User:Overthink/Neutral scale theory: Difference between revisions

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 In diatonic, chords are built by Root-3rd-5th. We can try to use the same logic here. This gives us neutral (P1-P3-M5) chords on C, E, F, G, and A, a P1-d3-m5 chord on D, and a P1-P3-m5 chord on B. This construction, however, is flawed, as none of these chords can be written with particularly simple ratios, and therefore these chords aren't very consonant.
-This scale is in the [[2.3.11 subgroup]], with the fundamental otonal consonance being [[8:9:11:12]] (or one of its different voicings), which in our scale is P1-M2-M4-M5. A different construction, Root-2nd-4th-5th, is now needed. The utonal inverse of 8:9:11:12 is 1/(8:9:11:12) = [[66:72:88:99]], or P1-m2-m4-M5. The otonal 8:9:11:12 chord occurs on F and A, and the utonal 1/(8:9:11:12) chord occurs on E and G. Neither chord occurs on C, B, or D, with a P1-M2-m4-M5 cent chord on C, and a P1-m2-m4-m5 chord on B and D. We need names for these chords, and once again we can borrow from diatonic:
+This scale is in the [[2.3.11 subgroup]], with the fundamental otonal consonance being [[8:9:11:12]] (or one of its different voicings), which in our scale is P1-M2-M4-M5. A different construction, Root-2nd-4th-5th, is now needed. The utonal inverse of 8:9:11:12 is 1/(8:9:11:12) = [[66:72:88:99]], or P1-m2-m4-M5. The otonal 8:9:11:12 chord occurs on F and A, and the utonal 1/(8:9:11:12) chord occurs on E and G. Neither chord occurs on C, B, or D, with a P1-M2-m4-M5 cent chord on C, and a P1-m2-m4-m5 chord on B and D. Of course, this is only one possible construction. Note that chords can also be constructed as a chain of three fourths (4/3 or 11/8) or fifths (3/2 or 16/11), with the chain being 4th-Root-5th-2nd for fifths and the reverse for fourths.
-''Rewrite: This is not the best construction. Chords are better constructed as a chain of three fourths (4/3 or 11/8) or fifths (3/2 or 16/11).''
+We need names for these chords, and once again we can borrow some from diatonic:
 {| class="wikitable"
 |+ Mosh chord names
-! Chord
+! colspan=2 |Chord
-! Name
+! rowspan=2 |Name
+|-
+! Root up
+! Chain of 5ths
 |-
 | P1-M2-M4-M5
+| M4-P1-M5-M2
 | '''Major / M'''
 |-
 | P1-m2-m4-M5
+| m4-P1-M5-m2
 | '''Minor / m'''
 |-
 | P1-M2-m4-M5
+| m4-P1-M5-M2
 | '''Suspended / sus'''
 |-
 | P1-m2-m4-m5
-| ''Placeholder''
+| m4-P1-m5-m2
+| '''Ambi / a''' (Placeholder)
 |}