>Certainly the next step is to get the complexity of a ratio from its

>numerator and denominator, but I'm unclear whether to multiply them, or

>take the maximum value (as is normally done with odd or prime limits).

>If you multiply them you should then take the square-root (i.e. you

should

>find the geometric mean). This is to keep them commensurate with the

>odd-limit or prime-limit where the max value is taken.

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Some years ago I discovered that the product of the numerator and

denominator of any ratio (in its Canonic form) is straight related with

the Rameau Fundamental Bass concept I called this product Indice

Armonico (I avoid the Spanish accents because the ASCII symbols

not works well everywhere) and was systematized for my purposes.

This figure is the number of the harmonic (related with the Rameau Bass)

that is in common with some specific harmonic of the notes.

For example, if we consider two notes with an interval of 5/4 each

other, if the Rameau Bass is 1 (one) the lowest note is its 4th

harmonic, the upper one is its 5th and 20 is the harmonic of the Rameau

bass in common with both notes.

20 ((20 x 1)) is also (or has the same frequency) the 5th harmonic of

the

lowest note ((4 x 5)) and the 4th of the upper one ((5 x 4)).

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This concept is related with "solid" physics. I know this point of view

is weak but the Differential Sound of both notes is ((5 - 4)) one, (and

it is the RB), and surely may be registered.

Atentamente

Eduardo