User:Ganaram inukshuk/4L 3s: Difference between revisions
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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. | 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]] | 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. | ||
The augmented and diminished varieties are used for chromatic extensions of this scale, where c is an interval needed to turn a small step into a large step. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+TODO: make this into a template | |+TODO: make this into a template | ||
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|- | |- | ||
|2-mosstep | |2-mosstep | ||
| | |2L | ||
|Augmented | |Augmented | ||
| | |L + s | ||
|Perfect | |Perfect | ||
|- | |- | ||
|3-mosstep | |3-mosstep | ||
|2L + s | |||
|Major | |||
|L + 2s | |L + 2s | ||
|Minor | |Minor | ||
|- | |- | ||
|4-mosstep | |4-mosstep | ||
|3L + 1s | |||
|Perfect | |||
|2L + 2s | |2L + 2s | ||
|Minor | |Minor | ||
|- | |- | ||
|5-mosstep | |5-mosstep | ||
|3L + 2s | |||
|Perfect | |||
|2L + 3s | |2L + 3s | ||
|Diminished | |Diminished | ||
|- | |- | ||
|6-mosstep | |6-mosstep | ||
|3L + 3s | |||
|Major | |||
|2L + 3s | |2L + 3s | ||
|Minor | |Minor | ||
|- | |- | ||
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{{MOS modes|Scale Signature=4L 3s|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic}} | {{MOS modes|Scale Signature=4L 3s|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic}} | ||
==Scales== | ==Scales== | ||
=== Subset and superset scales === | |||
4L 3s has a parent scale of [[1L 3s]], a tetratonic scale, meaning 1L 3s is a subset. 4L 3s also has two child scales, which are supersets of 4L 3s: | |||
* [[7L 4s]], a smitonic chromatic scale produced using soft-of-basic step ratios. | |||
* [[4L 7s]], a smitonic chromatic scale produced using hard-of-basic step ratios. | |||
11edo, the equalized form of both 7L 4s and 4L 7s, is also a superset of 4L 3s. | |||
===Scala files=== | ===Scala files=== | ||