We may take as an example the Tuba Skinny album in Italy of New Orleans Jazz
https://www.youtube.com/watch?v=8QeGi4HGkCk&t=1047s
This book is for learning music composition and improvisation , based on more abstract mathematics of the music, the rhythm and the musical instrument and with new musical practice. It is a new awareness and method to link mental perception-images, the creation of feelings and finger actions. The true goal of composition and improvisation is the existential process of creating and listening it. It is both individually healing and socially celebrating.
We may take as an example the Tuba Skinny album in Italy of New Orleans Jazz
https://www.youtube.com/watch?v=8QeGi4HGkCk&t=1047s
As we have mentioned in the articles about chromatic toanlity, the full chromatic toanlity is created
when besides the 7 notes of the original diatonc scale 1,2,3,4,5,6,7, we also utilize the 5 chromatic or blue notes 1#, 2#, 4# , 5# , 6# .
The 4 methods are
1) Utilizing the lower and upper relative major diatonic (6 major and 4 major) as in the post 373
2) By utilizing the harmonic minor which adds the blue note 5#, the double harmonic minor which adds the blue notes 2# and 5# and the 7b inverse harmonic minor or 1 blues heptatonic scale which adds the blue notes 2#, 4#, 6#. In total all 5 blue notes thus full chromatic tonality. It canbe done also by utilizing only the harmonic minor and the blues heptatonic scale without the double harmonic minor.
3) By utilizing the 1# diatonic scale or the 1b diatinic scale in addition to the 1 diatonic scale! Thus two diatonic scales with the roots one semitone away.
4) By utilizing two cycles of 7 chords as connected arcs in the whell bu 4ths. The first cycles is all the diatonic 7d-3m-6m-2m-5M-1M-4M
The seconds 7-cycle turns some minors to majors and the 5m to 5m
It is the cycle 7M-3M-6M-2M-5m-1M-4M
The melodies o play should be based on the middle 3rd notes of the chords.
An alternative pair of 8-cycles of chords is the next
4#m-7m-3M-6m-2m-5M-1M-4M
The seconds 8-cycle turns some minors to majors.
4#M-7M-3M-6M-2m-5M-1M-4M
Examples of happpy and nice chord progressions in chromatic tonality in Portugues guitar folk music (E.g. Jorge Fontes https://www.youtube.com/watch?v=A6c34JP3JsE&t=150s&ab_channel=tbanjotbanjo )
FULLY CHROMATIC OVERTONES FLUTES :REDESIGNING THE NEY TOWARDS THE NOTES LAYOUT IDEA OF TROMBONES AND VALVED TRUMPETS
Normally an overtone flute plays a major chord with 7nth with the overtones
The overtones 2-3-4-5-6-7-8 are as steps in diatonic scale the
1-5-1'-3'-5'-7'-1''
Now by closing half the only end hole ofthe overtone flute we may get the 7 major chord
7-4#-7'-2'#-4'#-7'b-7''
When closing fully the only one end hole we get the same notes of the initial major chord but with one octave lower.
From a simple point of view the 1 major chord together with and 7 major chord givea hexatonic scale which is a subscale ofthe 7-notrs double harmonic minor scale!
But there is also another insteresting complication.
For some reason which is that the overones in the various octaves do not fall exactly upon the notes of the piano or bach scale, instead of 3 note with a close hole weget a 2 note . This in total
we get an 8-notes scale the
1-2-2#-3-4#-5-7b-7-1' which isnothong else than the INVERSE SAMBA SCALE (8 notes scale) .
In semitones the Shambach scale is 2 1 1 3 1 2 1 1 | Sabach (Sambah): Greece |
See post 227
We may notice also some nice other scales the are derived by playing obnly one hole of this flute.
We may alsonotice that the 2nd 4th 5th holes are the holes of a corresponding Fujura flute whenthe other do not exist
Then if we play the tube hole with the 1st fujara hole which here is the 2nd front hole we can easilty calculate that the resulting scale is a 8-notes scale and no other than a Bebop scale ! E.g. if the flute is with roor C it is the G/D Bebop dominant 8 notes scale. (see https://en.wikipedia.org/wiki/Bebop_scale)
If we play the tube hole with the 2nd Fujara hole or 4th hole in the chromatic overtones flute we get the augmented 6-tonic scale
And if we play the tube hole with the 3rd Fujara hole or 5th chromatic overtones hole we get the Genus Secundum 6-tonic scale which is also called enharmonic 6-scale in the hexatonic harmonicas in post 367.
Below we discuss how by opening 6+1 new holes we get all the 12-notes chrmatic scale!
I have crafted one more such chromatic overtone flute at Bb4 with the 6+1 chromatic fingering system. It is in the range of the standard piccolo trumpet although it is about 7 cm long .
The difference
with the fingering chart of such a chromatic overtone flute from that of
a trombone with its 7 positions or a valved trumpet is slight and is that while
at the trombone and trumpet the slide and the valves create a chromatic
extension lower than the root note, in the above chromatic overtones
flute the holes create a chromatic 5-notes scale higher than the root
note.
Besides this
difference, the idea of the fingering is essentially the same.
Such chromatic
overtones flutes are perfect to improvise in jazz and folk music with chromatic
tonality with similar advantages to that of a valved brass wind.
All diatonic
scales are more or less fair in mutual favoring and by shifting in the
overtones when playing and correcting chromatically as part of the
improvisation melody itself, makes improvisation easier and charming!
HOW 3,4 AND 5 NOTES SUBSCALES COMBINE WITH CHORDS IN CHORD PROGRESSIONS
If we want to correspond simple patterns of harmony with simple patterns of melody then
1) Threechords in other words 3 consecutive notes subscales correspond to triads of chords that have distance of roots an interval of 2nd. And there are so many such 3-scales as are the notes of each chord. Furthermore threechords occur externally as linking bridges to consecutive chords of the chord progression, when the chord progression have roots that have a distance an interval of 3rd.
2) 5-chords in other words 5 consecutive notes subscales with total length an interval of 5th occur internally to each chord of the chord progression
3) tetra-chords in other words 4 consecutive notes subscales with total length an interval of 4th occur externally as linking bridges to consecutive chords of the chord progression, when the chord progression is an arc of the wheel by 4ths or more generally the roots of the consecutive chords differ by an interval at most of 4th.
THE MIRACULOUS TETRACHORD:
The previous explains why when improvising over a diatonic scale and a chord progression by chords of it, each time the chord changes, it is at most within a tetrachord that contains the last "staying" note (melodic center) of the last chord that we find the next "staying" note (melodic center) of the next chord.
As it is known in a diatonic scale there are 3 triads of chords
1) The triad of majors 1M-4M-5M
2) The triad of minors 3m-6m-2m
3) The minors-diminished triad 7d-3m-6m
By converting the latter 2 triads to majors we have the
2b) 3M-6M-2M which is also the triad of majors of 6 major
3b) 7M-3M-6M which is also the triad of majors of 3 major
By doing so we get also all the 5 chromatic notes relative to the original 1 major diatonic scale in other words the 1# , 2# 4#, 5# except the 6# . But the 6#=7b can also be obtained by the 1M7 thus an full chromatic tonality.
The final sequence of major chords set in the wheel by 4ths (or 5ths) is
7M7->3M7->6M7->2M7->5M7->1M7->4M7
THUS THE VERY WELL KNOWN CYCLE OF 7 CHORDS IN THE WHEEL BY 4THS!
A gradual covering of all these 7 chords can be so that at each of the 3 stages we always have one triad of majors and 2 triads of minors or diminsihed!
For example
1st phase [from 1 major scale]
(1M -4M-5M), (3m-6m-2m), (7d-3m-6m)
2nd phase [from 6 major scale)
(1m -4m-5m), (3m-6m-2m) (7M7-3M-6M)
3rd phase [from 3 major scale]
(1m -4m-5m), (3M7-6M7-2M7), (7d-3m-6m)
Finally if we want to correspond simple patterns of harmony with simple patterns of melody then
1) Threechords in other words 3 consecutive notes subscales correspond to triads of chords that have distance of roots an interval of 2nd. And there are so many such 3-scales as are the notes of each chord. Furthermore threechords occur externally as linking bridges to consecutive chords of the chord progression, when the chord progression have roots that have a distance an interval of 3rd.
2) 5-chords in other words 5 consecutive notes subscales with total length an interval of 5th occur internally to each chord of the chord progression
3) tetra-chords in other words 4 consecutive notes subscales with total length an interval of 4th occur externally as linking bridges to consecutive chords of the chord progression, when the chord progression is an arc of the wheel by 4ths or more generally the roots of the consecutive chords differ by an interval at most of 4th. This explains why when improvising over a diatonic scale and a chord progression by chords of it, each time the chord changes, it is at most within a tetrachord that contains the last "staying" note (melodic center) of the last chord that we find the next "staying" note (melodic center) of the next chord.
The basic idea here is to chose a source od simplicity and invarious degrees in time more complexity and returning to the simplicity. Thus SIMPLICITY->COMPLEXITY->SIMPLICITY , ETC and also by REPETITION , ASSIMILATION, INNOVATION . THE MAIN CONCEPTIS TO CREATE A "FLOW" AND REMAIN INTHE "FOW" A TERM OF PSYCHOLOGY THAT DESCRIBES THE FLOW OF ENERGY AND CREATIVE FORCE FROM THE IMMORTAL SOUL TO THE MORTAL PERSONALITY . The improvisation with such a melodic percusion instrument like a handpan or tongue drum (which is much like a metallophone) is the 1st type of improvisation (single instrument and unpredictable rhythm, unpredictable harmony, unpredictable melody ) as in post 295.
We should not forget of course the 3 principles of improvisation as the post 295,
BASIC PRINCIPLE 1=HARMONY POLARITY
BASIC PRINCIPLE 2: MELODIC MONOTONICITY-VARIATION POLARITY
BASIC PRINCIPLE 2: THE BIOWARE OVER THE HARDWARE.
For analysis of these 3 principles see post 295.
THE 4 SOURCES OF SIMPLICITY AND CO9NSTANTS REPETITIONS ARE
1) RHYTHM CONSTANTS(GROOVE) (We keep the rhythm invariant and we shift
it over the musical notes and octaves)
2) ASCENDING-DESCENDING-STAYING SHAPE OF A MELODIC THEME CONSTANTS (We keep
the melodic theme shape invariant and we translate in the scale , or invert it
or elongate it)
3) A BASS LOOP THAT REPEATS (OSTINATO CONSTANTS) (We keep a bass
loop invariant and we enhance it with melodic themes)
4) ONE OR TWO CHORDS ALTERNATION (CHORDS CONSTANTS) (We keep the
harmony of the 1or 2 chords invariant and we create parallel fitting melodic
themes)
Here is a video by a nice girl and improviser who explains these 4 sources of simplicity
https://www.youtube.com/watch?v=PEuwaKR0cbY&ab_channel=AmyNaylor