FORMATION OF THE SCALE--NOTATION

In comparing the Ambrosian chant with that of Gregory, it

may be said that we have touched upon the vital principle of

modern music. The novelty in the Gregorian chant consisted in

its absolute emancipation from the tyranny of actual words

and declamation; while the idea, the poetic principle, or

religious ecstasy still remained the ideal to be expressed in

the music. Before this, as already explained, music was either

a mathematical problem, a rhythm to mark the time in dancing,

or a vehicle serving for the display of clever _tours de force_,

the music of the tragedies being merely a kind of melodious

declamation. To quote Goethe, "having recognized the fact,

it still remains for us to see how it developed." Let us now

consider this point.

Three things were necessary before these Gregorian chants

could develop at all: (1) A simple, clean-cut musical scale

or systematized table of musical sounds. (2) Some definite

manner of symbolizing sounds, so that they could be accurately

expressed in writing. (3) A cultivation of the sense of

hearing, in order that mankind might learn to distinguish

between sounds that are discordant and those that sound well

together; in other words, harmony.

We will begin with the scale, and review what we know of the

Greek modes in order to show how they were amalgamated into

our present octave system of scales.

[Tetrachords /------|-----\ /-------|--------\ ]

[ F: b, c d e f g a G: b c' d' e' f' g' a']

[Mixolydian \--+-+-+-+-+-+----/ | | | | | | ]

[Lydian \-+-+-+-+-+------/ | | | | | ]

[Phrygian \-+-+-+-+---------/ | | | | ]

[Dorian \-+-+-+------------/ | | | ]

[Hypolydian \-+-+---------------/ | | ]

[Hypophrygian \-+------------------/ | ]

[Aeolian or Locrian or Hypodorian \---------------------/ ]

[Notes labelled from highest to lowest: Nete, Paranete, Trite,

Nete, Paranete, Trite, Paramese, Mese, Lichanos, Parhypate,

Hypate, Lichanos, Parhypate, Hypate, [F: a,] Proslambanomenos.]

Under Ambrose and Pope Gregory, these modes had taken a

different form. The chromatic and enharmonic styles had been

abandoned in theory, the portamento which the singers introduced

into their chants being the only principle retained. The new

system was as follows:

[F8: g, a, b, G8: c d e f g a b c' d' e' f' g' a']

[First nine notes labelled:

Hypoion., Hypodor., Hypophryg., Hypolyd./Ionian,

Hypo-mixolyd./Dorian, Hypoaeol./Phryg., Lyd., Mixolyd., Aeol.]

In order to complete the story of the evolution of scales and

clefs, we must add that the Flemish monk, Hucbald (900 A.D.),

divided this scale into regular tetrachords, beginning at

G, with the succession, tone, semitone, tone, forming four

disjunct tetrachords,

[F: (g, a, b-, c) (d e f g) (a b c' d') G: (e' f+' g' a')]

This division remained without influence on the development

of the scale.

The first change in the _tetrachord_ system of reckoning

tones and dividing the scale was made by Guido d'Arezzo (first

half of eleventh century), who divided it into hexachords or

groups of six notes each. Up to that time, each note of the

scale had had a letter of the alphabet for its symbol. It was

Guido who conceived the idea of using syllables for these

notes. The story of how it occurred to him is well known:

On one occasion, hearing his brethren in the monastery choir

of Arezzo, in Tuscany, sing a hymn to St. John the Baptist, he

noticed that the first syllable of each line came on regularly

ascending notes of the scale, the first syllable coming on C,

the first of the next line on D, the first of the third on E,

etc., up to A on the sixth line. As all these syllables happened

to differ one from the other, and, moreover, were very easy

to sing, he hit upon the idea of using them to distinguish

the notes on which they fell in the hymn.

[F: c d f (d e) d | d d c d e e ]

[W: _Ut_ queant laxis | _Re_sonare fibris ]

[F: (e f g) e (d e) c d | f g a (g f) d d]

[W: _Mi_ra gestorum | _Fa_muli tuorum ]

[F: (g a g) e f g d | a g a f (g a) a | (g f) d c e d ]

[W: _Sol_ve polluti | _La_bii reatum | Sancte Joannes]

Furthermore, as there were six of these syllables, he arranged

the musical scale in groups of six notes instead of four,

hexachords instead of tetrachords. Commencing with G, which

was the lowest note of the system in Hucbald's time, the first

hexachord was formed of G A B C D E; the second, following the

example of the Greeks, he made to overlap the first, namely,

C D E F G A; the third, likewise overlapping the second,

commenced on F. In order to make this hexachord identical

in structure with, the first and second, he flatted the B,

thus making the succession of notes, F G A B[flat] C D. The

next three hexachords were repetitions of the first three,

namely, G A B C D E, C D E F G A, F G A B[flat] C D; the last

was again a repetition of the first, G A B C D E.

Critical and Historical Essays Lectures delivered at Columbia University · 第 39 / 115 题