Nominal-accidental chain: Difference between revisions

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: ''"Sharp" and "flat" redirect here. For the temperaments, see [[Sharp (temperament)]] and [[Flat (temperament)]].''

This is a neologism for ~~very~~ common pattern in [[Notation|notating]] microtonal pitch systems. These are ~~analogic~~ extensions of basic Western ~~music~~ notation.

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

'''~~Nominal~~''' ~~means~~ that ~~some pitches~~ have specific names. In Western ~~music~~ 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 G (historically, H has also been used). In a pentatonic notation, there would be only five names.

'''~~Accidental~~''' ~~means that~~ additional pitches arise as modifications ~~(accidentals)~~ of the ~~named pitches~~. Unmodified pitches are natural notes. In ~~Western music~~ notation, the ~~five "black keys"~~ are ~~named~~ by adding ~~"sharp"~~ or ~~"flat"~~ to A-G.

'''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 [[qual temperament]]s, the number of steps this interval is mapped to is called the [[sharpness]].

~~The named~~ 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. ~~This~~ interval ~~traditionally~~ 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.

~~Western musical notation uses 7 nominals in a chain of fifths, and is a heptatonic fifth-based notation.~~

'''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 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.

This page is incomplete, and will eventually contain or refer to

* How to use A-G circle-of-fifths notation to notate any tuning with a [[circle of fifths]]

* Non-A-G extensions, including [[Erv Wilson]]'s greek letters, [[Bohlen-Pierce]] notation, [[Armodue]] number notation

* [[Mark Gould]]'s connection of accidentals to [[bi-level MOS]]

@@ Line 3: / Line 3: @@
 : ''"Sharp" and "flat" redirect here. For the temperaments, see [[Sharp (temperament)]] and [[Flat (temperament)]].''
-This is a neologism for very common pattern in [[Notation|notating]] microtonal pitch systems. These are analogic extensions of basic Western music notation.
+This is a neologism for the common pattern in [[Notation|notating]] microtonal pitch systems. These are analogous extensions of basic Western musical notation.
-'''Nominal''' means that some pitches have specific names. In Western music 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 G (historically, H has also been used). In a pentatonic notation, there would be only five names.
-'''Accidental''' means that additional pitches arise as modifications (accidentals) of the named pitches. Unmodified pitches are natural notes. In Western music notation, the five "black keys" are named by adding "sharp" or "flat" to A-G.
+'''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 [[qual temperament]]s, the number of steps this interval is mapped to is called the [[sharpness]].
-The named 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. This interval traditionally 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.
-Western musical notation uses 7 nominals in a chain of fifths, and is a heptatonic fifth-based notation.
+'''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 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.
 This page is incomplete, and will eventually contain or refer to
-* How to use A-G circle-of-fifths notation to notate any tuning with a [[circle of fifths]]
 * Non-A-G extensions, including [[Erv Wilson]]'s greek letters, [[Bohlen-Pierce]] notation, [[Armodue]] number notation
 * [[Mark Gould]]'s connection of accidentals to [[bi-level MOS]]

Nominal-accidental chain: Difference between revisions

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