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This MOS, with a generator of up to 1/9edo (133.333 cents), represents temperaments like Miracle (2<L<3 s=1) and Negri (3<L<4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3/28edo (L near 4 s=3).
{{Infobox MOS
| Periods = 1
| nLargeSteps = 1
| nSmallSteps = 8
| Equalized = 8
| Paucitonic = 1
| Pattern = Lssssssss
}}


{| class="wikitable"
'''1L 8s''' is the MOS pattern Lssssssss with small steps ranging from 0\1 (0¢) to 1\9 (one step of [[9edo]] = 133.3¢).
 
This MOS represents temperaments like Miracle and Negri. Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3\28 (around [[14/13]]).
 
== Modes ==
* 8|0 Lssssssss
* 7|1 sLsssssss
* 6|2 ssLssssss
* 5|3 sssLsssss
* 4|4 ssssLssss
* 3|5 sssssLsss
* 2|6 ssssssLss
* 1|7 sssssssLs
* 0|8 ssssssssL
 
== Scale tree ==
Generator ranges:
* Chroma-positive generator: 1066.6667 cents (8\9) to 1200 cents (1\1)
* Chroma-negative generator: 0 cents (0\1) to 133.3333 cents (1\9)
 
{| class="wikitable center-all"
! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span>
! Cents
! L
! s
! L/s
! Comments
|-
| 1\9 || || || || || || 133.333 || 1 || 1 || 1.000 ||
|-
| || || || || || 5\46 || 130.435 || 6 || 5 || 1.200 ||
|-
| || || || || 4\37 || || 129.730 || 5 || 4 || 1.250 ||
|-
| || || || || || 7\65 || 129.231 || 9 || 7 || 1.286 ||
|-
| || || || 3\28 || || || 128.571 || 4 || 3 || 1.333 ||
|-
| || || || || || 8\75 || 128.000 || 11 || 8 || 1.375 ||
|-
| || || || || 5\47 || || 127.660 || 7 || 5 || 1.400 ||
|-
| || || || || || 7\66 || 127.273 || 10 || 7 || 1.429 ||
|-
| || || 2\19 || || || || 126.316 || 3 || 2 || 1.500 || [[Negri]]
|-
| || || || || || 7\67 || 125.373 || 11 || 7 || 1.571 ||
|-
|-
| | 0/1
| || || || || 5\48 || || 125.000 || 8 || 5 || 1.600 ||  
| |  
| |  
| |  
| |  
| | 0
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 8\77 || 124.675 || 13 || 8 || 1.625 || Golden negri (124.7656¢)
| |  
| |  
| |  
| | 1/13
| | 92.308
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || 3\29 || || || 124.138 || 5 || 3 || 1.667 ||  
| |  
| |  
| | 1/12
| |  
| | 100
| style="text-align:center;" |  
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || || || || 7\68 || 123.529 || 12 || 7 || 1.714 ||  
| |  
| |  
| |  
| | 2/23
| | 104.348
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 4\39 || || 123.077 || 7 || 4 || 1.750 ||  
| |  
| |  
| |  
| |  
| | 1200/(8+pi)
| |  
| |  
|-
|-
| |  
| || || || || || 5\49 || 122.449 || 9 || 5 || 1.800 ||  
| |  
| | 1/11
| |  
| |  
| | 109.091
| |
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || 1\10 || || || || || 120.000 || 2 || 1 || 2.000 || Basic 1L 8s <br>(small steps larger than this are proper)
| |  
| |  
| |  
| |  
| | 1200/(8+e)
| |  
| |  
|-
|-
| |  
| || || || || || 4\41 || 117.073 || 9 || 4 || 2.250 || [[Miracle]]
| |  
| |  
| |  
| | 3/32
| | 112.5
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 3\31 || || 116.129 || 7 || 3 || 2.333 || Miracle/[[revelation]]
| |  
| |  
| |  
| |  
| | 1200/(9+phi)
| |  
| |  
|-
|-
| |  
| || || || || || 5\52 || 115.385 || 12 || 5 || 2.400 ||  
| |  
| |  
| | 2/21
| |  
| | 114.286
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || 2\21 || || || 114.286 || 5 || 2 || 2.500 ||  
| |  
| |  
| |  
| | 3/31
| | 116.129
| style="text-align:center;" | Miracle is around here
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 5\53 || 113.208 || 13 || 5 || 2.600 || Golden [[misneb]] (113.0153¢)
| | 1/10
| |  
| |  
| |  
| | 120
| |
 
Negri generators from here...
| style="text-align:center;" | Boundary of propriety:
 
generators larger than this are proper
|-
|-
| |  
| || || || || 3\32 || || 112.500 || 8 || 3 || 2.667 ||  
| |  
| |  
| |  
| |  
| | 1200/(8+<span style="line-height: 1.5;">sqrt(3))</span>
| |  
| |  
|-
|-
| |  
| || || || || || 4\43 || 111.628 || 11 || 4 || 2.750 ||  
| |  
| |  
| |  
| | 4/39
| | 123.077
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || 1\11 || || || || 109.091 || 3 || 1 || 3.000 ||  
| |  
| |  
| | 3/29
| |  
| | 124.138
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 3\34 || 105.882 || 10 || 3 || 3.333 ||  
| |  
| |  
| |  
| |  
| | 1200/(8+phi)
| |  
| |  
|-
|-
| |  
| || || || || 2\23 || || 104.348 || 7 || 2 || 3.500 ||  
| |  
| |  
| |  
| | 5/48
| | 125
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 3\35 || 102.857 || 11 || 3 || 3.667 ||  
| |  
| |  
| |  
| |  
| | 1200/(8+pih)
| |  
| |  
|-
|-
| |  
| || || || 1\12 || || || 100.000 || 4 || 1 || 4.000 || [[Ripple]]
| |  
| | 2/19
| |  
| |  
| | 126.316
| style="text-align:center;" | ...to here
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 2\25 || 96.000 || 9 || 2 || 4.500 || [[Passion]]
| |  
| |  
| |  
| | 5/47
| | 127.66
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 1\13 || || 92.308 || 5 || 1 || 5.000 ||  
| |  
| |  
| | 3/28
| |  
| | 128.571
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 1\14 || 85.714 || 6 || 1 || 6.000 ||  
| |  
| |  
| |  
| | 4/37
| | 129.73
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| | 1/9
| 0\1 || || || || || || 0.000 || 1 || 0 || → inf ||  
| |  
| |  
| |  
| |  
| | 133.333
| style="text-align:center;" |  
| style="text-align:center;" |  
|}
|}


[[Category:Scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:9-tone scales]]
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