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#define WHOLE_NOTE  3212537328000

/*

The definition of the CHRONON: There are 3212537328000 chronons in a whole note.
Its computed as the product of the following numbers:

	128 3 5 7 9 11 13 17 19 23 25 = 3212537328000

This, for example, allows for an eighth note to be divided into a 21-tupple that will have a 
length of exactly 19122246000 chronons.  The fact that we are guaranteed that all defined* note
lengths have exact integer representations in chronons allows us to write fast and effective 
algorithms for the the computation of combinations of note length values.

 *Actually, the note lenghts defined are those that can be derived as products of these 
  numbers: 3 5 7 9 11 13 17 19 23 25, and the factors of 128 (with some limitations as to number
  of terms)

The NoteLen object includes a CHRONON data member that specifies the lenght of that
object though this length is derived fromt that objects notation data.

//- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 
We adopt the following conventions regarding meter

In simple meters the count is the  number of beats in the measure.

In compound meters the count / 3 is the number of beats in the measure.

A meter is compound if it is evenly divisible by n * 3 where n > 1.

If the count of a meter is exactly 3 then it may be either triple simple or single compound.

A meter is complex if the count > 3 and odd. In this case the meter is decomposed into sub meters:
A complex meter may not be or contain as a decomposition factor a compound meter.


Beats are combined in groups and supper groups
					    beat Super Groups           beat Groups	
 1:4	monadic simple	1 &					1
 2:4	duple simple	1 & 2 &					2
 4:4	quad simple	1 & 2 & 3 & 4 &				2,2
 8:4	octal simple	1 & 2 & 3 & 4 &		4,4		2,2,2,2
																
 6:8	duple compound	1 & a 2 & a 				2
 9:8	triple compound	1 & a 2 & a 3 & a 				3
12:8	quad compound	1 & a 2 & a 3 & a 4 & a			2,2
																
 3:4	triple simple	1 & 2 & 3 &					3
 3:4	monadic compound	1 & a					1

 5:4  =  2:4 + 3:4							2,3
												
 5:4  =  3:4 + 2:4							3,2
										  
 7:4  =  3:4 + 4:4					3,4		3,2,2
	  =  4:4 + 3:4				4,3		2,2,3
												
11:4  =  7:4 + 4:4								
		 3:4 + 4:4 + 4:4			3,4,4		3,2,2,2,2
		 4:4 + 3:4 + 4:4	    		4,3,4		2,2,3,2,2
	  =  4:4 + 7:4								
		 4:4 + 4:4 + 3:4			4,4,3		2,2,2,2,3
												
13:4  =  7:4 + 6:4					mixed simple and compound decompositions not allowed
	  =  6:4 + 7:4					mixed simple and compound decompositions not allowed
	  =  7:4 + 3:4 + 3:4						
		 3:4 + 4:4 + 3:4 + 3:4	    		3,4,3,3		3,2,2,3,3
		 4:4 + 3:4 + 3:4 + 3:4		   	4,3,3,3		2,2,3,3,3

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some tupple groups and thier spaning denomination--  3/8:4  is a quater note

3/2: 1   

3/4: 2    5/4: 1    7/4: 1

3/8: 4    5/8: 2    7/8: 2    9/8: 1    11/8: 1    13/8: 1    15/8: 1    ( 17 19 23 25 )

3/16:8    5/16:4    7/16:4    9/16:2    11/16:2    13/16:2    15/16:2    17/16:1  (19 23 25 )

3/32:16   5/32:8    7/32:8    9/32:4


tuppelets may not be doubly dotted.
*/

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