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| There are two notable low-harmonic-entropy scales with this [[MOSScales|MOS]] pattern. The first is [[Tetracot_family|tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6|roulette6]], the six note haplitonic scale for the roulette [[Chromatic_pair|Chromatic pair]].
| | {{Infobox MOS |
| | | Periods = 1 |
| | | nLargeSteps = 1 |
| | | nSmallSteps = 5 |
| | | Equalized = 5 |
| | | Collapsed = 1 |
| | | Pattern = Lsssss |
| | }} |
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| Other scales include very improper (incomplete) versions of porcupine, negri, etc.
| | {{MOS intro}} |
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| {| class="wikitable"
| | There are two notable low-harmonic-entropy scales with this [[MOS scale|MOS]] pattern. The first is [[tetracot]], in which four [[generator]]s make a [[3/2]]. |
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| ! colspan="7" | Generator
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| ! | Cents
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| ! | Comments
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| | | 0\1
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| | | 0
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| |1\12
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| |100
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| |1\11
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| |109.09
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| |1\10
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| |120
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| | | 1\9
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| | | 133.33
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| | style="text-align:center;" | L/s = 4
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| | | 1200/(5+pi)
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| | | <span style="display: block; text-align: center;"></span>
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| | | 1\8
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| | | 150
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| | style="text-align:center;" | L/s = 3
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| | | 1200/(5+e)
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| | | 2\15
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| | | 160
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| | | 1200/(6+phi)
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| | | 3\22
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| | | 163.64
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| | style="text-align:center;" | Porcupine is around here
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| | | 1\7
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| | | 171.43
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| | style="text-align:center;" | Boundary of propriety
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| (generators larger than this are proper)
| | The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "[[luna]]", "[[hemithird]]", and "[[hemiwürschmidt]]" all have [[hexatonic|6-note]] MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]]. |
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| | This scale can be seen as the equal-tempered whole-tone scale ([[6edo]]), but with one "whole tone" that is larger than the others. |
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| | Other scales include very improper (incomplete) versions of [[porcupine]], [[negri]], etc. |
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| | == Scale properties == |
| | | 5\34
| | {{TAMNAMS use}} |
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| | | 176.47
| | === Intervals === |
| | style="text-align:center;" | Tetracot is around here
| | {{MOS intervals}} |
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| | === Generator chain === |
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| | {{MOS genchain}} |
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| | === Modes === |
| | | 4\27
| | {{MOS mode degrees}} |
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| | == Scales == |
| | | 177.78
| | === Scale list === |
| | style="text-align:center;" |
| | * [[Roulette6]] |
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| | * [[Tutone6]] |
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| | * [[Deutone6]] |
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| | * [[Leantone6]] |
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| | * [[Glacial6]] |
| | | 3\20
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| | === Scale tree === |
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| | {{MOS tuning spectrum |
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| | | 6/5 = [[Luna]]/[[hemithirds]]/[[hemiwürschmidt]]<br />[[Didacus]]/[[roulette]]<br />[[Isra]]/[[tutone]]/[[leantone]] |
| | | 180
| | | 5/4 = Isra/leantone |
| | style="text-align:center;" |
| | | 9/7 = Isra/deutone |
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| | | 4/3 = [[Spell]] |
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| | | 3/2 = [[Glacial]] |
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| | | 13/8 = Wilson Golden 2 (1018.6773{{c}}) |
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| | | 9/5 = [[Tetracot]] |
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| | | 7/3 = [[Porcupine]] (incomplete) |
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| | | 12/5 = Porcupine/[[porcupinefish]] |
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| | | 13/5 = Wilson Golden 1 (1042.4790{{c}}) |
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| | | 11/4 = [[Nusecond]] |
| | | 1200/(5+sqrt(3))
| | | 7/2 = [[Progression]] (incomplete) |
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| | | 9/2 = [[Negri]] (incomplete) |
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| | | 5/1 = [[Miracle]] (incomplete) |
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| | | 6/1 = [[Passion]] (incomplete) ↓, [[ripple]] (incomplete) ↓ |
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| | }} |
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| | [[Category:6-tone scales]] |
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| | | 8\53
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| | | 181.13
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| | | 1200/(5+phi) | |
| | style="text-align:center;" | Unnamed golden temperament (discussed in [http://launch.groups.yahoo.com/group/tuning/message/100254 this thread])
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| | | 5\33
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| | | 181.82
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| | style="text-align:center;" |
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| | | 1200/(10+pi)
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| | | 2\13 | |
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| | | 184.62
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| | style="text-align:center;" | Optimum rank range glacial (L/s=3/2)
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| | | 3\19
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| | | 189.47
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| | style="text-align:center;" |
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| | | 4\25
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| | | 192
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| | style="text-align:center;" |
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| | | 5\31
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| | | 193.55
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| | style="text-align:center;" | | |
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| | | 6\37
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| | | 194.59
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| | style="text-align:center;" | Luna/Hemithird/Roulette is around here: [[roulette6|roulette6]]
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| | | 1\6
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| | | 200
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| | style="text-align:center;" |
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| |}
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| [[Category:Abstract MOS patterns]] | |