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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.
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.


{| class="wikitable"
{| class="wikitable center-9 center-12"
|-
|-
! colspan="8" | Generator
! colspan="8" | Generator
! | Generator (s)
! Generator (s)
! | L-s
! L-s
! |<nowiki> |L-2s|</nowiki>
! <nowiki> |L-2s|</nowiki>
! | Comments
! Comments
|-
|-
| | 0\1
| 0\1
| |  
|
| |  
|
| |  
|
| |  
|
| |  
|
| |  
|
| |  
|
| style="text-align:center;" |  
|
| |  
|
| |  
|
| style="text-align:center;" |  
|
|-
|-
|
|
Line 29: Line 29:
|
|
|
|
|1\12
| 1\12
|100
| 100
|700
| 700
|600
| 600
|
|
|-
|-
Line 41: Line 41:
|
|
|
|
|1\11
| 1\11
|
|
|109.09
| 109.09
|654.545
| 654.545
|545.455
| 545.455
|
|
|-
|-
| |  
|
| |  
|
| |  
|
| |  
|
| |  
|
| | 1\10
| 1\10
| |  
|
| |  
|
| style="text-align:center;" | 120
| 120
| | 600
| 600
| | 480
| 480
| style="text-align:center;" |  
|
|-
|-
| |  
|
| |  
|
| |  
|
| |  
|
| |  
|
| |  
|
| | 2\19
| 2\19
| |  
|
| style="text-align:center;" | 126.32
| 126.32
| | 568.42
| 568.42
| | 442.11
| 442.11
| style="text-align:center;" | Negri is around here
| Negri is around here
|-
|-
| |  
|
| |  
|
| |  
|
| |  
|
| | 1\9
| 1\9
| |  
|
| |  
|
| |  
|
| style="text-align:center;" | 133.33
| 133.33
| | 533.33
| 533.33
| | 400
| 400
| style="text-align:center;" |  
|
|-
|-
| |  
|
| |  
|
| |  
|
| | 1\8
| 1\8
| |  
|
| |  
|
| |  
|
| |  
|
| style="text-align:center;" | 150
| 150
| | 450
| 450
| | 300
| 300
| style="text-align:center;" | L/s = 4
| L/s = 4
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 2\15
| 2\15
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 160
| 160
| | 400
| 400
| | 240
| 240
| style="text-align:center;" |  
|
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 3\22
| 3\22
| |  
|  
| |  
|  
| style="text-align:center;" | 163.64
| 163.64
| | 381.82
| 381.82
| | 218.18
| 218.18
| style="text-align:center;" | Porcupine is around here
| Porcupine is around here
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 1200/(4+pi)
| 1200/(4+pi)
| | 359.85
| 359.85
| | 191.82
| 191.82
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 1\7
| 1\7
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 171.43
| 171.43
| | 342.86
| 342.86
| | 171.43
| 171.43
| style="text-align:center;" | L/s = 3
| L/s = 3
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | <span style="display: block; text-align: center;">1200/(4+e)</span>
| 1200/(4+e)
| | 306.915
| 306.915
| | 128.3
| 128.3
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 3\20
| 3\20
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 180
| 180
| | 300
| 300
| | 120
| 120
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | <span style="display: block; text-align: center;">1200/(5+phi)</span>
| 1200/(5+phi)
| | 293.386
| 293.386
| | 112.064
| 112.064
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 2\13
| 2\13
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 184.615
| 184.615
| | 276.92
| 276.92
| | 92.31
| 92.31
| |  
|  
|-
|-
| |  
|  
| | 1\6
| 1\6
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 200
| 200
| | 200
| 200
| | 0
| 0
| style="text-align:center;" | Boundary of propriety (generators
| Boundary of propriety (generators <br> larger than this are [[strictly proper]])
 
larger than this are strictly proper)
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 1200/(4+sqrt(3))
| 1200/(4+sqrt(3))
| | 153.25
| 153.25
| | 56.095
| 56.095
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 3\17
| 3\17
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 211.76
| 211.76
| | 141.18
| 141.18
| | 70.59
| 70.59
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 8\45
| 8\45
| |  
|  
| |  
|  
| style="text-align:center;" | 213.33
| 213.33
| | 133.33
| 133.33
| | 80
| 80
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 1200/(4+phi)
| 1200/(4+phi)
| | 132.01
| 132.01
| | 81.59
| 81.59
| style="text-align:center;" | Golden machine
| Golden machine
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13\73
| 13\73
| |  
|  
| style="text-align:center;" | 213.70
| 213.70
| | 131.51
| 131.51
| | 82.19
| 82.19
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5\28
| 5\28
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 214.29
| 214.29
| | 128.57
| 128.57
| | 85.71
| 85.71
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | <span style="display: block; text-align: center;">1200/(8+pi)</span>
| 1200/(8+pi)
| | 122.955
| 122.955
| | 92.45
| 92.45
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 2\11
| 2\11
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 218.18
| 218.18
| | 109.09
| 109.09
| | 109.09
| 109.09
| style="text-align:center;" | Optimum rank range (L/s=3/2) machine
| Optimum rank range (L/s=3/2) machine
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 3\16
| 3\16
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 225
| 225
| | 75
| 75
| | 150
| 150
| style="text-align:center;" | Gorgo is around here
| Gorgo is around here
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 4\21
| 4\21
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 228.57
| 228.57
| | 57.14
| 57.14
| | 171.43
| 171.43
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5\26
| 5\26
| |  
|  
| |  
|  
| style="text-align:center;" | 230.77
| 230.77
| | 46.15
| 46.15
| | 184.62
| 184.62
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 6\31
| 6\31
| |  
|  
| style="text-align:center;" | 232.26
| 232.26
| | 38.71
| 38.71
| | 193.55
| 193.55
| style="text-align:center;" |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7\36
| 7\36
| style="text-align:center;" | 233.33
| 233.33
| | 33.33
| 33.33
| | 200
| 200
| style="text-align:center;" | Slendric is around here
| Slendric is around here
|-
|-
| | 1\5
| 1\5
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| style="text-align:center;" | 240
| 240
| | 0
| 0
| | 240
| 240
| style="text-align:center;" |  
|
|}
|}
Retrieved from "https://en.xen.wiki/w/1L_4s"