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Page 1: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

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Page 2: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

The Greek views of music

—such as in Aristotle’s Poetics and

Plato’s The Republic—

are highly influential in Western thought.

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Page 3: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYThe Ancient Greeks

Greece

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Page 4: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

ETHOS• Music effects character and way of behaving

• Doctrine of imitation—music imitates an ethos, arouses that ethos in the listener

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Page 5: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYPlato states music in a particular modes shifts a person’s

behaviors:

• Soldiers should listen to music in the “strong” Dorian or Phrygian modes

• Men should avoid music in “feminine” Lydian, Mixolydian or Ionian modes

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Page 6: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

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CLASSICAL ANTIQUITY

“And which are the soft harmonies? The Ionian, he replied, and the Lydian

Well, and are these of any military use? Quite the reverse, he replied; and if so the Dorian and the Phrygian are the only ones which you have left. The [soft modes] must be banished; even to women they are of no use, and much less to men.”

—Plato, The Republic

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Page 8: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

“Musical training is a more potent instrument than any other, because rhythm and harmony find their way into the inward places of the soul, on which they mightily fasten, imparting grace, and making the soul of him who is rightly educated graceful…and receives into his soul the good, and becomes noble and good, he will justly blame and hate the bad…”

—Plato, The Republic

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Page 9: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Plato believed that changes in music

would cause a wide-scale social changes

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Page 10: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Kithara

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CLASSICAL ANTIQUITY

Aulos

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CLASSICAL ANTIQUITY

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CLASSICAL ANTIQUITY

MELOS

For Plato, melody =

Melody, Text (meter) and Harmonia (relationship between pitches, scales,

melodic types, i.e. mode)

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Page 14: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Mousike

MUSIC with WORDS

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Page 15: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

MousikeMUSIC with WORDS

“And the melody and rhythm will

depend upon the words? Certainly.”

—Plato, The Republic

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Page 16: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Greek music was MONOPHONIC,

with instruments duplicating a melodic line.

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Page 17: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Greek “plays”

Tragedies of Euripides (480–406 BC)

and Sophocles (c. 496-406 BC)

were sung.

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Page 18: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

GREEK THEORY

PYTHAGORAS (570-c. 495 BC)

ARISTOXENUS (c. 330 BC)

CLEONIDES (1st century AD)

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Page 19: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

GREEK THEORY

Where do pitches come from?

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Page 20: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

GREEK THEORY

Where do pitches come from?

NUMBERS

Hence, view of music as Science

Music as reflecting the Universe

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Page 21: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

While many musics derive their

notes from the overtone series,

Greek theorists, such as the mathematician

PYTHAGORAS (570-c. 495 BC)

discovered and explored the numeric basis

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Page 22: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

Legend has it that Pythagoras walked by a forge and noticed different tones emanating from anvils of different sizes as they were struck by the blacksmiths.

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Page 23: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Pythagoras conjectured that

the different tones of the anvils

had to do with the

different sizes of the anvils and

their ratios between their sizes

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Page 24: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

Pythagoras generates a series of musical intervals the “perfect” intervals octave, fifth, fourth, and secondwhose whole-number ratios could be measured

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CLASSICAL ANTIQUITY

Greek theorists called the octave the DIAPASON (“across all”), the fifth the DIAPENTE (“across five”), the fourth the DIATESSERON (“across

four”), and these terms were used up through the

Renaissance.

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Page 27: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

Diapason

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Page 28: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

ANTIQUITY

Diapason

Diapente

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ANTIQUITY

Diapason

Diapente Diatesseron

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CLASSICAL ANTIQUITY

A strange phenomenon is revealed, however, when using the Pythagorean ratios.

On an equal-tempered piano, the sum of 7 stacked octaves (CC to c4)

and the sum of 12 stacked fifths (CC to c4)—the “circle of fifths”—

should be “equal.”

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Page 31: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

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Page 32: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

Using the whole-number Pythagorean ratios of 2:1 for octaves and 3:2 for fifths,

arithmetic shows that the sum of 7 octaves and of 12 fifths are not the same.

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Page 33: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

The sum of the circle of fifthsovershoots getting to “c”

by about a quarter of a semitone, or more accurately, by 21.51 cents

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Page 34: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

The sum of the circle of fifths overshoots getting to “c” by about a quarter of a

semitone, or more accurately, by 21.51 cents

That difference is calledThe PYTHAGOREAN COMMA

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Page 35: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

How then did the Greeks generate a set of musical pitchesout of these intervals?

And what problems does the comma cause?

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Page 40: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

The last two pitches form the Tritone(729 : 512)

which sounds horribly dissonantand audibly reveals the Pythagorean Comma

[A comma is the difference between two seemingly enharmonic notes]

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Page 41: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

ARISTOXENUS (c. 330 BC)

Theorizes “Diastematic” (intervallic) movement made up of

Tones

and Intervals between those tones

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Page 42: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

ARISTOXENUS (c. 330 BC)

Constructs “scales” = 4 notes in ascending or descending pattern

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Page 43: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

These scale 4-note patterns are the

TETRACHORDS

“4 strings”

A perfect fourth

with two inner pitches

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Page 44: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

3 Genera (classes) of Tetrachords

Diatonic

Chromatic

Enharmonic

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Page 45: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYThe Ancient Greeks

Diatonic Chromatic Enharmonic

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Page 46: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Tetrachords can be stacked into the

Greater Perfect System

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Page 47: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Greater Perfect System

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Page 48: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

CLEONIDES (1st century AD)

Diatonic tetrachords combine

Tones (whole steps) and

Semitones (half steps)

in limited number of ways, or Species

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Page 49: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

1. Semitone, Tone, Tone

2. Tone, Tone, Semitone

3. Tone, Semitone, Tone

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CLASSICAL ANTIQUITY

These 3 types of Tetrachords

are the

Species of Fourths

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Page 52: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

The Species of Fifth

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Page 53: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

The Species of Fourth (Diatesseron)

and the

Species of Fifth (Diapente)

are combined into

Species of Octave (Diapason)

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Page 54: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

Species of Octave

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Page 55: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

TONOS

These octave species (tonoi) acquire

ethnic names associated with regional styles

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Page 56: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

TONOS

These octave species (tonoi) acquire

ethnic names associated with regional styles

Dorian, Lydian, Phrygian

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CLASSICAL ANTIQUITY

Surviving Music from

Ancient Greece

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CLASSICAL ANTIQUITY

Euripides fragments (c. 485-406 BC)

Delphic Hymns (c. 128-127 BC)

Epitaph of Seikilos (first century CE)

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CLASSICAL ANTIQUITY

Euripides fragments (c. 485-406 BC)

Orestes (c. 408 BC)

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CLASSICAL ANTIQUITYEuripides fragments (c. 485-406 BC)

Rhythm from meter of poetry

DOCHMAIC6 syllables in pattern of

. . . __ . __

“Ka-to-lo-phi-ro-me” . . . __ . __

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CLASSICAL ANTIQUITY

Euripides fragments (c. 485-406 BC)

Orestes (c. 408 BC)

Stasimon Chorus

A stasimon is sung by chorus standing in place in the orchestra

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CLASSICAL ANTIQUITY

Greek Amphitheater at Epidarus

Orchestra

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Page 65: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYEuripides fragments (c. 485-406 BC)

Orestes (c. 408 BC)

Stasimon Chorus

Women of Argos ask for mercy for Orestes

Chromatic Version (Male Chorus)65

Page 66: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

Delphic Hymns

(c. 128-127 BC)

Temple of Apollo,Delphi

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Page 67: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYThe Ancient Greeks

Delphic Hymn Fragments

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CLASSICAL ANTIQUITY

Epitaph of Seikilos

(first century CE)

Found in present-day Aydin, Turkey

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Page 70: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYThe Ancient Greeks

Aydin

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CLASSICAL ANTIQUITY

TOMBSTONE

“I am a tombstone.

Seikilos placed me here

as an everlasting sign of

deathless remembrance”

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Page 72: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITYEpigram (set to music)

“As long as you live, be lighthearted.

Let nothing trouble you.

Life is only too short,

And time takes its toll.”

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CLASSICAL ANTIQUITY

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CLASSICAL ANTIQUITY

Notated music generally considered unuseful for musicians who transmitted

their music orally.

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CLASSICAL ANTIQUITY

However, there were several forms of musical

notation, with the

vocal music notation (lexis)

differing from

instrumental notation (krousis)

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CLASSICAL ANTIQUITY

Vocal music (lexis) used

alphabetic PITCH NOTATION

using the Ionic Greek alphabet

(dating after the 5th century BCE),

with each note having its own symbol.

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CLASSICAL ANTIQUITY

Line 1 are the diatonic scale (the pitches are approximate). Line 2 raises the line 1 pitches by one diesis (i.e. about a half-step), Line 3 by raised by two dieses

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Page 78: CLASSICAL ANTIQUITY - San Jose State University · 2018. 8. 15. · CLASSICAL ANTIQUITY “Musical training is a more potent instrument than any other, because rhythm and harmony

CLASSICAL ANTIQUITY

A diesis is the difference (21.51 cents)

between a perfect octave (2:1)

and three stacked pure major thirds (5:4)

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CLASSICAL ANTIQUITY

The rhythm of Greek vocal music generally

followed the rhythm of the poetry,

made of long and short syllables...

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CLASSICAL ANTIQUITY

BUT… those rhythms could be notated

and modified by various symbols.

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CLASSICAL ANTIQUITY

Duration signs were placed

above the pitch symbol.

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CLASSICAL ANTIQUITY

Two pitches under one rhythmic sign usually indicates a melisma,

each note getting half the value of the sign, or the unequal “short-long”.

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CLASSICAL ANTIQUITY

An unmarked duration is the base note value

PROTOS CHRONOS

while other durational signs indicated a

doubling or tripling of the

protos chronos

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CLASSICAL ANTIQUITY

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Text

Lexis pitch notation

Duration

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