| | Marchettus of Padua's tuning and Gothic cadential aesthetics, by Margo Schulter |
 | | One voice moves by what Mark Lindley[1] has aptly called an "incisive" limma of 90 cents, and the other by a generous 204-cent whole-tone (9:8). |
 | | In the 1/5-tone reading, this normal semitone would be equal to 2/5-tone or ~81.56 cents; in the 1/9-tone reading, it might be equal to two "parts" of 2/9-tone each, thus yielding a 4/9-tone interval (~90.63 cents) virtually identical to the usual Pythagorean limma of ~90.22 cents). |
 | | If we take his "enharmonic" and "diatonic" semitones as essentially equivalent to the Pythagorean limma and apotome, then his narrow cadential leading-tone might be somewhat narrower than the usual 90-cent limma but not quite so narrow as 1/5-tone or 2/9-tone. |
| sonic-arts.org /td/schulter/sch-mar.htm (1924 words) |