Modal UDP notation: Difference between revisions

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'''Modal UDP notation''' is a way to uniquely specify a particular [[Periodic_scale#Definition-Rotations|rotation]], i.e. mode, of a [[MOS scale]]. Its name is derived from "up|down(period)", abbreviated as U|D(P). If accidentals are specified, it can also be used with [[MODMOS scale]]s.

This mode notation system was designed by [[Mike Battaglia]] and [[Gene Ward Smith]].

== Introduction ==

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* Because the MOS type that a temperament's MOS represents is tuning-dependent, the choice of bright generator can be tuning-dependent. For example, assume you are using approximately but not exactly 700¢ for dominant meantone. Then Dominant[12] is either [[7L 5s]] (if generator < 700¢), in which case the bright generator is the fourth, or [[5L 7s]] (if generator > 700¢), meaning that the bright generator is the fifth. As a result, Dominant[12] 7|4 is ambiguous.

== ~~Other notations~~ ==

== See also ==

* [[~~Kite%27s_Method_of_Naming_Rank-2_Scales_using_Mode_Numbers|Kite Giedraitis'~~ notation]] ~~numbers each mode by its position on the genchain: 1st Meantone~~[~~7] = Lydian, 2nd Meantone~~[7] ~~= Ionian, 3rd Meantone[7~~] ~~= Mixolydian, etc. The generator is not always bright: 1st Meantone[5] = major pentatonic.~~

* [[Comparison of mode notation systems]]

* [[~~Naming_Rank-2_Scales#Jake Freivald method|~~Jake Freivald's ~~notation]] numbers each~~ mode ~~by its position in the scale: 1st Meantone[7] = Ionian, 2nd Meantone[7~~] ~~= Dorian, 3rd Meantone[7~~] ~~= Phrygian, etc.~~

* [[Kite's Method of Naming Rank-2 Scales using Mode Numbers]]

* [[Jake Freivald's mode numbering system]]

[[Category:Mode]]

[[Category:Notation]]

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 '''Modal UDP notation''' is a way to uniquely specify a particular [[Periodic_scale#Definition-Rotations|rotation]], i.e. mode, of a [[MOS scale]]. Its name is derived from "up|down(period)", abbreviated as U|D(P). If accidentals are specified, it can also be used with [[MODMOS scale]]s.
+This mode notation system was designed by [[Mike Battaglia]] and [[Gene Ward Smith]].
 == Introduction ==
@@ Line 152: / Line 154: @@
 * Because the MOS type that a temperament's MOS represents is tuning-dependent, the choice of bright generator can be tuning-dependent. For example, assume you are using approximately but not exactly 700¢ for dominant meantone. Then Dominant[12] is either [[7L 5s]] (if generator < 700¢), in which case the bright generator is the fourth, or [[5L 7s]] (if generator > 700¢), meaning that the bright generator is the fifth. As a result, Dominant[12] 7|4 is ambiguous.
-== Other notations ==
+== See also ==
-* [[Kite%27s_Method_of_Naming_Rank-2_Scales_using_Mode_Numbers|Kite Giedraitis' notation]] numbers each mode by its position on the genchain: 1st Meantone[7] = Lydian, 2nd Meantone[7] = Ionian, 3rd Meantone[7] = Mixolydian, etc. The generator is not always bright: 1st Meantone[5] = major pentatonic.
+* [[Comparison of mode notation systems]]
-* [[Naming_Rank-2_Scales#Jake Freivald method|Jake Freivald's notation]] numbers each mode by its position in the scale: 1st Meantone[7] = Ionian, 2nd Meantone[7] = Dorian, 3rd Meantone[7] = Phrygian, etc.
+* [[Kite's Method of Naming Rank-2 Scales using Mode Numbers]]
+* [[Jake Freivald's mode numbering system]]
 [[Category:Mode]]
 [[Category:Notation]]