Non-musical scales VIII.

Fingering scales by Sápi I.


My student and friend Zoltán Sápi came up with this scale idea, which fits so well among the non-musical scale exercises that it proves that fact I have always had in mind; Pénzes Metholodogy gives constant inspiration to others to explore and come up with new things in music.



So his brilliant is simple; since non-musical scales is generally for finger independence and mastering alternate picking, the best way to achieve this is generate scales along a logical pattern, and make sure they fingering and string changes. So he came up with the basic idea as well as put a lot of effort in literally creating the scale exercise system. Zoltán, thank you for your work!


I consider the Sápi fingering scales so important that I have included them in Pénzes Methodology (as part of the complex music theory and the non-musical scales sections)



Unlike in the common language, there is a distinction between combination and variation in mathematics. To always stay clear, I will use the common language expressions.


Given this simple fingering combination...




...which can be illustrated in other ways, like this



or this (digits):




This basic fingering combination can be played on any desired position on the fretboard, at any desired speed. Here comes the question to this; What is the maximal number of variations to these four notes (1, 2, 3 and 4)? Mathematically, the answer is 4! = 24 (permutation without repetition).


You can see whole set of combinations below:



Counting the different combinations, it is really 24 different ways of combining these notes! 24 scale combinations that help with finger independence, at any fret position!


Let's take a look at the concept owner himself playing a combination of 1-2-4-3. He started off at the third fret of the E1 string (but as I mention, you could basically play the combinations at any fret position).




What's the next exercise? The 2-string fingering scales! - Non-musical scales VIII. - Fingering scales by Sápi I.