Here are some sound files for my Nine Note Binary Musical Scale that can be played. Haven't read the essay on Music and this new scale yet? Go here!
SINCE WRITING ALL THIS AND PUBLISHING IT IN MY BOOK, I HAVE DONE SOME
RETHINKING AND REWORKING OF THE FREQUENCIES. THESE NOTES ARE NEW. THEY
ARE ROUNDED OFF FROM EQUAL TEMPERMENT - STILL CLOSE TO WHAT WAS
PREVIOUSLY PUBLISHED, BUT WITH FRACTIONS THAT RESOLVE TO .5, .25, .125,
.0625 ETC. SO THAT HARMONIES ARE MORE PRECISE.
doubt many aficionados of music will reject these tones out of hand as
being an abomination to all music - at least traditional Western
musical notation. But for those who like to explore new and different
things this scale of tones might actually be useful... if anyone were
to ever create an instrument capable of playing them. I can't produce
any such instruments, but for those curious to know just how reasonable
or awful these tones are - by themselves or in comparison to
traditional Western musical notation - here is a set of generic tones
that I generated with a sound application. They won't sound as nice as
any acoustically refined instrument, but they might at least give an
idea of what this new scale sounds like.
two pianos. On the left, each sound file is about one second long, in
order to explore possible melodies. On the right, each sound file is
about seven seconds long. This way several notes can be played at once
for an extended time, in order to seek out harmonies.
Here are some suggestions for harmonies: Use the bottom portion of this chart:
and try playing triads that land on those critical points of harmony -
the 1/4 or 125% mark (counting 5 from the root note), the 1/2 or 150%
mark (counting 4 more or 9 from the root), and the 3/4 or 175% mark
(counting 4 more or 13 from the root note). Then, try some others. Try
using my note 1 with the 4 and 6, (or, move 6 notes from the root and
then 4 more or 10 notes from the root note) which I guess could be
considered an augmented chord? Maybe? I dunno. Then try what I guess
might be considered diminished by using my 1 with the 3 and 5 (or, move
4 notes from the root and then 4 more or 8 from the root note). If you
want to hear a scale that sounds closer to tradition start anywhere,
skip two notes, then hit every other note until you've hit eight, then
move one note to the end.
those wanting to know what note each of these notes is close to in
traditional music, the right hand column of each table has indicators
that are rough approximations.