A scale-degree is a position within a musical scale: one of the scale's ordered ordinal slots (1-7 in an octave scale, numbered from the tonic) which, once the scale is fixed, holds a named pitch-class. PARAMETERS: (1) ordinal position — the slot's index within the scale's ordered collection, counted from the tonic (1 = tonic, 2 = supertonic, 3 = mediant, 4 = subdominant, 5 = dominant, 6 = submediant, 7 = leading-tone in major / subtonic in natural minor); (2) scale of reference — the particular scale of which the degree is a position; the same ordinal slot holds different pitch-classes in different scales (the fifth degree is G in C major, F# in B major), so a degree is a position, not a pitch; (3) diatonic interval — the interval from the tonic that the slot occupies (the fifth degree sits a perfect fifth above the tonic in a major scale); (4) functional role, in tonal contexts — the cadential pull the position carries (the dominant function of the fifth degree, the leading function of the major seventh degree), which specific named degrees carry as their own entries. PERSISTENCE: codified in tonal theory as scale-degree numerals (1-7), solfege syllables (do-re-mi-fa-sol-la-ti), and degree names; taught in harmony, counterpoint, and ear-training curricula; re-instantiated in every analysis — Roman-numeral analysis names chords by their degree of origin and voice-leading tracks the degrees' motion. Distinctions: from a bare pitch (any point on the pitch axis — a degree is a position a pitch occupies within a scale, and the same pitch is a different degree in different keys); from a note (a notated or performed event); from the musical scale itself (the ordered collection — the degree is a position within it, not the collection); and from the specific named degrees (dominant, leading-tone — particular kinds of scale-degree filed as their own entries). [formal: gradus scalae | substrate: mind | horizon: centuries | explicit: yes | epoch: 0.01]
Accepted ontology entry
scale-degree
A scale-degree is a position within a musical scale: one of the scale's ordered ordinal slots (1-7 in an octave scale, numbered from the tonic) which, once the scale is fixed, holds a named pitch-class. PARAMETERS: (1) ordinal position — t…
Definition
Why it is in scope
A human-made position within a musical scale — one of its ordered ordinal slots, which in a given scale holds a named pitch-class — built to persist in tonal practice and analysis as the unit of degree nomenclature, solfège, and voice-leading.
Names and aliases
- scale-degreeen · CANONICAL
Relations from this entry
- musical-scaleDEPENDS_ON →
Law 8b removal test on the GENERIC construct: the scale-degree operates as the scale's ordinal position — its entire mechanism is indexing the scale's ordered pitch-class collection (counting slots 1-7 from the tonic, naming the slot, assigning its pitch-class occupant). Remove the musical-scale now and that operation stops: there is no ordered collection to index, no ordinal slot to number or name, and a bare pitch remains a pitch, never becoming a degree. Distinct from the specific named degrees (dominant, leading-tone), whose FUNCTIONAL anchors are the tonic and whose functions persist in performance and cadential practice without the scale-as-construct — their accepted nearer dependency runs to tonic, and their scale-degree status is secondary to that function. Also distinct from a parameter-level reference (chord as a parameter of harmony): the generic degree is not a parameter value OF the scale, it is the scale's positional-indexing apparatus, whose only operation is inside the scale. Pinned sense (Law 11d): the generic ordinal position per the source's definition. Direction tested: the scale operates without any degree concept (a melody can be played and analyzed by pitch alone); the degree cannot operate without the scale.
Relations to this entry
- subtonic← INSTANCE_OF
The subtonic is a specific kind of scale-degree: the seventh ordinal slot of a natural minor scale, distinguished by its whole-tone intervallic status and the absence of the leading function. The source's accepted definition carves it as 'scale degree 7 of a natural minor scale: the pitch a whole tone below the tonic that bears NO leading function' — a scale-degree with its ordinal fixed at 7, its intervallic status fixed (whole tone, not semitone), and its function named (the bVII / flat-seven role). scale-degree is the NEAREST accepted kind (Law 11e): no intermediate rung exists on the map; musical-scale is the container of degrees, not a kind; the leading-tone is its alternate occupant of the same slot, not its kind. A competent speaker calls the subtonic 'a scale degree — the flat seven'. Specific to general (Law 9); pinned sense (Law 11d): the natural-minor seventh degree per the source's own definition.
- supertonic← INSTANCE_OF
Law 9, nearest kind: the supertonic is a specific kind of scale-degree — the second degree, the ordinal slot the scale-degree entry's own definition names ('2 = supertonic') and assigns the outward departure function to. Filed against the nearest accepted kind (scale-degree), following the accepted neighborhood pattern: dominant INSTANCE_OF scale-degree, subdominant INSTANCE_OF scale-degree, submediant INSTANCE_OF scale-degree, leading-tone INSTANCE_OF scale-degree, and subtonic INSTANCE_OF scale-degree all stand. No intermediate kind (e.g. 'named degree' or 'functional degree') exists on the board, so this is not a ladder leap. Pinned sense (Law 11d): the supertonic per its own scope — the second scale degree and its outward departure function. A competent analyst would say 'the supertonic is a scale degree': it is a position within a scale with a name, an interval, and a function, not a scale, a bare pitch, or a chord.
- submediant← INSTANCE_OF
The submediant is a specific kind of scale-degree: the sixth ordinal slot of a diatonic scale, functionally designated by its position a sixth above the tonic. The source's accepted definition carves it as 'scale degree 6 of a key: the pitch a major sixth above the tonic ... bearing the submediant function' - a scale-degree with its ordinal fixed at 6 and its function named. scale-degree is the NEAREST accepted kind (Law 11e): no intermediate rung exists on the map; musical-scale is the container of degrees, not their kind; tonic is the degree's relational anchor, not its kind. A competent speaker calls the submediant 'a scale degree - the sixth'. Specific to general (Law 9); pinned sense (Law 11d): the functional sixth degree per the source's own definition.
- subdominant← INSTANCE_OF
Law 9, nearest kind: the subdominant is a specific kind of scale-degree — the fourth degree, the ordinal slot the scale-degree entry's own definition names ('4 = subdominant') and assigns the departure function to. Filed against the nearest accepted kind (scale-degree), following the accepted neighborhood pattern: dominant INSTANCE_OF scale-degree and leading-tone INSTANCE_OF scale-degree both stand, and no intermediate kind (e.g. a 'named degree' entry) exists on the board, so this is not a ladder leap. Pinned sense (Law 11d): the subdominant per its own scope — the fourth scale degree and the function built on it. A competent analyst would say 'the subdominant is a scale degree': it is a position within a scale with a name and a function, not a scale, a bare pitch, or a chord.
- tonic← INSTANCE_OF
Tonic is the first scale degree of a diatonic scale — the tonal center around which other degrees function. Pinned sense: tonic as the first scale degree, not as a general concept of tonality.
- dominant← INSTANCE_OF
The dominant is a specific kind of scale-degree: the fifth ordinal slot of the scale, functionally designated. The source's accepted definition carves it as 'scale degree 5 of the key: the pitch a perfect fifth above the tonic, and the bearer of the dominant function' — a scale-degree with its ordinal fixed at 5 and its function named. scale-degree is the NEAREST accepted kind (Law 11e): no intermediate rung (fifth-degree, functional-degree) exists on the map; musical-scale is the container of degrees, not a kind a degree is an instance of; tonic is the anchor degree, not a kind. A competent speaker calls the dominant 'a scale degree — the fifth one'. Specific to general (Law 9); pinned sense (Law 11d): the functional fifth degree per the source's own definition.
- leading-tone← INSTANCE_OF
The leading-tone is a specific kind of scale-degree: the seventh ordinal slot of a major scale, functionally designated by its semitone resolution to the tonic. The source's accepted definition carves it as 'scale degree 7 of a major key — the pitch a semitone below the tonic — and the bearer of the leading function' — a scale-degree with its ordinal fixed at 7 and its function named. scale-degree is the NEAREST accepted kind (Law 11e): no intermediate rung exists on the map; musical-scale is the container of degrees, not a kind; tonic is the degree's relational anchor, not its kind. A competent speaker calls the leading tone 'a scale degree — the seventh in major'. Specific to general (Law 9); pinned sense (Law 11d): the functional seventh degree per the source's own definition.
- mediant← INSTANCE_OF
Law 9, nearest kind: the mediant is a specific kind of scale-degree — the third degree, the ordinal slot the scale-degree entry's own definition names (3 = mediant) and assigns the middle-function to. Filed against the nearest accepted kind (scale-degree), following the accepted neighborhood pattern: dominant, subdominant, submediant, leading-tone, subtonic, and supertonic all INSTANCE_OF scale-degree. No intermediate kind exists on the board. Pinned sense (Law 11d): the mediant per its own scope.
Record identity
- Created
- Sep 26, 2026, 3:48 AM UTC
- Content hash
- 3653bf24559d0313ea0b96d5acef41b2f1a08443835782f816c2d2ecabf16e18