Two undivided tetrachords and the disjunctive tone form the framework of the standard Dorian octave. In ratios, the Harmonic Framework is 1/1 4/3 3/2 2/1 or in harmonics, 6:8:9:12.
The reference tone for the Greeks was mese, which should be given the ratio 1:1. Thus, the harmonic framework as described above may be shown on an approximate pitch-height diagram thus:
ratio note
3/2 nete \
\
upper tetrachord
/
9/8 paramese /
> tone of disjunction
1/1 mese \
\
lower tetrachord
/
3/4 hypate /
The tonalsoft.com website is almost entirely the work of one person: me, Joe Monzo. Please reward me for my knowledge and effort by choosing your preferred level of financial support. Thank you.