User:VectorGraphics/Walker brightness notation: Difference between revisions

Note that there are some intricacies with the way I've named these, starting off with the minor second, which is considerably on the sharper end of the "minor second" range - had there been another smaller minor second, I would have called this one sup[er|ra]minor. Similarly with the major third, which is actually [[9/7|well into the supermajor range]] - however, there is no "normal" major third to distinguish it from, so "supermajor" is redundant. Onto the major seconds, you may notice there are two of them, along with the minor thirds. This will be resolved in the next step.  

As for the semifourth, think of "semifourth" here as being a cover name for an interval with two names: 248c here serves as both an inframinor third and an ultramajor second, the same way a tritone can serve as both a diminished fifth and augmented fourth. (Side note - I have complaints about [[Nominal-accidental chain|the way "diminished" and "augmented" are traditionally used]]. But that is beside the point...for now.) If another interval, say 242c, were in the scale, that would be the ultramajor second and 248c would be the inframinor third.

Here, the "minor thirds" closer to [[6/5]] have been given higher priority - 266c is subminor. Conversely, there is no major third close to [[5/4]], which I mentioned prior. Similarly with the fourth, which is considerably sharp.

Here, the smaller and larger intervals have been named... "small" and "large", following the convention for tritones. There are a couple exceptions, which it is optional to include, but I have done so here:  

The minor thirds have been named based on which tunings of the minor third they approximate, which is an idea I've taken from Lumatone's [[53edo]] naming scheme - "common" is used as a shorthand for [[12edo]]. Similarly, if ~195c were in the scale I would refer to it as a mean tone.

You could also refer to the fifths by the scales they generate - [[mavila]] and [[diatonic]] - however, I don't believe this is very helpful as neither of these fifths are actually being used to generate scales. This is also why I try not to refer to fifths as wolf fifths unless they are in a tuning context where wolf fifths apply.

This system does not specify accidentals. I would personally use "sharp" and "flat" to cover the distances between some kind of minor third and some kind of major third (if not thirds, then seconds, sixths, or sevenths), preferably those close to either the common (300c and 400c) or just (315c and 386c) thirds, but I know the two are usually defined in terms of the circle of fifths (as in ups-and-downs notation and in Pythagorean tuning) and that can be used as well, where such systems are applicable.