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== Xenharmonic music: An introduction to 21st century tuning systems ==
== Xenharmonic music: An introduction to 21st century tuning systems ==
Current draft title: '''Introduction to xenharmonic music terminology'''
Current draft title: '''[[User:Mousemambo/Introduction to xenharmonic music terminology|Introduction to xenharmonic music terminology]]'''


This page introduces xenharmonic music theory through the terminology used by its practitioners. This outline of links can be used as a self-guided introductory course through the [[Main Page|Xenharmonic Wiki]] for beginners interested in understanding, playing or composing microtonal or [[xenharmonic music]].
This page introduces xenharmonic music theory through the terminology used by its practitioners. This outline of links can be used as a self-guided introductory course through the [[Main Page|Xenharmonic Wiki]] for beginners interested in understanding, playing or composing microtonal or [[xenharmonic music]].
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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 from 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 from 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 later is always possible! However, at the time of this writing (Sept. 2023) some of the Xen Wiki articles lack much of a basic introduction at all (i.e. one without college math). In those cases, if there is a Wikipedia link provided you're encouraged to visit there. But one reason for developing this outline is to identify and remedy those articles, so perhaps by the time you read this some helpful wiki editors will have remedied the problem.
Some of the articles offered in 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 later is always possible! However, at the time of this writing (Sept. 2023) some of the Xen Wiki articles lack much of a basic introduction at all (i.e. one without college math). In those cases, if there is a Wikipedia link provided you're encouraged to visit there. But one reason for developing this outline is to identify and remedy those articles, so perhaps by the time you read this some helpful wiki editors will have addressed the problem.


'''Other doorways to understanding'''
'''Other doorways to understanding'''
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Although there is no "listening guide" for this course, you will find links to YouTube videos that provide some of that valuable experience. But note that links in the "Articles" and "Videos" sections are related and supporting, but outside the flow of the course. If you play or wish to learn an [[Instruments|musical instrument capable of microtonality,]] you may find opportunities to play as you progress here.
Although there is no "listening guide" for this course, you will find links to YouTube videos that provide some of that valuable experience. But note that links in the "Articles" and "Videos" sections are related and supporting, but outside the flow of the course. If you play or wish to learn an [[Instruments|musical instrument capable of microtonality,]] you may find opportunities to play as you progress here.


Finally, some people prefer to "learn microtonal music" mostly by listening to music, so this outline will probably not be useful for them. That's OK! There are [[Listen|other resources]] for you. For many of us, though, a progressive structure like this outline is how we learn best.
Finally, some people prefer to "learn microtonal music" mostly by listening to music, so this outline will probably not be useful for them. That's OK! There are [[Listen|other resources]] for you. For many of us, though, a progressive structure like this outline is very helpful.


=== Foundations ===
=== Foundations ===
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*[[Tonic]]
*[[Tonic]]
*Videos
*Videos
**[[Sevish]]. [https://www.youtube.com/playlist?list=PL65EDA7FBA5F8A3CF Learn about microtonal music]. YouTube (playlist).
**[[Brendan Byrnes]]. [https://www.youtube.com/watch?v=Pn2FIQ2Ps94 Microtonal Music Tutorial (Xenharmonic)]. YouTube.
**... more to be added
**[[Dolores Catherino|dolomuse]]. [https://www.youtube.com/watch?v=yVKIXCH-5gE PolyChromatic Music Theory]. YouTube.
**[[Hear Between The Lines]]. [https://www.youtube.com/watch?v=atbhMjD4PjM You've never heard (of) these chords]. YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=DB2aHGW45fY Tuning Theory 0: A Primer ("Microtonal" Theory)]. YouTube.
**TEDx Talks. [https://www.youtube.com/watch?v=EfJbS5jPiOk Polychromatic music | Dolores Catherino | TEDxSacramento]. YouTube.
**[[Sevish]]. [https://www.youtube.com/playlist?list=PL65EDA7FBA5F8A3CF Learn about microtonal music]. YouTube (300+ videos playlist).


=== Tuning systems and temperament ===
=== Tuning systems and temperament ===
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**[[Links#Educational websites|Links § Educational websites]]
**[[Links#Educational websites|Links § Educational websites]]
*Videos
*Videos
**... to be added
**Alice M. Chuaqui Baldwin. [https://www.youtube.com/watch?v=309gNT_72Nc Meantone Temperament and Other Historical Tuning Systems, Part 2]. YouTube.
**Classical Nerd. [https://www.youtube.com/watch?v=ylgHkauUuCQ&t=364s Tuning: An Introduction]. YouTube.
**Early Music Sources. [https://www.youtube.com/watch?v=R75unSXKJXQ Tuning and Temperaments in the Renaissance - PART I]. YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=S7YRYm-trAs Tuning Theory 1: Just Intonation ("Microtonal" Theory)]. YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=ZoAuVgndmbU Tuning Theory 2: Temperament ("Microtonal" Theory)]. YouTube.
**[https://www.youtube.com/watch?v=TwqQHbKonTU Xotla Music. Intro To Microtonal Terminology]. YouTube.


=== Tuning system analysis and design ===
=== Tuning system analysis and design ===
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**Has few enough pitches per [[equave]] that there's no need to select a subset for mapping to standard piano format controllers.
**Has few enough pitches per [[equave]] that there's no need to select a subset for mapping to standard piano format controllers.
**A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.
**A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.
*[[Harmonic lattice diagram]]
*[[Harmonic lattice diagram]] (aka tuning lattice)
*[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn't present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer 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 with a simpler and cohesive accompanying explanation for what it is and how its used.
*[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn't present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer 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 with a simpler and cohesive accompanying explanation for what it is and how its used.
*[[Generator]]
*[[Generator]]
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*Notable xenharmonic tuning systems for beginners
*Notable xenharmonic tuning systems for beginners
**[[19edo]]. Wikipedia: [[Wikipedia:19 equal temperament|19 equal temperament]].
**[[19edo]]. Wikipedia: [[Wikipedia:19 equal temperament|19 equal temperament]].
**[[22edo]]. Wikipedia: [[Wikipedia:22 equal temperament|22 equal temperament]].
**[[24edo]] (aka, quarter tone scale). Wikipedia: [[Wikipedia:Quarter tone|Quarter tone]].
**[[24edo]] (aka, quarter tone scale). Wikipedia: [[Wikipedia:Quarter tone|Quarter tone]].
**[[31edo]]. Wikipedia: [[Wikipedia:31 equal temperament|31 equal temperament]].
**[[31edo]]. Wikipedia: [[Wikipedia:31 equal temperament|31 equal temperament]].
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**[[User:Aura/Aura's Music Theory: Introduction|Aura's music theory: Introduction]]
**[[User:Aura/Aura's Music Theory: Introduction|Aura's music theory: Introduction]]
*Videos
*Videos
**... to be added
**12tone. [https://www.youtube.com/watch?v=bWG6CGKMnNA How Many Notes Are There? The Theory of Quarter Tones]. YouTube.
**[[HEHEHE I AM A SUPAHSTAR SAGA]]. [https://www.youtube.com/playlist?list=PLha3CFvr8SzwlDpGL9MrJcoN8xOHyowsw Exploring 19-TET]. YouTube (7 videos playlist)
**[[John Moriarty]]. [https://www.youtube.com/watch?v=KwOdsHc4h7s Tuning Theory 3: Moment of Symmetry ("Microtonal" Theory)]. YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=M6mkyAtwrcw Porcupine Temperament Tutorial (Microtonal/Xenharmonic theory)]. YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=BJkd6gdT1H0 Bohlen-Pierce Temperament Tutorial (Microtonal Theory)]. YouTube.
**[[Sevish]]. [https://www.youtube.com/watch?v=hginh_dGJLU Making microtonal scales with Scale Workshop]. YouTube.
**Sketching_Fox. [https://www.youtube.com/watch?v=4fCxdvMHNCA 22 TET Music Theory: Tone Sizes]. YouTube.
**uethanian. [https://www.youtube.com/watch?v=RZ7WbmhCsqs 19 tone equal temperament]. youTube.


=== Xenharmonic harmony ===
=== Xenharmonic harmony ===
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**[[User:FloraC/Analysis on the 13-limit just intonation space: episode ii#Chapter VI. Overview on Functional Harmony|FloraC's Overview on functional harmony]]
**[[User:FloraC/Analysis on the 13-limit just intonation space: episode ii#Chapter VI. Overview on Functional Harmony|FloraC's Overview on functional harmony]]
*Videos
*Videos
**... to be added
**[[Zhea Erose|Zheanna Erose]]. [https://www.youtube.com/watch?v=7cv-nuSjbY4 31-EDO Music Theory: Basic Triads]. YouTube.
**[[Zhea Erose|Zheanna Erose]]. [https://www.youtube.com/watch?v=i_xKo8B4Fu4 Rare Chords: Min11⇂13 (harmony in 31-edo)]. YouTube.
**[[Hear Between The Lines]]. [https://www.youtube.com/watch?v=YCEfg8WyDFI How to use microtones to harmonise? | Ep. 3]. YouTube.
**Quartertone Harmony. [https://www.youtube.com/watch?v=P6WJryxB_0Y Harmonic Functions of Quartertones]. YouTube.
**Listening In. [https://www.youtube.com/watch?v=UTDHylJZMXU Jacob Collier: Moon River - Harmonic Analysis]. YouTube.
**Lumi - Music & Theory. [https://www.youtube.com/watch?v=tfFAHCNMF-M What Makes Gleam Great? - Microtonal Music Analysis]. YouTube.
**mannfishh. [https://www.youtube.com/watch?v=ZJfAVSVgaSI Microtonal Comma Chords and an Explanation of 5-Limit Just Tuning Lattices]. YouTube.
**Levi McClain. [https://www.youtube.com/watch?v=8Bi6bO-MCCo What If We Had 31 Notes Instead of 12?] YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=Vt_r-oaUxxM 31-Tone Meantone Tutorial]. YouTube.


==Elements of good Xenharmonic Wiki article writing==
==Elements of good Xenharmonic Wiki article writing==