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| {{Infobox MOS | | {{Infobox MOS}} |
| | Name = antiarcheotonic
| | {{MOS intro}} |
| | Periods = 1
| | == Name == |
| | nLargeSteps = 1
| | {{TAMNAMS name}} The name derives from several naming puns/reasonings: |
| | nSmallSteps = 6
| | |
| | Equalized = 1
| | * The name sounds like its step counts of '''one''' large step and '''six''' small steps. |
| | Paucitonic = 0
| | * Onyxes come in different colors and types, which is a metaphor for this scale's generator range being quite large and containing the generator ranges of other MOS scales, such as [[7L 1s]], [[8L 1s]], and [[9L 1s]]. |
| | Pattern = sssLsss
| | * Building on the observation that it is the 7-note (heptatonic) MOS that is the ancestor of all xL 1s scales with x>6, the name "onyx" also sounds similar to "one x", as in 1 large step and x small steps. |
| | Neutral =
| | * The name "onyx" is also supposed to be vaguely reminiscent of "anti-archaeotonic" as "chi" (the greek letter) is written like an "x" (this is related to why "christmas" is abbreviated sometimes as "X-mas") and the letters "o" and "n" and their sounds are also present in "archaeotonic", and "x" is vaguely reminiscent of negation and multiplication. There is also something like a "y" sound in "archaeotonic" in the "aeo" part. |
| }} | | |
| | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
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| There is one notable low-harmonic-entropy scale with this '''1L 6s''' or '''antiarcheotonic''' [[MOS]] pattern: [[porcupine]], in which two generators make a [[6/5]] and three make a [[4/3]].
| | === Modes === |
| | {{MOS mode degrees}} |
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| |
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| Other scales include very improper (incomplete) versions of [[negri]], 12edo, etc.
| | == Theory == |
| | === Low harmonic entropy scales === |
| | There is one notable harmonic entropy minimum: [[porcupine]], in which the generator is between 150 and 170{{c}}, two generators make a [[6/5]] (315.6{{c}}), and three make a [[4/3]] (498{{c}}). |
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| |
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| == Scale tree == | | == Scale tree == |
| {| class="wikitable center-all" | | {{MOS tuning spectrum |
| ! colspan="6" rowspan="2" | Generator
| | | 11/8 = [[Porcupine]]/[[Porcupinefish]] |
| ! colspan="2" | Cents
| | | 11/7 = [[Hemikleismic]] |
| ! rowspan="2" | L
| | | 13/8 = Wilson Golden 1 (1042.4790¢) |
| ! rowspan="2" | s
| | | 7/4 = [[Nusecond]] |
| ! rowspan="2" | L/s
| | | 5/2 = [[Progression]] (incomplete) |
| ! rowspan="2" | Comments
| | | 13/5 = Golden [[jerome]] (1060.7571¢) |
| |-
| | | 7/2 = [[Negri]] (incomplete) |
| ! Chroma-positive
| | | 9/2 = [[Miracle]] (incomplete) |
| ! Chroma-negative
| | | 6/1 = [[Passion]], [[ripple]] (incomplete) |
| |-
| | }} |
| | 6\7 || || || || || || 1028.571 || 171.429 || 1 || 1 || 1.000 ||
| |
| |-
| |
| | || || || || || 31\36 || 1033.333 || 166.667 || 6 || 5 || 1.200 ||
| |
| |-
| |
| | || || || || 25\29 || || 1034.483 || 165.517 || 5 || 4 || 1.250 ||
| |
| |-
| |
| | || || || || || 44\51 || 1035.294 || 164.706 || 9 || 7 || 1.286 ||
| |
| |-
| |
| | || || || 19\22 || || || 1036.364 || 163.636 || 4 || 3 || 1.333 ||
| |
| |-
| |
| | || || || || || 51\59 || 1037.288 || 162.712 || 11 || 8 || 1.375 ||
| |
| |-
| |
| | || || || || 32\37 || || 1037.838 || 162.162 || 7 || 5 || 1.400 || Porcupine is in this region
| |
| |-
| |
| | || || || || || 45\52 || 1038.462 || 161.538 || 10 || 7 || 1.428 ||
| |
| |-
| |
| | || || 13\15 || || || || 1040.000 || 160.000 || 3 || 2 || 1.500 || L/s = 3/2
| |
| |-
| |
| | || || || || || 46\53 || 1041.509 || 158.491 || 11 || 7 || 1.571 || Hemikleismic
| |
| |- | |
| | || || || || 33\38 || || 1042.105 || 157.895 || 8 || 5 || 1.600 ||
| |
| |-
| |
| | || || || || || 53\61 || 1042.623 || 157.377 || 13 || 8 || 1.625 || Golden porcupine/hemikleismic (?)
| |
| |-
| |
| | || || || 20\23 || || || 1043.478 || 156.522 || 5 || 3 || 1.667 ||
| |
| |-
| |
| | || || || || || 47\54 || 1044.444 || 155.556 || 12 || 7 || 1.714 ||
| |
| |-
| |
| | || || || || 27\31 || || 1045.161 || 154.839 || 7 || 4 || 1.750 ||
| |
| |-
| |
| | || || || || || 34\39 || 1046.154 || 153.846 || 9 || 5 || 1.800 ||
| |
| |-
| |
| | || 7\8 || || || || || 1050.000 || 150.000 || 2 || 1 || 2.000 || Basic antiarcheotonic<br>(Generators smaller than this are proper)
| |
| |-
| |
| | || || || || || 29\33 || 1054.545 || 145.455 || 9 || 4 || 2.250 ||
| |
| |-
| |
| | || || || || 22\25 || || 1056.000 || 144.000 || 7 || 3 || 2.333 ||
| |
| |-
| |
| | || || || || || 37\42 || 1057.143 || 142.857 || 12 || 5 || 2.400 ||
| |
| |-
| |
| | || || || 15\17 || || || 1058.824 || 141.176 || 5 || 2 || 2.500 || Progression (incomplete)
| |
| |-
| |
| | || || || || || 38\43 || 1060.465 || 139.535 || 13 || 5 || 2.600 || Unnamed golden tuning
| |
| |-
| |
| | || || || || 23\26 || || 1061.538 || 138.462 || 8 || 3 || 2.667 ||
| |
| |-
| |
| | || || || || || 31\35 || 1062.857 || 137.143 || 11 || 4 || 2.750 ||
| |
| |-
| |
| | || || 8\9 || || || || 1066.667 || 133.333 || 3 || 1 || 3.000 || L/s = 3/1
| |
| |-
| |
| | || || || || || 25\28 || 1071.429 || 128.571 || 10 || 3 || 3.333 ||
| |
| |-
| |
| | || || || || 17\19 || || 1073.684 || 126.316 || 7 || 2 || 3.500 || Negri (incomplete)
| |
| |-
| |
| | || || || || || 26\29 || 1075.862 || 124.138 || 11 || 3 || 3.667 ||
| |
| |-
| |
| | || || || 9\10 || || || 1080.000 || 120.000 || 4 || 1 || 4.000 ||
| |
| |-
| |
| | || || || || || 19\21 || 1085.714 || 114.286 || 9 || 2 || 4.500 || Miracle (incomplete)
| |
| |-
| |
| | || || || || 10\11 || || 1090.909 || 109.091 || 5 || 1 || 5.000 ||
| |
| |-
| |
| | || || || || || 11\12 || 1100.000 || 100.000 || 6 || 1 || 6.000 || Passion, ripple (incomplete)
| |
| |-
| |
| | 1\1 || || || || || || 1200.000 || 0.000 || 1 || 0 || → inf ||
| |
| |}
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| [[Category:Scales]]
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| [[Category:MOS scales]]
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| [[Category:7-tone scales]] | | [[Category:7-tone scales]] |
| [[Category:Abstract MOS patterns]]
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| [[Category:Antiarcheotonic]]
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