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1L 1s: Difference between revisions

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Multi-MOSes do not descend from this MOS, so it is only the root of strict MOSes
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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|0</nowiki>
|0
|0 (perfect)
|L (major)
|L+s (perfect)
|-
|sL
|<nowiki>0|1</nowiki>
|<nowiki>1L 1s 0|1</nowiki>
|1
|0 (perfect)
|s (minor)
|L+s (perfect)
|}


== Properties ==
== Properties ==
Line 50: Line 30:
== Scale tree ==
== Scale tree ==
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.
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
! colspan="6" |Generator
| 5/4 = [[2L&nbsp;5s]] range (includes [[2L&nbsp;7s]] and [[7L&nbsp;2s]])
!Bright gen.
| 7/5 = [[5L&nbsp;2s]] range (includes [[7L&nbsp;5s]] and [[5L&nbsp;7s]])
!Dark gen.
| 8/5 = [[5L&nbsp;3s]] range
!L
| 7/4 = [[3L&nbsp;5s]] range
!s
| 7/3 = [[3L&nbsp;4s]] range (includes [[3L&nbsp;7s]] and [[7L&nbsp;3s]])
!L/s
| 8/3 = [[4L&nbsp;3s]] range (includes [[7L&nbsp;4s]] and [[4L&nbsp;7s]])
!Ranges of mosses
| 7/2 = [[4L&nbsp;1s]] range (includes [[4L&nbsp;5s]] and [[5L&nbsp;4s]])
|-
| 5/1 = [[1L&nbsp;4s]] range (includes [[5L&nbsp;1s]] and [[1L&nbsp;5s]])
|1\2
}}
|
|
|
|
|
|600.000
|600.000
|1
|1
|1.000
|
|-
|
|
|
|
|
|6\11
|654.545
|545.455
|6
|5
|1.200
| rowspan="3" |[[2L 5s]] range (includes [[2L 7s]] and [[7L 2s]])
|-
|
|
|
|
|5\9
|
|666.667
|533.333
|5
|4
|1.250
|-
|
|
|
|
|
|9\16
|675.000
|525.000
|9
|7
|1.286
|-
|
|
|
|4\7
|
|
|685.714
|514.286
|4
|3
|1.333
|Basic [[2L 3s]]
|-
|
|
|
|
|
|11\19
|694.737
|505.263
|11
|8
|1.375
| rowspan="3" |[[5L 2s]] range (includes [[7L 5s]] and [[5L 7s]])
|-
|
|
|
|
|7\12
|
|700.000
|500.000
|7
|5
|1.400
|-
|
|
|
|
|
|10\17
|705.882
|494.118
|10
|7
|1.429
|-
|
|
|3\5
|
|
|
|720.000
|480.000
|3
|2
|1.500
|Basic [[2L 1s]]
|-
|
|
|
|
|
|11\18
|733.333
|466.667
|11
|7
|1.571
| rowspan="3" |[[5L 3s]] range
|-
|
|
|
|
|8\13
|
|738.462
|461.538
|8
|5
|1.600
|-
|
|
|
|
|
|13\21
|742.857
|457.143
|13
|8
|1.625
|-
|
|
|
|5\8
|
|
|750.000
|450.000
|5
|3
|1.667
|Basic [[3L 2s]]
|-
|
|
|
|
|
|12\19
|757.895
|442.105
|12
|7
|1.714
| rowspan="3" |[[3L 5s]] range
|-
|
|
|
|
|7\11
|
|763.636
|436.364
|7
|4
|1.750
|-
|
|
|
|
|
|9\14
|771.429
|428.571
|9
|5
|1.800
|-
|
|2\3
|
|
|
|
|800.000
|400.000
|2
|1
|2.000
|Basic 1L 1s (dividing line between 2L 1s and 1L 2s)
|-
|
|
|
|
|
|9\13
|830.769
|369.231
|9
|4
|2.250
| rowspan="3" |[[3L 4s]] range (includes [[3L 7s]] and [[7L 3s]])
|-
|
|
|
|
|7\10
|
|840.000
|360.000
|7
|3
|2.333
|-
|
|
|
|
|
|12\17
|847.059
|352.941
|12
|5
|2.400
|-
|
|
|
|5\7
|
|
|857.143
|342.857
|5
|2
|2.500
|Basic [[3L 1s]]
|-
|
|
|
|
|
|13\18
|866.667
|333.333
|13
|5
|2.600
| rowspan="3" |[[4L 3s]] range (includes [[7L 4s]] and [[4L 7s]])
|-
|
|
|
|
|8\11
|
|872.727
|327.273
|8
|3
|2.667
|-
|
|
|
|
|
|11\15
|880.000
|320.000
|11
|4
|2.750
|-
|
|
|3\4
|
|
|
|900.000
|300.000
|3
|1
|3.000
|Basic [[1L 2s]]
|-
|
|
|
|
|
|10\13
|923.077
|276.923
|10
|3
|3.333
| rowspan="3" |Range of [[4L 1s]] (includes [[4L 5s]] and [[5L 4s]])
|-
|
|
|
|
|7\9
|
|933.333
|266.667
|7
|2
|3.500
|-
|
|
|
|
|
|11\14
|942.857
|257.143
|11
|3
|3.667
|-
|
|
|
|4\5
|
|
|960.000
|240.000
|4
|1
|4.000
|Basic [[1L 3s]]
|-
|
|
|
|
|
|9\11
|981.818
|218.182
|9
|2
|4.500
| rowspan="3" |Range of [[1L 4s]] (includes [[5L 1s]] and [[1L 5s]])
|-
|
|
|
|
|5\6
|
|1000.000
|200.000
|5
|1
|5.000
|-
|
|
|
|
|
|6\7
|1028.571
|171.429
|6
|1
|6.000
|-
|1\1
|
|
|
|
|
|1200.000
|0.000
|1
|0
|→ inf
|
|}
Retrieved from "https://en.xen.wiki/w/1L_1s"