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Grove's dictionary of music and musicians

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SEQUENCE SEQUENCE 415<br />

Beethoven's famous Septet for strings <strong>and</strong><br />

wind naturally heads the Ust, <strong>and</strong> Hummel's<br />

for piano, stiings, <strong>and</strong> wind is the next best<br />

known, though it is far inferior to Spohr's<br />

difficult <strong>and</strong> brilliant work for a. similar combination<br />

(op. 147). A striking, though too<br />

seldom heard composition, is Saint- Saens's<br />

Septet for piano, strings, <strong>and</strong> trumpet, op. 65.<br />

Operatic situations have seldom given rise<br />

to, or opportunity for, vocal septets, but the<br />

magnificent specimen in the last act <strong>of</strong> Goetz's<br />

Taming <strong>of</strong> the Shrew ' deserves foremost<br />

mention. F. C.<br />

SEQUENCE is generally taken to mean the<br />

repetition <strong>of</strong> a definite group <strong>of</strong> notes or chords<br />

in different positions <strong>of</strong> the scale, like regular<br />

steps ascending or descending, as in the following<br />

it has long been considered allowable to introduce<br />

intervals <strong>and</strong> combinations, in those<br />

cii'cumstances, which would otherwise have<br />

been held inadmissible. Thus a triad on the<br />

leading note would in ordinary circumstances<br />

be considered as a discord, <strong>and</strong> would be limited<br />

in progression accordingly ; but if it occurred<br />

in a sequence, its limitations were freely obviated<br />

by the preponderant influence <strong>of</strong> the established<br />

form <strong>of</strong> motion. Such diatonic sequences, called<br />

also sometimes diatonic successions, are extremely<br />

familiar in H<strong>and</strong>el's works. A typical<br />

instance is a Gapriccio in G major, published<br />

in Pauer's ' Alte Meister,' which contains at<br />

least fifteen sequences, some <strong>of</strong> them unusually<br />

long ones, in four pages <strong>of</strong> Allegro. The subject<br />

itself is a characteristic example <strong>of</strong> a sequence<br />

in a single part ; it is as follows :<br />

outlines :<br />

The device has been a favourite one with<br />

composers, irom Corelli, Bach, <strong>and</strong> H<strong>and</strong>el, to<br />

Schumann, Brahms, <strong>and</strong> Wagner. The reason<br />

is partly that it is so thoroughly intelligible<br />

without being commonplace. The mind is<br />

easily led from point to point by recognising<br />

eacli successive step after the first group <strong>of</strong><br />

chords has been given, <strong>and</strong> is sufficiently<br />

interested by the slight amount <strong>of</strong> diversity<br />

which prevails at each repetition. It thus<br />

supplies a vital element <strong>of</strong> form in a manner<br />

which in some cases has certain advantages over<br />

simple exact repetition, especially when short<br />

phrases are repeated in juxtaposition. It was<br />

consequently made much use <strong>of</strong> by early composers<br />

<strong>of</strong> sonatas, <strong>and</strong> instrumental works <strong>of</strong><br />

like nature, such as Corelli <strong>and</strong> his immediate<br />

successors ; <strong>and</strong> in many cases examples make<br />

their appearance at analogous points in different<br />

movements, indicating the recognition <strong>of</strong> formal<br />

principles in their introduction. This occurs,<br />

for instance, near the beginning <strong>of</strong> the second<br />

half in the following movements from Corelli's<br />

Opera Quaita : Corrente <strong>and</strong> Allem<strong>and</strong>a <strong>of</strong><br />

Sonata 1, Allem<strong>and</strong>a <strong>and</strong> Corrente <strong>of</strong> Sonata<br />

2, Corrente <strong>of</strong> Sonata 3, Corrente <strong>and</strong> Giga<br />

<strong>of</strong> Sonata 4, Gavotte <strong>of</strong> Sonata 5, Allem<strong>and</strong>a<br />

<strong>and</strong> Giga <strong>of</strong> Sonata 6, <strong>and</strong> so forth. A<br />

large proportion <strong>of</strong> both ancient <strong>and</strong> modem<br />

sequences are diatonic ; that is, the groups are<br />

repeated analogously in the same key series,<br />

without consideration <strong>of</strong> the real difference <strong>of</strong><br />

quality in the intervals ; so that major sevenths<br />

occasionally answer minor sevenths, <strong>and</strong> diminished<br />

fifths perfect fifths, <strong>and</strong> so forth ; <strong>and</strong><br />

A kind <strong>of</strong> sequence which was early developed<br />

but which is more characteristic <strong>of</strong> later <strong>music</strong>,<br />

is the modulatory sequence, sometimes also<br />

called chromatic. In this form accidentals are<br />

introduced, sometimes by following exactly the<br />

quality <strong>of</strong> the intervals where the diatonic series<br />

would not admit <strong>of</strong> them, <strong>and</strong> sometimes by<br />

pui'posely altering them to gain the step <strong>of</strong><br />

modulation. This will be easily intelligible<br />

from<br />

^^^^^<br />

the following example :<br />

The usefulness <strong>of</strong> the device in such circumstances<br />

is, if anything, even more marked than<br />

it is in a single key, because <strong>of</strong> the greater<br />

breadth <strong>of</strong> range which it allows, <strong>and</strong> the closeness<br />

<strong>and</strong> cogency <strong>of</strong> the successive transitions<br />

which it renders possible. A compact <strong>and</strong><br />

significant example to the point is the following<br />

from a fugue by Cherubini in C major :<br />

i^^^^^^i<br />

-J- ,^^<br />

l£<br />

Beethoven made very remarkable use <strong>of</strong> this<br />

device, especially in the great Sonata in Bb,<br />

op. 106, from which an example is quoted in<br />

the article Modulation [vol. iii. p. 239]. The<br />

'<br />

working out ' portion <strong>of</strong> the fii-st movement <strong>of</strong><br />

the same sonata is an almost unbroken series <strong>of</strong><br />

sequences <strong>of</strong> both orders ; <strong>and</strong> the introduction<br />

to the final fugue is even more remarkable, both<br />

for the length <strong>of</strong> the sequence, <strong>and</strong> the originality<br />

<strong>of</strong> its treatment. The first-mentioned,

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