Landini cadence

I said:
>
>>As in the chromatically adjusted Landini cadence, I presume? A historically
>>unique form of "dominant"/tonic progression, to be sure.

And Paul Erlich responded:
>
> Margo is talking about Gothic music, which predates "dominant/tonic",
> "major/minor", or many other concepts which seem to come from Mother Nature,
> but are in fact unique to our little (imperialistic) corner of space-time.

Of course. That's why my "dominant" is in quotes. I simply meant the the
dissonace of the "major third" resolved to the consonant open fifth.

> In Gothic times, the major third was an unstable sonority, and would
> typically resolve outward (i.e., in contrary motion) to a perfect fifth.
> Following the mathematically ambiguous suggestions of Marchetto and other
> authors, this third may have often been tuned even wider than its nominal
> Pythagorean value, 64:81 = 407.8�. An _extremely_ wide value (even wider
> than the ones which evoked a perfect fourth in your ears when part of a
> triad) would be 7:9 = 435.4�.

Possibly so.

Jerry