[pianotech] Temperaments

[KeyKat88 at aol.com]

Greetings,
 
       In reading the articles, specifically  Part 1 article in August 2003 
of PTG Journal, of Owen Jorgensen's, he  states there (p32) that:  ..."the 
structure of well temperaments is  that the chords that are most used are tempered 
as harmoniously as  possible...the keys of CM, FM and GM should be tempered 
most pure".  Now reading the charts from rollingball, are the opposite, CM, FM 
and GM have  tempered 5ths and the Black keys' 5ths are tuned pure. Although 
the  article is discussing the C-E in CMajor, the F-A in FMajor and the G-B  in 
GMajor, which are the M3ds of those keys. Is this to say/indicate that  when 
the M3d's are pure the P5ths are to end up tempered?
 
      Why are the P5ths tempered in those (C,  F & G) commonly used keys, yet 
the article states that they should be the  most pure keys? Shouldn't it be 
the opposite? Namely, the black keys be  tempered then?
Am I missing something here?
 
Thanks,
Julia Gottshall
Reading, PA
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