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| {{Infobox MOS | | {{Infobox MOS}} |
| | Name = antiaugmoid
| | {{MOS intro}} |
| | Periods = 3
| | |
| | nLargeSteps = 3
| | This MOS represents, among other chromatic scales, that of the [[Augene]] temperament. |
| | nSmallSteps = 9
| | |
| | Equalized = 3
| | == Scale properties == |
| | Paucitonic = 1
| | {{TAMNAMS use}} |
| | Pattern = LsssLsssLsss
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| }} | |
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| '''3L 9s''' is the MOS pattern LsssLsssLsss with small steps ranging from 0\1 (0¢) to 1\12 (one step of [[12edo]] = 100¢).
| | === Intervals === |
| | {{MOS intervals}} |
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| This MOS represents, among other chromatic scales, that of the [[Augene]] temperament.
| | === Generator chain === |
| | {{MOS genchain}} |
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| == Modes == | | === Modes === |
| * 9|0(3) LsssLsssLsss
| | {{MOS mode degrees}} |
| * 6|3(3) sLsssLsssLss
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| * 3|6(3) ssLsssLsssLs
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| * 0|9(3) sssLsssLsssL
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| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{MOS tuning spectrum |
| * Chroma-positive generator: 300 cents (3\12) to 400 cents (1\3)
| | | 6/5 = [[Misty]]/[[fog]] |
| * Chroma-negative generator: 0 cents (0\3) to 100 cents (1\12)
| | | 3/2 = [[Augene]] is around here |
| | | 13/8 = Golden augene (86.6169{{c}}) |
| | | 5/2 = [[Inflated]] is around here |
| | | 13/8 = Golden inflated (71.1993{{c}}) |
| | | 6/1 = [[Hemiaug]] |
| | }} |
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| {| class="wikitable center-all" | | {{todo|expand}} |
| ! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span>
| |
| ! Cents
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| ! L
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| ! s
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| ! L/s
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| ! Comments
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| |-
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| | 1\12 || || || || || || 100.000 || 1 || 1 || 1.000 ||
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| |-
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| | || || || || || 5\63 || 95.238 || 6 || 5 || 1.200 || [[Misty]]/[[fog]]
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| |-
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| | || || || || 4\51 || || 94.118 || 5 || 4 || 1.250 ||
| |
| |-
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| | || || || || || 7\90 || 93.333 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 3\39 || || || 92.308 || 4 || 3 || 1.333 ||
| |
| |-
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| | || || || || || 8\105 || 91.429 || 11 || 8 || 1.375 ||
| |
| |-
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| | || || || || 5\66 || || 90.909 || 7 || 5 || 1.400 ||
| |
| |-
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| | || || || || || 7\93 || 90.323 || 10 || 7 || 1.429 ||
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| |-
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| | || || 2\27 || || || || 88.889 || 3 || 2 || 1.500 || [[Augene]] is around here
| |
| |-
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| | || || || || || 7\96 || 87.500 || 11 || 7 || 1.571 ||
| |
| |-
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| | || || || || 5\69 || || 86.957 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 8\111 || 86.486 || 13 || 8 || 1.625 || Golden augene (86.6169¢)
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| |-
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| | || || || 3\42 || || || 85.714 || 5 || 3 || 1.667 ||
| |
| |-
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| | || || || || || 7\99 || 84.848 || 12 || 7 || 1.714 ||
| |
| |-
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| | || || || || 4\57 || || 84.211 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 5\72 || 83.333 || 9 || 5 || 1.800 ||
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| |-
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| | || 1\15 || || || || || 80.000 || 2 || 1 || 2.000 || Basic 3L 9s <br>(Generators larger than this are proper)
| |
| |-
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| | || || || || || 4\63 || 76.190 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 3\48 || || 75.000 || 7 || 3 || 2.333 ||
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| |-
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| | || || || || || 5\81 || 74.074 || 12 || 5 || 2.400 ||
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| |-
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| | || || || 2\33 || || || 72.727 || 5 || 2 || 2.500 || [[Inflated]] is around here
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| |-
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| | || || || || || 5\84 || 71.429 || 13 || 5 || 2.600 || Golden inflated (71.1993¢)
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| |-
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| | || || || || 3\51 || || 70.588 || 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 4\69 || 69.565 || 11 || 4 || 2.750 ||
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| |-
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| | || || 1\18 || || || || 66.667 || 3 || 1 || 3.000 ||
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| |-
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| | || || || || || 3\57 || 63.158 || 10 || 3 || 3.333 ||
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| |-
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| | || || || || 2\39 || || 61.538 || 7 || 2 || 3.500 ||
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| |-
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| | || || || || || 3\60 || 60.000 || 11 || 3 || 3.667 ||
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| |-
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| | || || || 1\21 || || || 57.143 || 4 || 1 || 4.000 ||
| |
| |-
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| | || || || || || 2\45 || 53.333 || 9 || 2 || 4.500 ||
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| |-
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| | || || || || 1\24 || || 50.000 || 5 || 1 || 5.000 ||
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| |-
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| | || || || || || 1\27 || 44.444 || 6 || 1 || 6.000 || [[Hemiaug]]
| |
| |-
| |
| | 0\3 || || || || || || 0 || 1 || 0 || → inf ||
| |
| |}
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| [[Category:12-tone scales]] | | [[Category:12-tone scales]] |