P 12ths from June 2002

[Ric Brekne]

Anyone following Bernhards posts and the charges he has made should be 
aware of the following. This post comes from June 2002, and clearly 
touches on my most recent description of how I construct a P 12ths 
curve. Bernhards first comments that I can find in the archives on this 
subject matter come 2 years after in June 2004.

I had prior to that time only heard of Bernhard though his website 
offering an earlier version of Mensurix.  That, and a graphic about 
soundboard vibrational modes was the only thing I found on his website, 
which was nearly all in german... which I do not read.

RicB


  A Different Temperament / Tuning Approach

*Richard Brekne * richard.brekne@grieg.uib.no 
<mailto:richard.brekne%40grieg.uib.no>
/Tue, 11 Jun 2002 23:20:57 +0200/

    * Previous message: A Different Temperament / Tuning Approach
      <https://www.moypiano.com/ptg/pianotech.php/2002-June/110996.html>
    * Next message: A Different Temperament / Tuning Approach
      <https://www.moypiano.com/ptg/pianotech.php/2002-June/111142.html>
    * *Messages sorted by:* [ date ]
      <https://www.moypiano.com/ptg/pianotech.php/2002-June/date.html#111126>
      [ thread ]
      <https://www.moypiano.com/ptg/pianotech.php/2002-June/thread.html#111126>
      [ subject ]
      <https://www.moypiano.com/ptg/pianotech.php/2002-June/subject.html#111126>
      [ author ]
      <https://www.moypiano.com/ptg/pianotech.php/2002-June/author.html#111126>

------------------------------------------------------------------------

 Bradley, Jason, and Mike..

Thought I might update you a bit. Mike went and graphed the data I posted the
other day showing the comparison between RCT's curve and what I came up with.
Course mine was based on a simple linear spaceing of the range D3 to A4 which
was itself tuned as a perfect 12th. 

Today I took the same perfect 12th, and then set A3 such that it was slowed
relative to D3, and just a bit wider relative to A4. Turned out about 0.3 bps
against D3 and somewhere in between a 6:3 and a 4:2 octave with A4. Then
instead of useing Tunelabs 2 point linear curve for the 12th, I used all three
frequencies (again read in from the 3rd partial of each) and used the 3 point
quadratic interpolation Robert Scott built into Tunelab 97.

This results in the same kind of basic curve that the RCT creates, and since
notes outside the temperament are all tuned as perfect 12ths the curve just
continues much in the same manner as the linear curve did, but with a smoother
bend around A4.

Bradley's graphing of how this would affect the different octave types would be
interesting to see. I bet the results would be a bit different, same basic
tendencies but curves bent a bit differently. Since his curves are theoretical
based on measured inharmonicities I'll leave it to him to repeat the graph if
he has time.

I will try later on this week to measure a piano tuned thus note for note. I
will also try and post the 3rd partials numbers I have from todays tuning, a
brand spanking new Steinway D at Edvard Griegs home and museum that was to be
used for a masters degree concert this evening. 

Cheers

RicB

Richard Brekne
RPT NPTF
Griegakadamiet UiB