1L 6s: Difference between revisions
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{{Infobox MOS | {{Infobox MOS}} | ||
{{MOS intro}} | |||
==Name== | |||
[[TAMNAMS]] suggests the temperament-agnostic name '''onyx''' for this scale. The name comes from ''a lot'' of naming puns and references, namely: | |||
*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]]. | |||
==Theory == | |||
===Low harmonic entropy scales=== | |||
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¢). | |||
== Modes == | ==Modes== | ||
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. | 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. | ||
{| class="wikitable" | {| class="wikitable" | ||
Line 34: | Line 33: | ||
|<nowiki>4|2</nowiki> | |<nowiki>4|2</nowiki> | ||
|zebrian | |zebrian | ||
|Bright minor | | Bright minor | ||
|- | |- | ||
|sssLsss | |sssLsss | ||
Line 41: | Line 40: | ||
|Symmetric minor | |Symmetric minor | ||
|- | |- | ||
|ssssLss | | ssssLss | ||
|<nowiki>2|4</nowiki> | |<nowiki>2|4</nowiki> | ||
|gazellian | |gazellian | ||
|Bright diminished | | Bright diminished | ||
|- | |- | ||
|sssssLs | |sssssLs | ||
Line 54: | Line 53: | ||
|<nowiki>0|6</nowiki> | |<nowiki>0|6</nowiki> | ||
|pandian | |pandian | ||
|Magical seventh | | Magical seventh | ||
|} | |} | ||
== Scale tree == | ==Scale tree== | ||
Generator ranges: | Generator ranges: | ||
* Chroma-positive generator: 1028.5714 cents (6\7) to 1200 cents (1\1) | * Chroma-positive generator: 1028.5714 cents (6\7) to 1200 cents (1\1) | ||
* Chroma-negative generator: 0 cents (0\1) to 171.4286 cents (1\7) | *Chroma-negative generator: 0 cents (0\1) to 171.4286 cents (1\7) | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! colspan="6" rowspan="2" | Generator <br><small>(Chroma-positive)</small> | ! colspan="6" rowspan="2" |Generator <br><small>(Chroma-positive)</small> | ||
! colspan="2" | Cents | ! colspan="2" |Cents | ||
! rowspan="2" | L | ! rowspan="2" |L | ||
! rowspan="2" | s | ! rowspan="2" | s | ||
! rowspan="2" | L/s | ! rowspan="2" | L/s | ||
! rowspan="2" | Comments | ! rowspan="2" |Comments | ||
|- | |- | ||
! <small>Chroma-positive</small> | !<small>Chroma-positive</small> | ||
! <small>Chroma-negative</small> | !<small>Chroma-negative</small> | ||
|- | |- | ||
| 6\7 || || || || || || 1028.571 || 171.429 || 1 || 1 || 1.000 || | | 6\7|| || || || || ||1028.571||171.429||1||1||1.000|| | ||
|- | |- | ||
| || || || || || 31\36 || 1033.333 || 166.667 || 6 || 5 || 1.200 || | | || || || || ||31\36||1033.333||166.667||6 || 5||1.200|| | ||
|- | |- | ||
| || || || || 25\29 || || 1034.483 || 165.517 || 5 || 4 || 1.250 || | | || || || ||25\29|| ||1034.483||165.517|| 5|| 4||1.250|| | ||
|- | |- | ||
| || || || || || 44\51 || 1035.294 || 164.706 || 9 || 7 || 1.286 || | | || || || || ||44\51||1035.294||164.706||9 || 7 || 1.286 || | ||
|- | |- | ||
| || || || 19\22 || || || 1036.364 || 163.636 || 4 || 3 || 1.333 || | | || || ||19\22 || || || 1036.364 || 163.636 || 4 || 3 || 1.333 || | ||
|- | |- | ||
| || || || || || 51\59 || 1037.288 || 162.712 || 11 || 8 || 1.375 || [[Porcupine]]/[[porcupinefish]] is around here | | || || || || || 51\59 || 1037.288 || 162.712 || 11 || 8 || 1.375 ||[[Porcupine]]/[[porcupinefish]] is around here | ||
|- | |- | ||
| || || || || 32\37 || || 1037.838 || 162.162 || 7 || 5 || 1.400 || | | || || || ||32\37|| || 1037.838 || 162.162||7||5 || 1.400 || | ||
|- | |- | ||
| || || || || || 45\52 || 1038.462 || 161.538 || 10 || 7 || 1.429 || | | || || || || ||45\52||1038.462||161.538 ||10|| 7||1.429|| | ||
|- | |- | ||
| || || 13\15 || || || || 1040.000 || 160.000 || 3 || 2 || 1.500 || | | || ||13\15|| || || ||1040.000||160.000||3||2||1.500|| | ||
|- | |- | ||
| || || || || || 46\53 || 1041.509 || 158.491 || 11 || 7 || 1.571 || [[Hemikleismic]] | | || || || || ||46\53||1041.509||158.491||11||7||1.571||[[Hemikleismic]] | ||
|- | |- | ||
| || || || || 33\38 || || 1042.105 || 157.895 || 8 || 5 || 1.600 || | | || || || ||33\38|| ||1042.105||157.895||8 ||5||1.600|| | ||
|- | |- | ||
| || || || || || 53\61 || 1042.623 || 157.377 || 13 || 8 || 1.625 || Wilson Golden 1 (1042.4790¢) | | || || || || ||53\61||1042.623||157.377 || 13||8|| 1.625||Wilson Golden 1 (1042.4790¢) | ||
|- | |- | ||
| || || || 20\23 || || || 1043.478 || 156.522 || 5 || 3 || 1.667 || | | || || || 20\23|| || ||1043.478||156.522||5||3||1.667 || | ||
|- | |- | ||
| || || || || || 47\54 || 1044.444 || 155.556 || 12 || 7 || 1.714 || | | || || || || ||47\54 || 1044.444 ||155.556||12||7||1.714|| | ||
|- | |- | ||
| || || || || 27\31 || || 1045.161 || 154.839 || 7 || 4 || 1.750 || [[Nusecond]] | | || || || ||27\31|| ||1045.161||154.839||7 || 4||1.750 ||[[Nusecond]] | ||
|- | |- | ||
| || || || || || 34\39 || 1046.154 || 153.846 || 9 || 5 || 1.800 || | | || || || || ||34\39||1046.154||153.846||9||5 || 1.800|| | ||
|- | |- | ||
| || 7\8 || || || || || 1050.000 || 150.000 || 2 || 1 || 2.000 || Basic onyx <br>(Generators smaller than this are proper) | | ||7\8|| || || || ||1050.000||150.000||2||1 ||2.000||Basic onyx <br>(Generators smaller than this are proper) | ||
|- | |- | ||
| || || || || || 29\33 || 1054.545 || 145.455 || 9 || 4 || 2.250 || | | || || || || || 29\33||1054.545||145.455||9||4||2.250|| | ||
|- | |- | ||
| || || || || 22\25 || || 1056.000 || 144.000 || 7 || 3 || 2.333 || | | || || || || 22\25 || || 1056.000 || 144.000||7||3||2.333|| | ||
|- | |- | ||
| || || || || || 37\42 || 1057.143 || 142.857 || 12 || 5 || 2.400 || | | || || || || || 37\42 || 1057.143 || 142.857||12||5||2.400|| | ||
|- | |- | ||
| || || || 15\17 || || || 1058.824 || 141.176 || 5 || 2 || 2.500 || [[Progression]] (incomplete) | | || || ||15\17 || || ||1058.824||141.176||5||2 || 2.500||[[Progression]] (incomplete) | ||
|- | |- | ||
| || || || || || 38\43 || 1060.465 || 139.535 || 13 || 5 || 2.600 || Golden [[jerome]] (1060.7571¢) | | || || || || || 38\43||1060.465||139.535||13||5||2.600||Golden [[jerome]] (1060.7571¢) | ||
|- | |- | ||
| || || || || 23\26 || || 1061.538 || 138.462 || 8 || 3 || 2.667 || | | || || || ||23\26|| ||1061.538||138.462 || 8||3||2.667|| | ||
|- | |- | ||
| || || || || || 31\35 || 1062.857 || 137.143 || 11 || 4 || 2.750 || | | || || || || ||31\35||1062.857|| 137.143||11||4||2.750|| | ||
|- | |- | ||
| || || 8\9 || || || || 1066.667 || 133.333 || 3 || 1 || 3.000 || | | || ||8\9|| || || ||1066.667||133.333||3||1 || 3.000|| | ||
|- | |- | ||
| || || || || || 25\28 || 1071.429 || 128.571 || 10 || 3 || 3.333 || | | || || || || ||25\28||1071.429|| 128.571||10||3||3.333|| | ||
|- | |- | ||
| || || || || 17\19 || || 1073.684 || 126.316 || 7 || 2 || 3.500 || [[Negri]] (incomplete) | | || || || ||17\19 || ||1073.684 ||126.316 ||7 ||2 ||3.500 ||[[Negri]] (incomplete) | ||
|- | |- | ||
| || || || || || 26\29 || 1075.862 || 124.138 || 11 || 3 || 3.667 || | | || || || || ||26\29|| 1075.862||124.138||11||3||3.667|| | ||
|- | |- | ||
| || || || 9\10 || || || 1080.000 || 120.000 || 4 || 1 || 4.000 || | | || || ||9\10 || || || 1080.000 ||120.000||4||1 ||4.000|| | ||
|- | |- | ||
| || || || || || 19\21 || 1085.714 || 114.286 || 9 || 2 || 4.500 || [[Miracle]] (incomplete) | | || || || || ||19\21||1085.714||114.286||9||2||4.500||[[Miracle]] (incomplete) | ||
|- | |- | ||
| || || || || 10\11 || || 1090.909 || 109.091 || 5 || 1 || 5.000 || | | || || || ||10\11|| ||1090.909||109.091||5||1||5.000|| | ||
|- | |- | ||
| || || || || || 11\12 || 1100.000 || 100.000 || 6 || 1 || 6.000 || [[Passion]], [[ripple]] (incomplete) | | || || || || ||11\12||1100.000||100.000||6||1||6.000||[[Passion]], [[ripple]] (incomplete) | ||
|- | |- | ||
| 1\1 || || || || || || 1200.000 || 0.000 || 1 || 0 || → inf || | |1\1|| || || || || ||1200.000||0.000||1||0||→ inf|| | ||
|} | |} | ||
[[Category:7-tone scales]] | [[Category:7-tone scales]] | ||
[[Category:Antiarcheotonic]] | [[Category:Antiarcheotonic]] |