Greetings,
On occasion, while surfing, I find bits of academic algae stuck to my
board,and this has been hanging around long enough, food for thought, or
fishes..,
Regards,
Ed Foote
>From the tuning list:
On a more serious note about Pythagoras. The 81/64 third is obviously
further 'up the series' than 5/4 but in some ways it's closer than at first
thought possible, via the pentatonic scale:
The corresponding minor third: small by one comma:
6/5 * 80/81 = 2/1 * 16/27 = 32/27 (ol 294cents). This sounds quite
interesting in a pentatonic. (Try the classic oscillating minor third, like
a child's 'see saw dickory daw', 'I'm the king of the castle', or many
other playground chants. (The minor third is the first interval a child can
recognise and sing). The 294cent third is quite tense. See Bartok articles
on folk music for discussion of this property. (Oh and Lendvai - whose
theories I am sure are not a function of the twelve-tone scale, but rather
the mean-tone one).
This PTG archive page provided courtesy of Moy Piano Service, LLC