<< O.K., You have talked me into it - I will try a few of your H.T.'s. What book do I have to get that shows the beat-rate relationships between the various intervals when tuned aurally and which H.T. would you recommend for a modern Jazz pianist like myself? hi Clive, Jorgensen's "Tuning the Historical Temperaments By Ear" would be the best place to start. It is probably out of print, but some library, somewhere will have it. I will include a tuning scheme below that will get you started in the unequal tunings. All of the earlier temperments between meantone and ET are really the same form, differing in degree of consonance/dissonance relationships. Good luck, Ed Foote TEMPERAMENT FOR THE 21st CENTURY Ed Foote The following is the 1840 Tuner's Guide Temperament #1 (® Owen Jorgensen 1991). It provides a conservative digression between sweet thirds and some with "energy". There are no checks, you will develop a sense of tonal comparison after you do it and listen a little. 1. tune from the C fork to C5 , then go by the following steps. 2. C5 - C4 Just 3. C4 - G4 temper narrow to approx 1.3 bps 4 G4 - G3 Just 5. G3 - D4 narrow 1.3 bps 6. D4 - A4 narrow 1.3 7 A4 - A3 just 8. A3 - E4 narrow 1.3 Trial chord here is C4-E4-G4-C5 and it should sound beautiful. The C-E will be beating about half normal speed . 9. E4 - B4 narrow by .7 BPS, this is a nicer fifth than those previous! 10 B4 - B3 Just 11. B3 - F#4 narrow by .7 BPS 12 F#4 - F#3 just 13. F#3 - C#4 narrow by .7 BPS 14. C#4 - G#4 Just 15. G#4 - G#3 Just 16. C5 - F4 narrow by 1.3 bps 17. F4 - Bb3 narrow by 1.3 bps 18. Bb3 - Bb4 Just 19. Tune Eb4 to make two identical fifths between Bb-Eb and Ab-Eb. These fifths should be pure, but can stand a little temperament. This tuning provides a varied set of consonances, in the thirds, that follow the amount of key signature. If you modulate by fourths, from C, tonic thirds should increase in size until you reach F#, at which point it will begin heading back toward "home". The art is in getting a smooth progression, with no reversals on the way out or in.
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