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

Ganaram inukshuk (talk | contribs)
Ganaram inukshuk (talk | contribs)
Notation: Added intervals section before notation section; added a (blank) theory section, undecided where it should go
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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 nominals JKLMNOP are applied to the step pattern LsLsLsL and the symbols & (pronounced "am" or "amp") and @ (pronounced "at") are used to represent sharps and flats respectively. Thus, the gamut for 4L 3s:
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}}
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.
 
== 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 any of the nominals by a [[chroma]] produces the following scale degrees.
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 ===