Nominal-accidental chain: Difference between revisions

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'''Accidentals''' are additional pitches that arise as modifications of the nominals. Unmodified pitches are natural notes. In diatonic [[circle-of-fifths notation]], the additional pitches are denoted by adding '''sharps''' or '''flats''' to the natural notes. The sharp accidental denotes a pitch raise by a [[chromatic semitone]], equivalent to a raise by 7 fifths minus 4 octaves. Conversely, the flat accidental denotes a pitch drop by the same amount. In [[equal temperament]]s, the number of steps this interval is mapped to is called the [[sharpness]].

These pitches form a chain, with each one separated from the next by a specific interval. This interval can be said to generate the notation, or the notation can be said to be based on this interval. In diatonic circle-of-fifths notation, this interval has been a just or near-just 3/2. Other intervals are possible, and even desirable for certain edos like 13, 18 and 23.

These pitches form a chain, with each one separated from the next by a specific interval. This interval can be said to generate the notation, or the notation can be said to be based on this interval. In diatonic circle-of-fifths notation, this interval has been a just or near-just 3/2. Other intervals are possible, and even desirable for certain edos like 13, 18, and 23.

'''Equivalence''' may arise from this approach~~. This~~ is when ~~you~~ have multiple names ~~for the same pitch~~. ~~The equivalence~~ that ~~occurs in 12edo is '''enharmonic equivalence'''.~~ C~~-sharp~~ is enharmonically equivalent to D~~-flat,~~ but only in 12edo, 24edo, 36edo, etc. The same term is sometimes used to refer to equivalence in general, but each edo technically has its own equivalence. [[7edo]] has the type of equivalence that could be called ''chromatic equivalence'', for example.

'''Equivalence''' may arise from this approach, which is when the same pitch can have multiple names. People are often taught that C♯ is enharmonically equivalent to D♭ but this is only true in [[12edo]] and its multiples (24edo, 36edo, etc.). The same term is sometimes used to refer to equivalence in general, but each edo technically has its own equivalence. [[7edo]] has the type of equivalence that could be called ''chromatic equivalence'', for example.

== Specific notation schemes ==

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* [[Circle-of-fifths notation]] (and neutral circle-of-fifths notation)

** [[Ups and downs notation]]

** [[Syntonic-rastmic subchroma notation]]

** [[Syntonic–rastmic subchroma notation]]

** [[Sagittal notation]]

; Nondiatonic

* [[4L 5s (3/1-equivalent)#Notation|Bohlen-Pierce notation]] (based on the [[lambda]] scale)

* [[4L 5s (3/1-equivalent)#Notation|Bohlen–Pierce notation]] (based on the [[lambda]] scale)

* [[Armodue]] number notation (based on the [[superdiatonic]] scale)

* [[Fox-Raven notation]] (based on the [[oneirotonic]] scale)

@@ Line 9: / Line 9: @@
 '''Accidentals''' are additional pitches that arise as modifications of the nominals. Unmodified pitches are natural notes. In diatonic [[circle-of-fifths notation]], the additional pitches are denoted by adding '''sharps''' or '''flats''' to the natural notes. The sharp accidental denotes a pitch raise by a [[chromatic semitone]], equivalent to a raise by 7 fifths minus 4 octaves. Conversely, the flat accidental denotes a pitch drop by the same amount. In [[equal temperament]]s, the number of steps this interval is mapped to is called the [[sharpness]].
-These pitches form a chain, with each one separated from the next by a specific interval. This interval can be said to generate the notation, or the notation can be said to be based on this interval. In diatonic circle-of-fifths notation, this interval has been a just or near-just 3/2. Other intervals are possible, and even desirable for certain edos like 13, 18 and 23.
+These pitches form a chain, with each one separated from the next by a specific interval. This interval can be said to generate the notation, or the notation can be said to be based on this interval. In diatonic circle-of-fifths notation, this interval has been a just or near-just 3/2. Other intervals are possible, and even desirable for certain edos like 13, 18, and 23.
 {{Wikipedia| Enharmonic equivalence }}
-'''Equivalence''' may arise from this approach. This is when you have multiple names for the same pitch. The equivalence that occurs in 12edo is '''enharmonic equivalence'''. C-sharp is enharmonically equivalent to D-flat, but only in 12edo, 24edo, 36edo, etc. The same term is sometimes used to refer to equivalence in general, but each edo technically has its own equivalence. [[7edo]] has the type of equivalence that could be called ''chromatic equivalence'', for example.
+'''Equivalence''' may arise from this approach, which is when the same pitch can have multiple names. People are often taught that C&#x266F; is enharmonically equivalent to D&#x266D; but this is only true in [[12edo]] and its multiples (24edo, 36edo, etc.). The same term is sometimes used to refer to equivalence in general, but each edo technically has its own equivalence. [[7edo]] has the type of equivalence that could be called ''chromatic equivalence'', for example.
 == Specific notation schemes ==
@@ Line 19: / Line 19: @@
 * [[Circle-of-fifths notation]] (and neutral circle-of-fifths notation)
 ** [[Ups and downs notation]]
-** [[Syntonic-rastmic subchroma notation]]
+** [[Syntonic&ndash;rastmic subchroma notation]]
 ** [[Sagittal notation]]
 ; Nondiatonic
-* [[4L 5s (3/1-equivalent)#Notation|Bohlen-Pierce notation]] (based on the [[lambda]] scale)
+* [[4L 5s (3/1-equivalent)#Notation|Bohlen&ndash;Pierce notation]] (based on the [[lambda]] scale)
 * [[Armodue]] number notation (based on the [[superdiatonic]] scale)
 * [[Fox-Raven notation]] (based on the [[oneirotonic]] scale)