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

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 == Constructing chords and splitting steps ==
+A more interesting way to construct scales is to stack chords rather than single intervals. For example, if we stack 3 major chords, we get:
+█▒▒▒▒█▒▒▒█▒▒▒▒▒█ (major chord on root)
++ ▒▒▒█▒▒▒▒▒█▒▒▒▒█▒ (major chord on fifth)
++ █▒▒▒▒▒█▒▒▒▒█▒▒▒█ (major chord descending from root)
+= █▒▒█▒██▒▒█▒█▒▒██ - major
+Surprise! Here's the zarlino scale again.
+Let's try minor chords. This corresponds to flatting the seventh, third, and sixth degrees by one step.
+█▒▒██▒█▒▒██▒▒█▒█ - minor
+In fact, this is actually how the normal major and minor scales are constructed in diatonic, so it's neat to see that it checks out here.
+So instead, let's try a different chord (let's say, for some reason, you cared a lot about wolf chords).
+█▒▒▒▒█▒▒█▒▒▒▒▒▒█ (wolf major chord on root)
++ ▒█▒▒▒▒▒▒█▒▒▒▒█▒▒ (wolf major chord on wolf fifth)
++ █▒▒▒▒▒▒█▒▒▒▒█▒▒█ (wolf major chord descending from root)
+= ██▒▒▒█▒██▒▒▒██▒█ - wolf major
+You can call this the "wolf major scale" because of how it's constructed.
+Let's try a kind of diminished chord, called a wolf diminished chord, made of two different sizes of minor third. Since the chord is a lot narrower, we'll need 4 chords instead of 3 to build a reasonable scale.
+█▒▒█▒▒▒█▒▒▒▒▒▒▒█ (wolf diminished chord on root)
++ ▒▒▒▒▒▒▒█▒▒█▒▒▒█▒ (wolf diminished chord on dim fifth)
++ █▒▒▒▒▒▒▒█▒▒█▒▒▒█ (wolf diminished chord descending from root)
++ ██▒▒█▒▒▒█▒▒▒▒▒▒█ (wolf diminished chord descending from aug fourth)
+= ██▒██▒▒██▒██▒▒██ - diminished
+This scale also contains a "major wolf diminished" chord, which corresponds to the harmonic series sequence 5:6:7, much like a normal major chord corresponds to 4:5:6.
+As can be seen, there's a lot of possibilities here.
+Another way to build scales is by choosing a few key intervals, and splitting the jumps between them into steps. For example, we might decide that our key notes are {█▒▒▒▒██▒▒█▒▒▒▒▒█}.
+Here, we have two large jumps that can be split into steps, and there's a couple ways to do this, including ones that just result in zarlino and ones that result in scales we haven't seen before.
+█▒▒█▒██▒▒█▒▒█▒▒█ - zaretan
+█▒█▒▒██▒▒█▒▒█▒▒█ - legatus
+█▒▒█▒██▒▒█▒▒██▒█ - decurion
+█▒█▒▒██▒▒█▒▒██▒█ - kaiser
+If we choose a different set of key intervals, we get a different set of possible scales:
+█▒▒█▒█▒▒▒▒▒▒█▒▒█ =
+█▒▒█▒█▒▒█▒█▒█▒▒█ - anhedonia
+█▒▒█▒█▒█▒█▒██▒▒█ - mok
 WIP