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'''''DRAFT! - DRAFT! - DRAFT!''' -- Feel free to add comments or suggestions to the [[User talk:Mousemambo/Introduction to xenharmonic music terminology|discussion page]].''
'''''DRAFT! - DRAFT! - DRAFT!''' -- Feel free to add comments or suggestions to the [[User talk:Mousemambo/Introduction to xenharmonic music terminology|discussion page]].''


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 music|microtonal]] or xenharmonic music.


== About this course ==
== About this course ==
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'''Other doorways to understanding'''
'''Other doorways to understanding'''


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 "Other 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 along 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 very helpful.
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.
'''Next level terminology'''
An "[[User:Mousemambo/Workbench#Intermediate xenharmonic music terminology|Intermediate xenharmonic terminology]]" outline is being compiled, which could follow this introduction. If you have suggestions for that page, or for this developing beginner terminology outline, please add them to [[User talk:Mousemambo/Introduction to xenharmonic music terminology|this page's Discussion page]] or post them to the #wiki channel of the [[Links#Discord server|Xen Discord server]].


== Foundations ==
== Foundations ==
*What is [[Xenharmonic music|microtonal or xenharmonic music]]? Wikipedia: [[Wikipedia:Microtonal music|Microtonal music]].
*What is [[Xenharmonic music|microtonal or xenharmonic music]]? Wikipedia: [[Wikipedia:Microtonal music|Microtonal music]].
**[[Why use alternative tunings?]]
**Scott McCormick. [https://blog.discmakers.com/2017/08/microtones-the-notes-between-the-notes/ Microtones: the notes between the notes].
**Scott McCormick. [https://blog.discmakers.com/2017/08/microtones-the-notes-between-the-notes/ Microtones: the notes between the notes].
**[[User:SyntheticThought|Michael W. Dean]]. [https://producelikeapro.com/blog/getting-started-making-microtonal-music/ Making microtonal music is easier than you’d think]. Also [[Making Microtonal Music is Easier Than You’d Think|archived at the Xen wiki]].
**[[User:SyntheticThought|Michael W. Dean]]. [https://producelikeapro.com/blog/getting-started-making-microtonal-music/ Making microtonal music is easier than you’d think]. Also [[Making Microtonal Music is Easier Than You’d Think|archived at the Xen wiki]].
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**[[Why microtonality|Why microtonality?]] And some [[:Category:Why microtonality?|responses]].
**[[Why microtonality|Why microtonality?]] And some [[:Category:Why microtonality?|responses]].
*[[Glossary]]
*[[Glossary]]
*[[Interval]] and [[Interval region]]. Wikipedia: [[Wikipedia:Interval (music)|Interval (music)]].
*[[Interval]]. Wikipedia: [[Wikipedia:Interval (music)|Interval (music)]].
*[[Ratio]] and [[Interval size measure]]
*[[Interval region]]
*[[Ratio]]
*[[Ratio math]]
*[[Interval size measure]]
*[[Harmonic series]]. Wikipedia: [[Wikipedia:Harmonic series (music)|Harmonic series (music)]].
*[[Harmonic series]]. Wikipedia: [[Wikipedia:Harmonic series (music)|Harmonic series (music)]].
*[[2-limit]], [[3-limit]] & [[5-limit]]. Wikipedia: [[Wikipedia:Limit (music)|Limit (music)]].
*[[2-limit]], [[3-limit]] & [[5-limit]]. Wikipedia: [[Wikipedia:Limit (music)|Limit (music)]].
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**[[Mode]]. Wikipedia: [[Wikipedia:Mode (music)|Mode (music)]].
**[[Mode]]. Wikipedia: [[Wikipedia:Mode (music)|Mode (music)]].
**[[Scale naming]]
**[[Scale naming]]
**[[EDO]]
**[[Equal-step tuning|Equal-step tunings]]. Wikipedia: [[Wikipedia:Equal temperament|Equal temperament]].
**[[5L 2s]] (aka [[Diatonic]]). Wikipedia: [[Wikipedia:Diatonic scale|Diatonic scale]] and [[Wikipedia:Regular diatonic tuning|Regular diatonic tuning]].
**[[5L 2s]] (aka [[Diatonic]]). Wikipedia: [[Wikipedia:Diatonic scale|Diatonic scale]] and [[Wikipedia:Regular diatonic tuning|Regular diatonic tuning]].
**[[MOS scale]] (Moment of Symmetry)
**[[MOS scale]] (Moment of Symmetry)
**[[Mosstep]] & [[Mosdegree]]
**[[Mosstep]] & [[Mosdegree]]
**[[Periods and generators]]
**[[Periods and generators]]
**[[Equave]] (aka [[Equivalence interval]]), contrast with [[Period]] and [[Periodic scale]].
**[[Equave]] (aka Equivalence interval), contrast with [[Period]] and [[Periodic scale]].
*[[Tonic]]
*[[Tonic]]
*Videos
*Videos
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**[[Pythagorean comma]]. Wikipedia: [[Wikipedia:Pythagorean comma|Pythagorean comma]].
**[[Pythagorean comma]]. Wikipedia: [[Wikipedia:Pythagorean comma|Pythagorean comma]].
**[[81/80]] (aka, Ptolemaic comma). Wikipedia: [[Wikipedia:Syntonic comma|Syntonic comma]].
**[[81/80]] (aka, Ptolemaic comma). Wikipedia: [[Wikipedia:Syntonic comma|Syntonic comma]].
*[[Gallery of just intervals]]
*[[Temperament]]. Wikipedia: [[Wikipedia:Musical temperament|Musical temperament]].
*[[Temperament]]. Wikipedia: [[Wikipedia:Musical temperament|Musical temperament]].
**[[Rank]]
**[[Rank]]
**[[Equal temperament]]. Wikipedia: [[Wikipedia:Equal temperament|Equal temperament]].
**[[Equal-step tuning]]
**[[Regular temperament]]. Wikipedia: [[Wikipedia:Regular temperament|Regular temperament]].
**[[Regular temperament]]. Wikipedia: [[Wikipedia:Regular temperament|Regular temperament]].
**[[Linear temperament]]
**[[Linear temperament]]
**[[Support]]
**[[Support]]
**[[Tempering out]]
**[[Tempering out]]
**[[EDO vs ET]]
**[[Temperament naming]]
**[[Temperament naming]]
**[[Temperament families and clans]]
**[[Temperament families and clans]]
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**[[12edo]]. Wikipedia: [[Wikipedia:12 equal temperament|12 equal temperament]].
**[[12edo]]. Wikipedia: [[Wikipedia:12 equal temperament|12 equal temperament]].
**
**
*Articles
*Other Articles
**[[Kyle Gann]]. [https://www.kylegann.com/tuning.html Just intonation explained].
**[[Kyle Gann]]. [https://www.kylegann.com/tuning.html Just intonation explained].
**[[Kyle Gann]]. [https://www.kylegann.com/histune.html An introduction to historical tunings].
**[[Kyle Gann]]. [https://www.kylegann.com/histune.html An introduction to historical tunings].
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== Tuning system analysis and design ==
== Tuning system analysis and design ==
*[[Tuning system design]]. This needed article would explain 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. [See the [[User talk:Mousemambo/Introduction to xenharmonic music terminology#Tuning system design|discussion page]] for more thoughts about this.]
*[[Tuning system design]]. This needed article would explain some of the (sometimes conflicting) qualities that make a tuning system attractive to some people, e.g. many consonant intervals, attractive harmonies, easy modulation to other keys, similarity to existing popular tunings, etc. [See the [[User talk:Mousemambo/Introduction to xenharmonic music terminology#Tuning system design|discussion page]] for more thoughts about this.]
*[[Harmonic lattice diagram]] (aka tuning lattice)
*[[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. See the [[User talk:Mousemambo/Introduction to xenharmonic music terminology#Tonality diamond|discussion page]] for more thoughts about this.]
*[[Tonality diamond]]. [Unfortunately, the current (2023-09-04) Xen Wiki page doesn't present the common meaning of the term. See the [[User talk:Mousemambo/Introduction to xenharmonic music terminology#Tonality diamond|discussion page]] for more thoughts about this.]
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*[[Val]]
*[[Val]]
*[[Mapping]]
*[[Mapping]]
*[[Harmonic limit]] and [[Harmonic class]]
*[[Harmonic class]]
*[[Rank-2 temperament]]
*[[Rank-2 temperament]]
*[[TAMNAMS]]
*[[TAMNAMS]]
*[[Ups and downs notation]]
*[[Ups and downs notation]]
*[[Tour of regular temperaments]]
*[[Glossary of scale properties]]
*Notable xenharmonic tuning systems for beginners
*Notable xenharmonic tuning systems for beginners: Exemplars to get you started.
**[[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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**[[Porcupine]]
**[[Porcupine]]
**[[Bohlen-Pierce scale]]
**[[Bohlen-Pierce scale]]
*Articles
*[[Collection of EDO impressions]]
*[[Families of scales]]
*Collections of temperaments: A wide survey.
**[[Tour of regular temperaments]]
**[[:Category:Lists of temperaments|Category:Lists of temperaments]]
*Collections of scales: A wide survey.
**[[Scale index]]
**[[Gallery of 12-tone just intonation scales]]
**[[Gallery of 12-tone tempered scales]]
**[[:Category:12-tone scales|Category:12-tone scales]]
*Other Articles
**Alex Zorach. [https://31et.com/page/why-31-et Why 31-tone equal temperament?]
**Alex Zorach. [https://31et.com/page/why-31-et Why 31-tone equal temperament?]
**[[Mike Sheiman's Very Easy Scale Building From The Harmonic Series Page]]
**[[Mike Sheiman's Very Easy Scale Building From The Harmonic Series Page]]
**Siggy. A Trivial Knot (blog). [https://freethoughtblogs.com/atrivialknot/2022/06/07/xenharmonic-music-theory-part-1-perception-of-microtones/ Xenharmonic music theory part 1: Perception of microtones], part 2: [https://freethoughtblogs.com/atrivialknot/2022/06/13/xenharmonic-music-theory-part-2-dissonance-theory/ Dissonance Theory], part 3: [https://freethoughtblogs.com/atrivialknot/2022/06/16/xenharmonic-music-theory-part-3-tuning-theory/ Tuning theory]
**Siggy. A Trivial Knot (blog). [https://freethoughtblogs.com/atrivialknot/2022/06/07/xenharmonic-music-theory-part-1-perception-of-microtones/ Xenharmonic music theory part 1: Perception of microtones], part 2: [https://freethoughtblogs.com/atrivialknot/2022/06/13/xenharmonic-music-theory-part-2-dissonance-theory/ Dissonance Theory], part 3: [https://freethoughtblogs.com/atrivialknot/2022/06/16/xenharmonic-music-theory-part-3-tuning-theory/ Tuning theory]
**[[Kraig Grady]]. [http://anaphoria.com/wilsonintroMOS.html Introduction to Erv Wilson's moments of symmetry].
**[[Kraig Grady]]. [http://anaphoria.com/wilsonintroMOS.html Introduction to Erv Wilson's moments of symmetry].
**[[Dave Keenan & Douglas Blumeyer's guide to RTT: introductions]]
**[[Dave Keenan & Douglas Blumeyer's guide to RTT]] (multi-part guide; math intensive; advanced)
**[[Mike's lectures on regular temperament theory]]
**[[Mike's lectures on regular temperament theory]]
**[[User:Aura/Aura's Music Theory: Introduction|Aura's music theory: Introduction]]
**[[User:Aura/Aura's Music Theory: Introduction|Aura's music theory: Introduction]]
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*[[Interval quality]]
*[[Interval quality]]
*[[Consonance and dissonance]]. Wikipedia: [[Wikipedia:Consonance and dissonance|Consonance and dissonance]].
*[[Consonance and dissonance]]. Wikipedia: [[Wikipedia:Consonance and dissonance|Consonance and dissonance]].
*[[Chord]]
*[[Dyadic chord]]
*[[Diatonic functional harmony]]. Wikipedia: [[Wikipedia:Function (music)|Function (music)]].
*[[Diatonic functional harmony]]. Wikipedia: [[Wikipedia:Function (music)|Function (music)]].
*[[Just intonation harmony]] (or [[Harmony in just intonation]]). This needed article would present an introduction to creating harmony in just intonation (JI) tunings. It would introduce ideas and strategies for harmony that also apply to other uneven tunings, and provides a foundation for understanding more extended xenharmonic harmonization. [See the [[User talk:Mousemambo/Introduction to xenharmonic music terminology#Harmony in just intonation|discussion page]] for more thoughts about this.]
*[[Just intonation harmony]] (or [[Harmony in just intonation]]). This needed article would present an introduction to creating harmony in just intonation (JI) tunings. It would introduce ideas and strategies for harmony that also apply to other uneven tunings, describe some historical developments within Western music, and provide a foundation for understanding more extended xenharmonic harmonization. [See the [[User talk:Mousemambo/Introduction to xenharmonic music terminology#Harmony in just intonation|discussion page]] for more thoughts about this.]
*[[Dyadic chord]]
*Other Articles
*Articles
**[[Margo Schulter]]. Pythagorean tuning and Medieval polyphony § [http://www.medieval.org/emfaq/harmony/pyth5.html Pythagorean tuning and Gothic polyphony].
**[[Margo Schulter]]. Pythagorean tuning and Medieval polyphony § [http://www.medieval.org/emfaq/harmony/pyth5.html Pythagorean tuning and Gothic polyphony].
**[[User:Aura/Aura's Ideas on Functional Harmony|Aura's Ideas on functional harmony]]‎‎
**[[User:Aura/Aura's Ideas on Functional Harmony|Aura's Ideas 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]]
**[[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
**[[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.
**[[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.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=Vt_r-oaUxxM 31-Tone Meantone Tutorial]. YouTube.
**Levi McClain. [https://www.youtube.com/watch?v=8Bi6bO-MCCo What If We Had 31 Notes Instead of 12?] YouTube.
**Listening In. [https://www.youtube.com/watch?v=UTDHylJZMXU Jacob Collier: Moon River - Harmonic Analysis]. 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.
**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.
**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.
**Quartertone Harmony. [https://www.youtube.com/watch?v=P6WJryxB_0Y Harmonic Functions of Quartertones]. YouTube.
**[[John Moriarty]]. [https://www.youtube.com/watch?v=Vt_r-oaUxxM 31-Tone Meantone Tutorial]. YouTube.
**[[Zhea Erose|Zheanna Erose]]. [https://www.youtube.com/playlist?list=PLiWv7dE90L6CsQmQySVdAiRSIIDaAymiJ 31-EDO Music Theory]. YouTube (12 video playlist).
**[[Zhea Erose|Zheanna Erose]]. [https://www.youtube.com/watch?v=I9h-aZUxXS0 Rare Chord: Maj7‡11‡15‡19 (harmony in 31-edo)]. YouTube.
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