Glossary: Difference between revisions

Line 71:

; [[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 ==

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; [[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.

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

== 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]]".

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== 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]].

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; [[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]], often assumed to be a [[#H|harmonic]] partial, or an independent [[#P|pitch]] corresponding to that partial.

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; [[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.

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; 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.

== 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.

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; [[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.

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; [[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 ==

@@ Line 71: / Line 71: @@
 ; [[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 88: / Line 88: @@
 ; [[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.
+; [[generator sequence]] (GS) :A [[#S|scale]]-building procedure based on alternating [[#G|generator]]s.
 == 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]]".
@@ Line 105: / Line 105: @@
 == 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]].
@@ Line 157: / Line 157: @@
 ; [[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]], often assumed to be a [[#H|harmonic]] partial, or an independent [[#P|pitch]] corresponding to that partial.
@@ Line 172: / Line 172: @@
 ; [[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 188: / Line 188: @@
 ; 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.
 == 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 198: / Line 198: @@
 ; [[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 227: / Line 230: @@
 ; [[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 ==