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Music

Rhythm

Musical time, feet and beats, and their relation to the metre of words.

Rhythm · 1 of 5

Aristoxenus on rhythm

The Greeks thought rhythm the vital part of music. The Problems call it the soul of a song. Aristides Quintilianus calls rhythm male and melody female. Rhythm is also the one element of ancient music that survives nearly intact, because the metres of the poems record it.[1]

Two values

Greek rhythm rests on an opposition of two note values, the one twice the other. There are three proofs. A long syllable is interchangeable with two shorts. The diseme sign in the scores stands over the notes of long syllables. And the ancient writers define the dactyl as 1:1, the iambus as 1:2 and the paeon as 2:3, ratios that only make sense if a long is two shorts.[2]

—2⏑1⏑1—2⏑1⏑1dactyl, 2 : 2 = 1 : 1⏑1—2⏑1—2iambus, 1 : 2—2⏑1—2—2⏑1—2paeon (cretic), 2 : 3
Three feet, each played twice on one note: the number under each sign is its length in units. A long is two shorts.

The rhythm is additive. Fixed small units are strung together into groups of unequal length; a bar of fixed length is not divided up. That is why time-signatures change so often when the music is written out in modern notation.[3] English poetry arranges the stresses of speech into patterns. Greek poetry arranges the durations of its vowels, a long being held for twice the time of a short.[4]

Prōtos chronos: The “primary duration”. This is Aristoxenus’ name for the smallest indivisible time in a given piece, normally the short syllable. It is not a physical constant: in a slow spondaic tempo it is longer.

Aristoxenus

Rhythmic theory began with the sophists and with Damon. Damon classified rhythms by whether their up and down parts were equal or unequal. The three ratios 1:1, 1:2 and 2:3 were noticed as parallels to the harmonic ratios, and some theorists admitted 4:3 as well.[5]

Aristoxenus’ Elements of Rhythm survives only in a few pages of its second book. These are supplemented by a papyrus, and by the later writers who drew on him.[6]

His first move was to separate the rhythm from the things it is imposed on. Speech, melody and bodily movement are the material (rhythmizomena). Rhythm is the ordering of their durations. He rejected the old practice of measuring rhythm by counting syllables, because a syllable has no fixed length: it is the duration that is fixed.[7]

From this came the prōtos chronos, the primary duration, and its multiples, the diseme and the triseme. There were also “irrational” durations that fall between them.[8] A syllable can be stretched or shrunk to fit the time. The sequence long, short, long can fill four units or five. And a long can be held through three units, where the metre alone would show only its length.[8]

In this theory the foot is a repeating group of durations, with an up part and a down part. The ratio between the parts fixes its class: equal (dactylic), double (iambic) or hemiolic (paeonic).[9] Later writers added little. Some separated rhythm from metre altogether, and treated it purely in terms of ratios.[8]

A papyrus fragment with two columns of Greek in a small upright hand, with holes and losses.
Aristoxenus’ Rhythmics: P.Oxy. 9

Tempo and character

Aristides defines tempo (agōgē) as the quickness or slowness of the durations. He derives the up and down of the foot, arsis and thesis, from the dancer’s foot, lifted and then placed. The placing is the heavier of the two.[10]

Ancient criticism also heard expression in rhythm. Dionysius of Halicarnassus reads the Sisyphus lines of the Odyssey in this way. Their long syllables imitate the effort of the climb, and their short ones tumble down with the rock.[11]

The sophists’ doctrine of rhythmic ethos set calm against quick, and dignified against lowly. The dactyl of the hexameter was grand and steady. The iambus was close to speech. The trochee was tripping, and fit for the comic dance. The more longs, the grander the rhythm. Feet in equal ratio were orderly, those in 2:1 less so, and those in 3:2 and 4:3 more disturbed.[12] West warns against applying this mechanically. But he allows that running trochaics, solemn spondees and unsettling asymmetries ring true.[13]

Notes

  1. ^ West 1992, pp. 129–130.
  2. ^ West 1992, pp. 130–131.
  3. ^ West 1992, pp. 131, 135.
  4. ^ Klavan 2021, ch. 8.
  5. ^ West 1992, pp. 243–244.
  6. ^ West 1992, p. 244.
  7. ^ West 1992, pp. 244–245.
  8. ^ a b c West 1992, p. 245.
  9. ^ West 1992, pp. 134–135.
  10. ^ Phillips 2018, pp. 76–77.
  11. ^ Phillips 2018, p. 75.
  12. ^ West 1992, pp. 157–159; Phillips 2018, p. 77.
  13. ^ West 1992, p. 159.
Picture credits on this page
  1. Behind the title: Dancing women from the Tomb of the Dancers at Ruvo di Puglia, end of the 5th or 4th century BC. Unknown painter · Public domain · via Wikimedia Commons
  2. Papyrus Oxyrhynchus 9, third century AD: a fragment of a copy of Aristoxenus, Elements of Rhythm (Rhythmica stoicheia). Unknown scribe; reproduction via Wikimedia Commons · Public domain · via Wikimedia Commons
  3. Roman statue of a satyr with the kroupezion (foot-clapper), c. AD 1–100, after an original of the second century BC. Florence, Uffizi, Tribuna. Francesco Bini (Sailko) · CC BY-SA 4.0 · via Wikimedia Commons
  4. Euripides, Orestes 338–344, from a choral song, with vocal and instrumental notation above the words: papyrus written around 200 BC at Hermopolis. Vienna, Austrian National Library. Austrian National Library, via the World Digital Library · Public domain · via Wikimedia Commons · background removed
  5. The page of Vincenzo Galilei’s Dialogo della musica antica e della moderna (1581) that prints the three hymns of Mesomedes with their notation. Vincenzo Galilei (book); scan via Google Books · Public domain · via Wikimedia Commons