**
Scales catalogs in an other approach**

One of the groundbreaking features of Pénzes Methodology is creating the two scale catalogs; the one-octave and the two-octave ones, which are systematically described in the following sections:

Sometimes the fact that I created all this gets me thinking; Why me? Why am I the first one to come up with all this? It has been all in the air ever since the twelve-tone equal temperament, after a long progress, became prevalent in music 300 years ago.

Since the basic principles of scales catalogs were defined once the one-octave scale catalog was created, making the two-octave scale catalog was relatively easy.

In these scale catalogs, numbers represent the scale structure; for instance a
major scale looks like 101011010101. What's more to this fact is that **these
numbers represent the respective scale structure not only on a given pitch but
on any pitch**. This means that the note combinations of not only the
twelve-tone equal temperament, but any musical temperament, can be described
by this system.

I
think the two-octave system, which we could call 24-tone temperament, better
explains the concept behind this; the basic idea of this was to stretch the
scale catalog range to two octaves thus making it consist of 24 tones instead
of just 12. But the digit-defined scale combinations that can be derived from
this system by scale modeling can be used not only for my 24-tone temperament
but also for any other system that defines 24 different tones. For instance,
one of them is the 24-semitone temperament, which is derived from the
twelve-tone equal temperament and literally means further splitting the twelve
semitones into half. As an interesting fact, there were many attempts to
create this 24-semitone temperament during the 20^{th} century. (→
Alois Hába)