FIFTH, in Music, is the numeral designation of an in terval, consisting of 5 diatonic degrees, including the low est and highest of these; but besides the intervals that can properly come under this denomination, a wider range has been improperly taken by various writers, in giving the name of Fifth, usually with some prefix, to several differ ent intervals ; and mistakes therein can only be avoided by the musical student, by taking the complete view of them, that we have endeavoured to present below, in alphabetical order, viz,.
Bearing FIFTH, or sometimes Redundant Fifth, of Hol der is an interval whose ratio is -1-1 = 371.947096 + 7f+ 32 m, and its common logarithm Comma-deficient Major FIFTH (V`), has the ratio 27 402 s53 = 347E + 7f + 30 m, its log. = .8293037,7283, = 567042 x VIII, = 31.639526 c ;= V --e,= 5 —,11, 4 + t, = VI — II,=7-3,=T + 2 t + S,= 2 T+ t +L, =7 f + 16E + 12 I ; =2-4ths-3rd ; by which last it may be tuned on an organ, &c. This interval has like
wise been called the Grave Fifth by Maxwell and Liston, the Less Fifth by Holder, and the Deficient Fifth, by Cham bers, Holder, &c.
729 Comma-drficient Minor FIFTH (s'), has the ratio 1021 = 300 E + 6 f + 26 m, its log.= 852,4275,7167, 2" = — = .490228 x VIII, = 27.35340 X c ; =5 — e, — V — P, =VIII — 2 t+ 2 S, =2 T+2 L, = 2 3rds-2 c, = T + t + S + L,= 2 t + 2 L+2 c,=26 c +14 + 6 f, = 6 l + 14 c + 10 equal also to 4 4ths-2 Vths, by which it may be correctly tuned. This interval has also been called the Ancient Semidiapenta, the Double Trihe mitone of some, 23', 2 (2 S + or 2 + S + 2); the Deficient Flat Fifth, the False Fifth of Bemetzrieder, the Grave Minor Fifth of Liston, &c.
Comma-redundant Major FIFTH (V'), has the ratio 25.5 243 = 369 7 f + 32 m, its log.= .8185137,0905, —