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1L 5s: Difference between revisions

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Other scales include very improper (incomplete) versions of porcupine, negri, etc.
Other scales include very improper (incomplete) versions of porcupine, negri, etc.


{| class="wikitable"
== Scale tree ==
{| class="wikitable center-all"
! colspan="6" rowspan="2" | Generator
! colspan="2" | Cents
! rowspan="2" | L
! rowspan="2" | s
! rowspan="2" | L/s
! rowspan="2" | Comments
|-
|-
! colspan="7" | Generator
! Chroma-positive
! | Cents
! Chroma-negative
! | Comments
|-
|-
| | 0\1
| 5\6 || || || || || || 1000.000 || 200.000 || 1 || 1 || 1.000 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| | 0
| style="text-align:center;" |  
|-
|-
|
| || || || || || 26\31 || 1006.452 || 193.548 || 6 || 5 || 1.200 || Luna/hemithirds/hemiwürschmidt, didacus/roulette, tutone/deutone/leantone
|
|
|
|
|
|1\12
|100
|
|-
|-
|
| || || || || 21\25 || || 1008.000 || 192.000 || 5 || 4 || 1.250 ||
|
|
|
|
|1\11
|
|109.09
|
|-
|-
|
| || || || || || 37\44 || 1009.091 || 190.909 || 9 || 7 || 1.286 ||  
|
|
|
|1\10
|
|
|120
|
|-
|-
| |  
| || || || 16\19 || || || 1010.526 || 189.474 || 4 || 3 || 1.333 ||
| |  
| |  
| | 1\9
| |  
| |  
| |  
| | 133.33
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || || || || 43\51 || 1011.765 || 188.235 || 11 || 8 || 1.375 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| | 1200/(5+pi)
| | <span style="display: block; text-align: center;"></span>
|-
|-
| |  
| || || || || 27\32 || || 1012.500 || 187.500 || 7 || 5 || 1.400 ||
| |  
| | 1\8
| |  
| |  
| |  
| |  
| | 150
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || || || || || 38\45 || 1013.333 || 186.667 || 10 || 7 || 1.428 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| | 1200/(5+e)
| |  
|-
|-
| |  
| || || 11\13 || || || || 1015.385 || 184.615 || 3 || 2 || 1.500 || L/s = 3/2, glacial
| |  
| |  
| | 2\15
| |  
| |  
| |  
| | 160
| style="text-align:center;" |
|-
|-
| |  
| || || || || || 39\46 || 1017.391 || 182.609 || 11 || 7 || 1.571 ||
| |  
| |  
| |  
| |  
| |  
| |  
| | 1200/(6+phi)
| |  
|-
|-
| |  
| || || || || 28\33 || || 1018.182 || 181.818 || 8 || 5 || 1.600 ||  
| |  
| |  
| |  
| | 3\22
| |  
| |  
| | 163.64
| style="text-align:center;" | Porcupine is around here
|-
|-
| |  
| || || || || || 45\53 || 1018.868 || 181.132 || 13 || 8 || 1.625 || [http://launch.groups.yahoo.com/group/tuning/message/100254 Unnamed golden tuning]{{dead link}}
| | 1\7
|-
| |  
| || || || 17\20 || || || 1020.000 || 180.000 || 5 || 3 || 1.667 ||
| |  
|-
| |  
| || || || || || 40\47 || 1021.277 || 178.723 || 12 || 7 || 1.714 ||
| |  
|-
| |  
| || || || || 23\27 || || 1022.222 || 177.778 || 7 || 4 || 1.750 ||
| | 171.43
|-
| style="text-align:center;" | Boundary of propriety
| || || || || || 29\34 || 1023.529 || 176.471 || 9 || 5 || 1.800 || Tetracot
 
|-
(generators larger than this are proper)
| || 6\7 || || || || || 1028.571 || 171.429 || 2 || 1 || 2.000 || Basic 1L 5s<br>(Generators smaller than this are proper)
|-
| || || || || || 25\29 || 1034.483 || 165.517 || 9 || 4 || 2.250 ||
|-
| || || || || 19\22 || || 1036.364 || 163.636 || 7 || 3 || 2.333 || Porcupine (incomplete)
|-
|-
| |  
| || || || || || 32\37 || 1037.838 || 162.162 || 12 || 5 || 2.400 ||
| |  
| |  
| |  
| |  
| | 5\34
| |  
| | 176.47
| style="text-align:center;" | Tetracot is around here
|-
|-
| |  
| || || || 13\15 || || || 1040.000 || 160.000 || 5 || 2 || 2.500 ||
| |  
| |  
| |  
| | 4\27
| |  
| |  
| | 177.78
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 33\38 || 1042.105 || 157.895 || 13 || 5 || 2.600 || Golden hemikleismic (?)
| |  
| |  
| | 3\20
| |  
| |  
| |  
| | 180
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 20\23 || || 1043.478 || 156.522 || 8 || 3 || 2.667 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| | 1200/(5+sqrt(3))
| |  
|-
|-
| |  
| || || || || || 27\31 || 1045.161 || 154.839 || 11 || 4 || 2.750 ||
| |  
| |  
| |  
| |  
| | 8\53
| |  
| | 181.13
| style="text-align:center;" |  
|-
|-
| |  
| || || 7\8 || || || || 1050.000 || 150.000 || 3 || 1 || 3.000 || L/s = 3/1
| |  
| |  
| |  
| |  
| |  
| |  
| | 1200/(5+phi)
| style="text-align:center;" | Unnamed golden temperament (discussed in [http://launch.groups.yahoo.com/group/tuning/message/100254 this thread])
|-
|-
| |  
| || || || || || 22\25 || 1056.000 || 144.000 || 10 || 3 || 3.333 ||
| |  
| |  
| |  
| | 5\33
| |  
| |  
| | 181.82
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 15\17 || || 1058.824 || 141.176 || 7 || 2 || 3.500 || Progression (incomplete)
| |  
| |  
| |  
| |  
| |  
| |  
| | 1200/(10+pi)
| |
|-
|-
| |  
| || || || || || 23\26 || 1061.538 || 138.462 || 11 || 3 || 3.667 ||  
| |  
| | 2\13
| |  
| |  
| |  
| |  
| | 184.62
| style="text-align:center;" | Optimum rank range glacial (L/s=3/2)
|-
|-
| |  
| || || || 8\9 || || || 1066.667 || 133.333 || 4 || 1 || 4.000 ||
| |  
| |  
| | 3\19
| |  
| |  
| |  
| | 189.47
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 17\19 || 1073.684 || 126.316 || 9 || 2 || 4.500 || Negri (incomplete)
| |  
| |  
| |  
| | 4\25
| |  
| |  
| | 192
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 9\10 || || 1080.000 || 120.000 || 5 || 1 || 5.000 || Miracle (incomplete)
| |  
| |  
| |  
| |  
| | 5\31
| |  
| | 193.55
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 10\11 || 1090.909 || 109.091 || 6 || 1 || 6.000 || Passion↓ (incomplete), ripple↓ (incomplete)
| |  
| |  
| |  
| |  
| |  
| | 6\37
| | 194.59
| style="text-align:center;" | Luna/Hemithird/Roulette is around here: [[roulette6|roulette6]]
|-
|-
| | 1\6
| 1\1 || || || || || || 1200.000 || 0.000 || 1 || 0 || → inf ||
| |  
| |  
| |  
| |  
| |  
| |  
| | 200
| style="text-align:center;" |  
|}
|}
[[Category:Scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:6-tone scales]]
Retrieved from "https://en.xen.wiki/w/1L_5s"