source file: m1488.txt Date: Wed, 29 Jul 1998 14:47:02 -0700 (PDT) Subject: Post from Dave Hill From: John Chalmers Re: A Wolf with a Difference Tuning 1486 I found the post by Margo Schulter re the 15 century wolf cadence most interesting, and inspired by this while fooling around on a just intonation piano, which I am growing to like more and more, I just now observed the following: The b - fsharp - d resolving chord with the wide fourth between b and fsharp is nearly the same as the wolf D minor chord which occurs with a twelve per octave keyboard tuned to a just scale on C. In first inversion, this chord from d down to a down to f has the d to a fourth wide from just by a 21.5 cent comma, while the interval from f to a is a just 5/4 major third. In the song My Country tis of Thee - God Save the Queen, which begins C C D B C D, the first two notes are harmonized with C major and the third note would normally be harmonized with D minor. On my piano, which I am here translating to the terms of the just scale on C, the D minor chord sounds bad if played with a D in the bass, but if the F is played in the bass, that D minor chord sounds all right to me - not perfectly consonant, but not egregiously out of tune, and possibly as effective musically as it would sound if a lowered D were used or raised F and A so that the chord would be a just minor triad. I cannot try out the just minor chord now, but will do so at some point and then be able to compare their sounds to see whether a just minor D chord would sound still better at this point. I had not realized that by putting the third in the bass it might be possible to use a minor II chord without having the dissonant fourth detract excessively from its effect. I just now tried this with a major II chord and, although putting the Fsharp in the bass somewhat reduced the dissonance, to me the chord still sounded very dissonant and not likely to be frequently usable. When played side by side, the minor II chord with F in the bass sounded much more solid and reasonable to me than did the major II chord. Dave Hill, La Mesa, CA ------------------------------ End of TUNING Digest 1488 *************************