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Modified 1/6 comma circular harpsichord tuning

🔗Tom Dent <stringph@gmail.com>

3/23/2006 10:31:57 AM

Here is a suggestion if you would like to start from a base of 1/6
comma in central keys (as in 55EDO) and achieve a tuning which:

1) has no wolf fifth, in fact no fifth worse than 1/6 comma
2) allows all accidentals to be used enharmonically
3) has a wide range of different key characteristics produced by the
different purity of thirds
4) which correspond to what was commonly expected in the late Baroque.

... in other words probably quite close to what Telemann expected his
readers to be doing.

All fifths F-C-G-D-A-E-B are 1/6 Pythagorean comma flat. B-F#-C# are
1/12 PC flat as in 12EDO. C#-G#-D# pure. D#-Bb-F 1/12 PC sharp to
close the circle.

Easily written in cents:

C 0
G 698
D 196
A 894
E 392
B 1090
F# 590
C# 90
G# 792
D# 294
Bb 998
F 502

Probably won't work so well for much Bach though.

~~~T~~~