John Farey's 1806 middel-unit 3^37/25/2^54, rediscovered as "Monzisma"

Mark Lindley reports about that in his book:
"Stimmung & Temperatur"
'Tuning and Temperament'
ISBN 3-534-01206-2 Vol. #6, pp.317-319
series "Geschichte der Musiktheory"
'Histroy of music-theory'

http://en.wikipedia.org/wiki/John_Farey,_Sr.

Lindley's footnote 455 refers to:
Farey, John
On Music, The Philos. Mag. #26, 1806, pp. 171-176
"...for nearly every practical purpose of Harmonics..."

Farey composes there all usual 5-limit intervals based
on 3 units by adding exponents.
That works alike in modern "2,3,5-Monzos":

1. SIGMA=schisma: 5*3^8/2^15 ~~ 2 Cents~~ 'big-unit'

2. middle-unit: "f":= 3^37/25/2^54 ~~ 2/7 Cents~~

3. tiny-unit: "m":= 5^12*3^84/2^161 ~~ 1/65 Cents~~

the last 'tiny' one he got from
the quotient of the Syntonic-Comma 81/80
over 11 schismata:

(5*2^4/3^4) * (5*3^8/2^15)^11
= (5^(1+11)*3^(8*11)*2^4) / (3^4*2^(15*11)
= 5^12*3^84/2^161

also found in reference:
footnote 449, p 319:
Farey, John
'On Different Modes of Expressing
the magnitudes and Relations of Musical Intervals'
in
American Journal of Science 2, 1820, p.74

In practice he judged it is sufficient to calculate
barely with the Schisma alone, while neglecting the
other 2 almost vanishing ones.
He considered that as exact enough in human precision.

So far about unearthing an early usage of a modern rediscovery:
http://www.xs4all.nl/~huygensf/doc/intervals.html
"450359962737049600/450283905890997363 monzisma"
http://tonalsoft.com/enc/m/monzisma.aspx

A.S.