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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 in Graham Breed's system, or, potentially, antisinatonic in [[TAMNAMS]] by analogy to its sister MOS. It is the simplest MOS which may be used as a complete version of [[Miracle]] temperament, which is also its harmonic entropy minimum.
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| {{Infobox MOS | | {{Infobox MOS |
| | Name = | | | Name = |
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| | nLargeSteps = 1 | | | nLargeSteps = 1 |
| | nSmallSteps = 9 | | | nSmallSteps = 9 |
| | Equalized = 1 | | | Equalized = 9 |
| | Paucitonic = 0 | | | Collapsed = 1 |
| | Pattern = Lsssssssss | | | Pattern = Lsssssssss |
| }} | | }} |
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| {| class="wikitable" | | {{MOS intro}} |
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| ! colspan="5" | Generator
| | 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. |
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| | This scale is known as the '''Happy decatonic scale''' in [[Graham Breed's MOS naming scheme|Graham Breed's naming system]]. |
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| (octave fraction)
| | == Scale properties == |
| ! | Generator
| | {{TAMNAMS use}} |
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| (cents)
| | === Intervals === |
| ! | Comments
| | {{MOS intervals}} |
| |-
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| | | 0\1
| | === Generator chain === |
| | |
| | {{MOS genchain}} |
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| | === Modes === |
| | |
| | {{MOS mode degrees}} |
| | | 0
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| | style="text-align:center;" |
| | == Scale tree== |
| |-
| | {{MOS tuning spectrum |
| | |
| | | 9/7 = [[Miracle]] |
| | |
| | | 8/5 = [[Misneb]] |
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| | | 3/1 = [[Ripple]] |
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| | | 13/5 = Golden ripple (103.288¢) |
| | | 1\14
| | | 10/3 = [[Passion]] |
| | | 85.714
| | | 6/1 = [[Nautilus]], [[nuke]], ↓[[valentine]] |
| | style="text-align:center;" |
| | }} |
| |-
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| | | 1\13
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| | | 92.308
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| | style="text-align:center;" | L/s = 4
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| |-
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| | | 2\25
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| | | 96
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| | style="text-align:center;" |
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| |-
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| | | 1200/(9+pi)
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| |-
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| | | 1\12
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| | | 100
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| | style="text-align:center;" | L/s = 3
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| |-
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| | | 1200/(9+e)
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| |-
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| | | 3\35
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| | | 102.857
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| | style="text-align:center;" |
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| |-
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| | | 1200/(10+phi)
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| |-
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| | | 2\23
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| | | 104.348
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| | style="text-align:center;" |
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| |-
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| | | 3\34
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| | | 105.882
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| | style="text-align:center;" |
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| |-
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| | | | |
| | | 1\11
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| | | 109.091
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| | style="text-align:center;" | L/s = 2
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| |-
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| | | 1200/(9+sqrt(3))
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| |-
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| | | 4\43
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| | | 111.628
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| | style="text-align:center;" |
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| |-
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| | | 3\32
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| | | 112.5
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| | style="text-align:center;" |
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| |- | |
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| | | 1200/(9+phi)
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| |-
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| | | 5\53
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| | | 113.2075
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| | style="text-align:center;" |
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| |-
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| | | 1200/(9+pi/2)
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| |-
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| | | 2\21
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| | | 114.286
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| | style="text-align:center;" | L/s = 3/2
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| |-
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| | | 5\52
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| | | 115.385
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| | style="text-align:center;" |
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| |- | |
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| | | 3\31
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| | | 116.129
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| | style="text-align:center;" | Miracle is in this region
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| |-
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| | | 4\41
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| | | 117.073
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| | style="text-align:center;" |
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| |-
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| | | 1\10
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| | | 120
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| | style="text-align:center;" |
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| |}
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| [[Category:Abstract MOS patterns]] | | [[Category:10-tone scales]] |