User:Ganaram inukshuk/Methodologies: Difference between revisions

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=== ~~Justification and comparison~~ ===

=== Other notes ===

==== Justification ====

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Additionally, 19edo (and 31edo) supports both the diatonic and mosh mosses, where the generating interval for 3L 4s is 5L 2s's major third. This means that 3L 4s is, in a sense, 19edo's equivalent of an augmented scale. Constructing a tertian chord with C as the root results in the chord C-E-G#, an augmented chord, but constructing a tertian chord where C is the highest note requires the notes Fb and Ab. This is reached by starting at C and going down two major thirds, which matches the description of mode 4|2 of mosh (up 4 generators and down 2 generators), which is the exact mode that is described as the default mode.

==== Biases ====

I'm admittedly biased at the idea that unfamiliar scales necessarily need some form of familiar ground. The diatonic major scale is said to contain a leading tone (the "s" at the end of its step pattern), hence preserving this property was deemed necessary for how I explore (and play with) unfamiliar mosses.

Teasing out the properties of the diatonic minor scale is admittedly harder to justify. The current assumption is that the leading tone is lost, but the interval between the first and second degrees is still in its large form as seen diatonic major. This property only works for mosses that have more L's than s's, hence the amended definition described above. This currently remains untested.

==== Comparison with other methods ====

Interestingly, this definition of a default mode has some overlap with [[Naming Rank-2 Scales|Jake Freivald's method]] of enumerating a mos's modes.

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-=== Justification and comparison ===
+=== Other notes ===
 ==== Justification ====
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 Additionally, 19edo (and 31edo) supports both the diatonic and mosh mosses, where the generating interval for 3L 4s is 5L 2s's major third. This means that 3L 4s is, in a sense, 19edo's equivalent of an augmented scale. Constructing a tertian chord with C as the root results in the chord C-E-G#, an augmented chord, but constructing a tertian chord where C is the highest note requires the notes Fb and Ab. This is reached by starting at C and going down two major thirds, which matches the description of mode 4|2 of mosh (up 4 generators and down 2 generators), which is the exact mode that is described as the default mode.
+==== Biases ====
+I'm admittedly biased at the idea that unfamiliar scales necessarily need some form of familiar ground. The diatonic major scale is said to contain a leading tone (the "s" at the end of its step pattern), hence preserving this property was deemed necessary for how I explore (and play with) unfamiliar mosses.
+Teasing out the properties of the diatonic minor scale is admittedly harder to justify. The current assumption is that the leading tone is lost, but the interval between the first and second degrees is still in its large form as seen diatonic major. This property only works for mosses that have more L's than s's, hence the amended definition described above. This currently remains untested.
 ==== Comparison with other methods ====
 Interestingly, this definition of a default mode has some overlap with [[Naming Rank-2 Scales|Jake Freivald's method]] of enumerating a mos's modes.