User:Ganaram inukshuk/4L 3s: Difference between revisions

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Sandboxed notation section with more than one notation option
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: ''This article assumes [[TAMNAMS]] for naming step ratios, intervals, and scale degrees.''
: ''This article assumes [[TAMNAMS]] for naming step ratios, intervals, and scale degrees.''
Names for this scale's intervals (mossteps) and scale degrees (mosdegrees) are based on the number of large and small steps from the root, starting at 0 (0-mosstep and 0-mosdegree) for the unison, per TAMNAMS. Ordinal names, such as smi-1st for the unison, are discouraged for non-diatonic MOS scales, as ordinal indexing is reserved for describing diatonic interval categories of a MOS scale's mossteps.
Names for this scale's intervals (mossteps) and scale degrees (mosdegrees) are based on the number of large and small steps from the root, starting at 0 (0-mosstep and 0-mosdegree) for the unison, per TAMNAMS. Ordinal names, such as mos-1st for the unison, are discouraged for non-diatonic MOS scales.


Being a moment-of-symmetry scale, every [[interval class]] of 4L 3s, 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.
Except for the unison and octave, all [[Interval class|interval classes]] have two [[Interval variety|varieties]] or sizes, denoted using the terms ''major'' and ''minor'' for the large and small sizes, respectively. The exception to this rule are the generators, which use the terms ''augmented'', ''perfect'', and ''diminished'' instead.
 
{| class="wikitable"
{{MOS intervals|Scale Signature=4L 3s|MOS Prefix=smi}}
|+Intervals of 4L 3s
!Interval class
!Specific intervals
!Size (in ascending order)
|-
|'''0-smistep'''
|'''Perfect 0-smistep (unison)'''
|0
|-
| rowspan="2" |1-smistep
|Minor 1-smistep
|s
|-
|Major 1-smistep
|L
|-
| rowspan="2" |'''2-smistep'''
|'''Perfect 2-smistep'''
|L + s
|-
|Augmented 2-smistep
|2L
|-
| rowspan="2" |3-smistep
|Minor 3-smistep
|L + 2s
|-
|Major 3-smistep
|2L + s
|-
| rowspan="2" |4-smistep
|Minor 4-smistep
|2L + 2s
|-
| Major 4-smistep
|3L + s
|-
| rowspan="2" |'''5-smistep'''
|Diminished 5-smistep
| 2L + 3s
|-
|'''Perfect 5-smistep'''
|3L + 2s
|-
| rowspan="2" |6-smistep
|Minor 6-smistep
|3L + 3s
|-
|Major 6-smistep
|4L + 2s
|-
|'''7-smistep (octave)'''
|'''Perfect 7-smistep (octave)'''
|4L + 3s
|}
Different forms of this MOS are generally built using one specific interval for each interval class, while the step pattern LLsLsLs, or some rotation thereof, is formed between consecutive scale degrees. Alternatively, MODMOS scales can be formed by deviating from the step pattern, such as with LLLssLs, or by including alterations outside the specific sizes described.


== Notation ==
== Notation ==