Degree (music)





Scale degree roman numerals.[1]About this sound Play 




Scale degree names[2] (C major scale) About this sound Play ).


In music theory, scale degree refers to the position of a particular note on a scale[3] relative to the tonic, the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and chords, and whether they are major or minor.


In the most general sense, the scale degree merely is the number given to each step of the scale, usually starting with 1=tonic. Defining it like this implies that a tonic is specified. For instance the 7-tone diatonic scale may become the major scale once the proper degree has been chosen as tonic (e.g. the C-major scale C–D–E–F–G–A–B, in which C is the tonic). If the scale has no tonic, the starting degree must be chosen arbitrarily. In set theory, for instance, the 12 degrees of the chromatic scale usually are numbered starting from C=0, the twelve pitch classes being numbered from 0 to 11.


In a more specific sense, scale degrees are given names that indicate their particular function within the scale. This definition implies a functional scale, as is the case in tonal music.


The expression scale step is sometimes used synonymously with scale degree, but it may alternatively refer to the distance between two successive and adjacent scale degrees (see Steps and skips). The terms "whole step" and "half step" are commonly used as interval names (though "whole scale step" or "half scale step" are not used). The number of scale degrees and the distance between them together define the scale they are in.



Major and minor scales


The degrees of the traditional major and minor scales may be identified several ways:


  • the first, second, (major or minor) third, fourth, fifth, major or minor sixth, and major or minor seventh degrees of the scale;

  • by Arabic numerals (1, 2, 3, 4 ...), sometimes with circumflexes (1^,2^,3^...displaystyle hat 1,hat 2,hat 3...hat 1,hat 2,hat 3...);

  • by Roman numerals (I, II, III, IV ...);

  • the diatonic mode which starts on the degree, and contains all the notes in the key

  • in English, by the names and function: tonic, supertonic, mediant, subdominant, dominant, submediant, leading note (leading tone in the United States) and tonic again.

These names are derived from a scheme where the tonic note is the 'centre'. Supertonic and subtonic are, respectively, one step above and one step below the tonic; mediant and submediant are each a third above and below the tonic, and dominant and subdominant are a fifth above and below the tonic.

Subtonic is used when the interval between it and the tonic in the upper octave is a whole step; leading note when that interval is a half-step.
  • in English, by the "moveable Do" Solfege system, which allows a person to name each scale degree with a single syllable while singing.































































Degree
Name (Diatonic Function)
Corresponding mode (major key)
Corresponding mode (minor key)
Meaning
Note (in C major)
Note (in C minor)
1st
Tonic

Ionian

Aeolian
Tonal center, note of final resolution
C
C
2nd
Supertonic

Dorian

Locrian
One whole step above the tonic
D
D
3rd
Mediant

Phrygian

Ionian
Midway between tonic and dominant, (in minor key) root of relative major key
E
E
4th
Subdominant

Lydian

Dorian
Lower dominant, same interval below tonic as dominant is above tonic
F
F
5th
Dominant

Mixolydian

Phrygian
2nd in importance to the tonic
G
G
6th
Submediant

Aeolian

Lydian
Lower mediant, midway between tonic and subdominant, (in major key) root of relative minor key
A
A
7th
Leading tone(in Major scale) / Subtonic (in Natural Minor Scale)

Locrian

Mixolydian
Melodically strong affinity for and leads to tonic/One half step below tonic in Major scale and whole step in Natural minor.
B
B
1st (8th)
Tonic (octave)
Ionian
Aeolian
Tonal center, note of final resolution
C'
C'


See also


  • Factor (chord)

  • Music education

  • Tonality


Sources




  1. ^ Jonas, Oswald (1982). Introduction to the Theory of Heinrich Schenker (1934: Das Wesen des musikalischen Kunstwerks: Eine Einführung in Die Lehre Heinrich Schenkers), p.22. Trans. John Rothgeb. .mw-parser-output cite.citationfont-style:inherit.mw-parser-output qquotes:"""""""'""'".mw-parser-output code.cs1-codecolor:inherit;background:inherit;border:inherit;padding:inherit.mw-parser-output .cs1-lock-free abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-lock-limited a,.mw-parser-output .cs1-lock-registration abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-lock-subscription abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registrationcolor:#555.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration spanborder-bottom:1px dotted;cursor:help.mw-parser-output .cs1-hidden-errordisplay:none;font-size:100%.mw-parser-output .cs1-visible-errorfont-size:100%.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-formatfont-size:95%.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-leftpadding-left:0.2em.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-rightpadding-right:0.2em
    ISBN 0-582-28227-6. Shown all uppercase.



  2. ^ Benward & Saker (2003). Music: In Theory and Practice, Vol. I, p.32-3. Seventh Edition.
    ISBN 978-0-07-294262-0. "Scale degree names: Each degree of the seven-tone diatonic scale has a name that relates to its function. The major scale and all three forms of the minor scale share these terms."



  3. ^ Kolb, Tom (2005). Music Theory for Guitarists, p.16.
    ISBN 0-634-06651-X.












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