[W.A. Mozart, finding Theory easy on Quiz 7, featuring his music, at Diablo Valley College, Pleasant Hill, sometime after 7:55am, Thursday, October 11]
Consonant and Dissonant Harmony
Consonance - A simultaneity (harmony) low in the overtone series that is perceived to be stable.
Perfect Consonances (very low in overtone series)
P1, P8, P5, and some P4's (Ex. Sol - Do)
Imperfect Consonances (still fairly low in overtone series)
M3, m3, M6, m6
Dissonance - A simultaneity (harmony) higher in the overtone series that is perceived to be unstable.
M2, m2, M7, m7, tritones, and some P4's
(ex. Do-Fa... in a tonal context, Fa tends to descend to Mi or Me against the Do)
https://en.wikipedia.org/wiki/Consonance_and_dissonance
Chord Tone
Member of a Chord - in Triads: Roots, 3rds, and 5ths...
Root Position Triads and Inversions - Chord Names and Figured Bass / Roman Numerals
Root Position
In a Root Position, the Root of the Chord is the lowest note (Bass) -
The other Chord Tones are 5th and 3rd above the Bass.
The Chord Name will be just the letter designation of the chord - Example: C
The formal Figured Bass designation for Root Position is 5 - the abbreviation is no figure at all.
3
In C Major, the above chord would be designated as I.
First Inversion ("Six Position")
In First Inversion, the Root of the Chord has been flipped up, at least one octave
The Third of the Chord is the lowest note (Bass)
The other Chord Tones are now a 6th and 3rd above this new Bass
The Chord Name will be the letter designation of the chord, followed by a slash, and another letter, representing the new Bass - Example: C/E
The formal Figured Bass designation for First Inversion is 6 - the abbreviation is 6
3
In C Major, the Roman Numeral is I6
Second Inversion
In Second Inversion, the Root and the Third of the Chord have been flipped up, at least one octave
The Fifth of the Chord is the lowest note (Bass)
The other Chord Tones are now a 6th and 4th above this new Bass
Again, the Chord Name will be the letter designation of the chord, followed by a slash, and another letter, representing the new Bass - Example: C/G
The Figured Bass designation for Second Inversion is 6
4
N.B. the Root of an Inverted Triad will always be the note above the interval of a 4th
(due to the Fifth of the Chord now being below the Root)
https://en.wikipedia.org/wiki/Inversion_(music)
Non-Chord / Non-Harmonic / Embellishing / Added Tones
Any Tone occuring during the expressing of a designated Chord that is not a member of same.
Non-Chord / Added Tones can appear in any Voice (Soprano, Alto, Tenor, Bass, etc)
Passing Tone
A Passing Tone is created in a melodic movement from one Chord Tone (Consonance) through a
Non-Chord / Added Tone (Dissonance) to another Chord Tone
In the above example, from Henry VIII's Pastime with Good Company (from Quiz 5) the A is clearly not a member of the intended Cm Chord (C Eb G).
The Melodic Movement is from Chord Tone Bb (Consonant, a member of Gm),
through the Passing A (Dissonant, not a member of Cm)
to a Different Chord Tone -- G (Consonant, a member of Cm)
It is possible to have several passing notes in succession -- particularly when melodic movement is between 5th and Root of a chord.
Passing bass notes are not given their own harmonizations -- instead, harmony continues from previously established chord (alternately a chord-sounding could cease, in favor of a rest).
Above example from J.S. Bach Cantata No. 140 ("Wachet Auf"): VII. Chorale bass line...
https://en.wikipedia.org/wiki/Nonchord_tone
https://www.youtube.com/watch?v=3sj-NKqR0tw (7th movement is @ 26:38)
https://en.wikipedia.org/wiki/Wachet_auf,_ruft_uns_die_Stimme,_BWV_140
http://imslp.org/wiki/Wachet_auf,_ruft_uns_die_Stimme,_BWV_140_(Bach,_Johann_Sebastian)
Chord Tone Expression in Rhythm
Block Chords
Simultaneous presentation of Chord Tones (as examples above)
Broken or Arpeggiated Chords (Italian "Arpa" - "Harp")
Sequential presentation of Chord Tones
In Theory, the above construction is just as much an E Minor Chord (assuming Treble Clef) as it would be if presented as a simultaneously sounding collection...
A rapidly arpeggiated chord may feature the "wiggly line" arpeggio symbol below...
https://en.wikipedia.org/wiki/Arpeggio
Melodic Minor Scale
Raise Minor Scale Degrees b6 and b7 on the way up (ascending) to become the Major Scale's 6 and 7
(Le back to La, and Te to Ti) using Accidentals (Naturals or Sharps, depending on Key) --
The top of Melodic Minor Scales in ascension are identical to Tonic (Parallel) Major
Re-lower on the way down (descending) to the Natural Minor - 7 and 6, relowered to b7 b6 forms
(Ti back to Te, La to Le), again using Accidentals (Naturals or Flats, depending on Key) --
Descending Melodic Minor Scales are identical to Natural Minor usage...
C Melodic Minor
Scale Degrees: Ascending 1 2 b3 4 5 6 7 1 - Descending 1 b7 b6 5 4 b3 2 1
Solfege: Ascending Do Re Me Fa Sol La Ti Do - Descending Do Te Le Sol Fa Me Re Do
Note that composers are flexible in their usage of Natural, Harmonic, and Melodic Minor -
In Melodic Minor, Te and Le tend to be used when the goal is Sol... La and Ti when the goal is Do
Minor Scales are arguably one super-scale of intuitive tendencies re the sixth and seventh degrees...
C.P.E. Bach - Solfeggietto - Cm: Arpeggiated i and V chords, and a reverse usage of Melodic Minor!
https://www.youtube.com/watch?v=9rDGc69FQcY
https://en.wikipedia.org/wiki/Carl_Philipp_Emanuel_Bach
https://en.wikipedia.org/wiki/Solfeggietto
http://imslp.org/wiki/Solfeggio_in_C_minor,_H.220_(Bach,_Carl_Philipp_Emanuel)
Seventh Chords
Any Seventh Chord contains a 7th above the Root, in addition to 3rd and 5th
Dominant Seventh Chord (7) = Major Triad + m7
This is the Seventh Chord that appears on the Fifth Degree -- V -- Dominant -- of any Major Scale
(and Harmonic Minor), hence "Dominant 7th"
Ex. G7 (appearing as V7 in C Major) --- F
D
B
G
Dominant 7ths are extraordinarilly characteristic of Common Practice Tonality (c. 1650-1900)
https://en.wikipedia.org/wiki/Seventh_chord
https://en.wikipedia.org/wiki/Dominant_seventh_chord
https://en.wikipedia.org/wiki/Common_practice_period
Bb, Eb Major / B, F# Minor (expressed variously in Treble and Bass Clefs)
In scales, two general "rules-of-thumb" are to
1. keep the thumbs off the black notes
2. use the thumb on the next white note after leaving a black note
hence...
Recommended fingerings above for Bb, Eb Major, and F# Minor
(Bm is standard pentascale fingering - R.H. 12312345 / L.H. 54321321)
https://en.wikipedia.org/wiki/B-flat_major
https://en.wikipedia.org/wiki/E-flat_major
https://en.wikipedia.org/wiki/B_minor
https://en.wikipedia.org/wiki/F-sharp_minor
Keyboard-Solfege
Wolfgang Amadeus Mozart - Piano Sonata in C Major, K. 545: I.
(K as in Ludwig Kochel, cataloguer of W.A. Mozart, who wrote several C Major Piano Sonatas)
C: Do Mi Sol Ti Do Re Do
R.H. exercise, fingering as given in this probably-not-urtext excerpt (metronome not invented yet)
1 3 5 - reach down scale degree to B - 1 2 3 2
https://www.youtube.com/watch?v=meop0rG3tLc
(looks like a better score -
p rather than mp, no accents / fingerings / metronome mark, differing phrase marks)
https://en.wikipedia.org/wiki/Wolfgang_Amadeus_Mozart
https://en.wikipedia.org/wiki/Piano_Sonata_No._16_(Mozart)
https://en.wikipedia.org/wiki/Ludwig_Ritter_von_Köchel
https://en.wikipedia.org/wiki/Köchel_catalogue
Alberti Bass (after Domenico Alberti, who used such extensively)
An arpeggiated chord note succession of lowest, highest, middle, highest -
First theme of Mozart above is classic example
https://en.wikipedia.org/wiki/Alberti_bass
Sonata-Allegro Form
(used in Mozart above and Beethoven below)
Exposition Development Recapitulation
A A'
a b a' b'
In Major I V I* I
In Minor i bIII (rel maj) i I
(* Mozart K. 545 a' is IV)
https://en.wikipedia.org/wiki/Sonata_form
Selected Italian Tempo Markings (first appearing in Baroque Music, c. 1600-1750)
Basic Terms
Allegro - "Happy" - Fast
Moderato - Moderate
Andante - "Walking" - Slower [although some aver faster than] than Moderato
Adagio - Slow
Lento - Slow[er than Adagio]
Modifiers
Molto - Very
Poco - Little
Assai - Very much
Rubato - "Robbing of Time" - i.e. playing with rhythmic flexibility
https://en.wikipedia.org/wiki/Tempo
https://en.wikipedia.org/wiki/Metronome
Dynamics
(first appearance: Renaissance, c. 1400-1600, in Giovanni Gabrieli's Sonata Pian e Forte, 1597)
p = piano = soft (pp = pianissimo = very soft)
f = forte = loud (ff = fortissimo = very loud)
m = mezzo = half (mp = mezzo piano = half-soft; mf = mezzo forte = half loud)
cresc. = crescendo = gradually becoming louder
dim. (decresc). = diminuendo (decrecendo) = gradually becoming softer
https://en.wikipedia.org/wiki/Dynamics_(music)
Frederic Chopin - Prelude No. 6 in B Minor with "hairpin" cresc. and decresc. symbols in bass clef,
plus a long phrase mark for bass melody (looking like an extensive slur), also accents and tenuto (held) short slurs for treble clef B's (the eighth notes are not tied)...
https://www.youtube.com/watch?v=ISQdvh1BMuI
(@ 6:42, though an awful lot of Rubato for my taste)
https://en.wikipedia.org/wiki/Frédéric_Chopin
https://en.wikipedia.org/wiki/Preludes_(Chopin)
http://imslp.org/wiki/Preludes,_Op.28_(Chopin,_Frédéric)
Theme and Variations Form
A A' A'' A''' etc.
https://en.wikipedia.org/wiki/Variation_(music)
https://www.youtube.com/watch?v=xyhxeo6zLAM
https://en.wikipedia.org/wiki/Twelve_Variations_on_%22Ah_vous_dirai-je,_Maman%22
http://imslp.org/wiki/12_Variations_on_%22Ah,_vous_dirai-je_maman%22,_K.265/300e_(Mozart,_Wolfgang_Amadeus)
Other Music Referenced in Week 7
Franz Joseph Haydn - Symphony No. 94 ("Surprise"): II
(Theme and Variations in C Major, with Arpeggiated Descending G7, and
Third Variation in C Minor and Eb [Relative] Major)
https://www.youtube.com/watch?v=mNwMXj0Y1_Y
https://en.wikipedia.org/wiki/Joseph_Haydn
https://en.wikipedia.org/wiki/Symphony_No._94_(Haydn)
http://imslp.org/wiki/Symphony_No.94_in_G_major,_Hob.I:94_(Haydn,_Joseph)
Wolfgang Amadeus Mozart - Violin Concerto No. 5 ("Turkish"): III
(A Major, plus Relative [f#] and Tonic/Parallel [a] Minors)
https://www.youtube.com/watch?v=4YhWY74RdmU
https://en.wikipedia.org/wiki/Violin_Concerto_No._5_(Mozart)
http://imslp.org/wiki/Violin_Concerto_No.5_in_A_major,_K.219_(Mozart,_Wolfgang_Amadeus)
Ludwig van Beethoven - Symphony No 5: I
(In Expositon -
First Theme C Minor - Sol Sol Sol Me / Fa Fa Fa Re
Second Theme in Relative Major - Eb - Sol Do Ti Do Re La La Sol)
https://www.youtube.com/watch?v=NWEVKyEwi4A
https://en.wikipedia.org/wiki/Ludwig_van_Beethoven
https://en.wikipedia.org/wiki/Symphony_No._5_(Beethoven)
http://imslp.org/wiki/Symphony_No.5,_Op.67_(Beethoven,_Ludwig_van)
Hector Berlioz - Symphonie Fantastique: V. Dream of a Witches' Sabbath
(including Thomas of Celano's Dies Irae, transposed to C Minor,
against church bells' Do Do Sol)
https://www.youtube.com/watch?v=cao6WyF-61s
https://en.wikipedia.org/wiki/Hector_Berlioz
https://en.wikipedia.org/wiki/Symphonie_fantastique
http://imslp.org/wiki/Symphonie_fantastique,_H_48_(Berlioz,_Hector)
***
It's W.A. Mozart's Piano Sonata in C Major, K. 545: I. Allegro as Dictation / Keyboard-Solfege / Board Harmony for the Theoreticians,
followed by Quiz 6,
with selections from Claudio Monteverdi, Carlo Gesualdo, Heinrich Schutz, Henry Purcell, Arcangelo Corelli, Antonio Vivaldi, and J.S. Bach.
Another
very early hour,
on the 191st day of summer,
high down 7 to 75
(locally and
in
Pleasant
Hill --Berkeley / Pinole, 67; San Francisco, 68) --
heading,
via 4
and
80
towards
SF
thereafter
for
the
first
rehearsal
of
San Francisco Composers Chamber Orchestra's Time Travails show (8pm, Saturday, October 13, 2018, St. Mark's Lutheran Church, 1111 O'Farrell Street)
***
SAN FRANCISCO
COMPOSERS CHAMBER ORCHESTRA
Mark Alburger, Music Director
Time Travails
7pm, Thursday, October 4, 2018
Lick-Wilmerding School, 755 Ocean Avenue (Access from Geneva Avenue)
Mark Alburger and Martha Stoddard, conducting
Program
7:00 Erling Wold
She Who Is Alive (2018) (14')
3111 2110 Voice Pf 2Perc 11111 (19)
7:35 Roberto Becheri
War Poems (2018) (11')
1111 1110 2Narr 3Perc 11111 (17)
8:10 Stardust
Home (11')
3111 1100 Pf Perc 11111 (15)
8:45 Break
9:00 Alex Ness
Contrafacts (2018) (13')
1111 1100 Pf Perc 11111 (13)
I. Pretty Little Eyes (4')
II. You You You (5')
III. Me Me Me (4')
9:35* Harry Bernstein
Quintet for Strings (8')
0000 0000 11210
9:35* Kat Walsh
3 Dances for 4 Winds (8')
1111 0000 00000
* rehearsed simultaneously in different rooms...
***
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