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| {{Infobox MOS | | {{Infobox MOS}} |
| }} | |
| {{MOS intro}} | | {{MOS intro}} |
| 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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| 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.
| | == Name == |
| | [[TAMNAMS]] suggests the temperament-agnostic name '''machinoid''', from the [[temperament]] [[machine]]. |
| | |
| | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | === Proposed names === |
| | Names for the modes have been proposed by [https://twitter.com/Lilly__Flores/status/1702242780700098576 Lilly Flores]. |
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| Scales with this pattern are always [[Rothenberg propriety|proper]], because there is only one small step.
| | He noted the frequent use of this scale in 31EDO, and further pointed out that the monstrosity Mothra derives from a moth. It was also named using Hebrew, the language that would be geographically closest to Egyptian language, where the machine was first invented. Hence, these names are Hebrew for the time beginning with 'night' when moths fly around. |
| | {{MOS modes |
| | | Mode Names= |
| | Erev $ |
| | Oplen $Layla $ |
| | Shemesh $ |
| | Boqer $ |
| | Tsohorayim $ |
| | }} |
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| == Modes == | | == Theory == |
| * 5|0 LLLLLs
| | === Low harmonic entropy scales === |
| * 4|1 LLLLsL
| | 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. |
| * 3|2 LLLsLL
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| * 2|3 LLsLLL
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| * 1|4 LsLLLL
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| * 0|5 sLLLLL
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| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{MOS tuning spectrum |
| * Chroma-positive generator: 200 cents (1\6) to 240 cents (1\5)
| | | 6/5 = [[Quadrimage]] ↑ |
| * Chroma-negative generator: 960 cents (4\5) to 1000 cents (5\6)
| | | 13/8 = Golden [[machine]] (213.5979{{¢}}) |
| | | | 13/5 = Golden [[kumonga]] (222.9668{{¢}}) |
| {| class="wikitable center-all"
| | | 3/1 = [[Clyndro]] |
| ! colspan="6" | Generator
| | | 7/2 = [[Laconic]] |
| ! Cents
| | | 4/1 = [[Gorgo]] |
| !Remainder
| | | 5/1 = [[Gidorah]] |
| ! L
| | | 6/1 = [[Slendric]] ↓ |
| ! s
| | }} |
| ! L/s
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| ! Comments
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| |-
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| | 1\6 || || || || || || 200.000
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| |200.000|| 1 || 1 || 1.000 ||
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| |-
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| | || || || || || 6\35 || 205.714
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| |171.429|| 6 || 5 || 1.200 || [[Quadrimage]]↑
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| |-
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| | || || || || 5\29 || || 206.897
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| |165.517|| 5 || 4 || 1.250 ||
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| |-
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| | || || || || || 9\52 || 207.692
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| |161.538|| 9 || 7 || 1.286 ||
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| |-
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| | || || || 4\23 || || || 208.696
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| |156.521|| 4 || 3 || 1.333 ||
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| |-
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| | || || || || || 11\63 || 209.524
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| |152.381|| 11 || 8 || 1.375 ||
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| |-
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| | || || || || 7\40 || || 210.000
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| |150.000|| 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 10\57 || 210.528
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| |147.368|| 10 || 7 || 1.429 ||
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| |-
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| | || || 3\17 || || || || 211.765
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| |141.118|| 3 || 2 || 1.500 ||
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| |-
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| | || || || || || 11\62 || 212.903
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| |135.484|| 11 || 7 || 1.571 ||
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| |-
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| | || || || || 8\45 || || 213.333
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| |133.333|| 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 13\73 || 213.699
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| |131.507|| 13 || 8 || 1.625 || Golden [[machine]] (213.5979¢)
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| |-
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| | || || || 5\28 || || || 214.286
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| |128.571|| 5 || 3 || 1.667 || Machine
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| |-
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| | || || || || || 12\67 || 214.925
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| |125.373|| 12 || 7 || 1.714 ||
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| |-
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| | || || || || 7\39 || || 215.385
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| |123.077|| 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 9\50 || 216.000
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| |120.000|| 9 || 5 || 1.800 ||
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| |-
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| | || 2\11 || || || || || 218.182
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| |109.091|| 2 || 1 || 2.000 || Basic machinoid
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| |-
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| | || || || || || 9\49 || 220.408
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| |97.959|| 9 || 4 || 2.250 ||
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| |-
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| | || || || || 7\38 || || 221.053
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| |94.737|| 7 || 3 || 2.333 ||
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| |-
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| | || || || || || 12\65 || 221.538
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| |92.308|| 12 || 5 || 2.400 ||
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| |-
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| | || || || 5\27 || || || 222.222
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| |88.889|| 5 || 2 || 2.500 ||
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| |-
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| | || || || || || 13\70 || 222.857
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| |85.714|| 13 || 5 || 2.600 || Golden [[kumonga]] (222.9668¢)
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| |-
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| | || || || || 8\43 || || 223.256
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| |83.721|| 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 11\59 || 223.729
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| |81.356|| 11 || 4 || 2.750 ||
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| |-
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| | || || 3\16 || || || || 224.000
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| |75.000|| 3 || 1 || 3.000 || [[Clyndro]]
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| |-
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| | || || || || || 10\53 || 226.415
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| |67.925|| 10 || 3 || 3.333 ||
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| |-
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| | || || || || 7\37 || || 227.027
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| |64.865|| 7 || 2 || 3.500 || [[Laconic]]
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| |-
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| | || || || || || 11\58 || 227.586
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| |62.069|| 11 || 3 || 3.667 ||
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| |-
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| | || || || 4\21 || || || 228.571
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| |57.143|| 4 || 1 || 4.000 || [[Gorgo]]
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| |-
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| | || || || || || 9\47 || 229.787
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| |51.064|| 9 || 2 || 4.500 ||
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| |-
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| | || || || || 5\26 || || 230.769
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| |46.154|| 5 || 1 || 5.000 || [[Gidorah]]
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| |-
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| | || || || || || 6\31 || 232.258
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| |38.710|| 6 || 1 || 6.000 || [[Slendric]]↓
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| |-
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| | 1\5 || || || || || || 240.000
| |
| |0.000|| 1 || 0 || → inf ||
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| |}
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| [[Category:6-tone scales]] | | [[Category:6-tone scales]] |
| [[Category:machinoid]] | | [[Category:machinoid]] |