Glossary of scale properties: Difference between revisions

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== Definitions ==

~~; Scale degree~~

: The number of steps subtended by an interval from the tonic. In conventional music theory, degrees are usually given 1-indexed ordinal names just like diatonic intervals themselves, for example ''the fifth degree'' for the degree occupied by the fifth in diatonic. However, in xeenharmonic non-diatonic scale theory, 0-indexed names are preferred: the ''k''-degree is the degree represented by the ''k''-step generic interval from the tonic.

; Interval

: A specific musical interval (e.g. a major third or minor seventh).

; Generic interval

; Generic interval / ordinal category

: A class of intervals which fall on the same scale degrees. In diatonic, these classes are the set of seconds, the set of thirds, the set of fifths, etc. Generic intervals can also be likened to distances between note-heads on a traditional staff. A generic interval composed of ''k'' scale steps in any scale, diatonic or not, can be called a "''k''-step" (terminology taken from [[TAMNAMS]]).

; Scale degree

: The number of steps subtended by a generic interval from the tonic. In conventional music theory, degrees are usually given 1-indexed ordinal names just like diatonic intervals themselves, for example ''the fifth degree'' for the degree occupied by the fifth in diatonic. However, in xeenharmonic non-diatonic scale theory, 0-indexed names are preferred: the ''k''-degree is the degree represented by the ''k''-step generic interval from the tonic.

== Properties ==

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 == Definitions ==
-; Scale degree
-: The number of steps subtended by an interval from the tonic. In conventional music theory, degrees are usually given 1-indexed ordinal names just like diatonic intervals themselves, for example ''the fifth degree'' for the degree occupied by the fifth in diatonic. However, in xeenharmonic non-diatonic scale theory, 0-indexed names are preferred: the ''k''-degree is the degree represented by the ''k''-step generic interval from the tonic.
 ; Interval
 : A specific musical interval (e.g. a major third or minor seventh).
-; Generic interval
+; Generic interval / ordinal category
 : A class of intervals which fall on the same scale degrees. In diatonic, these classes are the set of seconds, the set of thirds, the set of fifths, etc. Generic intervals can also be likened to distances between note-heads on a traditional staff. A generic interval composed of ''k'' scale steps in any scale, diatonic or not, can be called a "''k''-step" (terminology taken from [[TAMNAMS]]).
+; Scale degree
+: The number of steps subtended by a generic interval from the tonic. In conventional music theory, degrees are usually given 1-indexed ordinal names just like diatonic intervals themselves, for example ''the fifth degree'' for the degree occupied by the fifth in diatonic. However, in xeenharmonic non-diatonic scale theory, 0-indexed names are preferred: the ''k''-degree is the degree represented by the ''k''-step generic interval from the tonic.
 == Properties ==