4L 6s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS
| Name = antilemboid
| Periods = 2
| Periods = 2
| nLargeSteps = 4
| nLargeSteps = 4
| nSmallSteps = 6
| nSmallSteps = 6
| Equalized = 2
| Equalized = 2
| Paucitonic = 1
| Collapsed = 1
| Pattern = LsLssLsLss
| Pattern = LsLssLsLss
| Name = lime
}}
}}
{{MOS intro}}


This MOS repeats at the half-octave, which runs Lss Ls.
It is significant as the "pentatonic scale" of [[hemipythagorean]] tuning.


{| class="wikitable"
== Scale properties ==
|-
{{TAMNAMS use}}
| | 2\10
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| |
 
| |
=== Generator chain ===
| |
{{MOS genchain}}
| | 240
 
| style="text-align:center;" |
=== Modes ===
|-
{{MOS mode degrees}}
| |
 
| |
=== Proposed names ===
| |
[[Lyman Young]] has proposed names for the modes of 4L 6s, which are shown below. They can be found in [https://www.sliderulemuseum.com/Patents/US/2502300.pdf his patent for a quartertone slide rule].
| |
{{MOS modes
| |
| Mode Names =
| | 11\54
Atlantic $
| | 244.444
Lumian $
| style="text-align:center;" |
Pacific $
|-
Taliesin $
| |
Dresden $
| |
}}
| |
 
| |
== Scale tree ==
| | 9\44
{{MOS tuning spectrum
| |
| 6/5 = Semiseptiquarter ↑
| | 245.455
| 4/3 = Hemifourths/angirus
| style="text-align:center;" |
| 7/5 = Sruti
|-
| 10/7 = Semihemi, [[Hemipyth]] (249.0225{{c}})
| |
| 3/2 = Decimal is around here
| |
| 7/3 = Bamity
| |
| 9/2 = Doublewide
| | 7\34
| 6/1 = Bikleismic 
| |
}}
| |
 
| | 247.059
== Music ==
| style="text-align:center;" |
; [[User:2^67-1|Cole]]
|-
* [[Media:The Hymn of Pergele.mp3|''The Hymn of Pergele'']], a short piece in {{nowrap|[[Hemipyth]][10] 4{{!}}4(2)}} (Pacific mode of [[4L 6s]])
| |
 
| |
[[Category:lime| ]]
| |
[[Category:10-tone scales]]
| |
<!-- main article -->
| |
| | 31\150
| | 248
| |
|-
| |
| |
| |
| |
| | 12\58
| |
| | 248.276
| style="text-align:center;" |
|-
| |
| |
| | 5\24
| |
| |
| |
| | 250
| style="text-align:center;" | Decimal is around here
|-
| |
| |
| |
| |
| |
| |
| | 251.153
| |
|-
| |
| |
| |
| |
| | 13\62
| |
| | 251.613
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 21\100
| | 252
| style="text-align:center;" | Golden fair bicycle (?)
|-
| |
| |
| |
| | 8\38
| |
| |
| | 252.632
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 253.59
| |
|-
| |
| |
| |
| |
| | 11\52
| |
| | 253.846
| style="text-align:center;" |
|-
| |
| | 3\14
| |
| |
| |
| |
| | 257.143
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 13\60
| | 260
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 10\46
| |
| | 260.870
| style="text-align:center;" |
|-
| |
| |
| |
| | 7\32
| |
| |
| | 262.5
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 18\82
| | 263.415
| |
|-
| |
| |
| |
| |
| | 11\50
| |
| | 264
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 264.44
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
| |
| |
| | 4\18
| |
| |
| |
| | 266.667
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| | 267.683
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
| |
| |
| |
| |
| | 9\40
| |
| | 270
| style="text-align:center;" |
|-
| |
| |
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| | 5\22
| |
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| | 272.727
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| |
| | 11\48
| | 275
| style="text-align:center;" | Doublewide is around here
|-
| |
| |
| |
| |
| | 6\26
| |
| | 276.923
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 7\30
| | 280
| style="text-align:center;" |
|-
| | 1\4
| |  
| |  
| |
| |
| |
| | 300
| style="text-align:center;" |
|}