Microtonal, just intonation, electronic music software Microtonal, just intonation, electronic music software

Encyclopedia of Microtonal Music Theory

@ 00 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Login   |  Encyclopedia Index

gammier

(French)

[Pierre Lamothe]
 
Gammier structure
 
Gammier structure is
Gammoid structure with
 Fertility axiom
Gammoid structure is
Harmoid structure with
Regularity axiom
Contiguity axiom
Congruity axiom
Harmoid structure is
Chordoid structure on
rational numbers with
standard multiplication
standard order
finite chordoid congruence modulo 2
Chordoid structure
See Chordoid structure
 
It is sufficient to know at this level that any finite set of odd numbers
A = <k1 k2 ... kn>
generates a finite chordoid of classes modulo 2 with the matrix
A\A = [aij]
where the generic element is
aij = kj/ki
and a corresponding harmoid with the set
{2xa
. . . . . . . . .

The tonalsoft.com website is almost entirely the work of one person: me, Joe Monzo. Please reward me for my knowledge and effort by choosing your preferred level of financial support. Thank you.

support level