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| Pattern = Ls
| Pattern = Ls
}}
}}
{{MOS intro}} It is the simplest valid MOS pattern, often referred to as the '''trivial MOS scale'''.


'''1L 1s''' is the simplest valid MOS pattern, often referred to as the '''trivial MOS scale'''.
== Names ==
[[TAMNAMS]] uses the name "monowood" for this MOS scale, in reference to the other n-wood names (such as biwood, triwood, and tetrawood), named after [[Limmic temperaments|blackwood]] and [[whitewood]]) and specifically refers to this mos with an octave period.


== Names ==
The name "trivial" refers to how this is a trivial MOS pattern, though the name is meant to be [[equave]]-agnostic.
[[TAMNAMS]] uses two names for this mos: '''trivial''' and '''monowood'''. The name "trivial" references how this is the simplest possible mos pattern and is used to refer to this mos with any period, and the name "monowood" is an extension of the other n-wood names (such as biwood, triwood, and tetrawood), named after [[Limmic temperaments|blackwood]] and [[whitewood]]) and specifically refers to this mos with an octave period.
 
== Modes ==
{{MOS mode degrees}}


== Modes and intervals ==
== Intervals ==
{| class="wikitable"
{{MOS intervals}}
!Mode
!UDP
!Mode name
!Rotational order
!mosunison
!1-mosstep
!mosoctave
|-
|Ls
|<nowiki>1|0</nowiki>
|<nowiki>1L 1s 1|</nowiki>
|0
|0 (perfect)
|L (major)
|L+s (perfect)
|-
|sL
|<nowiki>0|1</nowiki>
|<nowiki>1L 1s 0|</nowiki>
|1
|0 (perfect)
|s (minor)
|L+s (perfect)
|}


== Properties ==
== Properties ==
All single-period mosses ultimately start with a [[Generator|generating interval]] and, for octave-equivalent scales, the generator's [[octave complement]]. Hence, this scale can also be seen as the parent of every moment-of-symmetry scale and is thus found as the root of various scale trees, such as the [[MOS Scale Family Tree|mos family tree]].
All single-period mosses ultimately start with a [[Generator|generating interval]] and, for octave-equivalent scales, the generator's [[octave complement]]. Hence, this scale can also be seen as the parent of every strict moment-of-symmetry scale and is thus found as the root of various scale trees, such as the [[MOS Scale Family Tree|mos family tree]].


This mos is also its own [[sister]], though this property is also true of all nL ns scales.
This mos is also its own [[sister]], though this property is also true of all nL ns scales.
Line 49: Line 29:


== Scale tree ==
== Scale tree ==
As the mos 1L 1s is related to all single-period mosses, the scale tree depicted shows how more familiar mosses are related, rather than related temperaments.
As the mos 1L 1s is related to all single-period mosses, the scale tree depicted shows the ranges of related mosses, rather than temperaments.
{| class="wikitable"
{{MOS tuning spectrum
|+
| 5/4 = [[2L&nbsp;5s]] range (includes [[2L&nbsp;7s]] and [[7L&nbsp;2s]])
! colspan="6" |Generator
| 7/5 = [[5L&nbsp;2s]] range (includes [[7L&nbsp;5s]] and [[5L&nbsp;7s]])
!Bright gen.
| 8/5 = [[5L&nbsp;3s]] range
!Dark gen.
| 7/4 = [[3L&nbsp;5s]] range
!L
| 7/3 = [[3L&nbsp;4s]] range (includes [[3L&nbsp;7s]] and [[7L&nbsp;3s]])
!s
| 8/3 = [[4L&nbsp;3s]] range (includes [[7L&nbsp;4s]] and [[4L&nbsp;7s]])
!L/s
| 7/2 = [[4L&nbsp;1s]] range (includes [[4L&nbsp;5s]] and [[5L&nbsp;4s]])
! colspan="2" |Selected basic mosses
| 5/1 = [[1L&nbsp;4s]] range (includes [[5L&nbsp;1s]] and [[1L&nbsp;5s]])
!Other comments
}}
|-
|1\2
|
|
|
|
|
|600.000
|600.000
|1
|1
|1.000
|
|
|
|-
|
|
|
|
|
|6\11
|654.545
|545.455
|6
|5
|1.200
|
|Basic balzano (2L 7s)
|
|-
|
|
|
|
|5\9
|
|666.667
|533.333
|5
|4
|1.250
|Basic antidiatonic (2L 5s)
|
|
|-
|
|
|
|
|
|9\16
|675.000
|525.000
|9
|7
|1.286
|
|Basic armotonic (7L 2s)
|
|-
|
|
|
|4\7
|
|
|685.714
|514.286
|4
|3
|1.333
|
|
|
|-
|
|
|
|
|
|11\19
|694.737
|505.263
|11
|8
|1.375
|
|
|
|-
|
|
|
|
|7\12
|
|700.000
|500.000
|7
|5
|1.400
|Basic diatonic (5L 2s)
|
|
|-
|
|
|
|
|
|10\17
|705.882
|494.118
|10
|7
|1.429
|
|
|
|-
|
|
|3\5
|
|
|
|720.000
|480.000
|3
|2
|1.500
|
|
|
|-
|
|
|
|
|
|11\18
|733.333
|466.667
|11
|7
|1.571
|
|
|
|-
|
|
|
|
|8\13
|
|738.462
|461.538
|8
|5
|1.600
|Basic oneirotonic (5L 3s)
|
|
|-
|
|
|
|
|
|13\21
|742.857
|457.143
|13
|8
|1.625
|
|
|
|-
|
|
|
|5\8
|
|
|750.000
|450.000
|5
|3
|1.667
|
|
|
|-
|
|
|
|
|
|12\19
|757.895
|442.105
|12
|7
|1.714
|
|
|
|-
|
|
|
|
|7\11
|
|763.636
|436.364
|7
|4
|1.750
|Basic checkertonic (3L 5s)
|
|
|-
|
|
|
|
|
|9\14
|771.429
|428.571
|9
|5
|1.800
|
|
|
|-
|
|2\3
|
|
|
|
|800.000
|400.000
|2
|1
|2.000
|
|
|[[2L 1s]] and 1L 2s separate here.
|-
|
|
|
|
|
|9\13
|830.769
|369.231
|9
|4
|2.250
|
|Basic sephiroid (3L 7s)
|
|-
|
|
|
|
|7\10
|
|840.000
|360.000
|7
|3
|2.333
|Basic mosh (3L 4s)
|
|
|-
|
|
|
|
|
|12\17
|847.059
|352.941
|12
|5
|2.400
|
|Basic zaltertic (7L 3s)
|
|-
|
|
|
|5\7
|
|
|857.143
|342.857
|5
|2
|2.500
|
|
|
|-
|
|
|
|
|
|13\18
|866.667
|333.333
|13
|5
|2.600
|
|
|
|-
|
|
|
|
|8\11
|
|872.727
|327.273
|8
|3
|2.667
|Basic smitonic (4L 3s)
|
|
|-
|
|
|
|
|
|11\15
|880.000
|320.000
|11
|4
|2.750
|
|
|
|-
|
|
|3\4
|
|
|
|900.000
|300.000
|3
|1
|3.000
|
|
|
|-
|
|
|
|
|
|10\13
|923.077
|276.923
|10
|3
|3.333
|
|Basic gramitonic (4L 5s)
|
|-
|
|
|
|
|7\9
|
|933.333
|266.667
|7
|2
|3.500
|Basic manual (4L 1s)
|
|
|-
|
|
|
|
|
|11\14
|942.857
|257.143
|11
|3
|3.667
|
|Basic semiquartal (5L 4s)
|
|-
|
|
|
|4\5
|
|
|960.000
|240.000
|4
|1
|4.000
|
|
|
|-
|
|
|
|
|
|9\11
|981.818
|218.182
|9
|2
|4.500
|
|Basic machinoid (5L 1s)
|
|-
|
|
|
|
|5\6
|
|1000.000
|200.000
|5
|1
|5.000
|Basic pedal (1L 4s)
|
|
|-
|
|
|
|
|
|6\7
|1028.571
|171.429
|6
|1
|6.000
|
|Basic antimachinoid (1L 5s)
|
|-
|1\1
|
|
|
|
|
|1200.000
|0.000
|1
|0
|→ inf
|
|
|
|}
Retrieved from "https://en.xen.wiki/w/1L_1s"