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 [[improper]] (incomplete) versions of [[Porcupine family|porcupine]], [[Marvel temperaments#Negri|negri]], etc.
{{Infobox MOS
| Periods = 1
| nLargeSteps = 1
| nSmallSteps = 4
| Equalized = 1
| Paucitonic = 0
| Pattern = Lssss
}}
 
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.
 
== 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)


{| class="wikitable center-9 center-12"
{| class="wikitable center-9 center-12"
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[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:5-tone scales]]

Revision as of 03:55, 18 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 ¢)

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)
Generator Generator (s) 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 L/s = 4
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 L/s = 3
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 (generators
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 (L/s=3/2) 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