<< 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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