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Showing posts with label 99. The hexagonal 2D patterns (Terpstra Keyboards) of the diatonic harmony. Show all posts
Showing posts with label 99. The hexagonal 2D patterns (Terpstra Keyboards) of the diatonic harmony. Show all posts

Thursday, June 28, 2018

99. The hexagonal 2D patterns (Terpstra Keyboards) of the diatonic harmony . Isomorphic layouts of notes

I CONSIDER THE IDEA OF A 2-DIMENSIONAL RECTANGULAR OR HAXEGONAL LATTICE (THE LATTER IS MORE DENSE) AS KEYBOARD CONFIGIRATION OF NOTES AS BEST OPPORTUNITY OF TOUCHSCREEN SOFTWARE AND BEST WAY OF ARRANGING NOTES FOR PLAYING MUSIC ,IMPROVISING AND COMPOSING. 
THERE ARE MANY DIFFERENT WAYS THAT THE NOTES CAN CORRESPOND TO THE VERTICES OF A HEXAGONAL LATTICE.

Isomorphic layouts of notes 

https://www.youtube.com/watch?v=ZczraF3dzU0&t=96s

FOR CHORDS THE BEST WAY SEEMS TO BE THAT OF NAVICHORD,, IN OTHER WORDS ONE AXIS BY FITHS AND IN ANOTHER AXIS BY 3RDS. FOR MELODIC IMPROVISATIONS ITIS INONE AXIS BY 5THS AND IN ANOTHER AXIS BY 2NDS.
The latter is as the harmonic-chromatic layout  here the Wicki-Hayden layout https://en.wikipedia.org/wiki/Wicki%E2%80%93Hayden_note_layout
Another is as here the harmonic-melodic layout https://en.wikipedia.org/wiki/Harmonic_table_note_layout

The Navichord (https://www.youtube.com/watch?v=xRdH_6cxLRg) is a wonderful application that sets the notes in 2-dimensional hexagonic arrangment as in the Serpstra keyboard. The major and minor chords are triangles of notes in it, and are played by pushing in the cenrer of the triangle. The 3 local relations ofthe chords (chromatic=no common notes, melodic=2 common notes and harmonic=1 common note) are immeditely seen.  The chord scales and chord progressions for  composition are realized by the chord sequencer .


http://terpstrakeyboard.com/


We will describe 3 different types of Terpstra keyboards for the diatonic harmony.

1) One based on the alternating major-minor intervals of 3rds (or short wheel by 3rds as in post  79 . Notice also the tuning of alternate minor and major thirds seem to occur for a 5-string Mexican instrument the Jarana huasteca https://en.wikipedia.org/wiki/Jarana_huasteca)
2) one based on the intervals of 5ths and 4ths, and
3) one based on the intervals of 2nds (tones and semitones). 

We will enumerate all possible hexagonal such Terpstra  keyboards for the diatonic harmony.

The value of such harmonic Terpstra  keyboards, is that they give very fast an convenient placement of notes as instrument,  for fast and easy, different types of improvisation.

(This post has not been written completely yet)