4 
NOTES ON THE PRINCIPLES 
in their system. A reference to their Enharmonic Scale 
will demonstrate this. 
This is how they solve the problems. They take 
Re b (D b ) and combine it with Mi b b (E b b ) 
Re I] fD I] ) „ ■„ Mi b (E b ) 
Re^fD^^) „ „ Mi ME ) 
Re b (D b ) „ „ Mi b (E b ) 
Re (D 1, ) „ „ Mi l; (E 15 ) 
Ileb(Db) „ „ Mi B (E if ) 
This gives them six combinations of D's and E's. 
Doing the same with. 
La b (A b ) combining it with Si bb (B b b ) 
Lai|(Aki ) , „ „ Si (B b ) 
La^(A|f ) „ „ „ Si MB ) 
La b (A b ) „ Si b (B b ) 
La t] (A i| ) „ „ Si 1^ (B M 
La b (A b ) „ „ „ Si k| (B I, ) 
which also gives them six combinations of A's and B's ; by 
combining the D's and E's with A's and B's in every possible 
way they obtain 36 combinations of these ; fa (F) is then 
placed after Mi (E) in these combinations ; by placing Fa^ 
(F^) in the same combinations they obtain the remaining 36 
scales (it must be borne in mind that if a single note be al- 
tered in a scale, it makes a new combination of that scale). 
They then place Do (C) before Re (D) and Sol i^G) before 
La (A) in all the combinations, thus giving them 72 complete 
different scales of seven notes. 
It will be seen by this that they do not recognize the 
Major and Minor Modes as we do, though the Major Scale 
and some forms of the Minor are to be found among the 
72 scales of their system. 
