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OT CHAT Re: Non-Human Phonology

From:Roger Mills <rfmilly@...>
Date:Monday, December 4, 2006, 21:25
Carsten Becker wrote:
> > An easier way to determine a tritone is to have a look at > the cycle of fifths (I hope it'll get through correctly): > > C > F | G > Bb | D > Eb -------+------- A > Ab | E > Db Gb B > F# > > As you can see, F and B are on opposite sites (11 and 5 > o'clock respectively), so you've got a tritone there. >
Love your little chart!! This is probably obvious to everyone, but I find it interesting: Any note at X o'clock, plus the note at (X +/- 6) o'clock, makes a tritone. (At least, in standard piano tuning) Given a tritone, if you raise the top note 1/2 step and lower the bottom tone 1/2 step, you resolve to a major chord; this is because, of course, the tritone contains 2 of the 4 notes of a Dom7, which of course resolves to Tonic. C-F# (D7)> B-G (G) // F#-C > F-C#/Db > C#/Db (and note that the new tonic notes also make tritone: G--C#/Db, what fun) Ab-D (Bb7) > G-Eb (Eb) // D-Ab/G#> Db/C#-A (A) etc. etc. etc. (Had to go to the piano to be sure :-))) I assume this is also a well-known fact: The difference between any two consecutive perfect squares is equal to (1*) the sum of their sq.roots (I.e. 36-25 = 11 = 6+5 The difference between the square of x^2 and (x+2)^2 is 2* (the sum of x+x+2) ( 64-36 = 28 = 2*(8+6) and so on up. Not sure this is useful knowledge :-)))


Mark J. Reed <markjreed@...>