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| | Pattern = Lsss | | | Pattern = Lsss |
| }} | | }} |
| | {{MOS intro|Other Names=antetric}} |
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| {{MOS intro}} | | In South Africa, the [[African music|San]] use a [[tetrad|tetratonic]] scale which can be approximated by basic 1L 3s.<ref>Wikipedia contributors. (2022, November 21). Tetratonic scale. In Wikipedia, The Free Encyclopedia. Retrieved 09:40, August 13, 2024, from https://en.wikipedia.org/w/index.php?title=Tetratonic_scale&oldid=1123114247</ref> |
| == Modes == | | |
| | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| {{MOS mode degrees}} | | {{MOS mode degrees}} |
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| |
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| == Scale tree == | | == Scale tree == |
| Generator ranges: | | Generator ranges: |
| * Chroma-positive generator: 900 cents (3\4) to 1200 cents (1\1) | | * Chroma-positive generator: 900{{c}} (3\4) to 1200{{c}} (1\1) |
| * Chroma-negative generator: 0 cents (0\1) to 300 cents (1\4) | | * Chroma-negative generator: 0{{c}} (0\1) to 300{{c}} (1\4) |
| | |
| | {{MOS tuning spectrum |
| | | 10/7 = [[Orson]]/[[Orwell]] |
| | | 9/5 = [[Godzilla]] |
| | | 9/4 = [[Laconic]]/[[gorgo]] |
| | | 13/5 = Unnamed golden tuning (213.5979{{c}}) |
| | | 10/3 = [[Isra]]/[[deutone]] |
| | | 9/2 = [[Porcupine]] |
| | }} |
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| |
|
| {| class="wikitable center-all"
| | == Sources == |
| ! colspan="6" | Small step <br><span style="font-size:0.85em">(Chroma-negative generator)</span>
| | <references /> |
| ! Cents
| |
| ! L
| |
| ! s
| |
| ! L/s
| |
| ! Comments
| |
| |-
| |
| | 1\4 || || || || || || 300.000 || 1 || 1 || 1.000 ||
| |
| |-
| |
| | || || || || || 5\21 || 285.714 || 6 || 5 || 1.200 ||
| |
| |-
| |
| | || || || || 4\17 || || 282.353 || 5 || 4 || 1.250 ||
| |
| |-
| |
| | || || || || || 7\30 || 280.000 || 9 || 7 || 1.286 ||
| |
| |-
| |
| | || || || 3\13 || || || 276.923 || 4 || 3 || 1.333 ||
| |
| |-
| |
| | || || || || || 8\35 || 274.286 || 11 || 8 || 1.375 ||
| |
| |-
| |
| | || || || || 5\22 || || 272.727 || 7 || 5 || 1.400 ||
| |
| |-
| |
| | || || || || || 7\31 || 270.968 || 10 || 7 || 1.429 || [[Orson]]/[[Orwell]]
| |
| |-
| |
| | || || 2\9 || || || || 266.667 || 3 || 2 || 1.500 ||
| |
| |-
| |
| | || || || || || 7\32 || 262.500 || 11 || 7 || 1.571 ||
| |
| |-
| |
| | || || || || 5\23 || || 260.870 || 8 || 5 || 1.600 ||
| |
| |-
| |
| | || || || || || 8\37 || 259.459 || 13 || 8 || 1.625 || Unnamed golden tuning (259.8508¢)
| |
| |-
| |
| | || || || 3\14 || || || 257.143 || 5 || 3 || 1.667 ||
| |
| |-
| |
| | || || || || || 7\33 || 254.545 || 12 || 7 || 1.714 ||
| |
| |-
| |
| | || || || || 4\19 || || 252.632 || 7 || 4 || 1.750 ||
| |
| |-
| |
| | || || || || || 5\24 || 250.000 || 9 || 5 || 1.800 || [[Godzilla]]
| |
| |-
| |
| | || 1\5 || || || || || 240.000 || 2 || 1 || 2.000 || Basic 1L 3s <br>(Small steps larger than this are proper)
| |
| |-
| |
| | || || || || || 4\21 || 228.571 || 9 || 4 || 2.250 || [[Laconic]]/[[gorgo]]
| |
| |-
| |
| | || || || || 3\16 || || 225.000 || 7 || 3 || 2.333 ||
| |
| |-
| |
| | || || || || || 5\27 || 222.222 || 12 || 5 || 2.400 ||
| |
| |-
| |
| | || || || 2\11 || || || 218.182 || 5 || 2 || 2.500 ||
| |
| |-
| |
| | || || || || || 5\28 || 214.286 || 13 || 5 || 2.600 || Unnamed golden tuning (213.5979¢)
| |
| |-
| |
| | || || || || 3\17 || || 211.765 || 8 || 3 || 2.667 ||
| |
| |-
| |
| | || || || || || 4\23 || 208.696 || 11 || 4 || 2.750 ||
| |
| |-
| |
| | || || 1\6 || || || || 200.000 || 3 || 1 || 3.000 ||
| |
| |-
| |
| | || || || || || 3\19 || 189.474 || 10 || 3 || 3.333 || [[Isra]]/[[deutone]]
| |
| |-
| |
| | || || || || 2\13 || || 184.615 || 7 || 2 || 3.500 ||
| |
| |-
| |
| | || || || || || 3\20 || 180.000 || 11 || 3 || 3.667 ||
| |
| |-
| |
| | || || || 1\7 || || || 171.429 || 4 || 1 || 4.000 ||
| |
| |-
| |
| | || || || || || 2\15 || 160.000 || 9 || 2 || 4.500 || [[Porcupine]]
| |
| |-
| |
| | || || || || 1\8 || || 150.000 || 5 || 1 || 5.000 ||
| |
| |-
| |
| | || || || || || 1\9 || 133.333 || 6 || 1 || 6.000 ||
| |
| |-
| |
| | 0\1 || || || || || || 0.000 || 1 || 0 || → inf ||
| |
| |}
| |
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| |
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| | {{todo|inline=1|expand}} |
| [[Category:Tetrad]] | | [[Category:Tetrad]] |
| [[Category:4-tone scales]] | | [[Category:4-tone scales]] |