[CAUT] mean tone tuning- help!

Donald McKechnie dmckech at ithaca.edu
Wed Feb 25 09:30:39 PST 2009


I cannot put my hands on the letter I received from Tim but the first  
3 numbers Ed sent do make more sense than what I have. Thanks Fred!

Don

Donald McKechnie
Piano Technician
Ithaca College
dmckech at ithaca.edu
607.274.3908


> From: Fred Sturm <fssturm at unm.edu>
> Date: February 24, 2009 11:38:19 PM EST
> To: caut University Technicians <caut at ptg.org>
> Subject: Re: [CAUT] mean tone tuning- help!
> Reply-To: caut at ptg.org
>
>
> On Feb 24, 2009, at 9:12 PM, Ed Sutton wrote:
>
>> Tim Farley is the technician who introduced Peter Serkin to 1/7th  
>> comma meantone.
>> The following offsets were sent to me by Tim Farley.     Ed S.
>>
>> F +2.9
>> F# -2.2
>> G +1.5
>> G# -3.7
>> A 0.0
>> Bb +3.7
>> B -1.5
>> C +2.2
>> C# -2.9
>> D +0.7
>> Eb +4.4
>> E -0.7
>> F +2.9
>
>
> 	These are more regular than Don's (three different numbers),  
> yielding "good M3s" 2.9 - 3.0 cents narrower than ET, "bad M3s" 5.8  
> - 5.9 cents wider than ET, 5ths about 0.7 cents narrower than ET,  
> and a wolf 8.1 cents wider. Again, I'd call it 1/8 (to myself), and  
> I'd certainly use it. I think a true 1/7 comma wouldn't be good for  
> his repertoire - wolf and bad M3s too noticeable. If he likes the  
> 1/8 comma, I'm not going to quarrel with him <G>.
>
> 	It just occurred to me I had a document from Bill Bremmer on mild  
> mean tone. It confirms what I have been saying. The 1/8 comma  
> figures are almost exactly what Tim Farley provided. (I hope the  
> chart following translates okay. It is a copy and paste from a Word  
> document, so it may screw up in many email programs. In any case, it  
> shows offsets for 1/7 comma the same as what I calculated, and 1/8  
> comma within 0.1 cent of what Farley provided). Perhaps somebody  
> should tell Peter Serkin. Or perhaps not.
> Note
> -3.0 5ths (1/7 Comma Meantone)
> -2.7 5ths (1/8 Comma Meantone)
> C
> +3.0
> +2.1
> C#
> -4.0
> -2.8
> D
> +1.0
> +0.7
> D#
> +6.0
> +4.2
> E
> -1.0
> -0.7
> F
> +4.0
> +2.8
> F#
> -3.0
> -2.1
> G
> +2.0
> +1.4
> G#
> -5.0
> -3.5
> A
>   0.0
>   0.0
> A#
>   5.0
>  +3.5
> B
> -2.0
> -1.4
> 	
> Regards,
> Fred Sturm
> University of New Mexico
> fssturm at unm.edu
>



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