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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 [[improper]] (incomplete) versions of [[Porcupine family|porcupine]], [[Marvel temperaments#Negri|negri]], etc.
{{Infobox MOS
| Periods = 1
| nLargeSteps = 1
| nSmallSteps = 4
| Equalized = 4
| Collapsed = 1
| Pattern = Lssss
| Name = pedal
}}


{| class="wikitable center-9 center-12"
{{MOS intro}}
 
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}}
 
== Scale tree ==
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)
 
{| class="wikitable center-all"
! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span>
! Cents
! L
! s
! L/s
! Comments
|-
|-
! colspan="8" | Generator
| 1\5 || || || || || || 240.000 || 1 || 1 || 1.000 ||
! Generator (s)
|-
! L-s
| || || || || || 5\26 || 230.769 || 6 || 5 || 1.200 ||
! <nowiki> |L-2s|</nowiki>
|-
! Comments
| || || || || 4\21 || || 228.571 || 5 || 4 || 1.250 || [[Laconic]]/[[gorgo]]
|-
|-
| 0\1
| || || || || || 7\37 || 227.027 || 9 || 7 || 1.286 || [[Semaja]]
|
|
|
|
|
|
|
|
|
|
|
|-
|-
|
| || || || 3\16 || || || 225.000 || 4 || 3 || 1.333 ||  
|
|
|
|
|
|
| 1\12
| 100
| 700
| 600
|
|-
|-
|
| || || || || || 8\43 || 223.256 || 11 || 8 || 1.375 ||  
|
|
|
|
|
| 1\11
|
| 109.09
| 654.545
| 545.455
|
|-
|-
|
| || || || || 5\27 || || 222.222 || 7 || 5 || 1.400 ||  
|
|
|
|
| 1\10
|
|
| 120
| 600
| 480
|
|-
|-
|
| || || || || || 7\38 || 221.053 || 10 || 7 || 1.429 ||  
|
|
|
|
|
| 2\19
|
| 126.32
| 568.42
| 442.11
| Negri is around here
|-
|-
|
| || || 2\11 || || || || 218.182 || 3 || 2 || 1.500 ||  
|
|
|
| 1\9
|
|
|
| 133.33
| 533.33
| 400
|
|-
|-
|
| || || || || || 7\39 || 215.385 || 11 || 7 || 1.571 ||  
|
|
| 1\8
|
|
|
|
| 150
| 450
| 300
| L/s = 4
|-
|-
|  
| || || || || 5\28 || || 214.286 || 8 || 5 || 1.600 ||  
|  
|  
|  
| 2\15
|  
|  
|  
| 160
| 400
| 240
|
|-
|-
|  
| || || || || || 8\45 || 213.333 || 13 || 8 || 1.625 || Golden [[machine]] (213.5979¢)
|  
|  
|  
|  
| 3\22
|  
|  
| 163.64
| 381.82
| 218.18
| Porcupine is around here
|-
|-
|  
| || || || 3\17 || || || 211.765 || 5 || 3 || 1.667 ||  
|  
|  
|  
|  
|  
|  
|  
| 1200/(4+pi)
| 359.85
| 191.82
|  
|-
|-
|  
| || || || || || 7\40 || 210.000 || 12 || 7 || 1.714 ||  
|  
| 1\7
|  
|  
|  
|  
|  
| 171.43
| 342.86
| 171.43
| L/s = 3
|-
|-
|  
| || || || || 4\23 || || 208.696 || 7 || 4 || 1.750 ||  
|  
|  
|  
|  
|  
|  
|  
| 1200/(4+e)
| 306.915
| 128.3
|  
|-
|-
|  
| || || || || || 5\29 || 206.897 || 9 || 5 || 1.800 ||  
|  
|  
|  
| 3\20
|  
|  
|  
| 180
| 300
| 120
|  
|-
|-
|  
| || 1\6 || || || || || 200.000 || 2 || 1 || 2.000 || Basic 1L 4s <br>(small steps larger than this are proper)
|  
|  
|  
|  
|  
|  
|  
| 1200/(5+phi)
| 293.386
| 112.064
|  
|-
|-
|  
| || || || || || 4\25 || 192.000 || 9 || 4 || 2.250 || [[Luna]]/[[hemithirds]], [[Isra]]/[[leantone]]
|  
|  
| 2\13
|  
|  
|  
|  
| 184.615
| 276.92
| 92.31
|  
|-
|-
|  
| || || || || 3\19 || || 189.474 || 7 || 3 || 2.333 || [[Spell]]
| 1\6
|  
|  
|  
|  
|  
|  
| 200
| 200
| 0
| Boundary of propriety (generators <br> larger than this are [[strictly proper]])
|-
|-
|  
| || || || || || 5\32 || 187.500 || 12 || 5 || 2.400 ||  
|  
|  
|  
|  
|  
|  
|  
| 1200/(4+sqrt(3))
| 153.25
| 56.095
|  
|-
|-
|  
| || || || 2\13 || || || 184.615 || 5 || 2 || 2.500 ||  
|  
|  
| 3\17
|  
|  
|  
|  
| 211.76
| 141.18
| 70.59
|  
|-
|-
|  
| || || || || || 5\33 || 181.818 || 13 || 5 || 2.600 || Wilson Golden 2 (181.3227¢)
|  
|  
|  
|  
| 8\45
|  
|  
| 213.33
| 133.33
| 80
|  
|-
|-
|  
| || || || || 3\20 || || 180.000 || 8 || 3 || 2.667 ||  
|  
|  
|  
|  
|  
|  
|  
| 1200/(4+phi)
| 132.01
| 81.59
| Golden machine
|-
|-
|  
| || || || || || 4\27 || 177.778 || 11 || 4 || 2.750 ||  
|  
|  
|  
|  
|  
| 13\73
|  
| 213.70
| 131.51
| 82.19
|  
|-
|-
|  
| || || 1\7 || || || || 171.429 || 3 || 1 || 3.000 ||  
|  
|  
|  
| 5\28
|  
|  
|  
| 214.29
| 128.57
| 85.71
|  
|-
|-
|  
| || || || || || 3\22 || 163.636 || 10 || 3 || 3.333 || [[Porcupine]]
|  
|  
|  
|  
|  
|  
|  
| 1200/(8+pi)
| 122.955
| 92.45
|  
|-
|-
|  
| || || || || 2\15 || || 160.000 || 7 || 2 || 3.500 ||  
|  
| 2\11
|  
|  
|  
|  
|  
| 218.18
| 109.09
| 109.09
| Optimum rank range (L/s=3/2) machine
|-
|-
|  
| || || || || || 3\23 || 156.522 || 11 || 3 || 3.667 ||  
|  
|  
| 3\16
|  
|  
|  
|  
| 225
| 75
| 150
| Gorgo is around here
|-
|-
|  
| || || || 1\8 || || || 150.000 || 4 || 1 || 4.000 ||  
|  
|  
|  
| 4\21
|  
|  
|  
| 228.57
| 57.14
| 171.43
|  
|-
|-
|  
| || || || || || 2\17 || 141.176 || 9 || 2 || 4.500 || [[Bleu]]/[[jerome]]
|  
|  
|  
|  
| 5\26
|  
|  
| 230.77
| 46.15
| 184.62
|  
|-
|-
|  
| || || || || 1\9 || || 133.333 || 5 || 1 || 5.000 ||  
|  
|  
|  
|  
|  
| 6\31
|  
| 232.26
| 38.71
| 193.55
|  
|-
|-
|  
| || || || || || 1\10 || 120.000 || 6 || 1 || 6.000 || [[Negri]]
|  
|  
|  
|  
|  
|  
| 7\36
| 233.33
| 33.33
| 200
| Slendric is around here
|-
|-
| 1\5
| 0\1 || || || || || || 0.000 || 1 || 0 || → inf ||  
|  
|  
|  
|  
|  
|  
|  
| 240
| 0
| 240
|
|}
|}
[[Category:5-tone scales]]
Retrieved from "https://en.xen.wiki/w/1L_4s"