Hi Ed, Thanks so much, I'm an anxiously awaiting trying some of this out! Would you say the Kirnberger is a more mild temperament? - John > Yes, The Young temperament was an ideal of perfect balance, > however, on > the piano, it may be that the 21 cent F#-A# is too much for some. I > used to use > this as an introduction to temperaments for the uninitiated, but found > that > too high a percentage of customers were put off by it. If you want to > try it, > I would suggest that you follow Thomas Young's abreviated version of > instruction as published by Owen Jorgensen. > > "In practice, nearly the same effect (temperament), may be very > simply > produced, by tuning from C to F, Bb, Eb, Ab, Db, Gb, six perfect > fouths; and > again, from C, tune six equally imperfect fifths, (ie, C-G-D-A-E-B-F#) > . This > results in a Valotti that is transposed up a fifth, which leaves C as > the most > consonant key rather than Valotti's F. > Notice that you end up with a Gb when tuning by perfect fourths from > C, and > that same note is an F# when you approach it from C by imperfect > fifths. This > will leave a rather active third between F# and A#, but that will be > the > widest third in the temperament. > > Now, if you would like to excercise control over how strong the > temperament > is, the following is a magical procedure from Jorgensen that allows > the tuner > to make decisions in regard to allotting the dissoannce. > > Tuning To Personal Taste (Jorgensen) > > All fourths are wide or Just, all fifths are narrow or Just > > 1. tune C to fork > 2. tune C4-E4 according to taste (Just or wide) > 3. tune E4 - E3 Just > 4. tune G#3 between E3 & C4 so Ab-C is 1.25 times as fast as E-G# > > Tune the following intervals Just for Well temperament, (or very > slightly > tempered for Victorian if C-E is beating at least 4 bps). > 5. G#3-C#4 > 6. C#4 - F#4 > 7. F#4 - F#3 > 8. Ab3 - Eb4 > 9. Eb4 - Bb3 > > 10. tune D4 between Bb3 & F#4 so D -F# is1.25 times as fast as Bb-D > 11. tune G3 from C4 & D4 so G-C beats 1.3 as fast as G-D > 12. tune A3 from E3 & D4 so A-D beats 1.3 times as fast as E-A > 13. tune B3 between F#3 and E4 so B-E beats 1.3 times as fast as F#-B > > Check > G3-D4 is slower than A3-E4 > G3-C4 is faster than A3-E4 > A3-D4 is faster tahn G3-C4 > > 14. tune F4 from Bb3 & C4 so C-F beats 1.5 times as fast as Bb-F > Beat rates should increase in order from > E3-B3 > Bb3-F4 > B3-F#4 > B3-E4 > E4-A4 > > If steps 5 - 9 are tuned in Just intonation, the C-E third > controls the > harmonic balance. If it is Just, a temperament like Kirnberger(Prinz) > results. > If C-E is tuned faster than 4 bps and less than7 bps, only F#-A# is > 21.5 > cents wide and the results are more "Victorian". > > Enjoy! > > > Ed Foote RPT
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