1L 1s: Difference between revisions

Ganaram inukshuk (talk | contribs)
m Corrected link
Ganaram inukshuk (talk | contribs)
Added scale tree, not error-checked
Line 47: Line 47:


Stacking a generating interval, or one of its two sizes of mossteps, just once produces this mos's daughter mosses of 2L 1s and 1L 2s.
Stacking a generating interval, or one of its two sizes of mossteps, just once produces this mos's daughter mosses of 2L 1s and 1L 2s.
== 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.
{| class="wikitable"
|+
! colspan="6" |Generator
!Bright gen.
!Dark gen.
!L
!s
!L/s
! colspan="2" |Selected basic mosses
|-
|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
|
|
|-
|
|
|
|
|
|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
|
|
|}