[CAUT] Werkmeister in Jorgensen

Fred Sturm fssturm at unm.edu
Tue Aug 15 16:50:41 MDT 2006


	Strangely this very common temperament doesn't seem to be in  
Jorgenson's Tuning (sometimes his indexing can be frustrating, so I  
could have missed it). However, I'll confirm the figures Ken gives  
based on a couple other sources. Interestingly, Chip Miller's web  
site (Chip worked with Avery Todd on temperament stuff, and did an  
amazing compilation of temperament offsets at http://www.pianolit.com/ 
tuning/) has completely different figures. I have found his stuff  
very accurate until this one. Chip lists his source as Barbour (J  
Murray, Tuning and Temperaments) which seems to have disappeared from  
our library.  Hmmm, always check everything. Someone made a mistake,  
between Chip and J Murray I think. Another good website for  
temperament offsets is http://www.katsurashareware.com/temperaments/ 
temperaments.html.
	While looking on the shelf (I badly needed a break from pitch  
lowering) I ran across a new book on the topic, A Guide to Musical  
Temperament, by Thomas Donahue, Scare Crow Press, 2005. Looks like a  
great reference book. Well-organized, and lots of background  
information and the data needed to figure things out yourself if you  
are so inclined.
	Aural instructions, minimized:
CF, FA#, A#D#, D#G#,G#C#, C#F# all pure 5ths or 4ths. FA 2 bps. AE  
pure. EB pure (which makes BF# wide 2 bps). You've got D and G left  
to tune.
Tune DA wide P4 about 2 bps. GD narrow P5 1.5 bps, and CG should be  
wide P4 2 bps. Check FA, CE, DA, GD, CG, BF# all beat about the same  
(1.5 to 2 bps).
	It's a very simple temperament, with 8 pure 5th/4ths, 4 tempered  
ones. Tune pure 4th/5ths down through the circle of 5ths from C to  
F#, then a wide tempered 4th to B, then two more pure 4th/5ths, then  
three wide/narrow tempered.
Regards,
Fred Sturm
University of New Mexico
fssturm at unm.edu



On Aug 15, 2006, at 2:37 PM, Jeff Tanner wrote:

> These are also in Appendix B of the SAT III Operating Manual,  
> except rounded to one decimal point.  Temperament 13 is  
> preprogrammed to Werckmeister with the same offsets below.
> Jeff T
>
>
> On Aug 15, 2006, at 3:28 PM, Ken Zahringer wrote:
>
>> I don’t have Tuning, but the Werckmeister III is in my Verituner,  
>> and Dave Carpenter said he got all his data from Jorgensen.  The  
>> offsets I have are:
>>
>> A   0.00
>> A#  +7.82
>> B   +3.91
>> C   +11.73
>> C#  +1.96
>> D   +3.91
>> D#  +5.87
>> E   +1.96
>> F   +9.78
>> F#  0.00
>> G   +7.82
>> G#  +3.91
>>
>> Hope this helps,
>> Ken Z.
>>
>>
>> On 8/15/06 1:12 PM, "Becker, Lawrence (beckerlr)"  
>> <BECKERLR at UCMAIL.UC.EDU> wrote:
>>
>>> Does anyone know if Jorgensen gives instructions and/or offsets  
>>> for tuning Werkmeister III in Tuning?  I can’t find it from the  
>>> indices.
>>>
>>> Thanks in advance
>>>
>>> Lawrence Becker, RPT
>>> Piano Technician
>>> College-Conservatory of Music
>>> University of Cincinnati
>>>
>>>
>>
>>
>> -- 
>> Ken Zahringer, RPT
>> Piano Technician
>> MU School of Music
>> 297 Fine Arts
>> 882-1202
>> cell 489-7529
>

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