Other Definitions tonus (dict)
|
TonusIn harmony, the tonus is the ratio 9:8 between a pair of frequencies or, equivalently, the ratio 8:9 between a pair of wavelengths. It is the arithmetic mean of unison and ditono: -
It is equal to diapente divided by diatessaron: -
This means that a diapente is equal to a diatessaron and a tonus, put together. The tonus is 1.001 in binary — 1 + 2−3 — and it is the inversion of the eptadem minus (minor seventh) (16:9), -
Notice also that the eptadem minus is a pair of diatessarons put together: -
The eptadem minus is the sum of the first eight reciprocals of triangular numbers: -
The tonus is also called major second. Major and Minor The tonus comes in two slightly different versions: the tuono maggiore (9:8) and the tuono minore (10:9). The tuono minore is the harmonic mean of unison and ditono: -
In binary, the tuono minore is equal to 1.000111000111000111000111... See also: unison, diapason, diapente, diatessaron, ditonus, semiditonus, semitonium.
|
 |