Monz requested - L & s definitions - here they are.

My first use of L and s, for Large and small intervals was in from
"Pitch, Pi, and Other Musical Paradoxes".

John 'Longitude' Harrison referred to the "Larger" and "lesser" "notes",
which I translated as Large (L) and small (s)
intervals.

An easy way to visualise the Large and small intervals is to view the
white notes on a conventional piano keyboard.
The Large intervals are between white notes seperated by a black note.
C-D; D-E; F-G; G-A; and A-B.
The small intervals are between adjacent white notes. E-F; and B-C.

5L + 2s = one octave.

The principle may be applied to any meantone type tuning, and most et
systems, using the appropriate values for L and s.
All intervals may be described in terms of plus or minus Large and small
intervals

The Large interval (L) is the "wholetone" (IInd).
In LucyTuning specifically the ratio is 2^(1/(2*pi) = 1.116633 or "the
two pi root of two"
That is 1200/(2*pi) cents = 190.9858 cents.

The small interval (s) is half the difference between 5 Large intervals
and one octave.
The small interval (s) is the "flat second" (bIInd).
In LucyTuning specifically the ratio is (2/(2^(1/(2*pi)))^5)^(1/2) =
1.073344
That is s= 122.5354 cents.

Details for the use of L&s in LucyTuning may be found at
http://www.harmonics.com/lucy/lsd/chap1.html
and the same principle applied to other tuning systems may be found at
http://www.harmonics.com/lsd/meanet.html

BTW For UK and European Channel 4 viewers, the trailers are now running
for the
"Longitude" millenium special starring Jemery Irons for broadcast at the
end of the month.
This is a dramatisation of the 1920's research into John "Longitude'
Harrison's work.
--
~===============================================================~
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/