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The Learning Pyramid

Visual Music SoundScenes' great strength is its flexibility. It can be just as useful for a musical beginner as it can to some who has studied music for decades. We use the metaphor of a pyramid in a desert to describe ViMS' flexibility advantage

The ViMS Learning Pyramid
'Vox clamanti in deserto'
(A voice crying in the wilderness)


The four faces of the pyramid represent "Performance," "Theory," (the two shown above on the two visible faces of the pyramid), Musical Creation, and Musical Education (the latter two being hidden on the back side of the above pyramid).

There are also four levels of attainment in music, as shown in the above illustration of a pyramid on its surrounding desert. The lowest level belongs to the "Uninitiated," who live without music on the desert; the second level, at the bottom of the pyramid, is for beginners, who learn here the fundamental elements of music; the next level up is for "Intermediates," who learn to apply the principles learned in the first level to performance, theory, creation or education--or to any combination of these. The top level is for experts, who will soon graduate from the pyramid entirely.

The four levels are as follows:

  • Education: Teaching and Learning Music - SoundScenes are a tool for teachers and students to access music in a sophisticated, enriching and satisfying way

  • Creation: Creating Music - SoundScenes enrich the creative aspects of both listening to and creating music. Creativity cannot be taught. However the disciplines that make creativity possible are easy to teach using SoundScapes

  • Performance: Practical Music - SoundScenes make it easy for vocalists, instrumentalists, even listeners to learn the universal musical language of Solfeggio. Tonic Sol Fa, the English brand of Solfeggio,likewise facilitates the process of learning the musical language more fully and enhances the learning of a musical instrument

  • Theory: Analysis/Theory of Music - SoundScapes provide a new nomenclature for musicologists and theorists to classify and analyze music. SoundScapes is a highly refined analytical tool for in-depth musical analysis, even while it enlarges one’s overall perspective of music


Musical Learning: A.S.S.U.M.E.  [The Art, Skill and Science of Understanding Music Easily].
(Instruct reader on use of hypertext links to read essays)


The Principal Elements of Music

In the beginning, musical learning proceeds as a purely aural experience. Only as the basic concepts begin to form in the listener's mind through careful listening practice does the musical masterpiece become an aesthetic, and, eventually, an intellectual, or cognitive experience.  Initially, the beginner responds to musical rhythms and melodies as sequences of individual sounds in patterns that make sense.

Rhythmic pulses,  recognized simply as varying durations and accentuations of sounds, seem to require least training, perhaps because rhythms are a familiar part of every day life.  Heart beats, breathing, walking, talking, time-telling--all these and many more daily activities involve rhythmic patterns we live with.  This is fortunate, for rhythm is the philsopher's elan vital of music-- a force that moulds even the basic frequencies of the individual tones that make up melodies and harmonies.  For practicing listeners who seek continuing growth in musical understanding, this ease is doubly fortunate, for rhythmic patterns serve as clear mnemonic labels by which to quickly recognize motives, subjects and themes essential to the understanding of musical forms and formulas.  Ability to recognize these marks a vital set of skills for understanding musical masterpieces, such as those  which make up the repertoire of Visible Music SoundScapes.  Without this ability, the dramatic significance of such great forms as 'Sonata Allegro,' 'Concerto Allegro,' 'Rondo,' 'Sonata Rondo,'  'Theme and Variations,' etc., will be lost upon the listener.  oIn short, musical forms are very important to the art of listening.

However, for the beginner, the concept of musical form establishes a difficult conceptual barrier.  How can music, the invidible art, have form, which is a visible entity? Actually, musical form is a figment of human musical memory, both for the creater and for the listener.  Thus the term musical form can have no meaning for the novice until such time as his musical learning has progressed sufficiently to enable  his or her musical memory to recognize formal elements.  To recognize form, the listener must have achieved sufficient ability to parse the music being heard, to identify recurrence, whether specific, varied, or even quite vague.  Visible Music SoundScapes really aid this process by making vivid all the main actions of music, such as rhythmic patterning,  melodic, harmonic, and tonal progressions, and such advanced concepts as thematic transformation, motivic disintegration, etc. Once the learner has made progress with recognizing rhythmic patterns,m as described above, he or she is ready to develop more advanced skills in musical intuition.
 

Recognizing the patterns of melodic sequences is the next skill in order of difficulty for developing musical awareness.  For the rare individual blessed with 'perfect pitch' such recognition is made easy, since the ear automatically registers the names of notes for the listener.  For most, however, parsing of melodies requires the development of the sense of relative pitch whereby the listener measures the intervals between pitches that make up a given melody.  Though seeming difficult at the outset, the skill for measuring melodic intervals is rather easily formed, as Guido of Arezzo discovered nearly ten centuries ago. His method, which no doubt originated in the liturgical practiceof 'solmization,' is learned with ease, by means of solfeggio, as the Italians named it, or 'Sol-fa-ing' it was known after the seventeenth century in England.  In developing this skill, the listener first identifies the key-note of a given melody as 'Doh,' then names the other notes in ascending order as 'Reh,'Mih,Fah,Sol,Lah,Tih, and then again 'Doh.'  The popular show-tune, 'Doe, a deer, a female deer' makes the acquiral of this skill  very easy;

Doh:  Doe, a deer, a female dear,
Reh: Ray, a drop of golden sun,
Mih: Me, a name I call myself
Fah: Fa, a long, long way to run.
Soh: Sew, a needle pulling thread,
Lah: La, a name to follow Sew,
Tih: Tea, a drink with jam and bread,
Doh: Which takes us back to Doe.

Here is a sample of the way this song reads in Visible Music Notation.
By clicking on this button "Demos" you may both see and hear the music:

The above-described sol-fa names are colored in accordance with a color-coding scheme which not only is helpful in identifying melodic notes, but is equally helpful with harmony- and tonality-identifications, as discussed below.  Each of these colors identifies an absolute pitch.  That is to say, all "C's," (or "Doh's") are always blue; all "D's," (or "Reh's") are always green; all "E's," (or "Mih's") are always yellow; all "F's" (or "Fah's") are always orange; all"G's" (or Soh's") always red; all "A's" (or "Lah's") always purple; and all"Tih's" always grey.  The intervals between these notes, as shown in the following table, also are absolute, as shown in the following:

Table of intervals from Doh

Doh Reh Mih Fah Soh Lah Tih Doh Reh Mih Fah Soh Lah Tih
Doh: Maj. 2nd                        
Doh:   Maj. 3rd                      
Doh:     Perf. 4th                    
Doh:       Perf. 5th                  
Doh:         Maj. 6th                
Doh:           Maj. 7th              
Doh:             Perf. 8ve            
Doh:               Maj. 9th          
Doh:                 Maj.10th        
Doh:                   P. 11th      
Doh:                     P. 12th    
Doh:                       M. 13th  
Doh:                         M. 14th

Table of intervals from Reh
 

Reh Reh Mih Fah Soh Lah Tih Doh Reh Mih Fah Soh Lah Tih
Reh Prime                        
Reh   Maj 2nd                      
Reh     Min 3rd                    
Reh       Perf. 4th                  
Reh         Perf. 5th                
Reh           Maj. 6th              
Reh             Min. 7th            
Reh               P. 8ve          
Reh                 Maj. 9th        
Reh                   Min. 9th      
Reh                     P. 11th    
Reh                       P. 12th  
Reh                         Maj. 13th

Similar tables may be constructed from all other notes of the scale.  And it will be useful for the learner to conbstruct tabulations for all remaining scale tones.  As a first assignment, continue the above process by constructing intervallic tables from the rest of the scale.  Maintain the color schemes, and figure out the intervallic sizes as best you can.

Actually, intervallic recognition is built into the Sol-Fa system intuitively.  Practicing Sol-Fa only a few moments each day, the learner quicly develops necessary skills for identifying and tuning intervals. (For a more detailed and more technical discussion of this subject, see ASSUME, Essay 1.  Scales, Intervals, Intonation and Temperament).
 
 

READING HARMONIC PROGRESSIONS

As these notes and intervals become familiar to the listener, chords, or harmonies next become part of musical awareness.  Harmonic combinations present the listener with simultaneous patterns of sound that at first seem difficult to identify, if only because of the wide variety of harmonic combinations that exist, the infinite variability, and the intrinsic complexity of each.  However, utilizing the color-coding discussed above greatly simplifies the matter for the beginner. Since the name of a note appears also in the name of a chord, more or less the same color coding applies throughout, the only differences arising from the need to distinguish between major, minor, augmented and diminished chords.  Quite simply, our recourse is to change the appearance, or texture, of the polygon surfaces--i.e. the "walls of the structures"  that represent harmonies, whereby major harmonies will be identifed by the same colors as the notes upon which they are based, while minor harmonies will show stippled versions of the same colors.  Diminished triad structures bear one downward chevron; diminished sevenths, two, and dimnished 9ths, three.  In similar fashion, augmented triads are shown by one upward chevron, augmented 7ths by two, and augmented 9ths by three.  When we come to extensions of these structures, particulaly in the works of Wagner and Debussey, other chevrons will be added for 11th-chords, 13th-chords, etc. Here is a simple table for identifying chords, or harmonies:
 

Table of Harmonies Classified  in Major Key

Major Minor Diminished Diminished 7th Diminished 9th Augmented Augmented 7th Augmented           9th
C: Doh c-minor (with stippling) c-diminished, with 1 downward chevron c-7th-diminished, with 2 downward chevrons c-9th-diminished, with 3 downward chevrons C-augmented, with 1 upward chevron C-augmented, with 2 upward chevrons C-augmented, with 3 upward chevrons
D: Reh d-minor (with stippling) d-diminished, with 1 downward chevron d-7th-diminished with 2 downward chevrons d-9th-diminished, with 3 downward chevrons D-augmented, with 1 upward chevron D-augmented, with 2 upward chevrons D-augmented, with 3 upward chevrons
E: Mih e-minor(with stippling) e diminished, with 1 downward chevron e-9th diminished with  2 downward chevrons. E-augmented, with 1 upward chevron. E-augmented: with 2 upward chevrons E-7th-augmented: with 2 upward chevrons E-9th -augmented, with 3 upward chevrons
F: Fah f-minor (with stippling) f-diminished, with 1 downward chevron f-7th-diminished, with 2 downward chevrons f-9th-diminished, with 3 downward chevrons F-augmented, with 1 upward chevron F-7th-augmented, with 2 upward chevrons F-9th-augmented, with 2 3 upward chevrons
G: Soh g-minor (with stippling) g-diminished, with 1 downward chevron g-7th-diminished, with 2 downward chevrons g-9th-diminished, with 3 downward chevrons G-augmented, with 1 upward chevron G7th-augmented, with 2 upward chevrons G9th-Augmented, with 3 upward chevrons
A: Lah a-minor (with stippling) a-diminshed, with 1 downward chevron a-7th-diminished, with 2 downward chevrons a-9th-diminished, with 3 downward chevrons A-augmented, with 1 upward chevron A7th-Augmented, with 2 upward chevrons A9th-Augmented, with 3 upward chevrons
B: Tih b-minor (with stippling) b-diminshed, with 1 downward chevron b-7th-diminished, with 2 downward chevrons b-9th-diminished, with 3 downward chevrons B-augmented, with 1 upward chevron B-7th-Augmented, with 2 upward chevrons B-9th-Augmented, with 3 upward chevrons

So much for the complexity of the harmonic element. In actual listening practice, the problem of parsing harmonies is much simpler, for almost all harmonies fall into one of three classes--the "Doh[C]" harmonies the "Tih[B]" and the "Reh", or super-tonic harmonies. The listener may identify each class by simply humming the basic note.  If singing "Doh" produces no sense of "Discord discomfort," the harmony belongs to the first class.  If there is discomfort, the harmony is probably a "Tih" chord.  Once the listener has established this classification, the next step must be find the sub-classification, for which purpose Sol-Fa-ing also comes into play.

For "Tih" harmonies there are four possible basic chords to check:  Beginning with the most frequent, the listener first sings the chordal melodic pattern, Tih-Soh-Re. If those sounds satisfy, the chord is the 'Dominant,' or "G Chord." If however, this pattern seems to fit, but creates the sensation that something is missing, the listener should then try "Tih-Soh-Re-Fah." If this fulfills, the chord is the "Dominant 7th," or "G-7th-Chord."  If neither of these patterns seems to fit, the listener should next try "Tih-Soh-Mih," the pattern that identifies the "Mediant" harmony, if there is a fit. If not, the one remaining pattern to try is "Tih-Reh-Fa," to check for the diminished triad on the leading tone.

For "Doh"-class harmonies there are also four basic patterns, plus a fifth "modulatory chord pattern." First comes the "Tonic" pattern which the listener identifes by singing Doh-Mih-Soh-Mih-Doh. If that pattern fits, the harmony is the Tonic chord of C-Major.  If not, the next pattern to try is "Doh-Lah-Fah," which spells the sub-dominant, or F-Major chord. Here, as in the case of the Dominant seventh chord, there seems a need for one more sound, the listener should try "Doh-Lah-Fah-Teh" or sub-dominant 7th chord, the Teh representing the lowered leading tone in the original key. This harmony often triggers a modulation to the sub-dominant key. In the process of modulation, the lowered sub-tonic becomes the fourth step of the new key, F Major, if departing from C-Major.  (See "Spelling Modulations," below). If that pattern does not fit the next pattern to try is "Doh-Mih-Lah" for the "Sub-mediant," or "a-minor" chord.

Finally, within the class of major tonalities, there are two basic "Super-Tonic," or "d-minor chords," firstly "Reh-Fah-Lah" which spells the regular super-tonic. The second, the four-note chord on Reh-Fih-Lah-Doh, or major Super-Tonic 7th chord often triggers a modulation, this time to the "Dominant" or "G-Major" key, (which is Soh-Tih-Reh" from the perspective of the key of C-Major).
 
 

Table of Harmonies Classified  in Minor Keys

Minor Major Diminished Diminished 7th Diminished 9th Augmented Augmented 7th Augmented           9th
c-minor (with stippling)   c-diminished,with 1 downward chevron c-7th-diminished, with 2 downward chevrons c-9th-diminished, with 3 downward chevrons C-augmented, with 1 upward chevron C-augmented, with 2 upward chevrons C-augmented, with 3 upward chevrons
d-minor (with stippling)   d-double-diminished, with triangle. double-diminished 7th with downward chevron & triangle double-diminished 9th-with triangle, 2 downward chevrons d-minor-augmented, with 1 upward chevron d-minor 7th -augmented, with 2 upward chevrons d-minor-augmented, 9th with 3 upward chevrons
e-flat minor: with stippling E-flat Major       E-flat-augmented: with 2 upward chevrons E-flat-7th-augmented: with 2 upward chevrons E-flat-9th -augmented, with 3 upward chevrons
f-minor (with stippling)   f-diminished, with 1 downward chevron f-7th-diminished, with 2 downward chevrons f-th-diminished, with 3 downward chevrons f-minor-augmented, with 1 upward chevron f-minor7th-augmented, with 2 upward chevrons f-minor 9th-augmented, with 2 3 upward chevrons
g-minor (rare) G-Major & G-Major 7th chord g-diminished, with 1 downward chevron g-7th-diminished, with 2 downward chevrons g-9th-diminished, with 3 downward chevrons g-minor-augmented, with 1 upward chevron g-minor 7th-augmented, 2 upward chevrons g-mnor 9th-Augmented, with 3 upward chevrons
A-flat minor (rare)
with stippling
A-flat -major        A-flat-augmented, with 1 upward chevron A-flat-7th-Augmented, with 2 upward chevrons A-flat-9th-Augmented, with 3 upward chevrons
B: Tih b-minor (with stippling) b-diminshed, with 1 downward chevron b-7th-diminished, with 2 downward chevrons b-9th-diminished, with 3 downward chevrons B-augmented, with 1 upward chevron B7th-Augmented, with 2 upward chevrons B9th-Augmented, with 3 upward chevrons

Here, the "harmonic spelling bee" more or less follows the steps shown in connection witht he major tonalities, as discussed above. However, there are new Sol-Fa syllables, as shown in the following chromatic scales, rising and descending

Syllables in Rising Chromatic Scale:  Syllables on Descending Chromatic Scale:
Doh-Dih-Reh-Rih-Mih-Fah-Fih-Soh-Sih-Lah-Lih-Tih-Doh Doh-Tih-Teh-Lah-Leh-Soh-Suh-Fah-Mih-Meh-Reh-Rah-Doh-Duh
C    C# D D#E FF#GG#A A#B    C     B   Bb AAbGGb FE Eb   Db   C     Cb

Spelling harmonies in minor modes is somewhat more complex, given broad use of both variables on the sixth and seventh degrees of the scale.  There are still, however, mainly three test-tones, namely Doh, Tih and Reh, as before. The "Doh" harmonies closely follow the Major model, now playing out as: Doh-Meh-Soh(C-Eb-G) for the minor tonic chord,  Doh-Meh-Leh(C-Eb-Ab) for the Major Sub-Mediant on flatted root, and Doh-Leh-Fah(C-Ab-F ) for the minor sub-dominant.  Infrequently, the Major Sub-Dominant (F-A-C) will  be encountered, its sound being easily self-evident.

The first and last of the "Tih" chord patterns, the Dominant and the leading tone diminished triad remain the same as in the Major keyes. While the Mediant chord, Tih-Soh-Meh emerges as an augmented triad, Eb-G-B, so spelled.

The Super-Tonic chord emerges either as a diminished triad, Reh-Fah-Leh (D-F-Ab), or as a minor triad: Reh-Fah-Lah.  The modulatory forms, Reh-Fih-Lah & Reh-Fih-Lah occur quite frequently.

MODULATION

Modulation is also fairly easy to learn to understand.  To modulate either to the "Dominant Key" of the Subdominant Key, a resident triad is altered so that it will conform to the Dominant 7th harmony of the new key. When modulating to the Dominant, the composer merly sharpens the 4th degree of the scale (conferting Fah to Fih) using the new harmony to affirm the new key, and repeating it one or more times to confirm the same.  To modulate to the Sub-Dominant, the mere process of adding a flatted seventh (hence, the pattern Doh-Mih_Soh-Teh, or  C-E -G-Bb ) to the Tonic Triad affirms the Sub-Dominant as the new key.  With just a little practice, the listener soon learns to spot  modulations merely by the frequent appearance of the altered tones, Fih instead of Fah, or Teh as a part of the Tonic harmony.

 

 
       
    Revised:  
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