Nominal-accidental chain: Difference between revisions

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This is a neologism for the common pattern in [[Musical notation|notating]] microtonal pitch systems. These are analogous extensions of basic Western musical notation.

'''Nominals''' are pitch elements that have specific names. In Western musical notation, these names are the seven letters A B C D E F G (historically, H has also been used). In a pentatonic notation, there would be only five names.

'''Nominals''' are pitch elements that have specific names. In Western musical notation, these names are the seven letters A, B, C, D, E, F, and G (historically, H has also been used). In a pentatonic notation, there would be only five names.

'''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 ~~A-G~~. 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]].

'''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.

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'''Enharmonic ~~equivalence~~''' may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12edo, 24edo, 36edo, etc.

'''Enharmonic equivalences''' may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12edo, 24edo, 36edo, etc.

== Specific notation schemes ==

@@ Line 5: / Line 5: @@
 This is a neologism for the common pattern in [[Musical notation|notating]] microtonal pitch systems. These are analogous extensions of basic Western musical notation.
-'''Nominals''' are pitch elements that have specific names. In Western musical notation, these names are the seven letters A B C D E F G (historically, H has also been used). In a pentatonic notation, there would be only five names.
+'''Nominals''' are pitch elements that have specific names. In Western musical notation, these names are the seven letters A, B, C, D, E, F, and G (historically, H has also been used). In a pentatonic notation, there would be only five names.
-'''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 A-G. 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]].
+'''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.
@@ Line 13: / Line 13: @@
 {{Wikipedia| Enharmonic equivalence }}
-'''Enharmonic equivalence''' may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12edo, 24edo, 36edo, etc.
+'''Enharmonic equivalences''' may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12edo, 24edo, 36edo, etc.
 == Specific notation schemes ==