Subset notation: Difference between revisions

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A '''~~subset~~ notation''' is a [[musical notation]] system ~~that reuses certain elements of an existing notation system, but excludes other elements which are not necessary~~ for a ~~given~~ [[tuning system]]. It allows multiple tuning systems that have common intervals to share the same notation for these intervals. It also helps avoiding issues that may arise when trying to apply the [[native fifth notation]] to certain tuning systems, such as negatively mapped accidentals.

'''Subset notation''' is the practice of applying a [[musical notation]] system designed for a [[tuning system]] to a {{w|subset}} tuning system. It is mostly used with [[dual-fifth]] tunings, for which the [[native fifth notation]] may be ambiguous or counterintuitive.

Subset notation allows multiple tuning systems that have common intervals to share the same notation for these intervals. It also helps avoiding issues that may arise when trying to apply the [[native fifth notation]] to certain tuning systems, such as negatively mapped accidentals.

The trivial case of subset notation is 12edo subset notation for {{EDOs|1edo, 2edo, 3edo, 4edo and 6edo}}. Since these edos only include intervals which are also in 12edo, it is easy to apply standard notation to these tuning systems.

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| [[23edo]]

| [[46edo]]

|-

| [[25edo]]

| [[50edo]]

|-

| ...

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-A '''subset notation''' is a [[musical notation]] system that reuses certain elements of an existing notation system, but excludes other elements which are not necessary for a given [[tuning system]]. It allows multiple tuning systems that have common intervals to share the same notation for these intervals. It also helps avoiding issues that may arise when trying to apply the [[native fifth notation]] to certain tuning systems, such as negatively mapped accidentals.
+'''Subset notation''' is the practice of applying a [[musical notation]] system designed for a [[tuning system]] to a {{w|subset}} tuning system. It is mostly used with [[dual-fifth]] tunings, for which the [[native fifth notation]] may be ambiguous or counterintuitive.
+Subset notation allows multiple tuning systems that have common intervals to share the same notation for these intervals. It also helps avoiding issues that may arise when trying to apply the [[native fifth notation]] to certain tuning systems, such as negatively mapped accidentals.
 The trivial case of subset notation is 12edo subset notation for {{EDOs|1edo, 2edo, 3edo, 4edo and 6edo}}. Since these edos only include intervals which are also in 12edo, it is easy to apply standard notation to these tuning systems.
@@ Line 45: / Line 47: @@
 | [[23edo]]
 | [[46edo]]
+|-
+| [[25edo]]
+| [[50edo]]
 |-
 | ...