Comparing the counterpoint books by Jeppesen and Schoenberg.pdf

Counterpoint styles

F.G.J. Absil

Comparing the counterpoint books by

Jeppesen and Schoenberg

F.G.J. Absil

December 2006

Abstract

This document lists the essential differences between the books by Arnold Schoenberg and Knud

Jeppesen about counterpoint. These differences represent the style characteristics of the late Renais-

sance and the Baroque period.

1 Introduction

Studying counterpoint may be based on a number of sources. There are two books that are most useful,

because they present fairly consistent rules for writing counterpoint and they present numerous examples

with increasing complexity: the book by Knud Jeppesen [6] is based on the Palestrina (late Renaissance)

counterpoint, wheras the book by Arnold Schoenberg [3] is based on the Fux style (Baroque).

Both discuss the rules for writing a good cantus ﬁrmus (CF), and then present the various species

(from 1st to 5th species) for 2-part until 4-part counterpoint phrases. However, these rules yield a number

characteristic differences between the sources, that have to do with the musical period that they are based

on. Below, these characteristic differences will be listed.

2 Essential differences

Table 1 and 2 (on the following pages) present essential style differences between the two books. In

these tables the symbols c and d stand for consonant, and dissonant interval, respectively. Numbers (

)

indicate the value of the interval, in this case a ﬁfth.

3 Further reading

There are various other sources for studying counterpoint, covering the different styles and periods:

•

for late Renaissance and Baroque period counterpoint, see [8].

•

for Classical and Romantic period counterpoint, see [9, 1, 10, 7].

•

for contemporary counterpoint writing, see [2, 4, 5, 11].

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F.G.J. Absil

References

[1] Diether de la Motte. Kontrapunkt: ein Lese- und Arbeitsbuch .Barenreiter Verlag, Kassel, Germany,

1981. (in German).

[2] Gordon Delamont. Modern Contrapuntal Technique . Modern Arranging and Composing. Kendor

Music Inc., Delevan, NY, 1969.

[3] Arnold Schoenberg (edited by Leonard Stein. Preliminary Exercises in Counterpoint . Faber &

Faber, London, Boston, second (revised) edition, 1970.

[4] Paul Hindemith. Ubungsbuch f ur den zweistimmigen Satz , volume II. Edition Schott, Mainz, 1939.

(in German).

[5] Paul Hindemith. Ubungsbuch f ur den dreistimmigen Satz , volume III. Edition Schott, Mainz, 1970.

(in German).

[6] Knud Jeppesen. Kontrapunkt . Number Bestellnummer 520 094 6. VEB Breitkopf & Hartel

Musikverlag, Leipzig, 5th edition, 1979. (in German).

[7] Kent Wheeler Kennan. Counterpoint: Based on Eighteenth-Century Practice . Prentice-Hall, Inc.,

Englewood Cliffs, NJ, 2nd edition, 1972.

[8] Erik Lotichius and Lourens Stuifbergen. Leerboek voor omkeerbaar contrapunt, canon en fuga .

De Muziekerije, Edition Heuwekemeijer, Wieringerwaard, the Netherlands, 1986. (in Dutch).

[9] Alfred Mann. The Study of Fugue . Dover Publications, Inc., New York, 1987.

[10] Walter Piston. Contrapunt . Strengholt, Naarden, the Netherlands, 1977. (in Dutch).

[11] Joseph Schillinger. The Schillinger System of Musical Composition , volume I and II of Da Capo

Press Music Reprint Series . Da Capo Press, New York, fourth edition, 1946.

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F.G.J. Absil

Table 1: Essential style differences between the Jeppesen and Schoenberg books about counterpoint

Jeppesen

Schoenberg

(Palestrina style)

(Fux style)

Modal (Dor, Phryg, Mixolyd, Aeol, Ion)

Tonal (major, minor)

Two keys: C, F ( )

All keys

Only major endings; some leading tones: from 1

ﬂat to 3 sharps .

“Turning points” and neutralisation: careful voice

leading in minor.

Downward cambiata only:

Upward and downward cambiata :

c [ c, d ] [ c, d ] [ c, d ] c .

c [ c, d ] [ c, d ] [ c, d ] c and

c [ c, d ] [ c, d ] [ c, d ] c .

No dissonance on strong beat, except in 5th

species.

Dissonance allowed on strong beat, if sur-

rounded by 2 consonances that through stepwise

motion lead to a third (3rd species).

& c ˙

c or:

œ œ œ

œ œ

Œ œ

or:

Œ œ

or:

No upward leap (

) from strong beat.

Upward leap (

) from strong beat allowed.

leap

œ œ œ

leap

œ œ œ

Combinations on 3rd beat in 3-part, 3rd species:

these have to be consonant with the CF (see

the notes marked with arrows in the example).

CP1

œ œ œ

œ œ œ œ

˙ ˙

All combinations are possible, but if CP 1 or CP 2

is dissonant with CF (which is the case if CP 1 is

a cambiata or a sequence of 4 quarter notes with

consonances on the 2nd and 4th beat, or if CP 2 is

a passing note), then the interval between CP 1 and

CP 2 may be dissonant.

CP2

Allowed suspensions in 4th species (mainly for

2-part). Requirement: the resolution has to lead to

an imperfect consonance (third or sixth,

Allowed suspensions (in 2-part). Requirement:

the resolution has to lead to any consonant (perfect

or imperfect).

˙ ˙

If suspension is in upper voice, then

7 − 6 , 4 − 3

w ˙ 2 ˙ 3 ˙

w ˙ 9 ˙ 10

(imperfect consonance) but also

2 − 1 , 9 − 8 , 11 −

(perfect consonance) are allowed. If suspen-

sion is in lower voice then

2 − 3 , 4 − 5 , 9 − 10

and

11 − 12

are allowed.

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Table 2: Essential style differences between the Jeppesen and Schoenberg books about counterpoint

(continued)

Jeppesen

Schoenberg

(Palestrina style)

(Fux style)

3-Part: passing notes in CP 1 and CP 2 are deter-

mined in relation to the CF (purely melodic ap-

proach). Example:

3-Part: the passing notes are determined by ﬁnd-

ing the harmonic structure (the chord) on the 1st

beat of the measure and comparing the rest of the

measure with this chord (a more harmony-oriented

approach). Example in C with 3 non-harmonic

passing notes:

œ œ

& œ

˙ 5

˙ 6

˙ ˙

Not too much concerned with (consecutive) in-

termittent octaves (

Very careful with intermittent octaves and ﬁfths.

) and ﬁfths (

) after suspen-

sions or cambiata.

& œ

œ œ

˙ ˙

Hidden ﬁfths (

) and octaves (

Hidden ﬁfths (

) and octaves (

– allowed in 3- and 4-part in the inner voices and between

inner and outer voices (in general, not between outer voices).

– allowed in 3-part between outer voices, if step-

wise motion in upper voice occurs. Hidden

s allowed between outer

voices in 3-part, but preferrably with stepwise mo-

tion in upper voice.

s and

s al-

lowed in 4-part (again, for stepward moving upper

voice).

Leaps: downward leaps up to a ﬁfth (

), up-

No leaps > 5

ward leap up to a minor sixth (

Changing notes: lower (dissonant) changing

note allowed in 3rd species, upper changing note

allowed in 5th species.

No dissonant changing tones allowed.

Arpeggio chords: in the melody (upper voice) 2

consecutive leaps of each a third (3) are allowed.

No arpeggio chords allowed in any voice.

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