Thanks for responding, Don. Yes, I'm familiar with the Sanderson and am actually using a variant of it in a C3-B4 temperament that Peter Clark (RPT Sacramento) came up with. I guess I've misunderstood Sanderson's concept, though. The first leap away from an A is step 4: "Divide the A2-A3 octave into three equal parts by tuning C3 and F3. These thirds can be tested very accurately with the contiguous thirds test (see Appendix G). This test states that two contiguous thirds must have relative beat rates in the ratio of 4 to 5, that is 4 beats of the lower one require the same amount of time to complete as 5 beats of the upper one. This test then does not require knowledge of beats per second, only a good sense of rhythm or tempo. In this case, C#3 and F3 are correctly tuned when 4 beats of A2-C#3 occur at the same tempo as 5 beats of C#3-F3, and in addition, 4 beats of C#3-F3 occur at the same tempo as 5 beats of F3-A3." I had assumed you still had to have a "starting place" for F3 or C3, here, but on more careful reading it seems like you just rough them in and start tweaking both of them, kinda simultaneously, until you get your ladder working. Is that the idea? I will have to try it but it seems as though you could go back and forth in many iterations before you nailed it. Is it not that tough? I'm still curious about the P12th D3-A4 bit, though. Is the logic correct or would different pianos require a, shall we say, less-than-perfect 12th? Alan R. Barnard Salem, MO -----Original Message----- From: pianotech-bounces@ptg.org [mailto:pianotech-bounces@ptg.org] On Behalf Of Don Sent: Tuesday, April 05, 2005 8:56 PM To: Pianotech Subject: Re: Hey, Aural Gurus ... Hi Alan, I'll bite. Use a temperament like the Sanderson two octave. You can find it here: http://www.accu-tuner.com/SATIIImanual/apf.html If you do, your question is moot. At 09:23 PM 4/5/2005 -0500, you wrote: > Since most temperaments work well with about 1/2 beat narrow D4-A4 >fifth and likewise with about a 1/2 beat wide D3-D4 octave, if you >tuned D3 to A4 absolutely beatless (at A5) you would have two notes (in >a two octave temperament) that were dead-on and accounting for inharminicity >across the break in most pianos Then, tuning A3 to A4, and D4 to D3 >while checking the fourths and fifths created among those four notes >you'd be pretty confident you had four solidly and rather easily placed notes. > Anything wrong with this? Now, find me a similar exercise for nailing >down F3 or F4 (NOT estimating beat rates) and I'd be one excited camper, >because after that a two octave temperament (C3-B4 for the RPT tuning >test) would be pretty easy. I know I'm trying to reinvent the wheel, >but this business of esti-placing F3, D3, and A#3 without REALLY knowing >their best placement kinda bugs me. At least with D4 you have 4ths and >5ths to listen to, but dang it if the whole structure doesn't depend too >much on getting the "right" width for the A3-A4 octave and then floating in > that F3... Alan R. Barnard Salem, MO got no takers the first time. >Hoping for some now. Sorry if it annoys anyone ... > -- > No virus found in this outgoing message. > Checked by AVG Anti-Virus. > Version: 7.0.308 / Virus Database: 266.9.3 - Release Date: 04/05/2005 > No virus found in this incoming message. Checked by AVG Anti-Virus. >Version: 7.0.308 / Virus Database: 266.9.3 - Release Date: 4/5/2005 Regards, Don Rose, B.Mus., A.M.U.S., A.MUS., R.P.T. Non calor sed umor est qui nobis incommodat mailto:pianotuna@yahoo.com http://us.geocities.com/drpt1948/ 3004 Grant Rd. REGINA, SK, S4S 5G7 306-352-3620 or 1-888-29t-uner _______________________________________________ pianotech list info: https://www.moypiano.com/resources/#archives -- No virus found in this incoming message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.9.3 - Release Date: 04/05/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.9.3 - Release Date: 04/05/2005
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