Generals terms

As we know, the four essential parameters to the definition of a musical note are:

• Duration
• Pitch
• Timbre
• Intensity

For each of these four parameters, a series of twelve values is introduced. Every series will include, therefore, twelve values of intensity or twelve values of duration, or of pitch, or of timbr. We will have therefore: one duration serie $(d_1;.....d_{12})S$ one pitch serie $(p_1;.....a_{12})S$ one timbr serie $(t_1;.....t_{12})S$ one intensity serie $(i_1;.....i_{12})S$ These series are the module on which the program act, with different algorithms for each param. We define now the input of program that is constituted by a triple of integer positive numbers $a,b,c$ by the four series $D, P, T, I$, and by the four algorithms $AlgD, AlgP, AlgT, AlgI$, and that return in output a sequence of serie $D_n, P_n, T_n, I_n$. in general, as it regards the series of durations and of pitch, the program functioning can be represent like follow:

$$S^1 = Alg((a,b,c);(j,k,l);S)$$

We describe now, the succession of steps necessary to the production of a complete sequence (or rather of the whole all the algorithms, that will return in output the musical "piece")

1. The length of the sequence is calculated $L = Max(a,b,c)$ it corresponds therefore, to the number of $(D_n,P_n,T_n,I_n)$
2. $D, P, T, I$ is calulated, $D_1 = D, P_1 = P, T_1 = T$, $I_1 = I$ and, subsequently $D_{n+1},P_{n+1},T_{n+1},I_{n+1}$, are calculated, through the calculation of a triple $(j,k,l)$ of integer positive numbers, where $J\neq k$ and $k\neq l$
3. Is calculated The complete sequence. We now see in detail how a single series of musical values is produced, separately for each params.