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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
| Collapsed = 1
| Pattern = Lssssssss
}}


{| class="wikitable"
{{MOS intro}}
 
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 [[28edo|3\28]] (around [[14/13]]).
 
== Modes ==
{{MOS modes}}
 
=== Degrees ===
{{MOS mode degrees}}
 
== Intervals ==
{{MOS intervals}}
 
== 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 ||
|-
|-
| | 0/1
| || || || 3\28 || || || 128.571 || 4 || 3 || 1.333 ||  
| |  
| |  
| |  
| |  
| | 0
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 8\75 || 128.000 || 11 || 8 || 1.375 ||  
| |  
| |  
| |  
| | 1/13
| | 92.308
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 5\47 || || 127.660 || 7 || 5 || 1.400 ||  
| |  
| |  
| | 1/12
| |  
| | 100
| style="text-align:center;" |  
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || || || || 7\66 || 127.273 || 10 || 7 || 1.429 ||  
| |  
| |  
| |  
| | 2/23
| | 104.348
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || 2\19 || || || || 126.316 || 3 || 2 || 1.500 || [[Negri]]
| |  
| |  
| |  
| |  
| | 1200/(8+pi)
| |  
| |  
|-
|-
| |  
| || || || || || 7\67 || 125.373 || 11 || 7 || 1.571 ||  
| |  
| | 1/11
| |  
| |  
| | 109.091
| |
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || || || || 5\48 || || 125.000 || 8 || 5 || 1.600 ||  
| |  
| |  
| |  
| |  
| | 1200/(8+e)
| |  
| |  
|-
|-
| |  
| || || || || || 8\77 || 124.675 || 13 || 8 || 1.625 || Golden negri (124.7656¢)
| |  
| |  
| |  
| | 3/32
| | 112.5
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || 3\29 || || || 124.138 || 5 || 3 || 1.667 ||  
| |  
| |  
| |  
| |  
| | 1200/(9+phi)
| |  
| |  
|-
|-
| |  
| || || || || || 7\68 || 123.529 || 12 || 7 || 1.714 ||  
| |  
| |  
| | 2/21
| |  
| | 114.286
| style="text-align:center;" |  
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 4\39 || || 123.077 || 7 || 4 || 1.750 ||  
| |  
| |  
| |  
| | 3/31
| | 116.129
| style="text-align:center;" | Miracle is around here
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 5\49 || 122.449 || 9 || 5 || 1.800 ||  
| | 1/10
|-
| |  
| || 1\10 || || || || || 120.000 || 2 || 1 || 2.000 || Basic 1L 8s <br>(small steps larger than this are proper)
| |  
|-
| |  
| || || || || || 4\41 || 117.073 || 9 || 4 || 2.250 || [[Miracle]]
| | 120
|-
| |
| || || || || 3\31 || || 116.129 || 7 || 3 || 2.333 || Miracle/[[revelation]]
 
|-
Negri generators from here...
| || || || || || 5\52 || 115.385 || 12 || 5 || 2.400 ||
| style="text-align:center;" | Boundary of propriety:
|-
 
| || || || 2\21 || || || 114.286 || 5 || 2 || 2.500 ||  
generators larger than this are proper
|-
| || || || || || 5\53 || 113.208 || 13 || 5 || 2.600 || Golden [[misneb]] (113.0153¢)
|-
|-
| |  
| || || || || 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:Abstract MOS patterns]]
{{todo|expand}}
[[Category:9-tone scales]]
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