[CAUT] mean tone tuning- help!

[Ed Sutton]

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


----- Original Message ----- 
From: "Fred Sturm" <fssturm at unm.edu>
To: <caut at ptg.org>
Sent: Tuesday, February 24, 2009 9:25 PM
Subject: Re: [CAUT] mean tone tuning- help!


> Don McKechnie's numbers being different from Chip Miller's, I did a  quick 
> calculation (thanks to Thomas Donahue for giving me the  understanding to 
> be able to do this). The syntonic comma is about 21.5  cents. Hence, 1/7 
> comma is about 3.1 cents, which I round to 3 cents  to make my life 
> easier. Starting with A at 0, and noting that all ET  5ths are already 
> narrow by about 2 cents, I simply tune (virtually)  5ths down from A and 
> up from A until I reach the standard E-flat in  one direction and G# in 
> the other. Results: pretty close to Chip.
> C 3
> C# -4
> D 1
> D# 6
> E -1
> F 4
> F# -3
> G 2
> G# -5
> A 0
> A# 5
> B -2
> C 3
> In spite of this, I'd go with Don's numbers, as they seem to be "from  the 
> horse's mouth" and have satisfied the customer. And they are a bit 
> milder, which is probably a good thing. I'd say they were more like  1/8 
> or 1/9 comma. The wolf 5th is 8 cent wide, as opposed to 11 in my 
> calculation (meaning 2 bps rather than 3 bps). In mine, all M3s are 4 
> cents narrow of ET, all diminished 4ths (the "bad" M3s) are 8 cents  wide 
> of an ET M3. (Note that D# should be named E-flat, A# B-flat). In  Don's 
> (Tim Farey's), the sizes are irregular, which shows pretty  conclusively 
> that it is in error, strictly speaking in mathematical  terms (mean tone 
> is always regular). I am also curious about the F3  +4.5, F4 +2.9 (I would 
> probably peg the input number for F at 3.5, and  let the ETD take care of 
> the stretch). I guess I suspect that TIm did  an aural tuning of this and 
> recorded it. In any case, it is  essentially the right overall shape, and 
> in the ballpark.
> Regards,
> Fred Sturm
> University of New Mexico
> fssturm at unm.edu
>
>
>
> On Feb 24, 2009, at 3:56 PM, Donald McKechnie wrote:
>
>> Aaron,
>>
>> Peter performed twice last year here at IC. Both times I tuned the  1/7th 
>> comma modified mean-tone he requested. I received the numbers  from a 
>> technician out in the mid west who's name I cannot remember.  I put the 
>> numbers in my RCT and all worked well. Peter was very  appreciative.
>>
>> F3 +4.5
>> F# -3.4
>> G +2.2
>> G# -3.7
>> A 0
>> A# +3.7
>> B -1.5
>> C +2.2
>> C# -2.9
>> D +.7
>> D# +4.4
>> E -.7
>> F4 +2.9
>>
>> Don
>
>