2L 5s: Difference between revisions

Ganaram inukshuk (talk | contribs)
Changed note names back to CDEFGAB and b/#, as recommended by CompactStar; since antidiatonic and diatonic intervals line up so closely, this article now uses ordinal notation instead
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Ganaram inukshuk (talk | contribs)
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:''This article assumes [[TAMNAMS]] for naming step ratios, with TAMNAMS-prefixed ordinal notation used for intervals and scale degrees.''
:''This article assumes [[TAMNAMS]] for naming step ratios, with TAMNAMS-prefixed ordinal notation used for intervals and scale degrees.''
===Intervals and degrees===
===Intervals and degrees===
Since diatonic and antidiatonic interval classes are so similar to one another, names for this scale's intervals are the same as that as diatonic intervals, prefixed with pel- to distinguish them from diatonic intervals.
Names for this scale's intervals are the same as that as diatonic intervals, prefixed with pel- to distinguish them from diatonic intervals. Note that harmonic qualities of diatonic are switched here: major and minor are switched, as are augmented and diminished.{{MOS intervals|Interval Notation=ordinals|MOS Prefix=pel}}
 
Being a moment-of-symmetry scale, every [[interval class]] of 2L 5s, except for the unison and octave, has two [[Interval variety|varieties]] – large and small – whose [[Interval quality|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators.
{{MOS intervals|Interval Notation=ordinals|MOS Prefix=pel}}
===Note names ===
===Note names ===
The most common way of notating this scale is to use the same note names (CDEFGAB) and accidentals (# and b) as that of diatonic, but read as antidiatonic instead. There are, however, two ways of notating accidentals:
The most common way of notating this scale is to use the same note names and accidentals as that of diatonic (CDEFGAB, #, and b), but read as antidiatonic instead. There are, however, two ways of notating accidentals:


* Harmonic notation, where the sharps and flats of diatonic switch roles (sharp flattens and flats sharpen). This article will use this interpretation of sharps and flats.
* Harmonic antidiatonic notation, where the sharps and flats of diatonic switch roles: sharps flatten and flats sharpen. This article will use this interpretation of sharps and flats.
* Melodic notation, where the meaning of sharps and flats are preserved (sharps sharpen and flats flatten).
* Melodic antidiatonic notation, where the meaning of sharps and flats are preserved: sharps sharpen and flats flatten.


In any case, the naturals DEFGABC are applied to the step pattern sLsssLs, the antidorian mode on D. Thus, the basic gamut for 2L 5s is the following:
In any case, the naturals DEFGABC are applied to the step pattern sLsssLs, the antidorian mode on D. Thus, the basic gamut for 2L 5s is the following: