|
|
| (21 intermediate revisions by 9 users not shown) |
| Line 4: |
Line 4: |
| | nSmallSteps = 6 | | | nSmallSteps = 6 |
| | Equalized = 2 | | | Equalized = 2 |
| | Paucitonic = 1 | | | Collapsed = 1 |
| | Pattern = sLsLssLsLs | | | Pattern = LsLssLsLss |
| | Name = antidipentic | | | Name = lime |
| }} | | }} |
| | {{MOS intro}} |
|
| |
|
| '''4L 6s''' is the [[MOS scale]] with 4 large steps and 6 small steps. It repeats at the half-octave, and the generator is between 2\10 (240[[¢]]) to 1\4 (300¢).
| | 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 $ |
| | }} |
|
| |
|
| == 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 antidipentic<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:Abstract MOS patterns]] | | [[Category:lime| ]] |
| [[Category:Antidipentic| ]] <!-- main article --> | | [[Category:10-tone scales]] |
| | <!-- main article --> |