User:Mousemambo/Workbench: Difference between revisions

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This course begins by reintroducing some basic musicology terms but in a xenharmonic context. That may mean they have unusual definitions, or that they're explained in a way that points toward how they're understood and used in xenharmonic musicology and music. If there is corresponding English Wikipedia page, a link is provided here to help contrast the xenharmonic perspective with the one more commonly taught in conventional music theory. However, some Wikipedia pages were created with a partly or entirely xenharmonic perspective (e.g. [[Wikipedia:Regular diatonic tuning|Regular diatonic tuning]]).

This course draws a somewhat arbitrary line between "beginner" material that is included, and "intermediate" material that is not. A guideline for that distinction is that the material presented might fit within a one-semester college course. People who already have significant xenharmonic theory understanding may feel this course remains too superficial, and that much more could be added to the "Tuning system analysis and design" section. Unfortunately, hardly any standard introductions to music theory go deeply enough into tuning systems and temperament to provide enough of a foundation for exploring xenharmonic music theory. Therefore, this course recapitulates many introductory topics but with a xenharmonic perspective.

This course draws a somewhat arbitrary line between "beginner" material that is included, and "intermediate" material that is not. A guideline for that distinction is that the material presented might fit within a one-semester college course. People who already have significant xenharmonic theory understanding may feel this course remains too superficial, and that much more could be added to the "Tuning system analysis and design" section [possibly a few items could be added]. Unfortunately, hardly any standard introductions to music theory go deeply enough into tuning systems and temperament to provide enough of a foundation for exploring xenharmonic music theory. Therefore, this course recapitulates many introductory topics but with a xenharmonic perspective.

Some of the articles linked to by this outline start with useful introductory material but then go deeper than the level intended by this course. In these cases, readers are encouraged to use their judgement as they read to decide when a useful depth of understanding has been reached, and then return to this outline. Revisiting deeper material at a later time is always possible!

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**[[Pythagorean tuning]]. Wikipedia: [[Wikipedia:Pythagorean tuning|Pythagorean tuning]].

**[[Meantone family]]. Wikipedia: [[Wikipedia:Meantone temperament|Meantone temperament]].

***[[Wikipedia:Ptolemy's intense diatonic scale|Ptolemy's intense diatonic scale]] ~~(at Wikipedia)~~

***Wikipedia: [[Wikipedia:Ptolemy's intense diatonic scale|Ptolemy's intense diatonic scale]]

***[[Quarter-comma meantone]]. Wikipedia: [[Wikipedia:Quarter-comma meantone|Quarter-comma meantone]]

**[[12edo]]. Wikipedia: [[Wikipedia:12 equal temperament|12 equal temperament]].

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=== Tuning system analysis and design ===

*[[Equave]]

*[[Generator]]

*[[Monzo]]

*[[Val]]

*[[Tuning system design]]. A needed article explaining some of the (sometimes conflicting) qualities that make a tuning system attractive, e.g. many consonant intervals, attractive harmonies, easy modulation to other keys, similarity to existing popular tunings, etc. Some possible qualities:

**Correspondence to the [[harmonic series]], especially the fifth and/or third. Harmonic sounds are perceived by humans as more sonorous, in part due to harmonic blending.

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**Is an EDO close enough to a popular temperament to substitute for it, e.g. [[19edo]] for [[1/3-comma meantone]].

**Has few enough pitches per [[equave]] that there's no need to select a subset for mapping to standard piano format controllers.

*[[Tonality diamond]]. [Unfortunately, the current (2023-09-04) Xen Wiki page doesn't present the common meaning of he term, providing instead only some off-putting advanced math. It does provide a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but needs a simpler and cohesive accompanying explanation for what it is and how its used.]

*[[Equave]]

*[[Generator]]

*[[Monzo]]

*[[Val]]

*[[Tour of regular temperaments]]

*Notable xenharmonic tuning systems

@@ Line 79: / Line 79: @@
 This course begins by reintroducing some basic musicology terms but in a xenharmonic context. That may mean they have unusual definitions, or that they're explained in a way that points toward how they're understood and used in xenharmonic musicology and music. If there is corresponding English Wikipedia page, a link is provided here to help contrast the xenharmonic perspective with the one more commonly taught in conventional music theory. However, some Wikipedia pages were created with a partly or entirely xenharmonic perspective (e.g. [[Wikipedia:Regular diatonic tuning|Regular diatonic tuning]]).
-This course draws a somewhat arbitrary line between "beginner" material that is included, and "intermediate" material that is not. A guideline for that distinction is that the material presented might fit within a one-semester college course. People who already have significant xenharmonic theory understanding may feel this course remains too superficial, and that much more could be added to the "Tuning system analysis and design" section. Unfortunately, hardly any standard introductions to music theory go deeply enough into tuning systems and temperament to  provide enough of a foundation for exploring xenharmonic music theory. Therefore, this course recapitulates many introductory topics but with a xenharmonic perspective.
+This course draws a somewhat arbitrary line between "beginner" material that is included, and "intermediate" material that is not. A guideline for that distinction is that the material presented might fit within a one-semester college course. People who already have significant xenharmonic theory understanding may feel this course remains too superficial, and that much more could be added to the "Tuning system analysis and design" section [possibly a few items could be added]. Unfortunately, hardly any standard introductions to music theory go deeply enough into tuning systems and temperament to  provide enough of a foundation for exploring xenharmonic music theory. Therefore, this course recapitulates many introductory topics but with a xenharmonic perspective.
 Some of the articles linked to by this outline start with useful introductory material but then go deeper than the level intended by this course. In these cases, readers are encouraged to use their judgement as they read to decide when a useful depth of understanding has been reached, and then return to this outline. Revisiting deeper material at a later time is always possible!
@@ Line 114: / Line 114: @@
 **[[Pythagorean tuning]]. Wikipedia: [[Wikipedia:Pythagorean tuning|Pythagorean tuning]].
 **[[Meantone family]]. Wikipedia: [[Wikipedia:Meantone temperament|Meantone temperament]].
-***[[Wikipedia:Ptolemy's intense diatonic scale|Ptolemy's intense diatonic scale]] (at Wikipedia)
+***Wikipedia: [[Wikipedia:Ptolemy's intense diatonic scale|Ptolemy's intense diatonic scale]]
 ***[[Quarter-comma meantone]].  Wikipedia: [[Wikipedia:Quarter-comma meantone|Quarter-comma meantone]]
 **[[12edo]]. Wikipedia: [[Wikipedia:12 equal temperament|12 equal temperament]].
@@ Line 122: / Line 122: @@
 === Tuning system analysis and design ===
-*[[Equave]]
-*[[Generator]]
-*[[Monzo]]
-*[[Val]]
 *[[Tuning system design]]. A needed article explaining some of the (sometimes conflicting) qualities that make a tuning system attractive, e.g. many consonant intervals, attractive harmonies, easy modulation to other keys, similarity to existing popular tunings, etc. Some possible qualities:
 **Correspondence to the [[harmonic series]], especially the fifth and/or third. Harmonic sounds are perceived by humans as more sonorous, in part due to harmonic blending.
@@ Line 134: / Line 130: @@
 **Is an EDO close enough to a popular temperament to substitute for it, e.g. [[19edo]] for [[1/3-comma meantone]].
 **Has few enough pitches per [[equave]] that there's no need to select a subset for mapping to standard piano format controllers.
+*[[Tonality diamond]]. [Unfortunately, the current (2023-09-04) Xen Wiki page doesn't present the common meaning of he term, providing instead only some off-putting advanced math. It does provide a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but needs a simpler and cohesive accompanying explanation for what it is and how its used.]
+*[[Equave]]
+*[[Generator]]
+*[[Monzo]]
+*[[Val]]
 *[[Tour of regular temperaments]]
 *Notable xenharmonic tuning systems