diapente

For just as those trained in the canons of the lyre declare the sesquialter proportion produces the symphony diapente, the double proportion the diapason, the sesquiterte the diatessaron, the slowest of all, so the specialists in Bacchic harmonies have detected three accords between wine and water — Diapente,

Symposiacs 2004

For just as those trained in the canons of the lyre declare the sesquialter proportion produces the symphony diapente, the double proportion the diapason, the sesquiterte the diatessaron, the slowest of all, so the specialists in Bacchic harmonies have detected three accords between wine and water — Diapente,

Essays and Miscellanies 2004

Of these numerical relationships the easiest for the layman to grasp were the Pythagorean intervals of diatesseron (fourth), diapente (fifth), and diapason

Dictionary of the History of Ideas GRETCHEN LUDKE FINNEY 1968

An octave or diapason was represented by the numerical ratio 1: 2, the fifth (diapente) by 2: 3, the fourth (diatesseron) by

Dictionary of the History of Ideas GRETCHEN LUDKE FINNEY 1968

Bodin (p. 455), “which chaunceth when ... you depart farthest from those concords which the Musitions call diatesseron and diapente.”

Dictionary of the History of Ideas GRETCHEN LUDKE FINNEY 1968

It was then tried with speaking: the result was the same: a powerful and perpetual hum, not resonant peculiarly to the diatessaron, the diapente, or the diapason, but making a new variety of continuous fundamental bass.

Gryll Grange Thomas Love Peacock 1825

This order also keeps the analogy of the symphonies, i.e. the proportion of the irascible to the rational (which is placed as hypate) making the diatessaron (or fourth), that of the irascible to the concupiscent (or nete) making the diapente (or fifth), and that of the rational to the concupiscent (as hypate to nete) making an octave or diapason.

Essays and Miscellanies 2004