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| Line 4: |
Line 4: |
| This scale can be seen as the equal-tempered whole-tone scale ([[6edo]]), but with one "whole tone" that is smaller than the others. | | This scale can be seen as the equal-tempered whole-tone scale ([[6edo]]), but with one "whole tone" that is smaller than the others. |
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| | Scales with this pattern are always [[Rothenberg propriety|proper]], because there is only one small step. |
| | |
| | == Name == |
| | [[TAMNAMS]] suggests the temperament-agnostic name '''machinoid''', from [[machine]] temperament. |
| | |
| | == Theory == |
| | |
| | === Low harmonic entropy scales === |
| The only notable low-harmonic-entropy scale with this MOS pattern is [[Gamelismic clan #Slendric|slendric]], in which the large step is 8/7 and three of them make a 3/2. | | The only notable low-harmonic-entropy scale with this MOS pattern is [[Gamelismic clan #Slendric|slendric]], in which the large step is 8/7 and three of them make a 3/2. |
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| |
| Scales with this pattern are always [[Rothenberg propriety|proper]], because there is only one small step.
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| == Modes == | | == Modes == |
| Line 15: |
Line 21: |
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| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{Scale tree|Comments=6/5: [[Quadrimage]]↑; |
| * Chroma-positive generator: 200 cents (1\6) to 240 cents (1\5)
| | 13/8: Golden [[machine]] (213.5979¢); |
| * Chroma-negative generator: 960 cents (4\5) to 1000 cents (5\6)
| | 13/5: Golden [[kumonga]] (222.9668¢); |
| | | 3/1: [[Clyndro]]; |
| {| class="wikitable center-all" | | 7/2: [[Laconic]]; |
| ! colspan="6" | Generator
| | 4/1: [[Gorgo]]; |
| ! Cents
| | 5/1: [[Gidorah]]; |
| !Remainder
| | 6/1: [[Slendric]]↓}} |
| ! L
| |
| ! s
| |
| ! L/s
| |
| ! Comments
| |
| |-
| |
| | 1\6 || || || || || || 200.000
| |
| |200.000|| 1 || 1 || 1.000 ||
| |
| |-
| |
| | || || || || || 6\35 || 205.714
| |
| |171.429|| 6 || 5 || 1.200 || [[Quadrimage]]↑
| |
| |-
| |
| | || || || || 5\29 || || 206.897
| |
| |165.517|| 5 || 4 || 1.250 ||
| |
| |-
| |
| | || || || || || 9\52 || 207.692
| |
| |161.538|| 9 || 7 || 1.286 ||
| |
| |-
| |
| | || || || 4\23 || || || 208.696
| |
| |156.521|| 4 || 3 || 1.333 ||
| |
| |-
| |
| | || || || || || 11\63 || 209.524
| |
| |152.381|| 11 || 8 || 1.375 ||
| |
| |-
| |
| | || || || || 7\40 || || 210.000
| |
| |150.000|| 7 || 5 || 1.400 ||
| |
| |-
| |
| | || || || || || 10\57 || 210.528
| |
| |147.368|| 10 || 7 || 1.429 ||
| |
| |-
| |
| | || || 3\17 || || || || 211.765
| |
| |141.118|| 3 || 2 || 1.500 ||
| |
| |-
| |
| | || || || || || 11\62 || 212.903
| |
| |135.484|| 11 || 7 || 1.571 ||
| |
| |-
| |
| | || || || || 8\45 || || 213.333
| |
| |133.333|| 8 || 5 || 1.600 ||
| |
| |-
| |
| | || || || || || 13\73 || 213.699
| |
| |131.507|| 13 || 8 || 1.625 || Golden [[machine]] (213.5979¢)
| |
| |-
| |
| | || || || 5\28 || || || 214.286
| |
| |128.571|| 5 || 3 || 1.667 || Machine
| |
| |-
| |
| | || || || || || 12\67 || 214.925
| |
| |125.373|| 12 || 7 || 1.714 ||
| |
| |-
| |
| | || || || || 7\39 || || 215.385
| |
| |123.077|| 7 || 4 || 1.750 ||
| |
| |-
| |
| | || || || || || 9\50 || 216.000
| |
| |120.000|| 9 || 5 || 1.800 ||
| |
| |-
| |
| | || 2\11 || || || || || 218.182
| |
| |109.091|| 2 || 1 || 2.000 || Basic machinoid
| |
| |-
| |
| | || || || || || 9\49 || 220.408
| |
| |97.959|| 9 || 4 || 2.250 ||
| |
| |-
| |
| | || || || || 7\38 || || 221.053
| |
| |94.737|| 7 || 3 || 2.333 ||
| |
| |-
| |
| | || || || || || 12\65 || 221.538
| |
| |92.308|| 12 || 5 || 2.400 ||
| |
| |-
| |
| | || || || 5\27 || || || 222.222
| |
| |88.889|| 5 || 2 || 2.500 ||
| |
| |-
| |
| | || || || || || 13\70 || 222.857
| |
| |85.714|| 13 || 5 || 2.600 || Golden [[kumonga]] (222.9668¢)
| |
| |-
| |
| | || || || || 8\43 || || 223.256
| |
| |83.721|| 8 || 3 || 2.667 ||
| |
| |-
| |
| | || || || || || 11\59 || 223.729
| |
| |81.356|| 11 || 4 || 2.750 ||
| |
| |-
| |
| | || || 3\16 || || || || 224.000
| |
| |75.000|| 3 || 1 || 3.000 || [[Clyndro]]
| |
| |-
| |
| | || || || || || 10\53 || 226.415
| |
| |67.925|| 10 || 3 || 3.333 ||
| |
| |-
| |
| | || || || || 7\37 || || 227.027
| |
| |64.865|| 7 || 2 || 3.500 || [[Laconic]]
| |
| |-
| |
| | || || || || || 11\58 || 227.586
| |
| |62.069|| 11 || 3 || 3.667 ||
| |
| |-
| |
| | || || || 4\21 || || || 228.571
| |
| |57.143|| 4 || 1 || 4.000 || [[Gorgo]]
| |
| |-
| |
| | || || || || || 9\47 || 229.787
| |
| |51.064|| 9 || 2 || 4.500 ||
| |
| |-
| |
| | || || || || 5\26 || || 230.769
| |
| |46.154|| 5 || 1 || 5.000 || [[Gidorah]]
| |
| |-
| |
| | || || || || || 6\31 || 232.258
| |
| |38.710|| 6 || 1 || 6.000 || [[Slendric]]↓
| |
| |-
| |
| | 1\5 || || || || || || 240.000
| |
| |0.000|| 1 || 0 || → inf ||
| |
| |}
| |
| | |
| [[Category:6-tone scales]] | | [[Category:6-tone scales]] |
| [[Category:machinoid]] | | [[Category:machinoid]] |