So, this notebook contains

three different parts, that correspond

to three different lectures.

The first one is a more generic lecture

on harmony and then, towards the bottom

of the notebook, there are parts that

correspond to two lectures:

one on geometry, and one on rock harmony.

So I refer to these lectures for

all the details on what you're going

to see here. This is mostly a notebook

to show in practice how algorithmically

one can obtain all the structures that

we talk about in the lectures.

So harmony, you already saw

in the beginning, when discussing

compositional tools, that note,

for instance the object note, has a

method that is "harmonize".

Harmony here, in this context,

corresponds to the simultaneous

playing of different pitches and in this

particular part here, in this particular

cell, what we are doing, we harmonize

a sequence of notes using

the notes of the scale.

So we are harmonizing within the scale.

We could harmonize within the chromatic

collection, and some of these ideas are

discussed in the lectures, but in this

particular example, we are harmonizing

on a particular scale, in this case a

C Major scale. A C Minor scale, sorry.

And here it is:

<i>Demonstration</i>

So we talk about transposition also,

in the context of harmony, we talk about

the transposition along the scale,

the transposition along the chromatic

collection and the transposition along

the chord. So, this is an example of

a transposition along the scale.

And this is an example of a transposition

along the chord. Again, refer to

the lecture for the details on how this

is actually done. So this is the result of

such a transposition:

<i>Demonstration</i>