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This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
{{Infobox MOS
| Name =
| Periods = 1
| nLargeSteps = 1
| nSmallSteps = 9
| Equalized = 9
| Collapsed = 1
| Pattern = Lsssssssss
}}


{| class="wikitable"
{{MOS intro}}
|-
! colspan="5" | Generator


(octave fraction)
This scale is the simplest MOS which may be used as a complete version{{Clarify}} of [[Miracle]] temperament, which is also its [[harmonic entropy]] minimum.
! | Generator


(cents)
This scale is known as the '''Happy decatonic scale''' in [[Graham Breed's MOS naming scheme|Graham Breed's naming system]].
! | Comments
|-
| | 0\1
| |
| |
| |
| |
| | 0
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 1\14
| | 85.714
| style="text-align:center;" |
|-
| |
| |
| |
| | 1\13
| |
| | 92.308
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| | 2\25
| | 96
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 1200/(9+pi)
| |
|-
| |
| |
| | 1\12
| |
| |
| | 100
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| | 1200/(9+e)
| |
|-
| |
| |
| |
| |
| | 3\35
| | 102.857
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 1200/(10+phi)
| |
|-
| |
| |
| |
| | 2\23
| |
| | 104.348
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 3\34
| | 105.882
| style="text-align:center;" |
|-
| |
| | 1\11
| |
| |
| |
| | 109.091
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 1200/(9+sqrt(3))
| |
|-
| |
| |
| |
| |
| | 4\43
| | 111.628
| style="text-align:center;" |
|-
| |
| |
| |
| | 3\32
| |
| | 112.5
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 1200/(9+phi)
| |
|-
| |
| |
| |
| |
| | 5\53
| | 113.2075
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 1200/(9+pi/2)
| |
|-
| |
| |
| | 2\21
| |
| |
| | 114.286
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 5\52
| | 115.385
| style="text-align:center;" |
|-
| |
| |
| |
| | 3\31
| |
| | 116.129
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 4\41
| | 117.073
| style="text-align:center;" |
|-
| | 1\10
| |
| |
| |
| |
| | 120
| style="text-align:center;" |
|}


[[Category:Abstract MOS patterns]]
== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scale tree==
{{MOS tuning spectrum
| 9/7 = [[Miracle]]
| 8/5 = [[Misneb]]
| 3/1 = [[Ripple]]
| 13/5 = Golden ripple (103.288¢)
| 10/3 = [[Passion]]
| 6/1 = [[Nautilus]], [[nuke]], ↓[[valentine]]
}}
 
[[Category:10-tone scales]]
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