Error in Tuning and Temperament

I've found another error in J. Murray Barbour's "Tuning and Temperament."
Table 3 on page 16 is labelled "Eratosthenes' Enharmonic," though the
ratios are those of Ptolemy's enharmonic genus (in the Dorian mode).
I have just noticed that the decimal-fraction sexagesimal string
lengths in the first line are also wrong. They are, in fact, those
of Didymos's enharmonic, 1/1 32/31 16/15 4/3 3/2 48/31 8/5 2/1, though
it is stated on page 21 that "Didymus' enharmonic is not included in
the above tables." As Barbour states on p.21 elsewhere that the
pyknon of Didymos's tuning was "resulting from an arithmetical
division of the 16:15 semitone," this would seem to be a production
error.

The correct decimal-fraction sexagesimal string lengths for
Ptolemy's enharmonic, 1/1 46/45 16/15 4/3 3/2 23/15 8/5 2/1,
are 120.00 117.39 112.50 90.00 80.00 78.26 75.00 60.00 to two
decimal places.

There is another error on p.21, Table 21 where the name of Ptolemy's
Diatonic Homalon is given as Hemiolion.

BTW, the text Harry Partch used was Barbour's dissertation upon which
this book is based.

--John


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