Glossary: Difference between revisions

(33 intermediate revisions by 8 users not shown)

Line 1:

A concise list of essential terms in xenharmonic music theory.

A concise list of essential [[:Category:Terms|terms]] in xenharmonic music theory. See also: [[acronyms]].

{{TOC Horizontal

|a1=[[#A|A]]

| a1=[[#A|A]]

|a2=[[#B|B]]

| a2=[[#B|B]]

|a3=[[#C|C]]

| a3=[[#C|C]]

|a4=[[#D|D]]

| a4=[[#D|D]]

|a5=[[#E|E]]

| a5=[[#E|E]]

|a6=[[#F|F]]

| a6=[[#F|F]]

|a7=[[#G|G]]

| a7=[[#G|G]]

|a8=[[#H|H]]

| a8=[[#H|H]]

|a9=[[#I|I]]

| a9=[[#I|I]]

|a10=[[#J|J]]

| a10=[[#J|J]]

|a11=[[#K|K]]

| a11=[[#K|K]]

|a12=[[#L|L]]

| a12=[[#L|L]]

|a13=[[#M|M]]

| a13=[[#M|M]]

|a14=[[#N|N]]

| a14=[[#N|N]]

|a15=[[#O|O]]

| a15=[[#O|O]]

|a16=[[#P|P]]

| a16=[[#P|P]]

|a17=[[#Q|Q]]

| a17=[[#Q|Q]]

|a18=[[#R|R]]

| a18=[[#R|R]]

|a19=[[#S|S]]

| a19=[[#S|S]]

|a20=[[#T|T]]

| a20=[[#T|T]]

|a21=[[#U|U]]

| a21=[[#U|U]]

|a22=[[#V|V]]

| a22=[[#V|V]]

|a23=[[#W|W-Z]]

| a23=[[#W|W–Z]]

| a24=[[#0–9|0–9]]

| a25=[[#See also|See also]]

}}

== A ==

; [[achiral scale]] : A [[#S|scale]] whose mirror image (reversing the order of its [[#S|steps]]) is a [[#M|mode]] of the same scale.

~~; [[alternating generator sequence]] (AGS) : A [[#S|scale]]-building procedure based on alternating [[#G|generator]]s.~~

== B ==

Line 59:

== D ==

; [[degree]] : The position of a [[#T|tone]] in a [[#S|scale]].

; [[degree]] : The position of a [[#T|tone]] in a [[#S|scale]], measured by the number of [[#S|steps]] between the [[#T|tonic]] of the scale and the chosen tone.

; [[delta-N ratio]] : A [[#R|ratio]] whose difference between its numerator and its denominator is equal to N.

Line 67:

; [[diatonic scale]] : An [[#M|moment-of-symmetry]] (MOS) [[#S|scale]] with 5 large [[#S|steps]] and 2 small steps per [[#O|octave]].

; [[diesis]] : An [[#I|interval]] equal to the absolute value of the difference between the large [[#S|step]] and twice the small step, i.e. {{nowrap|{{!}}L − 2s{{!}}}}, of a [[#B|binary scale]].

; [[discordance]] : The perceived roughness of an [[#I|interval]] or [[#C|chord]].

Line 73:

; [[dissonance]] : The subjective, contextual roughness of an [[#I|interval]] or [[#C|chord]].

; [[dyad]] : ~~An unordered set~~ of two [[#P|pitch]]es.

; [[dyad]] :A [[chord]] of two [[Pitch class|pitch classes]].

== E ==

Line 83:

== F ==

~~; ''n''-form: An ''n''-note [[#C|constant structure]] scale.~~

; [[frequency]] : The number of oscillations per unit of time of a vibrating object.

Line 91:

Line 89:

== G ==

; [[generator]]s : A set of [[#I|intervals]] that generates a larger set through linear combination; e.g. primes {2, 3} generate [[#P|Pythagorean tuning]].

; [[generator sequence]] (GS) : A [[#S|scale]]-building procedure based on alternating [[#G|generator]]s.

; [[generic interval]] : A class of intervals which fall on the same scale degrees. In the diatonic scale, these classes are the set of seconds, the set of thirds, the set of fifths, etc. Generic intervals can also be likened to distances between note-heads on a traditional staff. A generic interval composed of ''k'' scale steps in any scale, diatonic or not, can be called a "''k''-step" (terminology taken from [[TAMNAMS]]).

== H ==

; [[harmonic]] : A whole-number multiple of the fundamental [[#F|frequency]] of a sound; also implicitly used in the sense of "harmonic [[#P|partial]]" or "harmonic [[#O|overtone]].

; [[harmonic]] : A whole-number multiple of the fundamental [[#F|frequency]] of a sound; also implicitly used in the sense of "harmonic [[#P|partial]]" or "harmonic [[#O|overtone]]".

; [[harmonic series]] : The infinite sequence of [[#T|tones]] that are whole-number [[#F|frequency ratios]] over a fundamental.

; [[harmonic series segment|harmonic (series) segment]] : Any finite sequence of consecutive harmonics in the harmonic series. Examples: 3:4:5:6:7, 7:8:9:10:11:12:13:14, 49:50:51:52:53:54. As shorthand, these may be written 3::7, 7::14, and 49::54.

; [[harmonic series]] : A ~~sequence~~ of ~~notes generated by whole~~-~~number [[#F|frequency ratios]] over a fundamental~~.

; [[harmonic mode|harmonic (series) mode]] : A harmonic segment spanning an outer interval of 1:''n'' and usually taken as constituting a scale with period ''n''/1, i.e. one of the form ''m''::''mn''. By default ''mode m'' refers to octave-spanning harmonic modes, i.e. ''m''::2''m''. For example, mode 6 is 6:7:8:9:10:11:12, or 6::12.

; [[harmonic distance]] : A measure of complexity for [[#J|just intonation]] [[#I|intervals]], associated with [[#C|concordance]] and [[#D|discordance]].

Line 104:

Line 110:

== I ==

; [[integer limit]] : The set of all [[#F|frequency ratios]] whose terms do not exceed a given maximum integer.

; [[integer limit]] :The set of all [[#F|frequency ratios]] whose terms do not exceed a given maximum integer. Also used as a metric, as in the integer limit of a specific ratio.

; [[interval]] : The relationship between two [[#P|pitches]], whose main property is [[#I|interval size]].

; [[interval]] : The relationship between two [[#P|pitches]], whose main property is [[#I|interval size]] and is often measured in terms of [[#S|steps]] of the [[#S|scale]] in which it appears.

; interval category : See [#I|interval region]].

; interval category : See [[#I|interval region]].

; [[interval class]] : The set of all [[#I|intervals]] in a [[#S|scale]] which [[#S|subtend]] the same number of scale [[#S|steps]].

Line 114:

Line 120:

; interval of equivalence : See [[#E|equave]].

; [[interval quality]] : The relative size of an [[#I|interval]] compared to similar intervals (of the same [[#I|interval class]] or of the same [[#I|interval region]].

; [[interval quality]] : The relative size of an [[#I|interval]] compared to similar intervals (of the same [[#I|interval class]] or of the same [[#I|interval region]]).

; [[interval region]] : A range of [[#I|intervals]] of similar [[#I|size]].

Line 129:

Line 135:

== K ==

== L ==

; L (as in L7.13) : Shorthand for "prime limit" (e.g. "L11.19" is a shorthand for "2.3.5.7.11.19", or "11 prime limit, plus 19").

; limit : See [[#P|prime limit]], [[#O|odd limit]] and [[#I|integer limit]].

Line 140:

Line 148:

; [[mode]] : A particular rotation of a [[#S|scale]], e.g. Ionian, Dorian etc. for the [[#D|diatonic scale]].

; [[monzo]] : A representation of a [[#J|just intonation]] [[#I|interval]] using the exponents in its prime factorization; e.g. 81/80 = {{monzo|-4 4 -1}}.

; [[monzo]] : A representation of a [[#J|just intonation]] [[#I|interval]] using the exponents in its prime factorization; e.g. the monzo of 81/80 is {{monzo| -4 4 -1 }}.

; [[moment-of-symmetry scale]] (MOS scale) : A type of [[#S|scale]] that generalizes the [[#D|diatonic scale]] by preserving some of its properties, including [[#M|maximum-variety 2]] and [[#R|rank 2]].

; [[Myhill's property]] : The property of a [[#S|scale]] with [[#M|~~maximum~~ variety]] 2.

; [[Myhill's property]] : The property of a [[#S|scale]] with [[#S|strict variety]] 2.

== N ==

Line 156:

Line 164:

; [[octave reduction]] : An operation on [[#I|intervals]] consisting in dividing or multiplying by 2 repeatedly until the result is greater than or equal to the [[#U|unison]] and less than the [[#O|octave]].

; [[odd limit]] : The set of all [[#F|frequency ratios]] whose terms, once all powers of 2 are removed, do not exceed a given maximum odd number.

; [[odd limit]] :The set of all [[#F|frequency ratios]] whose terms, once all powers of 2 are removed, do not exceed a given maximum odd number. Also used as a metric, as in the odd limit of a specific ratio.

; [[overtone]] : A [[#P|partial]] above a fundamental [[#F|frequency]]~~. Not~~ to be ~~confused with~~ [[#H|harmonic]].

; [[overtone]] : A [[#P|partial]] above a fundamental [[#F|frequency]], often assumed to be a [[#H|harmonic]] partial, or an independent [[#P|pitch]] corresponding to that partial.

== P ==

Line 171:

Line 179:

; [[polymicrotonal]] (or polysystemic) : The use of multiple [[#T|tuning systems]] in the same piece.

; [[prime limit]] : The set of all [[#F|frequency ratios]] whose terms' prime factors do not exceed a maximum prime number.

; [[prime limit]] :The set of all [[#F|frequency ratios]] whose terms' prime factors do not exceed a maximum prime number. Also used as a metric, as in the prime limit of a specific ratio.

; [[Pythagorean tuning]] : A [[#T|tuning system]] based on [[#S|stacking]] the interval [[3/2]] repeatedly, [[#O|octave-reducing]] as necessary.

Line 187:

Line 195:

; region : See [[#I|interval region]].

; [[regular temperament]] : A mapping from a [[domain]] (such as a [[prime limit]] or [[just intonation subgroup]]) to a set of intervals with fewer generators. Expressible as a [[mapping|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[val]]s or [[map]]s.

; [[regular temperament]] :A mapping from a [[domain]] (such as a [[prime limit]] or [[just intonation subgroup]]) to a set of intervals with fewer generators. Expressible as a [[mapping|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[val]]s or [[map]]s.

; [[root]] : The "home" note of a [[#C|chord]] or arpeggio. See also [[#T|tonic]].

== S ==

; [[scale]] : A sequence of [[#P|pitches]] (sometimes expressed as a sequence of [[#I|interval]]s relative to the [[#T|tonic]]); usually contains every pitch of a given musical phrase or passage. Not to be confused with "[[#T|tuning system]]".

; [[scale]] :A sequence of [[#P|pitches]] (sometimes expressed as a sequence of [[#I|interval]]s relative to the [[#T|tonic]]); usually contains every pitch of a given musical phrase or passage. Not to be confused with "[[#T|tuning system]]".

; scale signature : An expression using the step sizes of a scale, where the coefficient in front of each step tells you how many of that step size the scale has. A [[mos]] scale has a scale signature of aL bs for step sizes L > s. Other scales may have more complex signatures such as 5L 2M 3s.

Line 197:

Line 207:

; [[step]] : An [[#I|interval]] between two consecutive [[#T|tones]] of a [[#S|scale]].

; [[stepspan]]

:The number of steps an interval subtends.

; 1, 2, 3...-step: A 1, 2, 3, ...-step interval in any scale.

Line 207:

Line 220:

; [[subgroup]] : See [[#J|Just intonation subgroup]].

; [[subharmonic]] : A unit fraction of the fundamental [[#F|frequency]] of a sound; also implicitly used in the sense of "subharmonic [[#P|partial]]" or "subharmonic [[#U|undertone]]".

; [[subharmonic series]] : A sequence of [[#T|tones]] generated by unit-fraction [[#F|frequency ratios]] under a fundamental.

; subtend : Of an interval size, to occur as a certain number of steps in a given scale.

Line 218:

Line 235:

; [[timbre]] : The perceived sound quality of a musical note, which allows a listener to tell different instruments apart.

; [[tone]] An individual [[#P|pitch]] from a [[#C|chord]], [[#S|scale]], [[#T|tuning system]], etc.

; [[tone]] : An individual [[#P|pitch]] from a [[#C|chord]], [[#S|scale]], [[#T|tuning system]], etc.

; [[tonic]] : The "home" note of a [[#S|scale]]. See also [[#R|root]].

; [[tritave]] : A synonym of [[3/1]] third harmonic, especially in the context of [[nonoctave]] music.

; [[tuning system]] : A set of [[#P|pitches]] (sometimes expressed as a set of [[#I|interval]]s relative to the [[#T|tonic]]); contains every pitch of a given musical instrument or piece. Not to be confused with "[[#S|scale]]".

; [[tuning system]] :A set of [[#P|pitches]] (sometimes expressed as a set of [[#I|interval]]s relative to the [[#T|tonic]]); contains every pitch of a given musical instrument or piece. Not to be confused with "[[#S|scale]]".

== U ==

; [[undertone]] : A [[#P|partial]] below a fundamental [[#F|frequency]], often assumed to be a [[#S|subharmonic]] partial, or an independent [[#P|pitch]] corresponding to that partial.

; [[unison]] : The [[#I|interval]] between two [[#T|tones]] that are identical in [[#P|pitch]].

Line 236:

Line 257:

== Y ==

== Z ==

== 0–9 ==

; n/m : A [[just intonation]] ratio, e.g. [[3/2]] or [[5/4]].

; n\m : A degree of an [[EDO]]. For example 5\19 is 5 steps of [[19edo]].

<!-- Waiting area for moving to a dedicated "Glossary of RTT"

Line 246:

Line 272:

== See also ==

* [[Acronyms]]

* [[Dave Keenan & Douglas Blumeyer's guide to RTT~~: conventions~~ for names, variables, units, and notations]]

* [[Dave Keenan & Douglas Blumeyer's guide to RTT/Conventions for names, variables, units, and notations]]

* [[Glossary of scale properties]]

* [[Glossary for combinatorics on words]]

[[Category:Terms| ]]

[[Category:Terms| ]]

[[Category:Overview]]

@@ Line 1: / Line 1: @@
-A concise list of essential terms in xenharmonic music theory.
+A concise list of essential [[:Category:Terms|terms]] in xenharmonic music theory. See also: [[acronyms]].
 {{TOC Horizontal
-|a1=[[#A|A]]
+| a1=[[#A|A]]
-|a2=[[#B|B]]
+| a2=[[#B|B]]
-|a3=[[#C|C]]
+| a3=[[#C|C]]
-|a4=[[#D|D]]
+| a4=[[#D|D]]
-|a5=[[#E|E]]
+| a5=[[#E|E]]
-|a6=[[#F|F]]
+| a6=[[#F|F]]
-|a7=[[#G|G]]
+| a7=[[#G|G]]
-|a8=[[#H|H]]
+| a8=[[#H|H]]
-|a9=[[#I|I]]
+| a9=[[#I|I]]
-|a10=[[#J|J]]
+| a10=[[#J|J]]
-|a11=[[#K|K]]
+| a11=[[#K|K]]
-|a12=[[#L|L]]
+| a12=[[#L|L]]
-|a13=[[#M|M]]
+| a13=[[#M|M]]
-|a14=[[#N|N]]
+| a14=[[#N|N]]
-|a15=[[#O|O]]
+| a15=[[#O|O]]
-|a16=[[#P|P]]
+| a16=[[#P|P]]
-|a17=[[#Q|Q]]
+| a17=[[#Q|Q]]
-|a18=[[#R|R]]
+| a18=[[#R|R]]
-|a19=[[#S|S]]
+| a19=[[#S|S]]
-|a20=[[#T|T]]
+| a20=[[#T|T]]
-|a21=[[#U|U]]
+| a21=[[#U|U]]
-|a22=[[#V|V]]
+| a22=[[#V|V]]
-|a23=[[#W|W-Z]]
+| a23=[[#W|W&ndash;Z]]
+| a24=[[#0&ndash;9|0&ndash;9]]
+| a25=[[#See also|See also]]
 }}
 == A ==
 ; [[achiral scale]] : A [[#S|scale]] whose mirror image (reversing the order of its [[#S|steps]]) is a [[#M|mode]] of the same scale.
-; [[alternating generator sequence]] (AGS) : A [[#S|scale]]-building procedure based on alternating [[#G|generator]]s.
 == B ==
@@ Line 59: / Line 59: @@
 == D ==
-; [[degree]] : The position of a [[#T|tone]] in a [[#S|scale]].
+; [[degree]] : The position of a [[#T|tone]] in a [[#S|scale]], measured by the number of [[#S|steps]] between the [[#T|tonic]] of the scale and the chosen tone.
 ; [[delta-N ratio]] : A [[#R|ratio]] whose difference between its numerator and its denominator is equal to N.
@@ Line 67: / Line 67: @@
 ; [[diatonic scale]] : An [[#M|moment-of-symmetry]] (MOS) [[#S|scale]] with 5 large [[#S|steps]] and 2 small steps per [[#O|octave]].
-; [[diesis]] : An [[#I|interval]] equal to the absolute value of the difference between the large [[#S|step]] and twice the small step (|L-2s|) of a [[#B|binary scale]].
+; [[diesis]] : An [[#I|interval]] equal to the absolute value of the difference between the large [[#S|step]] and twice the small step, i.e. {{nowrap|{{!}}L − 2s{{!}}}}, of a [[#B|binary scale]].
 ; [[discordance]] : The perceived roughness of an [[#I|interval]] or [[#C|chord]].
@@ Line 73: / Line 73: @@
 ; [[dissonance]] : The subjective, contextual roughness of an [[#I|interval]] or [[#C|chord]].
-; [[dyad]] : An unordered set of two [[#P|pitch]]es.
+; [[dyad]] :A [[chord]] of two [[Pitch class|pitch classes]].
 == E ==
@@ Line 83: / Line 83: @@
 == F ==
-; ''n''-form: An ''n''-note [[#C|constant structure]] scale.
 ; [[frequency]] : The number of oscillations per unit of time of a vibrating object.
@@ Line 91: / Line 89: @@
 == G ==
 ; [[generator]]s : A set of [[#I|intervals]] that generates a larger set through linear combination; e.g. primes {2, 3} generate [[#P|Pythagorean tuning]].
+; [[generator sequence]] (GS) : A [[#S|scale]]-building procedure based on alternating [[#G|generator]]s.
+; [[generic interval]] : A class of intervals which fall on the same scale degrees. In the diatonic scale, these classes are the set of seconds, the set of thirds, the set of fifths, etc. Generic intervals can also be likened to distances between note-heads on a traditional staff. A generic interval composed of ''k'' scale steps in any scale, diatonic or not, can be called a "''k''-step" (terminology taken from [[TAMNAMS]]).
 == H ==
-; [[harmonic]] : A whole-number multiple of the fundamental [[#F|frequency]] of a sound; also implicitly used in the sense of "harmonic [[#P|partial]]" or "harmonic [[#O|overtone]].
+; [[harmonic]] : A whole-number multiple of the fundamental [[#F|frequency]] of a sound; also implicitly used in the sense of "harmonic [[#P|partial]]" or "harmonic [[#O|overtone]]".
+; [[harmonic series]] : The infinite sequence of [[#T|tones]] that are whole-number [[#F|frequency ratios]] over a fundamental.
+; [[harmonic series segment|harmonic (series) segment]] : Any finite sequence of consecutive harmonics in the harmonic series. Examples: 3:4:5:6:7, 7:8:9:10:11:12:13:14, 49:50:51:52:53:54. As shorthand, these may be written 3::7, 7::14, and 49::54.
-; [[harmonic series]] : A sequence of notes generated by whole-number [[#F|frequency ratios]] over a fundamental.
+; [[harmonic mode|harmonic (series) mode]] : A harmonic segment spanning an outer interval of 1:''n'' and usually taken as constituting a scale with period ''n''/1, i.e. one of the form ''m''::''mn''. By default ''mode m'' refers to octave-spanning harmonic modes, i.e. ''m''::2''m''. For example, mode 6 is 6:7:8:9:10:11:12, or 6::12.
 ; [[harmonic distance]] : A measure of complexity for [[#J|just intonation]] [[#I|intervals]], associated with [[#C|concordance]] and [[#D|discordance]].
@@ Line 104: / Line 110: @@
 == I ==
-; [[integer limit]] : The set of all [[#F|frequency ratios]] whose terms do not exceed a given maximum integer.
+; [[integer limit]] :The set of all [[#F|frequency ratios]] whose terms do not exceed a given maximum integer. Also used as a metric, as in the integer limit of a specific ratio.
-; [[interval]] : The relationship between two [[#P|pitches]], whose main property is [[#I|interval size]].
+; [[interval]] : The relationship between two [[#P|pitches]], whose main property is [[#I|interval size]] and is often measured in terms of [[#S|steps]] of the [[#S|scale]] in which it appears.
-; interval category : See [#I|interval region]].
+; interval category : See [[#I|interval region]].
 ; [[interval class]] : The set of all [[#I|intervals]] in a [[#S|scale]] which [[#S|subtend]] the same number of scale [[#S|steps]].
@@ Line 114: / Line 120: @@
 ; interval of equivalence : See [[#E|equave]].
-; [[interval quality]] : The relative size of an [[#I|interval]] compared to similar intervals (of the same [[#I|interval class]] or of the same [[#I|interval region]].
+; [[interval quality]] : The relative size of an [[#I|interval]] compared to similar intervals (of the same [[#I|interval class]] or of the same [[#I|interval region]]).
 ; [[interval region]] : A range of [[#I|intervals]] of similar [[#I|size]].
@@ Line 129: / Line 135: @@
 == K ==
 == L ==
+; L (as in L7.13) : Shorthand for "prime limit" (e.g. "L11.19" is a shorthand for "2.3.5.7.11.19", or "11 prime limit, plus 19").
 ; limit : See [[#P|prime limit]], [[#O|odd limit]] and [[#I|integer limit]].
@@ Line 140: / Line 148: @@
 ; [[mode]] : A particular rotation of a [[#S|scale]], e.g. Ionian, Dorian etc. for the [[#D|diatonic scale]].
-; [[monzo]] : A representation of a [[#J|just intonation]] [[#I|interval]] using the exponents in its prime factorization; e.g. 81/80 = {{monzo|-4 4 -1}}.
+; [[monzo]] : A representation of a [[#J|just intonation]] [[#I|interval]] using the exponents in its prime factorization; e.g. the monzo of 81/80 is {{monzo| -4 4 -1 }}.
 ; [[moment-of-symmetry scale]] (MOS scale) : A type of [[#S|scale]] that generalizes the [[#D|diatonic scale]] by preserving some of its properties, including [[#M|maximum-variety 2]] and [[#R|rank 2]].
-; [[Myhill's property]] : The property of a [[#S|scale]] with [[#M|maximum variety]] 2.
+; [[Myhill's property]] : The property of a [[#S|scale]] with [[#S|strict variety]] 2.
 == N ==
@@ Line 156: / Line 164: @@
 ; [[octave reduction]] : An operation on [[#I|intervals]] consisting in dividing or multiplying by 2 repeatedly until the result is greater than or equal to the [[#U|unison]] and less than the [[#O|octave]].
-; [[odd limit]] : The set of all [[#F|frequency ratios]] whose terms, once all powers of 2 are removed, do not exceed a given maximum odd number.
+; [[odd limit]] :The set of all [[#F|frequency ratios]] whose terms, once all powers of 2 are removed, do not exceed a given maximum odd number. Also used as a metric, as in the odd limit of a specific ratio.
-; [[overtone]] : A [[#P|partial]] above a fundamental [[#F|frequency]]. Not to be confused with [[#H|harmonic]].
+; [[overtone]] : A [[#P|partial]] above a fundamental [[#F|frequency]], often assumed to be a [[#H|harmonic]] partial, or an independent [[#P|pitch]] corresponding to that partial.
 == P ==
@@ Line 171: / Line 179: @@
 ; [[polymicrotonal]] (or polysystemic) : The use of multiple [[#T|tuning systems]] in the same piece.
-; [[prime limit]] : The set of all [[#F|frequency ratios]] whose terms' prime factors do not exceed a maximum prime number.
+; [[prime limit]] :The set of all [[#F|frequency ratios]] whose terms' prime factors do not exceed a maximum prime number. Also used as a metric, as in the prime limit of a specific ratio.
 ; [[Pythagorean tuning]] : A [[#T|tuning system]] based on [[#S|stacking]] the interval [[3/2]] repeatedly, [[#O|octave-reducing]] as necessary.
@@ Line 187: / Line 195: @@
 ; region : See [[#I|interval region]].
-; [[regular temperament]] : A mapping from a [[domain]] (such as a [[prime limit]] or [[just intonation subgroup]]) to a set of intervals with fewer generators. Expressible as a [[mapping|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[val]]s or [[map]]s.
+; [[regular temperament]] :A mapping from a [[domain]] (such as a [[prime limit]] or [[just intonation subgroup]]) to a set of intervals with fewer generators. Expressible as a [[mapping|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[val]]s or [[map]]s.
+; [[root]] : The "home" note of a [[#C|chord]] or arpeggio. See also [[#T|tonic]].
 == S ==
-; [[scale]] : A sequence of [[#P|pitches]] (sometimes expressed as a sequence of [[#I|interval]]s relative to the [[#T|tonic]]); usually contains every pitch of a given musical phrase or passage. Not to be confused with "[[#T|tuning system]]".
+; [[scale]] :A sequence of [[#P|pitches]] (sometimes expressed as a sequence of [[#I|interval]]s relative to the [[#T|tonic]]); usually contains every pitch of a given musical phrase or passage. Not to be confused with "[[#T|tuning system]]".
 ; scale signature : An expression using the step sizes of a scale, where the coefficient in front of each step tells you how many of that step size the scale has. A [[mos]] scale has a scale signature of aL bs for step sizes L > s. Other scales may have more complex signatures such as 5L 2M 3s.
@@ Line 197: / Line 207: @@
 ; [[step]] : An [[#I|interval]] between two consecutive [[#T|tones]] of a [[#S|scale]].
+; [[stepspan]]
+:The number of steps an interval subtends.
 ; 1, 2, 3...-step: A 1, 2, 3, ...-step interval in any scale.
@@ Line 207: / Line 220: @@
 ; [[subgroup]] : See [[#J|Just intonation subgroup]].
+; [[subharmonic]] : A unit fraction of the fundamental [[#F|frequency]] of a sound; also implicitly used in the sense of "subharmonic [[#P|partial]]" or "subharmonic [[#U|undertone]]".
+; [[subharmonic series]] : A sequence of [[#T|tones]] generated by unit-fraction [[#F|frequency ratios]] under a fundamental.
 ; subtend : Of an interval size, to occur as a certain number of steps in a given scale.
@@ Line 218: / Line 235: @@
 ; [[timbre]] : The perceived sound quality of a musical note, which allows a listener to tell different instruments apart.
-; [[tone]] An individual [[#P|pitch]] from a [[#C|chord]], [[#S|scale]], [[#T|tuning system]], etc.
+; [[tone]] : An individual [[#P|pitch]] from a [[#C|chord]], [[#S|scale]], [[#T|tuning system]], etc.
+; [[tonic]] : The "home" note of a [[#S|scale]]. See also [[#R|root]].
 ; [[tritave]] : A synonym of [[3/1]] third harmonic, especially in the context of [[nonoctave]] music.
-; [[tuning system]] : A set of [[#P|pitches]] (sometimes expressed as a set of [[#I|interval]]s relative to the [[#T|tonic]]); contains every pitch of a given musical instrument or piece. Not to be confused with "[[#S|scale]]".
+; [[tuning system]] :A set of [[#P|pitches]] (sometimes expressed as a set of [[#I|interval]]s relative to the [[#T|tonic]]); contains every pitch of a given musical instrument or piece. Not to be confused with "[[#S|scale]]".
 == U ==
+; [[undertone]] : A [[#P|partial]] below a fundamental [[#F|frequency]], often assumed to be a [[#S|subharmonic]] partial, or an independent [[#P|pitch]] corresponding to that partial.
 ; [[unison]] : The [[#I|interval]] between two [[#T|tones]] that are identical in [[#P|pitch]].
@@ Line 236: / Line 257: @@
 == Y ==
 == Z ==
+== 0&ndash;9 ==
+; n/m : A [[just intonation]] ratio, e.g. [[3/2]] or [[5/4]].
+; n\m : A degree of an [[EDO]]. For example 5\19 is 5 steps of [[19edo]].
 <!-- Waiting area for moving to a dedicated "Glossary of RTT"
@@ Line 246: / Line 272: @@
 == See also ==
 * [[Acronyms]]
-* [[Dave Keenan & Douglas Blumeyer's guide to RTT: conventions for names, variables, units, and notations]]
+* [[Dave Keenan & Douglas Blumeyer's guide to RTT/Conventions for names, variables, units, and notations]]
+* [[Glossary of scale properties]]
+* [[Glossary for combinatorics on words]]
-[[Category:Terms| ]] <!-- main article -->
+[[Category:Terms| ]] <!-- Main article -->
 [[Category:Overview]]