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Tuesday, November 5, 2019

280. IMPROVISATIONAL SONGS THAT THEIR CHORD PROGRESSION IS A REPEATING CYCLE OF CHORDS

(This post has not been written completely yet)

VECTORS, WAVES AND SPIKES
The identification and method of composition of them is based on the next concepts

1) As melody it has 3 layers (Simplicial submelody of the harmony, melodic arpeggio , diatonic chromatic arpeggio or ostinado)
2) Within each chord, it has 
2.0) A single note from the simplicial submelody
2.1) A projected and simplified melodic arpeggio
2.2) The full diatonic chromatic ostinado, which consists from
a) Diatonic chromatic maxima VECTORS
b) Diatonic chromatic RIPPLES or waves or cycles or oscillations
c) SPIKES (jumps with intervals higher than 2nd)

THERE ARE HUNDREDS OF DIFFERENT SONGS ON THE SAME CHORD-CYCLE  AND THOUSANDS OF DIFFERENT IMPROVISATIONAL SONGS ON THE SAME CHORD-CYCLE.

 (see also post 17 and 29 , 145 ,148, 150)

THE ANCIENT MUSICAL THEORY SIMPLE DESCRIPTION OF RAPSODY MUSIC STIL LIVING IN THE AEGEAN ISLANDS LIKE THAN OF CRETE IN GREECE :

Such music was created in ancient times it  is mesmerizing with complicated melodic lines but in reality very simple musical description.

For example for Aegean islands (Greece) improvisational folk melodies (mandinades) condylies) with violin or Lyra, the next factors prevail.

1) "Poetic meters" over the same note sometimes notes up to 8 notes. The density of the notes is high. E.g. with 4 notes per  measure-bar and a beat of 80-100 bars per minute gives a tempo of 320-400 beats-notes per minute.

3) Straight vectors ascending or descending usually of 4 or 5 notes so as to reach a new chord neighborhood.

2) Mainly waves by intervals of 2nds (chromatic) inside intervals of 3rds (melodic, either standing or ascending descending, and usually inside a chord  so as to reach the neighborhood of a new chord. The simplistic sub-melody of such a waving melody is essentially an arpeggio of the underlying chord.


A) THE UNDERLYNG CHORD OF THE SONG IS ONLY ONE AND IS A POWER  CHORD AT ROOT POSITION OF SAY A DIATONIC SCALE (ALTHOUGH IN ANCIENT TIMES THEY DID NOT HAVE THE CONCEPT OF A  7-NOTES SCALE BUT ONLY OF A 4-NOTES SCALE THE  TETRACHORD WHICH WAS A SCALE SPANING ONLY AN INTERVAL OF 4TH INSTEAD OF AN INTERVAL OF 8TH, THUS POWER CHORD WOULD BE THE ROOT POSITION ON THE TETRACHORD). 

SINGLE CHORD IMPROVISATION: We may as well alternate the root chord of a scale as power chord (only an  interval of 5th) with melodic themes (of 3 or 4 notes and inside  a three-chord or tetrachord ) based on each of the  the 3 notes of the root 3-notes or 4 notes chord and translated or inverted melodically by intevals of 3rd across the 3 or 4 notes of the roor chord. 
E.g. in  the Dorian mode of the C diatonic sacle and with an harp,  here


MANY CHORDS-CYCLE  IMPROVISATION: We do the same as with the one chord for each chord of the chord-cycle. with melodic themes (of 3 or 4 notes and inside  a three-chord or tetrachord ) based on each of the  the 3 notes of the underlying  3-notes or 4 notes chord and translated or inverted melodically by intevals of 3rd across the 3 or 4 notes of the roor chord. We may sure thatthe melodic centers are notes of the underlying chord. At the chord transition one of the previous three-chords or tetrachords of the melodic theme becomes the bridge between the 2 consecutive chords and we constinue as before.  

B) THE SOLOING IS ANY REPEATING PROGRESSION OF SHORT RYTHMIC MELODIC THEMES WITHIN A TETRACHORD WHICH  IS USUALLY  THE 1-2-2 IN SEMITONES THUS THE FRYGIAN TETRACHORD AT THE 3RD POSITION OF A  DIATONIC SCALE WITH UNDERLYING POWER CHORD AT THE ROOT POSITION OF THE TETRACHORD OR THE 3RD POSITIONOF A MODERN 7-NOTES DIATONIC SCALE. (SOMETIMES ALTERNATING WITH ANOTHER TETRACHORD E.G. THE IONIAN TETARCHORD AT ROOT POSITION OF THE 7-NOTES DIATONIC SCALE , AND IN ANY CASE THE ACCOMPANYING CAN BE ALSO BY THE POWER CHORD AT THE ROOT POSITION OF THE 7-NOTES DIATONIC SCALE IN INSTEAD OF THE 3RD POSITION OF THE DIATONIC SCALE)


THE MORE COMPLICATED BUT NOT  ALWAYS MORE ENLIGHTENING DESCRIPTION WITH MODERN SCALES AND CHORDS: 
We may create such nice loops, of 2 or 3 or more chords and parallel melodic themes as "dolphin words"  with arpeggiator applications in ipad like chordion, dot melody, arpeggist , fugue machine, ioniarics polyrhitmic arpeggiator , touchscaper etc (see post  12 )
We must notice that many application create looping melodic themes that are any sequence of notes, which allows for the loop to be acctually a repeating sequence of smaller melodic thems M1 M2 M3 ...Mn  (or "dolphin words")  one for each chord  C1 ,C2 C3,...Cn ofthe cycle of chords.
We may also utilize chord sequencers or chord progressions sequencer applications

 The symbols here mean M=major m=minor ,  dim=diminished , aug=augmented, the numbers 1,2,3,4,5,6,7 are the steps of a diatonic scale (ionian mode).
E.G.

 1) 1M
2) 5M7->1M
3) 6m->1M

4) 1M->4M->5M->1M    (Cretan matinodies, kondilies) 
or only 1M (3rd note) ->1M->5M7(5th note)->1M (3rd note)
or only 1M (3rd note) ->1M->1M->1M (3rd note)
e.g. as order of notes in a diatonic scale 
3 3 3 4 3 5 5 5 4  2 3 4 5 5 3
as rhythm from 15-syllables poetry
(1M         )
10010100
(5M7)1M
1001  010
(combination of poetry rhythms of anapestik  100 with trochaic 10 )
In addition to  rhythm, scale and chord progression we need also the statistical profile of the progression of the simplical melodic themes (see post 282) so as to determine the local style of the particular improvisations.
E.g. in Cretan Kondilies that have usually only two underlying chords (e.g. 1M->5M7->1M ) this progression during each chord (statistically determined rather than deterministically) defines the local style of the improvisational melody. E,g, 2 simplicial melodic themes for first 1M one for 5M7 and one back to 1M. In total 4 simplicial themes, the first 3 in a kind of variational repetition (translation or inversion) and one last and 4th closing one that may be mutated.
Examples of such progressions of simplicial melodic themes (or Dolphin words) are the next  (each vector-arrow is an oriented interval that fits to a single or more  underlying chord(s)).



Or


Or

Or



Dolphin words (=abstract order patterns of melodies) are beatifully composed with the arpeggiator
5)  5M7->1M7->4M   (Jazz, Celtic folk)
6) 2m7->5M7->1M    (Blues)
7) OTHER TRIAD CYCLES 
One of the simplest cycle of chords is 3 consecutive chords in the cycles of 4ths.

E.g. in the C major diatonic scale

Dm->G->C  (Western Jazz)  (2m-5M-1M) (happy)

G->C->F  (Irish folk)  (5M- 1M- 4M) (happy)

Em->Am->Dm (Eastern folk and latin too)  (3m-6m-2m)  (sad)
E.g.

 https://www.youtube.com/watch?v=BgS3zqzIpmU


Bdim->Em->Am  (Eastern Jazz) (7d-3m-2m)  (sad)

other combinations of major M, minor m, diminished d and augmented aug are

d-M-M  (happy)

aug-M-M  (happy)

aug-m-M  (sad)

aug-m-m  (sad)

M-m-m  (sad)

d-m-M (sad)

d-d-M (sad)

d-d-m (sad)

aug-aug-M (sad)

aug-aug-m (sad)

d-aug-M (sad)

d-aug-m (sad)

d-aug-d (sad)

aug-aug-d (sad)

etc

 In the next video the next 4 triads are harmonizing the 4 known minor scales

 5m->1m->4m =natutal minor (diatonic)

 5m->1m->4M= Dorian minor (diatonic)

 5M->1m->4M=melodic minor (chromatic)

 5M->1m->4m=harmonic minor (chromatic)

https://www.youtube.com/watch?v=kobgAsDZxsw&t=125s

and of course

there are also the combinations

5M->1M->4M =ionnian mode , major (diatonic)

 5m->1M->4M

 5m->1M->4m

 5M->1M->4m

 If the triad is harmoni only at one pair we get also the triads

 1M->2m->5M7  (blues)

 1M->6m->5M7  

 1M->3m->5M7  

4-CYCLES

8) 5M7->1M7->6m->4M  (Popular Pop)

 (E.G. https://www.youtube.com/watch?v=eObM-tAgeG0&t=1273s )

9) 6m7->2m7->5M7->1M  (Pop music 50s)

 (E.G. https://www.youtube.com/watch?v=gUNWjgaJEik&t=50s )
10) 6m->5M->4M->3M (Andalusian cadenza, part of the 1st chromatic tonal cycle as in 10))

(E.G.   https://www.youtube.com/watch?v=Li4izrMnd-I  or https://www.youtube.com/watch?v=2KE48jD5aVw  )

 11) 3m->1M->6m->7M7 (flamenco pharaon or tonal 2nd chromatic 4-cycle)

 E.g.    https://www.youtube.com/watch?v=BwDJ0e1fssw


12)   6m->4M->2m->3M7   (tonal 1st-chromatic 4-cycle)

 E.g. https://www.youtube.com/watch?v=XgJFV5K3NLc


13)   1M->7M7>3m->5M7_1M   (tonal 2nd-chromatic 4-cycle)

14)  1M->7M7>3M7->6m   (tonal 2nd-chromatic 4-cycle b)




 15) CHROMATIC INVERSE OF HARMONIC RESOLUTION PAIRS: DIATONIC SCALE 
In the chords of a diatonic scale, , we may reverse chromatically by 4 or 5 chords any harmonic resolution transition of two chords and this is already a cycle of chords:

 E.g,  5M7->1M ,which reversed chromatically as a cycle it is 

 1M->7dim->6m->5M7  (or  with 5 chords 1M->2m->3m->4M-5M7)

 similarly 

 4M->3m->2m->1M7     (or with 5 chords 4M->5M->6m->7dim->1M7 )

 and 

 6m->5M->4M->3m7    (or with 5 chords  6m->7dim->1M->2m->3m7)

 and 

 2m->1M->7dim->6m7  (or with 5 chords 2m->3m->4M->5M->6m7)
16) CHROMATIC INVERSE OF HARMONIC RESOLUTION PAIRS : 1ST CHROMATIZATION OF DIATONIC SCALE:  In the chords of the 1st chromatic version of the  diatonic scale, , we may reverse chromatically by 4 or 5 chords any harmonic resolution transition of two chords and this is already a cycle of chords:

 E.g,  3M7->6m ,which reversed chromatically as a cycle it is nothing else than the Andalussian cadenza

 6m->5M->4M->3M

 And also the next such cycles

 1M->7M7->6m->5M7  (or  with 5 chords 1M->2m->3M7->4M-5M7)

 and  similarly 

 4M->3M->2m->1M7     (or with 5 chords 4M->5M->6m->7M7->1M7 )

 and 

 6m->5M->4M->3M7    (or with 5 chords  6m->7M7->1M->2m->3M7)

 and 

 2m->1M->7M7->6m7  (or with 5 chords 2m->3M->4M->5M->6m7)
17) MELODIC INVERSIONS OF HARMONIC RESOLUTION PAIRS. 1ST CHROMATIZATION OF DIATONIC SCALE:  In the chords of the 1st chromatic version of the  diatonic scale,  we may reverse MELODICALLY (in other words with chord transitions in relatives relation) by 4 or 5 chords any harmonic resolution transition of two chords and this is already a cycle of chords:

 5M7->1M->6m->4M->2m->5M7

 or 

 5M7->1M->6m->4M->2m->7M7->5M7


18) 3M7->6m->5M7->1M  (4-cycle from 1st chromatic diatonic chord cycle, Andean Music)
5-CYCLES

19) 3M7->6m->2m7->5M7->1M  (5-cycle from 1st chromatic diatonic chord cycle)

20) 6m->2m->5M->1M->4M   (5-cycle ,Most popular Pop)

20.1)  1M->4M->3M7->6m->6M7->2m->1M (Scandinavian folk tunes)


6-CYCLES

21) 3m->6m->2m->5M7->1M->4M  (6-chords diatonic cycle)
22) 6m->2m->5M7->1M->4M->3M7  (6-chords 1st chromatic tonal chords in melodic (relatives) relations).

 23) 1M->-6m->4M->2m->5M7->3m->1M  (6-cycle of melodic relations tonal chords)
7-CYCLES

 24) 7dim->3m7->6m7->2m7->5maj7->1maj7->4maj7  ( 7-chords diatonic cycle))


25) 6m7->2m7->5maj7->1maj7->4maj7->7M7->3M7

 (7-chords 1st chromatic diatonic cycle Jazz, Gypsy Jazz, Beethoven)
26)  6M7->2m7->5maj7->1maj7->4maj7->3M7->6m (Gypsy jazz)

 In the next 7-cycles only one of the 3 minor chords or diminished is turned in  to a major chord

 24.1)   5M7->1Μ->4Μ->7dim->3m->6M7->2m->5M7  (Scandinavian folk)

 24.2)   5M7->1Μ->4Μ->7dim->3m->6m->2M7->5M7  

 24.3)   5M7->1Μ->4Μ->7M7->3m->6m->2m->5M7  
24.4)   5M7->1Μ->4Μ->7dim->3M7->6m->2m->5M7  25) 7-chords melodic diatonic cycle (by relative chord transitions)

 24.5)   5m7->1Μ->4Μ->7dim->3m->6M7->2m->5m7  (Scandinavian folk with 6M7 and 5m7)

6m->1M->3m->5M->7dim->2m->4M->6m


27) 7-chords melodic 1st chromatic diatonic cycle (by relative chord transitions)

6m->1M->3M7->5M->7dim->2m->4M->6m

28) 7-chords melodic 2nd chromatic diatonic cycle (by relative chord transitions partly mixed with harmonic relations)

 1M->6m->4M->2m->7M7->3m->5M7->1M  (3melodic  2harmonic transitions )or
6m->1M->3M7->5M->7M7->2m->4M->6m (6melodic  1 chromatic  transitions )

 or 

 1M->7M7->3M7->6m->4M->2m->5M7->1M (2melodic  1 chromatic 3 harmonic transitions )
or
1M->6m->4M->2m->7M7->3M7->5M7->1M (4melodic  1 chromatic 2 harmonic transitions )

 7-chords melodic-harmonic 2nd chromatic diatonic cycle
or

 1M->3m->6m->4M->2m->5M7->3M7->1M (4melodic  1 chromatic 3 harmonic transitions )

 or

 1M->3m->6m->4M->2m->5M7->7M7->1M (3melodic  2 chromatic 2 harmonic transitions )

 or

 1M->7M7->3m->4M->3M7->6m->2M7->5M7->1M 

 (0 melodic  3 chromatic 5 harmonic transitions )

 or

 1M->7M7->3m->3M7->6m->4M->2m (or 2M7)->5M7->1M 

 (3 melodic  1 chromatic 4 harmonic transitions )

 or

 1M->4M->3M7->6m->6M7->2m (or 2M7)->5M7->1M 
(1 melodic  1 chromatic 5 harmonic transitions )

 or

 1M->4M->7M7->3m->3M7->6m-> 2M7->5M7->(5aug)->1M 
(1 melodic  1 chromatic 6 harmonic transitions )

 or 

 1M->7M7->3m->4M->3M7->6m->2m (or 2M7)->5M7->1M 
(0 melodic  3 chromatic 5 harmonic transitions )

 or 

 1M->4M->7M7->3M7->6m->2m (or 2M7)->5M7->1M 
(0 melodic  1 chromatic 6 harmonic transitions )

 or 

 1M->7M7->3m->4M->2m->5M7->3M7->(5aug)->1M
(3 melodic  2 chromatic 3 harmonic transitions)
29) Small 4-chords melodic chromatic tonal cycle

 1M->3m->5M->7M7->1M or

30) Small 5-chords melodic chromatic tonal cycle

1M->6m->4M->2m->7M7->1M  or

 1M->6m->4M->2m->7M7->3M7->1M  

29) more than 7 chords:

 6m->6M7->2m->5M7->1M->4M->2m->7M7->3M7->6m
31)  Other examples are , the next cycle of chords

 Bdim->Em->Am->Dm->G->C->F 

is a scale of chords of the simple type, that is a connected arc in the wheel of chords by 4ths, and the specifications of diminished, minor or major are set so that the particular scale of chords is also the chords of the major diatonic scale of notes!

Nevertheless we can alter that specification of the chords in which case more than one scale are produced:

B7->Em->A7->Dm->G7->Cm->F  or 

Bm7->E7->Am7->D7->Gm7->C7->Fm or 

B7->E->A7->Dm->Gm7->Cm->F  etc

Or 

B7->E(m)->A(m)->D(m)->G(m)->C->F

The E(m) means either major chord E or minor chord Em etc

The next scales of 7-chords have only two minor chords which complies with a desired ratio of minor chords not more than 1/3 of all chords

B7->E(m)->A(m)->D->G->C->F

B(m)7->E(m)->A->D->G->C->F

B7->E->A(m)->D(m)->G->C->F

B7->E->A->D(m)->G(m)->C->F

B7->E->A->D->G(m)->C(m)->F

B7->E->A->D->G->C(m)->F(m)


Or we may alternate minor major once at odd chords and once at even chords e.g.

B7->Em->A->Dm->G7->C->F->Bb->B7->E->Am->D7->Gm->C7->F->Bb->B7->E 
Larger scales are from 12-chords 

G#->C#->F#->B->E->A->D->G->C->F->Bb->Eb

or 


G#->C#->F#->B->Em->Am->Dm->G->C->F->Bb->Eb



Other simpler scales from chords are of 4 only chords e.g.


G->C->F ->Bdim7 etc

or 

G->C->F ->Caug(or G#aug) etc

or they can be based on wheel by 3rds and alternating minor major relative chords 
e.g. 

G->Em->C->Am->F >Dm->G etc
32) THE GENERAL PATTERN OF CHORD-CYCLES  WITH ALTERNATING CHORD-RELATIONS OF 
CHROMATIC-MELODIC ,CHROMATIC-HARMONIC , HARMONIC-MELODIC , HARMONIC-HARMONIC, MELODIC-MELODIC, CHROMATIC-CHROMATIC CHORD-TRANSITIONS.

This is a progressions X1->X2->X3->...->Xn  where the Xi->Xi+1  and Xi+1->Xi+2 is an alternation of chord relation and  transitions of the chromatic-melodic   , chromatic-harmonic,  melodic-harmonic,  chromatic-chromatic, melodic-melodic or harmonic-harmonic relations. 
Such constant alternating patterns of chord relations somehow determine also that the melodic themes (either within a single chord or within a chord transition), are structured and translated or inverted or expanded with similarly alternating intervals of 2nd, 3rd or 4th/5th. 




THE GENERAL PATTERN OF A CHROMATIC DOUBLE SCALE OF CHORDS 

Here is an alternative way to produce not harmonic scales of chords (based on the harmonic relation of chords) but chromatic scales of chords based on the harmonic relation of chords but which still involve the other two chord relations the melodic and the harmonic 


WE START WITH A CHROMATIC CADENZA OR ASCENZA  in semitones 2->2->1  or 1-3-1 or 1-3-1-1-3-1 in harmonic and double harmonic minor scales,   and we paralel chords rooted on such notes X1->X2->X3->X4 with chords 

Y1->Y2->Y3->Y4, such that the relation of Xi with Yi is either in a relation of being  relative chords (melodic relation of chords) or a 4th apart (harmonic relation of chords) 

Of course the less total number of different chords that we may use is better and it sounds more familiar if such chords belong to an harmonic personality (diatonic or harmonic minor or double harmonic minor etc).We may use either minor or major chords. 

TRIPLE ALTERNATION OF CHORD-TRANSITIONS

More generally   and we paralel chords  X1->X2->X3->...->Xn  that are in  one of the relations chromatic, melodic harmonic , with chords X1->X2->X3->...->Xn so that the relation of Xi with Yi is always constantly in one of the 3 basic relations  relative chords (melodic relation of chords) or a 4th apart (harmonic relation of chords) .

When playing the scale as progression X1->Y1->X2->Y2->... it is equivalent with having a triple alternation of chord relation and  transitions of the chromatic-melodic   , chromatic-harmonic,  melodic-harmonic,  chromatic-chromatic, melodic-melodic or harmonic-harmonic relations and a third which is variable. 

Such constant alternating patterns of chord relations somehow determine also that the melodic themes (either within a single chord or within a chord transition), are structured and translated or inverted or expanded with similarly alternating intervals of 2nd, 3rd or 4th/5th. 

 ETC.


In order to create the melody over such a  cycle of chords we may proceed as follows.

1)We compose 2 or 3  simplicial sub-melodies one for each part of the song ,  with one note per chord, over the cycle of chords preferably at a chromatic sequence ascending and descending . 

2) We create moves or waves for each note of the simplicial sub-melody by sequencing during the chord with two types of notes a fast (usually outside the chord) and a slow of double duration on the notes of the chord again ascending or descending with smaller waves

3) We arrange a continuous sound instrument to play the simplicial sub-melody only and a discrete sound (guitar mandolin etc) to play the full waves melody.
Other determinations of these songs or improvisations;


0) THE HARMONY.

Although the cycle of chords is fixed, the order and duration that these chords are played may vary, from song to song, or even inside the same song ("random" permutation of the chords of the cycle).
E.g. 1M->4M->5M->1M    (Cretan matinodies, kondilies) 
or only 1M (3rd note) ->1M->5M(5th note)->1M (3rd note)
or only 1M (3rd note) ->1M->1M->1M (3rd note)



1) The rhythm:
The duration of the beat is determined by clock-standards. Then each chord of the cycle is determined how many beats has duration. Furthermore, the rhythm is specified as in post 10. Usually, the powers of 2 are utilized. So a triad of chords will have a repetition of a chord in duration. E.g. a cyclic pattern A B C A, of 4 groups of beats so that each chord has equal duration will also determine a variational repetition pattern of the variating melodic themes, usually 3 variations and the last time a resolution.  The melody itself can be classified to the simplicial say in 4 chord-durations, or the normal in 8 chord half durations, or embellishing in 16  chord quarter durations, or fast embellishing  32 , eighths chord durations etc.
Initially, it seems that the rhythm of the main melody was patterned over 15-syllables poetry, with 4+4 beats at the first line of 8 syllables and 4+3 beats at the 2nd line of 7 syllables.
The term mantinodies is quite similar and meanings and methods with the term rhapsody of the ancient poetry of homer (Iliada, Odyssia etc)
E.g. for Cretan mantinodies (condilies)

as rhythm from 15-syllables poetry
10010100
1001010
(a combination of anapestik  100 with trochaic 10 )






2)  The pitch order pattern of the roots of the chords of the chord-cycle.
In general, there are 4 classes:
1)The ascending (happy)
2) The descending (unhappy)
3) The upper cyclic (happily sad),
4) The lower cyclic (sadly happy).

This is a general pitch order pattern which of course has emotional significance: Increasing pitch order in the roots =joy, decreasing pitch order in the roots=sadness.

e.g. as order of notes in adiatonic scale (Cretan mantinodia, condilia)
3 3 3 4 3 5 5 5 4  2 3 4 5 5 3


3) The pitch order pattern of the induced by the melody harpism (permutation) of the notes of each chord.  

Although the part of the melody accompanied by a single chord may have notes outside the chord, it will have also notes of the chord that it is expected that they have a longer duration. Thus this part of the melody induces a permutation or harpist of the notes of the chord.

4) The variational repetition pattern of the melodic themes as part of the melody accompanied by a single chord.



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