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| {{Infobox MOS}} | | {{Infobox MOS}} |
| {{MOS intro}} | | {{MOS intro}} |
| ==Name== | | == Name == |
| [[TAMNAMS]] suggests the temperament-agnostic name '''onyx''' for this scale. The name comes from ''a lot'' of naming puns and references, namely:
| | {{TAMNAMS name}} The name derives from several naming puns/reasonings: |
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| *The name sounds like its step counts of '''one''' large step and '''six''' small steps. | | * The name sounds like its step counts of '''one''' large step and '''six''' small steps. |
| *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]]. | | * 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]]. |
| | * 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. |
| | * 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. |
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| ==Theory == | | == Scale properties == |
| | {{TAMNAMS use}} |
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| ===Low harmonic entropy scales=== | | === Intervals === |
| There is one notable harmonic entropy minimum: [[porcupine]], in which the generator is around 150¢ to 170¢, two generators make a [[6/5]] (315.6¢), and three make a [[4/3]] (498¢).
| | {{MOS intervals}} |
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| ==Modes== | | === Generator chain === |
| Mode names are from [[Porcupine Temperament Modal Harmony|Porcupine temperament modal harmony]], proposed by [[William Lynch]]. Descriptive mode names reference the page's original descriptions of the modes.
| | {{MOS genchain}} |
| {| class="wikitable" | |
| !Mode
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| !UDP
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| !Mode name
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| !Descriptive mode name
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| |-
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| |Lssssss
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| |<nowiki>6|0</nowiki>
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| |chinchillian
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| |Bright major
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| |-
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| |sLsssss
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| |<nowiki>5|1</nowiki>
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| |badgerian
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| |Dark major
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| |-
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| |ssLssss
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| |<nowiki>4|2</nowiki>
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| |zebrian
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| | Bright minor
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| |-
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| |sssLsss
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| |<nowiki>3|3</nowiki>
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| |dingoian
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| |Symmetric minor
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| |-
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| | ssssLss
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| |<nowiki>2|4</nowiki>
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| |gazellian
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| | Bright diminished
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| |-
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| |sssssLs
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| |<nowiki>1|5</nowiki>
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| |lemurian
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| |Dark diminished
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| |-
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| |ssssssL
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| |<nowiki>0|6</nowiki>
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| |pandian
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| | Magical seventh
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| |}
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| ==Scale tree== | | === Modes === |
| Generator ranges:
| | {{MOS mode degrees}} |
| * Chroma-positive generator: 1028.5714 cents (6\7) to 1200 cents (1\1)
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| *Chroma-negative generator: 0 cents (0\1) to 171.4286 cents (1\7)
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| {| class="wikitable center-all"
| | == Theory == |
| ! colspan="6" rowspan="2" |Generator <br><small>(Chroma-positive)</small>
| | === Low harmonic entropy scales === |
| ! colspan="2" |Cents
| | 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}}). |
| ! rowspan="2" |L
| | |
| ! rowspan="2" | s
| | == Scale tree == |
| ! rowspan="2" | L/s
| | {{MOS tuning spectrum |
| ! rowspan="2" |Comments
| | | 11/8 = [[Porcupine]]/[[Porcupinefish]] |
| |-
| | | 11/7 = [[Hemikleismic]] |
| !<small>Chroma-positive</small>
| | | 13/8 = Wilson Golden 1 (1042.4790¢) |
| !<small>Chroma-negative</small>
| | | 7/4 = [[Nusecond]] |
| |-
| | | 5/2 = [[Progression]] (incomplete) |
| | 6\7|| || || || || ||1028.571||171.429||1||1||1.000||
| | | 13/5 = Golden [[jerome]] (1060.7571¢) |
| |-
| | | 7/2 = [[Negri]] (incomplete) |
| | || || || || ||31\36||1033.333||166.667||6 || 5||1.200||
| | | 9/2 = [[Miracle]] (incomplete) |
| |-
| | | 6/1 = [[Passion]], [[ripple]] (incomplete) |
| | || || || ||25\29|| ||1034.483||165.517|| 5|| 4||1.250||
| | }} |
| |-
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| | || || || || ||44\51||1035.294||164.706||9 || 7 || 1.286 ||
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| |-
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| | || || ||19\22 || || || 1036.364 || 163.636 || 4 || 3 || 1.333 ||
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| |-
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| | || || || || || 51\59 || 1037.288 || 162.712 || 11 || 8 || 1.375 ||[[Porcupine]]/[[porcupinefish]] is around here
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| |-
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| | || || || ||32\37|| || 1037.838 || 162.162||7||5 || 1.400 ||
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| |-
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| | || || || || ||45\52||1038.462||161.538 ||10|| 7||1.429||
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| |-
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| | || ||13\15|| || || ||1040.000||160.000||3||2||1.500||
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| |-
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| | || || || || ||46\53||1041.509||158.491||11||7||1.571||[[Hemikleismic]]
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| |-
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| | || || || ||33\38|| ||1042.105||157.895||8 ||5||1.600||
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| |-
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| | || || || || ||53\61||1042.623||157.377 || 13||8|| 1.625||Wilson Golden 1 (1042.4790¢)
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| |-
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| | || || || 20\23|| || ||1043.478||156.522||5||3||1.667 ||
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| |-
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| | || || || || ||47\54 || 1044.444 ||155.556||12||7||1.714||
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| |-
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| | || || || ||27\31|| ||1045.161||154.839||7 || 4||1.750 ||[[Nusecond]]
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| |-
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| | || || || || ||34\39||1046.154||153.846||9||5 || 1.800||
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| |-
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| | ||7\8|| || || || ||1050.000||150.000||2||1 ||2.000||Basic onyx <br>(Generators smaller than this are proper)
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| |-
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| | || || || || || 29\33||1054.545||145.455||9||4||2.250||
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| |-
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| | || || || || 22\25 || || 1056.000 || 144.000||7||3||2.333||
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| |-
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| | || || || || || 37\42 || 1057.143 || 142.857||12||5||2.400||
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| |-
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| | || || ||15\17 || || ||1058.824||141.176||5||2 || 2.500||[[Progression]] (incomplete)
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| |-
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| | || || || || || 38\43||1060.465||139.535||13||5||2.600||Golden [[jerome]] (1060.7571¢)
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| |-
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| | || || || ||23\26|| ||1061.538||138.462 || 8||3||2.667||
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| |-
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| | || || || || ||31\35||1062.857|| 137.143||11||4||2.750||
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| |-
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| | || ||8\9|| || || ||1066.667||133.333||3||1 || 3.000||
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| |-
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| | || || || || ||25\28||1071.429|| 128.571||10||3||3.333||
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| |-
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| | || || || ||17\19 || ||1073.684 ||126.316 ||7 ||2 ||3.500 ||[[Negri]] (incomplete)
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| |-
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| | || || || || ||26\29|| 1075.862||124.138||11||3||3.667||
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| |-
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| | || || ||9\10 || || || 1080.000 ||120.000||4||1 ||4.000||
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| |-
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| | || || || || ||19\21||1085.714||114.286||9||2||4.500||[[Miracle]] (incomplete)
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| |-
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| | || || || ||10\11|| ||1090.909||109.091||5||1||5.000||
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| |-
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| | || || || || ||11\12||1100.000||100.000||6||1||6.000||[[Passion]], [[ripple]] (incomplete)
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| |-
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| |1\1|| || || || || ||1200.000||0.000||1||0||→ inf||
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| |}
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| [[Category:7-tone scales]] | | [[Category:7-tone scales]] |
| [[Category:Antiarcheotonic]]
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