Alternative analysis of 9000 year-old flute tuning

Using figures from Bill Alves and others, I have analysed the 9000
year-old
flute intervals from a LucyTuned point of view and come to the following
conclusions.

Freq Cents --- step ---- Note Name LucyTuned LucyTuned
Difference
Hz from 880 cents L&s pos LucyTuned L & s cents cents
1816 1254 Bbb bbIX 4L+4s 1254 < 1
cent
314 L+s bIII 314 < 1
cent
1515 940 Gb bbVII 3L+3s 941 < 1
cent
235 2s bbIII 245 -10
cents
1323 706 E V 3L+s 695 +11
cents
207 L II 191 -16
cents
1174 499 D IV 2L+s 505 - 6
cents
341 2L III 381 +40
cents
964 158 Bb bII s 123 +35
cents
158 s bII
880 0 A --- 0
--------

This could give us an alternative perspective on the "stretched" octave.

It looks like pure co-incidence that the higher values come out within
one cent of the values; yet the IV and V seem to be very near to integer
ratios.
I included the bII as although the difference of 35 cents is very large,

this choice produces a "consonant (in my harmonic terms)" scale.

For a clearer display in html see
http://www.harmonics.com/lucy/flutechin.html

--
~===============================================================~
Charles Lucy - lucy@ilhawaii.net (LucyScaleDevelopments)
------------ Promoting global harmony through LucyTuning -------
by setting tuning and harmonic standards for the next millennium,
and having fun with them.

for information on LucyTuning
See http://www.ilhawaii.net/~lucy
or http://www.harmonics.com/lucy/

Hey folks,

Please keep in mind that my attempt to measure the frequencies was very
rough and unscientific. Before any conclusions were made I would hope that
someone with the right equipment would take the time to do it right.

In the meantime, I am going to write to Nature to see if they will cough up
their data. If anyone wants the wavefile, I will send it to them (3.7 megs)

Darren Burgess

> From: Charles Lucy <lucy@ilhawaii.net>
>
> Using figures from Bill Alves and others, I have analysed the 9000
> year-old
> flute intervals from a LucyTuned point of view and come to the following
> conclusions.
>