Jon writes: << Your offsets do not jive with the site: http://www.larips.com/ >> Damn right! Mea dumbly culpa. What I inadvertantly did was post the offsets for the temperament that J. Charles Francis derived from Bach's Signet Ring Seal of 1722 ! ( so much for keeping one file of all the "Bach" tunings). We may profit from comparing this to the Lehman tuning found on the Larips.com site. And if we are to go even farther with this, the "Barnes" tuning that was derived from a statistical examination of Bach's usage is also worth considering, though it appears to have less harmonic distortion, thus, falling closer to a "normal" well-temperament. (Thanks to Paul Bailey for pointing out more resources than I would have thought to have included). The Lehman offsets are: C 5.9 C# 3.9 D 2 D# 3.9 E -2 F 7.8 F# 2 G 3.9 G# 3.9 A 0.0 A# 3.9 B 0.0 C 5.9 The Lehman tuning contains more contrast, however, if examined from a standpoint of syncronicity,(m3/M3), I think we see that there is greater correlation in the more highly tempered keys of the Lehman, which may effectively reduce some of the perceived "busyness" of those keys. Jason's pictures on the Rollingball site are the logical place to research this. The more important point is that there is much to be learned about Bach's music by playing it in these tunings. While tuners may find profundity in the difference, it will be a rare pianist that can distinguish between the Lehman and the Francis tunings without side by side comparisons, or extensive experience with either before trying the alternative. Sorry for the mis-information, Regards, Ed Foote RPT http://www.uk-piano.org/edfoote/index.html www.uk-piano.org/edfoote/well_tempered_piano.html
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