56 ENHARMONIC. 
Rahernee- LSHEASMGMIG Salas, biseesie, See E= 2 ae es 8z 
substitution, during ‘ormance, of one interval = 3% — = —8-6th 
—Y~" another, differing » ina alight deme; oe = VUI — sill rae 
which i called Divecouncr of Tune, (eee tat article} 
which is IVERGENCY 2f Tune, (see article. yi 
The Rev. Henry Liston, in ide vale work, entitl $29} dt pac be ee 
An Essay on ‘ect Intonation, p. 72, after giving an aaa is ita a —t 
extract uygen’s ios, remarks, that a: BP oe =s sere 
the pitch, in singing, or on his organ, &c. cannot be abs etre: a i 
preserved by ly tempering every interval, but pach gy a +S Pp 
must be effected by substituting other notes, in parti- eal Tits, 9 ag te th a 
cular situations; and, at page 120, he shews also, how, * A + 2-—f¢ =T +. 
when the musician, by a series of dominants, has wan- pak rp all, “ecietah rs A 
dered away from his principal key, may recover his i _; a bark. 
lost ground, while he seems to the hearer to be perse- sale trts Roe wid het er 
vering in the same course, by only substituting a par- ef SO Rix — : 
ticular note, either higher or lower, by a schisma, brs ! 
major, or by a minor comma, than the one that is writ- =29.—2r —5=5 &= t— 8—3 
ten, in the ordinary notation of music, and in which en- =f/—zx—- = = T—2S—c 
harmonic changes are all marked in his improved mode =f/—r —25 = T— J—S 
wins oy. music for the performer, on perfect instru- =f/—€—=z mY a 
Ennarmonic Degree of Aristoxenus, or Diesis qua- = pugs : a = 
drantalis, is an interval, equal jth of a major tone, or = P—f—fc “tye 
3 T;=25.92713535 4-f+4 2m, or 262 4 3f4+ 21m. Some 
authors have called this the-quarter sais stage and Mr 
Hoyle denominates it the é onical diesis. 
nuHARMoNIC Degree of Euclid, is an interval three- 
thirtieths of the minor fourth, or ., x 4th, =25.32674 
=+f+2m, and its common log. is =.9875061,2634. 
ir Ennarmonic Diesis, (greater $) or diesis greater of 
the mean-tone system, (see Vol. VII. p. 739,) is an in- 
3 
terval whose ratio is 32 OF oF =21542m in Fa- 
rey’s notation, =.9897000,4336 in common logs. = 
-0102999,566¢ in recip, logs., =.0342153 in Euler's logs., 
=1.9091591 in major comma logs., =21,0157248 in 
schisma logs., In tyneable intervals it is VIII—s III, 
=2VIII—3-6ths, =4th—2 III +43, by either of which 
methods of ascending and descending, or vice versa, in 
the tuning process, on an euharmonic organ of Liston’s, 
this in may be tuned above or below any given 
note ; already it will be found tuned thereon, above 
KD, E, %G and XB, ctively. 
In the symbols explained in Plate XXX. Vol. II. 
the following equations will be found to express the 
exact relation of this interval to all the other inter- 
vals therein, viz. * 
&=c +E é= R+- 
=r+2€ =21542m 
' $=R4y 4+¢ 
ox +F +55 
=d+m+9= 
&é=S—wv é=S—-e 
a gl Se 
 =2— =f— 
=S—lI i ak, 
=L— =2S—t 
=I —; =T —25 
=f—c =t —2s 
In that almost endless diversity of nomenclature, im 
which theoretical writers on music have indulged, this 
interval, besides the above, has received the denomi- 
nation of apotome by some writers; apol mirjor 
by Salomon, Boethius, &e.; bacchius by Rameau ; 
comma by Chladni ; (see Comma, Vol. VIE. p. 19.) com~ 
ma greater by some writers ; diesis by Euler, Liston, 
&c. ; diesis minor by Holder, ; diese major by Rameau ; 
diminished second by Liston ; harmona by Hanfling ; 
uarter note b ce, Holder, &c.; quarter tone. by se- 
bars raat ry Earl Stanhope, &c. Nip teen 
ror ()) of the trumpet, and French horn minor sixth. _ 
Ennarmonic Diesis (lesser) of the mean-tone sys- 
tem, (see Vol. VII. p. 739.) occurs adjacent to the half 
notes of that system of temperament, is an interval equat 
173 >+4f4 14m, =17.89376412-4 2 m, whose common, 
log. is .9912224,3171. Se! ae 
Se nidnanaiic Diesis of Aristoxenus, is one quarter 
of the major tone, }T, or his entaeant’ Pee 
which see. rs saunas 
Ennarmonic Diesis of Euclid, one-tenth of the mi- 
nor fourth, or x4; x 4th, or his Enuarmonic Degree, 
which see. ’ ? . te 
Enuarmonic Ditone of Aristoxenus, is an interval 
less than a minor fourth by half'a major es a 
=2025 4.4f4+17]m, =202.00393122 4 4f4-17m; | 
common log. .9006375.2462. . vy 
Ennarmonic Ditone of Euclid, is an interval 24- 
30ths of the minor fourth, or + x 4th, =203.20471=-+.. 
4f+-17m, whose common logarithm is .9000490,1071._ 
NnuaRMoNIC Genus of the Greek music. See Gre 
NERA. ” 
Ennanmonic Interval of Good and Gregory, is the 
Major Comma $9, which see, weg - 
NHARMONIC quarter of a Tone of Rameau, is the 
Enuanmonic Diesis 334, which see. (¢) | 
