AEM | 
‘quire a reft at the end of each hemittich ; common verfes re- 
‘quire itat the end of four fyllables; and Alexandrine at the end 
of fix. 
~~ Leonine verfes rhythm both at the end, and at the hemi- 
flich. See Lronine. 
sae tine in Mujic, the fame with femi-tone or half- 
on fome occafions, but not alway % as will appear from 
the followin ng 5 wiz 
HeEmITOoNE of aoe or chromatic tonizum of this 
nition "Euclid, Holder, &c. is half: “3 major tone, and 
has a ratio of 2/23 = §2.00393 © + f + 4m in the 
notation of J, Farey: its common ke being 
-9744237.3877, its value in the logarithms: of Euler or de- 
‘oda 
cimals. ot -an 
MITONE of Sage diatonum Fyntoniis or ‘niall 
of His: dtatorum molie, and of *his éhroma tonizum, is an 
ae ‘nih 6th or th part of a or minor fourth, 
= 50.8031 45 oo f+ 4un, or 504 42m, whofe 
co loans gathm | 1s, -cn50ise. 4366 ‘de lovaricke of Euler 
er decimal of an o¢tave i ~ Sie Sey and it contains 4.63162 
major commas; fee Holder's “ Treatife on Harmony,” 
p- 103, and Orerends MS. in the library of the Royal In- 
ibe: vol. iii, p. 40. 
HeEmiTone of Euclid ; the greater in‘his diatonum molle, 
is yeh or peck or of the diateffaron or fourth, anfwering 
to the ie C to D (according to Overend), is, in 
Farey’ eta = 76.27168 © +f+ 7m, or 76: + 14f 
+ 63m, whofe co logarithm is 19625181 3.7912 3 
its binary or Euler’s os IS .1245114, and i it contains 
6.947433 major commas 
reater, Or — of Holder, is an inter- 
33 — + 6m, med is 
jie Sstemiieel ae usa e that artich 
' Hemrtoye, Major, or Hemtee of Dr. Smith, . 
terval whofe ratio is $$ = 575 +f + 5m, stich is the 
SemiTone niajor of the sce de | we have adopted 
from Overend ; fee that article. 
‘cet core Major, of none has a ratio of 2943 
san in- 
jee 
oyce, ‘the “flat Jalcott ( Gram- 
mar, p. 112.), anid of Ovesend’ great feale, the fharp of 
Dr. Boyce; the chromatic femitone of Dr. Callcott, &c. 
fhall pats: & in this place, after noticing, that by miftake its 
ratio was there ftated i 
to. be 2323, > 83 of 3°43, as above: 
which i in its seria peas Ito=s its common Soaked 
s log. or 
= 01 44.3 i contains 5.2861 major 
spe ie cs @ eee . 
is 
ed by the addition of the following pairs - 
maj or and a fchifma ; a limma - & 
and a diafchifma ; af ius and a comma ; a 
femitone minimum sai sewieke diefis ; ademitone minor 
and two major commas ; a major refidual and two chromatic #ian. 
; afemitone fubminimis and three ma S3;a 
prifma and four diafchifmas; a dieze minime and vd fox ad 
agg 3 amedius refidual and five major commas, 
is alfo equal to the difference betiven the following io 
only by the ratio + 
HEM 
vals in pairs, viz. a major tone and a limma ; 
A fee a minor comma ; a tone maximum and a femi- 
tone major ; two minor femitones anda dieze minime ; two 
WE te seiiesicciaan and a major refidual; two femitones me- 
‘dius, and a minor emitone ; three minor femitones and two 
femitones fubminimis ; four femitones fubminimis and three 
= eze minime, five dieze minime and medius refiduals, 
a femitone 
from the fum of two others, and 
taking the fum of two intervals from a fingle one, but 
the above mutt fuffice, exce ept mentioning, that this pat) 
is equalto 7 V — 4 VIII, 3 V — 4 4ths, or 3 3 + 3 Ill 
4 4ths by either of which it cam be correctly tuned by 
peri concords, on an inftrument having a fufficient num- 
beriof Pama pipes. 
MITONE Medium of Holder, is an interval whofe ratio is 
us = = 472 +f + 4m, or the SeMiTone medius ; which 
‘Hemrrone Minor, of Holder, or lefs half note, has a ra 
tio of 2 a2 = 365 + f+ 3m, or the SemivONE minor ; 3 which 
A Mrdrroies Minor of Boethius and Sauveur; the ancient 
hemitone mentioned by Pythagoras, Atiftoxenta: &e, 
It is what a fourth ex ; 
of 343 462 +f + 4m, orthe Limma ; which fee. — 
MITONE Minimum of Holder, has a ratio of See 
ane > es 3m; or the SEMITONE minimum ; fee that ar 
ticle: - = 
Hemiroysr, Artificial, of Holder, is an interval whofe 
ratio is $8 = 45.270982 5 4 f 4 4 m3 its common loga- 
rithm’ ‘being .9777236. 0529, its Euler’s log. = .07 4006, and 
it contains 4.129058 major commas, Mr. Holder obferves, 
that this hemitone differs from the limma of P ‘thagoras 
3122 Which is -270982 >, as above. 
Hemrtoxg, Greater, of Quintilian, is an interval ver 
ratio is 17 = §3.53181 © + 4 5 m, its common loge 
Tithe is ‘97367 10.5128, its Euler's logarithm, or decimal of 
the o€tave, is .c8746 463, and it contains 4.88023 m 
This is the falfe paitess 
— 
mas. e of the trumpet and French- 
horn, being four oéaves erst the found yielded by th 
part of the whole length of the tube, or fun ndamental, 
Heitone, Lefer, of Quintilian, = a ratio of jf = 
50.46033 5 5 m3 its common logarithm is 
-9751764.1627, its Euler’s logarithm = .082462, and it 
contains 4.601184 major commas. - Young, in his 
account of his Harmonic Skders, (fee that article,) calls 
this an imperfe@ uni unifon. 
Hemitone, Subminimis, of ini ati Holder, &e. is 
an interval ‘whofe ratio is 743 = 252+ f+ 2m, or 
SEMITONE fubminimis; which fee. 
Chews rikews Wolf, is the fmall difcordant interval which re- 
ts, 
fults, e r hemitones or femitones a 
oétave, which in Mr Farey’s notation is 14.70068 £3 
m, Or I qual to the fum of the major refi- 
“HEMITROP Cryftallo oli-euiae of reverfed 
fo rea ni 
h fee. 
| “HEMIXESTON, a meafure amongft the ancients, gon 
