User:Ganaram inukshuk/4L 3s: Difference between revisions
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== Name == | == Name == | ||
[[TAMNAMS]] suggests the name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this scale. The name is derived from 'sharp minor third', since the central range for the dark generator (320¢ to 333.3¢) is significantly sharp of [[6/5]] (315.6¢). | [[TAMNAMS]] suggests the name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this scale. The name is derived from 'sharp minor third', since the central range for the dark generator (320¢ to 333.3¢) is significantly sharp of [[6/5]] (just minor 3rd, 315.6¢). | ||
== Intervals == | |||
Names for intervals and scale degrees are based on [[TAMNAMS]], where names for mossteps and mosdegrees start at 0 for the unison. 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]] (or sizes), whose [[Interval quality|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators. | |||
{| class="wikitable" | |||
|+TODO: make this into a template | |||
! rowspan="2" |Interval class | |||
! colspan="2" |Large variety | |||
! colspan="2" |Small variety | |||
|- | |||
!Size | |||
!Quality | |||
!Size | |||
!Quality | |||
|- | |||
|'''0-mosstep (unison)''' | |||
|0 | |||
|Perfect | |||
|0 | |||
|Perfect | |||
|- | |||
|1-mosstep | |||
|L | |||
|Major | |||
|s | |||
|Minor | |||
|- | |||
|2-mosstep | |||
|L+s | |||
|Augmented | |||
|2L | |||
|Perfect | |||
|- | |||
|3-mosstep | |||
|L + 2s | |||
|Major | |||
|2L + s | |||
|Minor | |||
|- | |||
|4-mosstep | |||
|2L + 2s | |||
|Perfect | |||
|3L + 1s | |||
|Minor | |||
|- | |||
|5-mosstep | |||
|2L + 3s | |||
|Perfect | |||
|3L + 2s | |||
|Diminished | |||
|- | |||
|6-mosstep | |||
|2L + 3s | |||
|Major | |||
|3L + 3s | |||
|Minor | |||
|- | |||
|'''7-mosstep (octave)''' | |||
|4L + 3s | |||
|Perfect | |||
|4L + 3s | |||
|Perfect | |||
|} | |||
== Notation == | == Notation == | ||
Note names are based on [[Diamond-mos notation|diamond-MOS notation]], where the | Note names for this article are based on [[Diamond-mos notation|diamond-MOS notation]], where the naturals JKLMNOP are applied to the step pattern LsLsLsL and the accidentals & (pronounced "am" or "amp") and @ (pronounced "at") are used to represent sharps and flats respectively. Thus, the basic gamut for 4L 3s is the following: | ||
{{MOS gamut|Scale Signature=4L 3s}} | {{MOS gamut|Scale Signature=4L 3s}} | ||
== Theory == | |||
''RTT-related stuff here?'' | |||
== Tunings == | == Tunings == | ||
The basic tuning for 4L 3s has a large and small step size of 2 and 1 respectively, which is supported by 11edo. Raising or lowering | The basic tuning for 4L 3s has a large and small step size of 2 and 1 respectively, which is supported by 11edo. Raising or lowering certain nominals by a [[chroma]] produces the following scale degrees. | ||
{{MOS degrees|Scale Signature=4L 3s|Step Ratio=2/1}} | {{MOS degrees|Scale Signature=4L 3s|Step Ratio=2/1}} | ||
=== Simple tunings === | === Simple tunings === |