As a closing of the range one plays the beginning note of the next string. This order of notes lies, with people in the Western world, as it were fixed in the genes. Because of this fixed order it seems that the distance between the notes is always equal. This, however, is not true. The distances between the notes are:
We also see an unequal partitioning when
we look at the ferrets of a guitar:
We see black unnamed keys when we look at the piano and also some ferrets of the guitar have no names. Yet the black keys give a tone, just as the unnamed ferrets of the guitar. These unnamed notes have the right to have a fixed place in the system.
A complete string exists from twelve notes.
For a complete note system one needs twelve places for every sequence, with a mutual distance.Drawing technical an equal distance is the most obvious solution. If one looks to the absolute altitude in frequency several distances appear. In case of very high tones the distances would be very large and in case of very low tones the distances would then become very small. An example of a partitioning in equal parts is seen in the keyboard of a piano.
Half Half
Whole tone Whole tone tone Whole tone Whole tone Whole tone tone
Do ? Re ? Mi Fa ? Sol ? La ? Si Do
Do ? Mi ? Sol ? ? Si ? Re ? ? FA ? La ? ? Do
Re Fa La Do Mi Sol Si
? ? ? ? ? ?
Sol Fa Mi Re Do Si La Sol Fa Mi
Mi - string
La - string
Re - string
Sol - string
Si - string
Mi - string