User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions

The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], notated as ''u''|''p'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is '''xL ys u|p'''. The name of the mos itself may also be used instead of its xL ys form.

This rotation process usually returns the modes in rotational order, not by brightness. To get the modes in order by brightness, we can produce every interval for each mode, starting at the mosunison (0-mosstep) and ending at the mosoctave (8-mosstep). This produces an [[interval matrix]]. The brightest mode will be the mode that has all of its intervals - excluding the mosunison, mosoctave, and multiples of the period if applicable - in its large size. The next brightest mode will have one interval in its small size, the next-next brightest mode will have two intervals in its small size, and so on. The darkest mode will have all of its intervals in its small size. If the mos has n pitches, the brightest mode's UDP is (n-1)|0, then the next brightest is (n-2)|1, and so on until the darkest mode of UDP 0|(n-1) is reached

A much faster way to do this process is by sorting the modes produced this way in alphabetical order, effectively sorting all modes by decreasing brightness. The table below shows the modes produced rotationally, and can be sorted by UDP.