I am just going to have to keep re-reading this until I get it - preferably with a chart by my hand showing the application of the two nomenclature systems for modes discussed above. It looks as if I will also need the chart I made for myself showing the order of accession of sharps and flats.

I ahve read teh Oxford dictionary of music explanation of modes, and will re-read it, but as I recollect it it assumed that (or at least didn't explain otherwise) modes WERE (ignoring temerament for the purpose) the relationships defined by where on the C major scale you started the ascending set of notes.

End of insomnia now (I hope): 3 am in the UK