i 
FOU 531 
oo Least flat Fourtn, of some writers; has the ratio 
6561. ss 
B19? 25 ——196 4-4 f+417m; itslog.= .9035800,9412, 
= .3203038. x VUL = 17.87198 xc; =—4—'P,= 
V3 — Pj =lV — = —T, =Ill ~5,=845—s, 
=T +4 2L,= P+8L,=2t4+2S—T,=—t+S+L, 
=17e4+ 92 44f,=47 +9€ + 62; it isalso = 
5 VII— 8 V, = 5 4ths —3 V,. by which it may be 
tuned. It. is the diminished fourth of Bemetzrieder, 
the double-deficient flat fourth; and the schisma-de- 
fective major third (III, ) 
Lesser False Founvu of the trumpet (aq gr &e. ) 
has the ratio 25, =240.060766= +5f + 20m} its log. 
== .8819006,8792, =.3923175 x VIII, = 21.89039 xc. 
It is also the.bearing or grave fourth of Holden. 
Lesser Flat Fount, ef some authors; has the ratio 
os Spr = 2TE + Af + 18m. Its logarithm 
or" dinisiosess, = = .338224 x VIII, = 18.87198 xc; 
=4—5, =IV—25, =HI+€, =3+L,=V+€—3; 
aor Tew aes mies =t-+, hae 
= =IV—t—z,=18c49544f,—4/41 
ay i t is also =3 4ths—V i by i my 
eae It is the grave extreme flat 
ap A) oer sing pe Nr gee! of er) fourth wri- 
deficient minor fourth. , 
w= cae Rete ii has the ratio 243 43 ous 
320° — 
+ 5f421m. See the Comma-deficient Minor Fourru. 
Fourtx (IV), or Greater Fourth, has the ra- 
oe = pep = 901E 4 6F 426m; its logarithm 
9374,6454, =.491853 x VIII, = 27.44423 xc; 
es, =II+T, =V—S,=5—€;: it} = =II+TII, 
2, =VII—4, =VIif—5, =I1x—6, =X—7, 
Tomas arate, = ae EUR. ey 
+5, =25459+ =26e+415E = 6f/ 
SUC aE Ee it is equal V4 if III — 4, by whi means 
‘it may be This interval is also the 
extra sharp tine forty the sharp four the re- 
of Euler, 
pg 2T+4t,) or tritonus, Mr F. Webb says, in 
icon,” app fiend hy yet 
= 
ry 
octave, or isotonic minor fourth, which 
ce te os in the difference 
bene in each case. _ 
, Major Founru of Hussey and Webb, has the ratio 
[> = 297.060766 = + 6f + 26m, and its logarithm 
fa ee they also denominate it a sharp 
‘Majer Woostee of; Siltipi tap, “thnentio oe 
307.53967 X+46f+426 m, and its log. =.8487323,2467. 
— Minor Fount (6), Himetlv ae Sahin Fourth, is a 
‘concord, baving the ratio, = 2542-45 £4. 22m; its 
Jog. =.8750612,6339, =.4150974% VIII, =23.15811 
‘it is also =6—3, = VI—III, =VilI— 
. Sharp Fourtu of Holden; has the ratio 
FOU 
X ¢, = 254.921293 x E,=1.2892244 x IIL, =1.5778829 _ Fourtin 
x 3d; =IV—S, =3+t, =III1+S, =5—S, =V—T; 
=2+IIl, =IV—I,=5—2, =V—II, =7—4, Vul—IV, 
=8—5, =9—6, =X — VIL; =T4t+8, =2T+L, 
=T+t+L-+<¢, SU Eee OAS o =23T—1 4d, 
=22c+5r42E, = 22c412E45 $12E 495: 
ty either of 
which its tune may be examined and adj usted with the 
t exactness, This interval is the diminished 
ma najor) fourth of Liston, and his extreme flat major 
urth (pIV); the quatre of Euler ; the diatessaron, or 
tetrachord, of the ancients ; and the epitrites. It is the 
al. Ip of ‘the three Concorpant Elements, 3d, IIId, 
4th ; see that article. It may be twelve times re- . 
peated, or tuned in succession, in five octaves, (11 4ths 
+4+4d=5 VIII), before falling again on the same note, 
or near to it, which is not the case with any other con- 
cord, except its complement the major fifth. 
Minor-comma defective minor Fourtu (4) ; has the 
- 512 23 
ratio 675° — oS = 2445 4 5f-+ 21m; its log. = 
-8799661,8814, = 3.987441 x VIII, = 22.19905 x c: 
=4—€, lV, =HI+5, =34+8+5, =V— 
28, =542=—S; =1+ Ill, =IV—2, =VIU—5, = 
X—8;= 2T4t_S, —2T +3, =21c+4 13=45f, 
=5 11€492: it is also = V-+ 2 U1 — 2 4ths, 
rE it may be tuned. It is the redundant (major) 
aaa of Liston, and his extreme sharp (major) third, 
Redundant Fount of Chambers : has the ratio aa nn 
265 + 5f+4+ 23m; see Comma-redundant minor 
Fourtn. 
Redundant (major) Fourtx of Liston, has the ratio 
375 = 8372 +7 f+429m. See Extreme sharp (major) 
Fourtn. 
Redundant (minor) Fountu ; it ratio is © 
iB = 3015 
+2) 6f+ 26m. See Major Fourtu. 
Schisma-excessive minor Fourru (4*) ; has the ratio 
is 
ses unk a ete hob Bde Shams. tee, Tog, = 
Jo9ss’ — 37.5’ — 
-8745711,5626, = .416665 x VIII, = 23.24895 xc; 
=4+42, =IV—L, =V+=—T, =II1+P, =3T—S, 
=22c4 13245f, =5f412€+4 102: it is also = 
ay III — 4 4ths, hore it may be tuned ; and if 
Feira kn tenor-cliff C (of 240 vib. jit will be found 
sharp therewith 1.08387 per second: its length 
sing ring -7491541. It is the minor fourth in 
pean s Temperaments (see that article), and is 
equal CE’X, and to fourteen other intervals on Mr 
Liston’s Eunarmonre Organ. 
$2 
Sharp Fourth, or Greater Fourth ; its ratio is B= 
801546f+426m. See Major Fourrn. 
Sharp Fourrn, of Bemetzrieder ; has the ratio aa 
= 312546 f + 27m. See. Comma-redundant major 
Fourrn. 
pe 
1 
$14.947096> 4 6f+.27 m, and its log. = .8450980,4001 : 
| Aad pane , and the lesser fifth of Hussey and 
el : 
Sharp aa of Hussey and Webb ; has the ratio 
