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4L 6s: Difference between revisions

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This MOS repeats at the half-octave, which runs Lss Ls.
{{Infobox MOS
| Periods = 2
| nLargeSteps = 4
| nSmallSteps = 6
| Equalized = 2
| Collapsed = 1
| Pattern = LsLssLsLss
| Name = lime
}}
{{MOS intro}}


{| class="wikitable"
It is significant as the "pentatonic scale" of [[hemipythagorean]] tuning.
|-
 
| | 2\10
== Scale properties ==
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{{TAMNAMS use}}
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=== Intervals ===
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{{MOS intervals}}
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| | 240
=== Generator chain ===
| style="text-align:center;" |
{{MOS genchain}}
|-
 
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=== Modes ===
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{{MOS mode degrees}}
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=== Proposed names ===
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[[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].
| | 11\54
{{MOS modes
| | 244.444
| Mode Names =
| style="text-align:center;" |
Atlantic $
|-
Lumian $
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Pacific $
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Taliesin $
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Dresden $
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}}
| | 9\44
 
| |
== Scale tree ==
| | 245.455
{{MOS tuning spectrum
| style="text-align:center;" |
| 6/5 = Semiseptiquarter ↑
|-
| 4/3 = Hemifourths/angirus
| |
| 7/5 = Sruti
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| 10/7 = Semihemi, [[Hemipyth]] (249.0225{{c}})
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| 3/2 = Decimal is around here
| | 7\34
| 7/3 = Bamity
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| 9/2 = Doublewide
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| 6/1 = Bikleismic ↓
| | 247.059
}}
| style="text-align:center;" |
 
|-
== Music ==
| |
; [[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]])
| |
 
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[[Category:lime| ]]
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[[Category:10-tone scales]]
| | 31\150
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| | 248
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| | 12\58
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| | 248.276
| style="text-align:center;" |
|-
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| | 5\24
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| | 250
| style="text-align:center;" | Decimal is around here
|-
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| | 251.153
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|-
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| | 13\62
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| | 251.613
| style="text-align:center;" |
|-
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| | 21\100
| | 252
| style="text-align:center;" | Golden fair bicycle (?)
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| | 8\38
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| | 252.632
| style="text-align:center;" |
|-
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| | 253.59
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|-
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| | 11\52
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| | 253.846
| style="text-align:center;" |
|-
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| | 3\14
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| | 257.143
| style="text-align:center;" |
|-
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| | 13\60
| | 260
| style="text-align:center;" |
|-
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| | 10\46
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| | 260.870
| style="text-align:center;" |
|-
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| | 7\32
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| | 262.5
| style="text-align:center;" |
|-
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| | 18\82
| | 263.415
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| | 11\50
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| | 264
| style="text-align:center;" |
|-
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| | 264.44
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
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| | 4\18
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| | 266.667
| style="text-align:center;" | L/s = 3
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| | 267.683
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
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| | 9\40
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| | 270
| style="text-align:center;" |
|-
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| | 5\22
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| | 272.727
| style="text-align:center;" | L/s = 4
|-
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| | 11\48
| | 275
| style="text-align:center;" | Doublewide is around here
|-
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| | 6\26
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| | 276.923
| style="text-align:center;" |
|-
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| | 7\30
| | 280
| style="text-align:center;" |
|-
| | 1\4
| |  
| |  
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| | 300
| style="text-align:center;" |
|}
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