1L 4s: Difference between revisions

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Line 3: Line 3:
| nLargeSteps = 1
| nLargeSteps = 1
| nSmallSteps = 4
| nSmallSteps = 4
| Equalized = 1
| Equalized = 4
| Paucitonic = 0
| Paucitonic = 1
| Pattern = Lssss
| Pattern = Lssss
}}
}}
'''1L 4s''' is the MOS pattern Lssss with small steps ranging from 0\1 (0¢) to 1\5 (one step of [[5edo]] = 240¢).


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.
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.
Line 24: Line 26:
{| class="wikitable center-9 center-12"
{| class="wikitable center-9 center-12"
|-
|-
! colspan="8" | Generator
! colspan="8" | Small step <br><span style="font-size:0.85em">(Chroma-negative generator)</span>
! Generator (s)
! Cents
! L-s
! L-s
! <nowiki> |L-2s|</nowiki>
! <nowiki> |L-2s|</nowiki>
Line 93: Line 95:
| 568.42
| 568.42
| 442.11
| 442.11
| Negri is around here
| [[Negri]] is around here
|-
|-
|
|
Line 119: Line 121:
| 450
| 450
| 300
| 300
| L/s = 4
|  
|-
|-
|  
|  
Line 145: Line 147:
| 381.82
| 381.82
| 218.18
| 218.18
| Porcupine is around here
| [[Porcupine]] is around here
|-
|-
|  
|  
Line 171: Line 173:
| 342.86
| 342.86
| 171.43
| 171.43
| L/s = 3
|  
|-
|-
|  
|  
Line 236: Line 238:
| 200
| 200
| 0
| 0
| Boundary of propriety (generators <br> larger than this are [[strictly proper]])
| Boundary of propriety (small steps <br>larger than this are [[strictly proper]])
|-
|-
|  
|  
Line 340: Line 342:
| 109.09
| 109.09
| 109.09
| 109.09
| Optimum rank range (L/s=3/2) machine
| Optimum rank range of machine
|-
|-
|  
|  
Line 353: Line 355:
| 75
| 75
| 150
| 150
| Gorgo is around here
| [[Gorgo]] is around here
|-
|-
|  
|  
Line 405: Line 407:
| 33.33
| 33.33
| 200
| 200
| Slendric is around here
| [[Slendric]] is around here
|-
|-
| 1\5
| 1\5

Revision as of 00:48, 20 February 2022

↑ 1L 3s 2L 3s ↗
1L 4s 2L 4s →
↓ 1L 5s 2L 5s ↘
Scale structure
Step pattern Lssss
ssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 4\5 to 1\1 (960.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\5 (0.0 ¢ to 240.0 ¢)
Related MOS scales
Parent 1L 3s
Sister 4L 1s
Daughters 5L 1s, 1L 5s
Neutralized 2L 3s
2-Flought 6L 4s, 1L 9s
Equal tunings
Equalized (L:s = 1:1) 4\5 (960.0 ¢)
Supersoft (L:s = 4:3) 13\16 (975.0 ¢)
Soft (L:s = 3:2) 9\11 (981.8 ¢)
Semisoft (L:s = 5:3) 14\17 (988.2 ¢)
Basic (L:s = 2:1) 5\6 (1000.0 ¢)
Semihard (L:s = 5:2) 11\13 (1015.4 ¢)
Hard (L:s = 3:1) 6\7 (1028.6 ¢)
Superhard (L:s = 4:1) 7\8 (1050.0 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)
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1L 4s is the MOS pattern Lssss with small steps ranging from 0\1 (0¢) to 1\5 (one step of 5edo = 240¢).

The only notable low-harmonic-entropy scale for this MOS pattern is 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, negri, etc.

Modes

  • 4|0 Lssss
  • 3|1 sLsss
  • 2|2 ssLss
  • 1|3 sssLs
  • 0|4 ssssL

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)
Small step
(Chroma-negative generator) 		Cents L-s |L-2s| Comments
0\1
1\12 100 700 600
1\11 109.09 654.545 545.455
1\10 120 600 480
2\19 126.32 568.42 442.11 Negri is around here
1\9 133.33 533.33 400
1\8 150 450 300
2\15 160 400 240
3\22 163.64 381.82 218.18 Porcupine is around here
1200/(4+pi) 359.85 191.82
1\7 171.43 342.86 171.43
1200/(4+e) 306.915 128.3
3\20 180 300 120
1200/(5+phi) 293.386 112.064
2\13 184.615 276.92 92.31
1\6 200 200 0 Boundary of propriety (small steps
larger than this are strictly proper)
1200/(4+sqrt(3)) 153.25 56.095
3\17 211.76 141.18 70.59
8\45 213.33 133.33 80
1200/(4+phi) 132.01 81.59 Golden machine
13\73 213.70 131.51 82.19
5\28 214.29 128.57 85.71
1200/(8+pi) 122.955 92.45
2\11 218.18 109.09 109.09 Optimum rank range of machine
3\16 225 75 150 Gorgo is around here
4\21 228.57 57.14 171.43
5\26 230.77 46.15 184.62
6\31 232.26 38.71 193.55
7\36 233.33 33.33 200 Slendric is around here
1\5 240 0 240
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