User:VectorGraphics/Vector's introduction to 15edo/Scales: Difference between revisions

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 - █▒▒▒███▒▒█▒▒▒███ - similar to Greek enharmonic or chromatic scales
+== MODMOS structures ==
+Let's take the minor scale:
+█▒▒██▒█▒▒██▒▒█▒█ - minor
+A common way to alter the minor scale is to sharpen the sixth and/or seventh degrees, resulting in the harmonic and melodic minor and variations of Dorian:
+█▒▒██▒█▒▒██▒▒▒██ - harmonic minor
+█▒▒██▒█▒▒█▒█▒▒██ - dark melodic minor
+█▒▒██▒█▒▒█▒▒█▒██ - bright melodic minor
+█▒▒██▒█▒▒█▒█▒█▒█ - "diatonyx" dorian
+█▒▒██▒█▒▒█▒▒██▒█ - didymian dorian
+A scale with a single generator (octave-equivalent, of course) is called a "MOS", and all these scales, including normal zarlino, are "MODMOSes" of '''onyx''', formed by sharping or flatting a few notes of it respectively. While technically, because this is an equal tuning, any 7-note scale can be a MODMOS of onyx, I try to reserve it for scales that have harmonic commonalities with diatonic or with onyx.
+█▒█▒█▒█▒▒█▒█▒█▒█ - onyx
+Here's the onyx scale, which we'll be using as an example to explore what kinds of scales you can build like this.
+First, let's reorient it so all the small steps are next to each other. Here's the darkest mode of onyx:
+█▒█▒█▒█▒█▒█▒█▒▒█ - pandian
+Now, we can create zarlino by sharping the third and sixth degrees of this scale.
+█▒█▒▒██▒█▒▒██▒▒█ - mixolydian
+But we can sharp or flat other degrees as well. For example, if we sharp only the sixth degree, we get a kind of "diatonyx" which is a hybrid between the two scales.
+█▒█▒█▒█▒█▒▒██▒▒█ - diatonyx (type 1)
+This happens when sharpening the third degree only as well:
+█▒█▒▒██▒█▒█▒█▒▒█ - diatonyx (type 2)
+By choosing a different interval or pair of intervals to sharp, we can get scales that are like diatonic, but different.
+█▒█▒█▒█▒▒█▒▒█▒██ - didymonyx (type 1)
+█▒▒█▒██▒▒█▒█▒█▒█ - didymonyx (type 2)
+█▒█▒█▒▒█▒█▒▒█▒██ - ?????
 WIP