if 
: 
- 
id 
l 
RE. 
ratio is $5, = 311 2-+.6f-+427m, or the minor Fiyrn, 
which see. : 
sesqui-alterate, or 1:14 ; that is, 4, = 358 4 7f 4 
Sim, orthemajor Firru, whi 
/HEMIPTERA. ‘See Enromotoey, vol. ix. p. 76. 
one degree of the scale, called also Hatr-tones, Haur- 
—<s Semrrones, by different writers, (see these 
icles,) all.of which single degrees of the scale, al- 
though of such different magnitudes that the largest of 
are more than three times as great as the smallest 
of them, are yet all regularly expressed by only one f, 
in our notation, viz. 
._ Hemirone of Aristoxenus, or ancient hemitone, is 
an interval whose ratio is 343 = 46 = 4 f+ 4m, or the 
Limma, which see. 
Hemirone artificial. of Holder, has the ratio i2, = 
45.270982 = +4 f--4m ; see the Semrrone of Feytou, &c. 
_ Hemurone chromatic of Holder and Tartini; its ra- 
tio is 34, 3624f+43m, or the SemiTone minor, 
which see. 
_ Hemirone elementary of Overend ; its ratio is }£, = 
59 &4-f+45m, the Semrrone major, which see. 
greater, of Euclid’s genus Diatonum molle, 
fsths of a 4th, = 76.27168552 ©4f+4+ 7m; its com- 
mon logarithm is .96251813,7912, = .1245114 in Eu- 
ler’s logs. (VIIT.) and 6.947433 in major comma logs.(c). 
Hemrtone greater, of Ptolemy’s genus Chromatic 
molle, has the ratio +4, = 60.047096 © + f+ 5m; its 
log. = .9700367,7662, = .09953567 x VIII, = 5.553855 
xc. 
Hemrrone was of Quintilian, has the ratio $$, = 
§3.53181>54£+-5m; see the Semrrone of Malcolm, &c. 
_ Hemrrone lesser, of Euclid’s genera Diatonum syn- 
tonum-or ‘intense, and his Diatonum molle and Toniz- 
um chroma, 3th of a 4th, = 50.80314496 >+4f+44m ; 
its logi=.9750122,5268,==.0830076 x VIII, =4.681622 
eo. 
Hemirone lesser, of Ptolemy’s 
tonicum, and his Chromatic molle, the ratio 33, = 
32.0529045 t f+ 3m; its log. = .9842057,3282, = 
05246742 % VIII, = 2.927559 xc. This is also the mi- 
nor hemitone of Arc 5 and in some experiments by 
Messrs Kirby and ick, on the sound of a pipe 
blown by a mixture of carbonic and hydrogen gases, 
and by atmospheric air, this interval resulted. See our 
article Sounds of the Gases. 
Hemironn’ major, of Archytas’s chromatic genus, 
¥1 Fifths; viz. on C, G, D, A, E, B, % F, and 
% C and on F, pBand VE, each equal to 
And ‘the wolf fifth xD jE ER QMaP es ‘ 
Make 7 octaves each, 35824+f453m, .....+. 
mera Diatonicum 
vrere 
09 
HEMITONES, in music, area class of intervals of | 
‘i 354,951 
HEWN 
has the ratio $44, = 71.947096 5446 m ; its log. = 
96464174474, = .1174576 x VIII, = 6.559858 x c. 
Hemrrone major of Aristides and F has the 
ratio +5, = 53.53181 24.f4 5m. See Semitone 
of Malcolm, &c. 
Hemrrone major of Boethius and others, has the ra- 
tio 3344, = 5824f+5m, or the Arorome. See that 
article. 
Hemrrone major of Euler, Holder, Liston, Smith, 
&c, ‘has the ratio +4, =572+4f+5m, or the Semitone 
major, which see. 
EMITONE major, of Eutosthenes’ chromatic genus, 
whose ratio is +%,= 47.729018=4f+4m. See the 
Semrrone of Feytou. 
Hemrrone major, of Ptolemy’s genus Chromatic¢ in- 
tensum, has'the ratio $4, = 76.897955 24-f+.7 m., See 
the Har-tone of Brougham. 
Hemrrone maxima of Webb, has the ratio 24, = 68 = 
4+-f+ 6m, or the Semirone maximum, which see. 
HeEmiTone maximum, or greatest, of Holder, has the 
ratio £5. See as above. 
Hemrrone medium of Holder, has the ratio 334, = 
47 =+4f+4+4m, or the Semirone medius, which see. 
Hemrrone minor of Archytas’ chromatic genus, has 
the ratio 32, = 82.05290454f43m. See EMITONE 
lesser of Ptolemy. 
Hemirone minor of Aristides, ba pe Quintilian, 
&c. has the ratio 13, = 50.46819 +f+44m. See Se- 
MITONE of Malcolm, &c. 
Hemitone minor of Boethius, Sauveur, &c. has the 
ratio 344, = 46 ©4f44m, or the Livma, which see. 
Hemitone minor, of Euclid’s genera Chromatic to- 
nizum, and {his Diatonum molle, } of T, whose ra- 
tio is 2 4/ 2:3, = 52.0039312 = - f 4 4m; its log. = 
.9744287,3877,= .084962 x VIII, = 4.74070 xc. It is 
also the Chromatic diesis of Hoyle. 
Hemrtone minor of Euler, Holder, Sauveur, &c. has 
the ratio $+, = 36 = + f+ 3m, the Semitone minor, 
which see. ~ 
Hemitone minor, of Eutosthenes’ chromatic genus, 
has the ratio 32, = 45.270982 £24f+44m. See Semi 
Tone of Feylou, &c. 
Hemitone minor, of Ptolemy’s genus Chromatic in« 
tensum, has the ratio 34, = 41.198802. = 4f-+ 3 m ; its 
log. = .9797966,1391, = .06711422 x VIII, = 3.744815 
xc. 
Hem1rone minimum of Holder, improperly so call- 
ed, because it belongs to the class of commas (wanting 
f,) rather than to that of semitones; its ratio is $34, 
32E43m, or $1.85820145 + f4+2m, the Semitone 
minimum of Overend, which see. 
Hemrrone Pythagorean, or ancient, has ‘the ratio- 
ith = 4624-f+4+4m, the Liwma, which see. 
EMITONE subminimis of Holder, has the neo Tt 
=25254f+42m, the Semrrone subminimis, 
see. 
HEMORRHAGE. See Surcery. r 
HEMP. See Acricutrtore, vol. i. chap. viii.sect. iv. 
HEN. See Orniruotoey. 
HENFLING’S 7% ment of the musical ‘scale. 
In the year 1711, M. Henfling communicated to the 
Parisian Academy a commensurate system of 50 equal 
intervals within the octave; of which parts, 29 make 
the fifth, which therefore, for imperfect instruments, 
will stand as fellows, viz. ‘ 
969= + 7f4$1m,= 39044716594 77f +4 341m- 
woe. = 879.598341E-4 Tf 30m 
. s. =4284.0000005 + Saf 971m 
Hemitone 
a 
‘Tempera- 
ment. 
— 
