User:Moremajorthanmajor/4L 1s (5/3-equivalent): Difference between revisions

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{{Infobox MOS|Equalized=5|Equave=5/3|Name=|Collapsed=4|Pattern=LLLLs|nLargeSteps=4|nSmallSteps=1}}
{{Infobox MOS|Equalized=5|Equave=5/3|Name=|Collapsed=4|Pattern=LLLLs|nLargeSteps=4|nSmallSteps=1}}


'''4L 1s<5/3>''' (sometimes called '''diatonic'''), is a minor sixth-repeating MOS scale. The notation "<5/3>" means the period of the MOS is 5/3, disambiguating it from octave-repeating [[4L 1s]]. The name of the period interval is called the '''sextave''' (by analogy to the [[tritave]]).
'''4L 1s<5/3>''' (sometimes called '''diatonic'''), is a major sixth-repeating MOS scale. The notation "<5/3>" means the period of the MOS is 5/3, disambiguating it from octave-repeating [[4L 1s]]. The name of the period interval is called the '''sextave''' (by analogy to the [[tritave]]).


The generator range is 171.4 to 240  cents, placing it on the diatonic major second, usually representing a major second of some type (like [[8/7]]). The bright (chroma-positive) generator is, however, its major sixth complement (685.7 to 720 cents).  
The generator range is 171.4 to 240  cents, placing it on the diatonic major second, usually representing a major second of some type (like [[8/7]]). The bright (chroma-positive) generator is, however, its major sixth complement (685.7 to 720 cents).  
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There are 2 main ways to notate the diatonic scale. One method uses a simple sextave (minor sixth) repeating notation consisting of 5 naturals (Do, Re, Mi, Fa, Sol or Sol, La, Si, Do, Re). Given that 1-5/4-3/2 is major sixth-equivalent to a tone cluster of 1-10/9-5/4, it may be more convenient to notate these diatonic scales as repeating at the double sextave (augmented eleventh~twelfth), however it does make navigating the [[Generator|genchain]] harder. This way, 3/2 is its own pitch class, distinct from 10\9. Notating this way produces a twelfth which is the Scala Francisci[8L 2s]. Since there are exactly 10 naturals in double sextave notation, Greek numerals 1-10 may be used.
There are 2 main ways to notate the diatonic scale. One method uses a simple sextave (major sixth) repeating notation consisting of 5 naturals (Do, Re, Mi, Fa, Sol or Sol, La, Si, Do, Re). Given that 1-5/4-3/2 is major sixth-equivalent to a tone cluster of 1-10/9-5/4, it may be more convenient to notate these diatonic scales as repeating at the double sextave (augmented eleventh~twelfth), however it does make navigating the [[Generator|genchain]] harder. This way, 3/2 is its own pitch class, distinct from 10\9. Notating this way produces a twelfth which is the Scala Francisci[8L 2s]. Since there are exactly 10 naturals in double sextave notation, Greek numerals 1-10 may be used.
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{| class="wikitable"
{| class="wikitable"
|+''ed3\4''
|+''ed9\12 (→ed3\4)''
! colspan="2" |Notation
! colspan="2" |Notation
!Supersoft
!Supersoft
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(bright)
(bright)
! colspan="2" |Normalised
! colspan="2" |Normalised
! colspan="2" |''ed3\4''
! colspan="2" |''ed9\12 (→ed3\4)''
! rowspan="2" |L
! rowspan="2" |L
! rowspan="2" |s
! rowspan="2" |s