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6L 4s: Difference between revisions

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| Equalized = 2
| Equalized = 2
| Paucitonic = 1
| Paucitonic = 1
| Pattern = sLsLLsLsLL
| Pattern = LsLsLLsLsL
| Name = dipentic
| Name = dipentic
}}
}}


'''6L 4s''' is a [[MOSScales|MOS]] pattern with 6 large steps and 4 small steps. Good temperaments include [[antikythera|antikythera]], [[Lemba|lemba]], and [[Echidnic|echidnic]].
'''6L 4s''' is a [[MOS]] pattern with 6 large steps and 4 small steps. Good temperaments include [[antikythera]], [[lemba]], and [[echidnic]].


== Scale tree ==
== Scale tree ==
 
{| class="wikitable center-all"
{| class="wikitable"
! colspan="6" rowspan="2" | Generator
! colspan="2" | Cents
! rowspan="2" | L
! rowspan="2" | s
! rowspan="2" | L/s
! rowspan="2" | Comments
|-
! Chroma-positive
! Chroma-negative
|-
| 3\10 || || || || || || 360.000 || 240.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 17\56 || 364.286 || 235.714 || 6 || 5 || 1.200 ||
|-
| || || || || 14\46 || || 365.217 || 234.783 || 5 || 4 || 1.250 || Echidnic
|-
| || || || || || 25\82 || 365.854 || 234.146 || 9 || 7 || 1.286 ||
|-
| || || || 11\36 || || || 366.667 || 233.333 || 4 || 3 || 1.333 || Baladic
|-
| || || || || || 30\98 || 367.347 || 232.653 || 11 || 8 || 1.375 ||
|-
| || || || || 19\62 || || 367.742 || 232.258 || 7 || 5 || 1.400 ||
|-
| || || || || || 27\88 || 368.182 || 231.818 || 10 || 7 || 1.428 ||
|-
| || || 8\26 || || || || 369.231 || 230.769 || 3 || 2 || 1.500 || L/s = 3/2, lemba
|-
| || || || || || 29\94 || 370.213 || 229.787 || 11 || 7 || 1.571 ||
|-
| || || || || 21\68 || || 370.588 || 229.412 || 8 || 5 || 1.600 ||
|-
| || || || || || 34\110 || 370.909 || 229.091 || 13 || 8 || 1.625 || Unnamed golden tuning
|-
| || || || 13\42 || || || 371.429 || 228.571 || 5 || 3 || 1.667 ||
|-
|-
! colspan="5" | Generator
| || || || || || 31\100 || 372.000 || 228.000 || 12 || 7 || 1.714 ||
! | Cents
! | Comments
|-
|-
| | 1\6
| || || || || 18\58 || || 372.414 || 227.586 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| |  
| | 200
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 23\74 || 372.973 || 227.027 || 9 || 5 || 1.800 ||
| |  
| |  
| |  
| | 6\34
| | 211.765
| style="text-align:center;" |  
|-
|-
| |  
| || 5\16 || || || || || 375.000 || 225.000 || 2 || 1 || 2.000 || Basic dipentic<br>(Generators smaller than this are proper)
| |  
| |  
| | 5\28
| |  
| | 214.29
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 22\70 || 377.143 || 222.857 || 9 || 4 || 2.250 ||
| |  
| |  
| |  
| |  
| | 217.51
| style="text-align:center;" | L/s = pi
|-
|-
| |  
| || || || || 17\54 || || 377.778 || 222.222 || 7 || 3 || 2.333 ||  
| |  
| | 4\22
| |  
| |  
| | 218.18
| style="text-align:center;" | Antikythera is around here
|-
|-
| |  
| || || || || || 29\92 || 378.261 || 221.739 || 12 || 5 || 2.400 ||
| |  
| |  
| |  
| |  
| | 219.695
| style="text-align:center;" | L/s = e
|-
|-
| |  
| || || || 12\38 || || || 378.947 || 221.053 || 5 || 2 || 2.500 ||  
| |  
| |  
| |  
| | 11\60
| | 220
| |  
|-
|-
| |  
| || || || || || 31\98 || 379.592 || 220.408 || 13 || 5 || 2.600 || Unnamed golden tuning
| |  
| |  
| |  
| |  
| | 220.3
| |  
|-
|-
| |  
| || || || || 19\60 || || 380.000 || 220.000 || 8 || 3 || 2.667 || Divination
| |  
| |  
| | 7\38
| |  
| | 221.05
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 26\82 || 380.488 || 219.512 || 11 || 4 || 2.750 || Soothsaying
| | 3\16
| |  
| |  
| |  
| | 225
| style="text-align:center;" | Boundary of propriety (generators larger than this are proper)
|-
|-
| |  
| || || 7\22 || || || || 381.818 || 218.182 || 3 || 1 || 3.000 || L/s = 3/1, antikythera/astrology
| |  
| |  
| |  
| |  
| | 227.79
| |  
|-
|-
| |  
| || || || || || 23\72 || 383.333 || 216.667 || 10 || 3 || 3.333 || Wizard
| |  
| |  
| | 8\42
| |  
| | 228.57
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 16\50 || || 384.000 || 216.000 || 7 || 2 || 3.500 ||  
| |  
| |  
| |  
| |  
| | 229.18
| style="text-align:center;" | L/s = Φ
|-
|-
| |  
| || || || || || 25\78 || 384.615 || 215.385 || 11 || 3 || 3.667 ||  
| |  
| |  
| |  
| | 13\68
| | 229.48
| |  
|-
|-
| |  
| || || || 9\28 || || || 385.714 || 214.286 || 4 || 1 || 4.000 ||
| |  
| |  
| |  
| |  
| | 229.6
| |  
|-
|-
| |  
| || || || || || 20\62 || 387.097 || 212.903 || 9 || 2 || 4.500 ||  
| |  
| | 5\26
| |  
| |  
| | 230.77
| style="text-align:center;" | Lemba is around here
|-
|-
| |  
| || || || || 11\34 || || 388.235 || 211.765 || 5 || 1 || 5.000 ||  
| |  
| |  
| | 7\36
| |  
| | 233.33
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 13\40 || 390.000 || 210.000 || 6 || 1 || 6.000 ||  
| |  
| |  
| |  
| | 9\46
| | 234.78
| style="text-align:center;" | Echidnic is around here
|-
|-
| | 2\10
| 2\6 || || || || || || 400.000 || 200.000 || 1 || 0 || → inf ||
| |  
| |  
| |  
| |  
| | 240
| style="text-align:center;" |  
|}
|}


{{todo|cleanup <!-- table styling -->}}
[[Category:Scales]]
 
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Dipentic]]
Retrieved from "https://en.xen.wiki/w/6L_4s"