scheme you are comparing
> this method against ? Are you useing RCT and if so what OT. 
> 
> >
> >I personally do add a very small amount of "extra" stretch to my single
> >octaves (past that of a non-beating 2:1). But for me, I feel I get a better
> >result by balancing the sound of a 2:1/4:1 single octave. In addition to
> >closer coinciding overtones, this method also allows for a better sounding
> >double octaves.
> 
> I gotta admit that there is a slight roll in the basic feel of the Octaves when
> keeping all 12ths pure. But then I was really suprised when doing the note for
> note check against RCT's calculated curve for this just tuned piano. Like I
> said in my last almost all the notes showed some blush, and those that didnt
> had only slight movement one way or the other in the spinner. 
> 
> You may be right about "better sounding double octaves" or this may really
> belong in the realm of personal tastes....as perhaps may my taste for the
> perfect 12th. But the real point of this excercise for me is to pick apart the
> whole process of calculated tuning curves... what they really are and what else
> can be done. On the surface of it it appears that this method presents a really
> easy way of tuning that results in a very pleasing result with its own
> character. And it also seems like it creates very much this same character
> regardless of the piano.
> 
> Grin... I'll know more when I do :)
> 
> >
> >Bradley M. Snook
> 
> Thanks for the interesting reply Bradley 
> 
> Cheers
> RicB
> Richard Brekne
> RPT NPTF
> Griegakadamiet UiB
> 

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