4L 6s: Difference between revisions

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| Pattern = LsLssLsLss
| Pattern = LsLssLsLss
| Name = lime
| Name = lime
}}
{{MOS intro}}
It is significant as the "pentatonic scale" of [[hemipythagorean]] tuning.
== Scale properties ==
{{TAMNAMS use}}
=== Intervals ===
{{MOS intervals}}
=== Generator chain ===
{{MOS genchain}}
=== 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 =
Atlantic $
Lumian $
Pacific $
Taliesin $
Dresden $
}}
}}


{{MOS intro}}
== Modes ==
{{MOS modes}}
== Scale tree ==
== Scale tree ==
{| class="wikitable center-all"
{{MOS tuning spectrum
! colspan="6" | Generator
| 6/5 = Semiseptiquarter ↑
! Cents
| 4/3 = Hemifourths/angirus
! L
| 7/5 = Sruti
! s
| 10/7 = Semihemi, [[Hemipyth]] (249.0225{{c}})
! L/s
| 3/2 = Decimal is around here
! Comments
| 7/3 = Bamity
|-
| 9/2 = Doublewide
| 2\10 || || || || || || 240.000 || 1 || 1 || 1.000 ||
| 6/1 = Bikleismic ↓
|-
}}
| || || || || || 11\54 || 244.444 || 6 || 5 || 1.200 || Semiseptiquarter↑
 
|-
== Music ==
| || || || || 9\44 || || 245.455 || 5 || 4 || 1.250 ||
; [[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]])
| || || || || || 16\78 || 246.154 || 9 || 7 || 1.286 ||
|-
| || || || 7\34 || || || 247.059 || 4 || 3 || 1.333 || Hemifourths/anguirus
|-
| || || || || || 19\92 || 247.826 || 11 || 8 || 1.375 ||
|-
| || || || || 12\58 || || 248.276 || 7 || 5 || 1.400 || Sruti
|-
| || || || || || 17\82 || 248.780 || 10 || 7 || 1.428 || Semihemi
|-
| || || 5\24 || || || || 250.000 || 3 || 2 || 1.500 || L/s = 3/2, decimal is around here
|-
| || || || || || 18\86 || 251.163 || 11 || 7 || 1.571 ||
|-
| || || || || 13\62 || || 251.613 || 8 || 5 || 1.600 ||
|-
| || || || || || 21\100 || 252.000 || 13 || 8 || 1.625 || Unnamed golden tuning
|-
| || || || 8\38 || || || 252.632 || 5 || 3 || 1.667 ||
|-
| || || || || || 19\90 || 253.333 || 12 || 7 || 1.714 ||
|-
| || || || || 11\52 || || 253.846 || 7 || 4 || 1.750 ||
|-
| || || || || || 14\66 || 254.545 || 9 || 5 || 1.800 ||
|-
| || 3\14 || || || || || 257.143 || 2 || 1 || 2.000 || Basic lime<br>(Generators smaller than this are proper)
|-
| || || || || || 13\60 || 260.000 || 9 || 4 || 2.250 ||
|-
| || || || || 10\46 || || 260.870 || 7 || 3 || 2.333 || Bamity
|-
| || || || || || 17\78 || 261.538 || 12 || 5 || 2.400 ||
|-
| || || || 7\32 || || || 262.500 || 5 || 2 || 2.500 ||
|-
| || || || || || 18\82 || 263.415 || 13 || 5 || 2.600 || Unnamed golden tuning
|-
| || || || || 11\50 || || 264.000 || 8 || 3 || 2.667 ||
|-
| || || || || || 15\68 || 264.706 || 11 || 4 || 2.750 ||
|-
| || || 4\18 || || || || 266.667 || 3 || 1 || 3.000 || L/s = 3/1
|-
| || || || || || 13\58 || 268.966 || 10 || 3 || 3.333 ||
|-
| || || || || 9\40 || || 270.000 || 7 || 2 || 3.500 ||
|-
| || || || || || 14\62 || 270.968 || 11 || 3 || 3.667 ||
|-
| || || || 5\22 || || || 272.727 || 4 || 1 || 4.000 ||
|-
| || || || || || 11\48 || 275.000 || 9 || 2 || 4.500 || Doublewide
|-
| || || || || 6\26 || || 276.923 || 5 || 1 || 5.000 ||
|-
| || || || || || 7\30 || 280.000 || 6 || 1 || 6.000 || Bikleismic↓
|-
| 1\4 || || || || || || 300.000 || 1 || 0 || → inf ||
|}


[[Category:lime| ]]
[[Category:lime| ]]
[[Category:10-tone scales]]
[[Category:10-tone scales]]
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