Modus (medieval music) "tempus" (corresponding to the modern concept of a measure or bar and referring to the division of "breves" into two or three "semibreves") and "prolatio" (the division of "semibreves" into two or three "minims"). The "modus longarum" was applied primarily to pieces based on a cantus firmus tenor part in long note values. An even longer temporal unit was the "modus maximarum", but it is of little practical importance outside of the 13th century . Modus (medieval music) In medieval music theory, the Latin term modus (meaning "a measure", "standard of measurement", "quantity", "size", "length", or, rendered in English, mode)
Time value of money at future time "n": Summing over all payments from time 1 to time n, then reversing t Note that this is a geometric series, with the initial value being "a" = "C", the multiplicative factor being 1 + "i", with "n" terms. Applying the formula for geometric series, we get The present value of the annuity (PVA) is obtained by simply dividing by formula_19: Another simple and intuitive way to derive the future value of an annuity is to consider an endowment, whose interest is paid as the annuity, and whose principal remains constant. The principal of this hypothetical endowment