Music Projection OntologyMusic Projection Ontology

An accidental is a symbol used to indicate that a pitch class should be raised or lowered.

• Flat accidental ^c
• Natural accidental ^c
• Sharp accidental ^c

The type that classifies an ambitus.

The type that classifies a cadence.

A chord is a vertical set of notes played at the same time.

A clef is used to indicate which notes are represented on each line and space of a musical staff.

A duration is the amount of time that a music projection lasts.

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

An enharmonic interval (EIV) is the difference between two EPCs

E.g. 5 semitones

• spans over ^dp only
  
• spans over ^dp max 1
  

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

An enharmonic pitch class (EPC) is a numeric value from 1 to 12. It represents an absoute value for a pitch class. It is not possible to identify modfiers, becuase of the existance of enharmonic pitches.

E.g. 9

• has specific interval value ^op some
  and has starting pitch class ^op some
  
• has starting pitch class ^op some
  and has specific interval value ^op some
  
• has starting pitch class ^op some
  and has specific interval value ^op some
  

A flat accidental is an accidental that lowers a pitch.

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A generic interval (GIV) is the difference between two GPCs

E.g. a 3rd

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A generic pitch class (GPC) is a symbol from A to G that representes a generically a pitch class, without taking into account modifiers and octaves.

E.g. C

• Enharmonic pitch class ^c
• Spelled pitch class ^c
• has starting pitch class ^op some
  and has specific interval value ^op some
  
• has starting pitch class ^op some
  and has specific interval value ^op some
  
• has specific interval value ^op some
  and has starting pitch class ^op some
  

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A generic scale degree (GSD) is a number from 1 to 7 that defines a one-to-one mapping from a GPC to a SIV.

E.g. 3

An interval is a difference between two pitch classes.

• has specific interval value ^op
• has starting pitch class ^op

• is specific interval value of ^op
• is starting pitch class of ^op

• has specific interval value ^op only
  
• has starting pitch class ^op only
  
• has specific interval value ^op max 1
  
• has starting pitch class ^op max 1
  

• Enharmonic interval ^c
• Generic interval ^c

The quality of an interval.

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A key is the combination of a mode and a tonic PC,

The type that classifies a mode.

A natural accidental is an accidental that cancels previous accidentals.

A note is a pitch that is played for a specified duration.

• has duration ^op
• has pitch ^op

• is duration of ^op
• is pitch of ^op

• has accidental ^op only
  
• has pitch ^op exactly 1
  

A pitch is a perceptual property of a sound, related to a frequency. It is defined as the combination of a pitch class and an octave.

• has pitch class ^op
• is pitch of ^op

• has pitch ^op
• is pitch class of ^op

• has pitch class ^op only
  
• has pitch class ^op exactly 1
  
• has octave ^dp only
  
• has octave ^dp max 1
  

The set of alla pitches that are a whole number of octaves apart.

• is pitch class of ^op
• is starting pitch class of ^op

• has pitch class ^op
• has starting pitch class ^op
• isAccidentalOf ^op

• Generic pitch class ^c
• Generic scale degree ^c

A sharp accidental is an accidental that changes a pitch in an higher one.

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A specific interval (SIV) is the difference between two SPCs

E.g. a majord 3rd

• has quality ^op
• is specific interval value of ^op

• has specific interval value ^op
• is quality of ^op

• has quality ^op only
  
• has quality ^op exactly 1
  

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A specific scale degree (SSD) is a number from 1 to 7 plus an accidental that defines a one-to-one mapping from a GPC to a SIV.

E.g. b3

Hentschel, J., Moss, F. C., McLeod, A., Neuwirth, M., & Rohrmeier, M. (2022). Towards a unified model of chords in western harmony.

A spelled pitch class (SPC) is a GPC plus an accidental.

E.g. C#

• Accidental ^c
• Ambitus ^c
• Ambitus type ^c
• Cadence ^c
• Cadence type ^c
• Chord ^c
• Clef ^c
• Duration ^c
• Interval ^c
• Interval quality ^c
• Key ^c
• Mode ^c
• Mode type ^c
• Note ^c
• Pitch ^c
• Pitch class ^c

Relation between a pitch class and an accidental.

The relation between an ambitus and the type it is classified as.

The relationship between a cadence and a type it is classified as.

Relation between a note and its duration.

The relation between a mode and a type it is classified as.

Relation between a note and its pitch.

The relation between a pitch and the pitch class represented.

Relation between an interval and its quality.

The value of an interval is the amount of pitch classes it encompasses.

The reference pitch class of an interval, from which a different pitch class can be obtained by shifting by the adequate number of pitch classes.

The relationship between an ambitus type and an ambitus it classifies.

The relationship between a cadence type and a cadence it classifies.

Defines the relationship between a chord and the pitch class or pitch it is composed of.

Relation between a duration and a note it is used in.

The relationship between a mode type and a mode it classifies.

Relation between a pitch class and the pitches it is instiatied as.

Relation between a pitch and the note it is used in.

Relation between a quality and an interval.

The amount of pitch classes ranged by an interval.

The interval a PC is reference of.

Relates a chord to its inversion.

Defines the octave of a PC or of a pitch.

Defines the staff line of a clef.

Number of diatonic steps spanned by an enharmonic interval.

Relation between a pitch class and an accidental.

Relation between a note and its duration.

Relation between a note and its pitch.

The relation between a pitch and the pitch class represented.

Relation between an interval and its quality.

The value of an interval is the amount of pitch classes it encompasses.

The reference pitch class of an interval, from which a different pitch class can be obtained by shifting by the adequate number of pitch classes.

Relates a chord to its inversion.

Defines the octave of a PC or of a pitch.

Number of diatonic steps spanned by an enharmonic interval.