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3L 2s: Difference between revisions

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| nSmallSteps = 2
| nSmallSteps = 2
| Equalized = 3
| Equalized = 3
| Paucitonic = 2
| Collapsed = 2
| Pattern = LLsLs
| Pattern = LLsLs
}}
}}


The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[Sensipent_family|sensi]], in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.
: ''For the 3/2-equivalent 3L 2s pattern, see [[3L 2s (fifth-equivalent)]].''


== Names ==
{{MOS intro}}
The TAMNAMS system suggests the name '''antipentic''', in opposition to [[pentic]] used for 2L 3s.
 
The only notable low-[[harmonic entropy|harmonic-entropy]] scale for this [[MOSScales|MOS]] pattern is [[Sensipent_family|sensi]], in which two generators make a [[5/3]]. The harmonic entropy of sensi[5] is still fairly high relative to other [[pentatonic]] scales, such as [[meantone]][5]. It's also [[improper]].
 
== Name ==
The TAMNAMS system applies the name ''antipentic'' as the scale utilizes opposite step sizes to the “classic” pentatonic scale ([[2L 3s]]). The name ''antipentic'' can be used regardless of the equave.
 
== Intervals ==
{{MOS intervals}}


== Modes ==
== Modes ==
* 4|0 LLsLs
{{MOS mode degrees}}
* 3|1 LsLLs
* 2|2 LsLsL
* 1|3 sLLsL
* 0|4 sLsLL


== Scale tree ==
== Scale tree ==
Generator ranges:  
Generator ranges:  
* Chroma-positive generator: 720 cents (3\5) to 800 cents (2\3)
* Chroma-positive generator: 720{{c}} (3\5) to 800{{c}} (2\3)
* Chroma-negative generator: 400 cents (1\3) to 480 cents (2\5)
* Chroma-negative generator: 400{{c}} (1\3) to 480{{c}} (2\5)
 
{{MOS tuning spectrum
{| class="wikitable"
| 11/8 = [[Semisept]]
|-
| 13/8 = Golden [[father]]/[[petritri]]/[[aurora]] (741.6408{{c}})
! colspan="7" | Generator
| | 12/5 = [[Sensi]]
! | Cents
13/5 = Golden [[sentry]] (759.4078{{c}})
! | s
| 9/2 = [[Squares]]/[[skwares]]
! | L-s
}}
! | Comments
|-
| | 1\3
| |
| |
| |
| |
| |
| |
| | 400
| | 0
| | 400
| style="text-align:center;" |
|-
|
|
|
|
|
|
|8\23
|417.39
|52.18
|365.21
|8ed(14/11) is near here
|-
|
|
|
|
|
|7\20
|
|420
|60
|300
|
|-
| |
| |
| |
| |
| | 6\17
| |
| |
| | 423.53
| | 70.59
| | 282.35
| style="text-align:center;" | [[Skwares|Skwares]] is around here
|-
| |
| |
| |
| |
| |
| |
| | 17\48
| | 425
| | 75
| | 275
| style="text-align:center;" | [[Squares|Squares]] is around here
|-
| |
| |
| |
| |
| |
| | 11\31
| |
| | 425.81
| | 77.42
| | 270.97
| style="text-align:center;" |
|-
| |
| |
| |
| | 5\14
| |
| |
| |
| | 428.57
| | 85.71
| | 257.14
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| |
| |
| |
| | 435.01
| | 105.035
| | 224.91
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi, essentially perfect 9/7</span>
|-
| |
| |
| | 4\11
| |
| |
| |
| |
| | 436.36
| | 109.09
| | 218.18
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| |
| | 439.39
| | 118.17
| | 203.05
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
| |
| |
| |
| |
| | 11/30
| |
| |
| | 440
| | 120
| | 200
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 440.59
| | 121.78
| | 197.04
| |
|-
| |
| |
| |
| | 7/19
| |
| |
| |
| | 442.11
| | 126.32
| | 189.47
| style="text-align:center;" | [[Sensi|Sensi]] is around here
|-
| |
| | 3\8
| |
| |
| |
| |
| |
| | 450
| | 150
| | 150
| style="text-align:center;" | Boundary of propriety (larger
 
generators than this are proper)
|-
| |
| |
| |
| |
| |
| |
| |
| | 455.59
| | 166.76
| | 122.07
| |
|-
| |
| |
| |
| | 8\21
| |
| |
| |
| | 457.14
| | 171.43
| | 114.29
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 21\55
| |
| | 458.18
| | 174.55
| | 109.09
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| | 1200/(1+phi)
| | 175.08
| | 108.20
| style="text-align:center;" | Golden [[petrtri]]
|-
| |
| |
| |
| |
| | 13\34
| |
| |
| | 458.82
| | 176.47
| | 105.88
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| | 459.59
| | 178.77
| | 102.04
| |
|-
| |
| |
| | 5\13
| |
| |
| |
| |
| | 461.54
| | 184.62
| | 92.31
| style="text-align:center;" | Optimum rank range (L/s=3/2) [[oneirotonic]][5]
|-
| |
| |
| |
| | 7\18
| |
| |
| |
| | 466.67
| | 200
| | 66.67
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 9\23
| |
| |
| | 469.57
| | 208.70
| | 52.17
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 11\28
| |
| | 471.43
| | 214.29
| | 42.86
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 13\33
| | 472.73
| | 218.18
| | 36.36
| style="text-align:center;" | Slendro-like scales in this region
|-
| | 2\5
| |
| |
| |
| |
| |
| |
| | 480
| | 240
| | 0
| style="text-align:center;" |
|}


[[Category:Antipentic]]
[[Category:Antipentic]]
[[Category:Abstract MOS patterns]]
[[Category:5-tone scales]]
[[Category:5-tone scales]]
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