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1L 4s: Difference between revisions

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The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[Gamelismic_clan|slendric or gamelismic]], in which the generator is 8/7 and three of them make a 3/2. Other scales include very [[Rothenberg_propriety|improper]] (incomplete) versions of [[Porcupine_family|porcupine]], [[Marvel_temperaments|negri]], etc.
{{Infobox MOS
| Periods = 1
| nLargeSteps = 1
| nSmallSteps = 4
| Equalized = 4
| Collapsed = 1
| Pattern = Lssss
| Name = pedal
}}


{| class="wikitable"
{{MOS intro}}
|-
! colspan="8" | Generator
! | Generator (s)
! | L-s
! |<nowiki> |L-2s|</nowiki>
! | Comments
|-
| | 0\1
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" |
| |
| |
| style="text-align:center;" |
|-
|
|
|
|
|
|
|
|1\12
|100
|700
|600
|
|-
|
|
|
|
|
|
|1\11
|
|109.09
|654.545
|545.455
|
|-
| |
| |
| |
| |
| |
| | 1\10
| |
| |
| style="text-align:center;" | 120
| | 600
| | 480
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 2\19
| |
| style="text-align:center;" | 126.32
| | 568.42
| | 442.11
| style="text-align:center;" | Negri is around here
|-
| |
| |
| |
| |
| | 1\9
| |
| |
| |
| style="text-align:center;" | 133.33
| | 533.33
| | 400
| style="text-align:center;" |
|-
| |
| |
| |
| | 1\8
| |
| |
| |
| |
| style="text-align:center;" | 150
| | 450
| | 300
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| | 2\15
| |
| |
| |
| style="text-align:center;" | 160
| | 400
| | 240
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 3\22
| |
| |
| style="text-align:center;" | 163.64
| | 381.82
| | 218.18
| style="text-align:center;" | Porcupine is around here
|-
| |
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | 1200/(4+pi)
| | 359.85
| | 191.82
| |
|-
| |
| |
| | 1\7
| |
| |
| |
| |
| |
| style="text-align:center;" | 171.43
| | 342.86
| | 171.43
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">1200/(4+e)</span>
| | 306.915
| | 128.3
| |
|-
| |
| |
| |
| |
| | 3\20
| |
| |
| |
| style="text-align:center;" | 180
| | 300
| | 120
| |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">1200/(5+phi)</span>
| | 293.386
| | 112.064
| |
|-
| |
| |
| |
| | 2\13
| |
| |
| |
| |
| style="text-align:center;" | 184.615
| | 276.92
| | 92.31
| |
|-
| |
| | 1\6
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | 200
| | 200
| | 0
| style="text-align:center;" | Boundary of propriety (generators


larger than this are strictly proper)
The only notable low-[[harmonic entropy|harmonic-entropy]] scale for this [[MOS]] pattern is [[Gamelismic clan|slendric or gamelismic]], in which the [[generator]] is [[8/7]] and three of them make a [[3/2]]. Other scales include very [[improper]] (incomplete) versions of [[Porcupine family|porcupine]], [[Marvel temperaments #Negri|negri]], etc.
|-
 
| |
== Modes ==
| |
{{MOS modes}}
| |
 
| |
=== Degrees ===
| |
{{MOS mode degrees}}
| |
 
| |
== Intervals ==
| |
{{MOS intervals}}
| style="text-align:center;" | 1200/(4+sqrt(3))
 
| | 153.25
== Scale tree ==
| | 56.095
Generator ranges:  
| |
* Chroma-positive generator: 960 cents (4\5) to 1200 cents (1\1)
|-
* Chroma-negative generator: 0 cents (0\1) to 240 cents (1\5)
| |
 
| |
{{MOS tuning spectrum
| |
|5/4=Laconic/Gorgo|9/7=Semaja|13/8=Golden machine (213.5979¢)
| | 3\17
|9/4=Luna/Hemithirds, Isra/Leantone
| |
|7/3=Spell
| |
|13/5=Wilson Golden 2 (181.3227¢)
| |
|10/3=Porcupine
| |
|9/2=Bleu/Jerome
| style="text-align:center;" | 211.76
|6/1=Negri}}
| | 141.18
 
| | 70.59
[[Category:5-tone scales]]
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 8\45
| |
| |
| style="text-align:center;" | 213.33
| | 133.33
| | 80
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | 1200/(4+phi)
| | 132.01
| | 81.59
| style="text-align:center;" | Golden machine
|-
| |
| |
| |
| |
| |
| |
| | 13\73
| |
| style="text-align:center;" | 213.70
| | 131.51
| | 82.19
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 5\28
| |
| |
| |
| style="text-align:center;" | 214.29
| | 128.57
| | 85.71
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">1200/(8+pi)</span>
| | 122.955
| | 92.45
| |
|-
| |
| |
| | 2\11
| |
| |
| |
| |
| |
| style="text-align:center;" | 218.18
| | 109.09
| | 109.09
| style="text-align:center;" | Optimum rank range (L/s=3/2) machine
|-
| |
| |
| |
| | 3\16
| |
| |
| |
| |
| style="text-align:center;" | 225
| | 75
| | 150
| style="text-align:center;" | Gorgo is around here
|-
| |
| |
| |
| |
| | 4\21
| |
| |
| |
| style="text-align:center;" | 228.57
| | 57.14
| | 171.43
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 5\26
| |
| |
| style="text-align:center;" | 230.77
| | 46.15
| | 184.62
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 6\31
| |
| style="text-align:center;" | 232.26
| | 38.71
| | 193.55
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| | 7\36
| style="text-align:center;" | 233.33
| | 33.33
| | 200
| style="text-align:center;" | Slendric is around here
|-
| | 1\5
| |
| |
| |
| |
| |
| |
| |
| style="text-align:center;" | 240
| | 0
| | 240
| style="text-align:center;" |
|}
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