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| {{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
| | {{Infobox MOS}} |
| {{MOS intro}} | | {{MOS intro}} |
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| This MOS achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators). | | This MOS achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators). |
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| == Modes == | | == Scale properties == |
| * 10|0 Lssssssssss
| | {{TAMNAMS use}} |
| * 9|1 sLsssssssss
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| * 8|2 ssLssssssss
| | === Intervals === |
| * 7|3 sssLsssssss
| | {{MOS intervals}} |
| * 6|4 ssssLssssss
| | |
| * 5|5 sssssLsssss
| | === Generator chain === |
| * 4|6 ssssssLssss
| | {{MOS genchain}} |
| * 3|7 sssssssLsss
| | |
| * 2|8 ssssssssLss
| | === Modes === |
| * 1|9 sssssssssLs
| | {{MOS mode degrees}} |
| * 0|10 ssssssssssL
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| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{MOS tuning spectrum |
| * Chroma-positive generator: 1090.9091 cents (10\11) to 1200 cents (1\1)
| | | 10/7 = [[Septendesemi]] |
| * Chroma-negative generator: 0 cents (0\1) to 109.0909 cents (1\11)
| | | 13/8 = Golden [[ripple]] (103.288{{c}}) |
| | | | 9/4 = [[Passion]] |
| {| class="wikitable center-all" | | | 13/5 = Unnamed golden tuning |
| ! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span>
| | | 11/3 = [[Octacot]] |
| ! Cents
| | | 4/1 = [[Nuke]] |
| ! L
| | | 9/2 = [[Nautilus]] |
| ! s
| | | 5/1 = [[Valentine]] |
| ! L/s
| | | 6/1 = ↓ [[Slurpee]] |
| ! Comments
| | }} |
| |-
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| | 1\11 || || || || || || 109.091 || 1 || 1 || 1.000 ||
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| |-
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| | || || || || || 5\56 || 107.143 || 6 || 5 || 1.200 ||
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| |-
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| | || || || || 4\45 || || 106.667 || 5 || 4 || 1.250 ||
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| |-
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| | || || || || || 7\79 || 106.329 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 3\34 || || || 105.882 || 4 || 3 || 1.333 ||
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| |-
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| | || || || || || 8\91 || 105.495 || 11 || 8 || 1.375 ||
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| |-
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| | || || || || 5\57 || || 105.263 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 7\80 || 105.000 || 10 || 7 || 1.429 || [[Septendesemi]]
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| |-
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| | || || 2\23 || || || || 104.348 || 3 || 2 || 1.500 ||
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| |-
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| | || || || || || 7\81 || 103.704 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 5\58 || || 103.448 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 8\93 || 103.226 || 13 || 8 || 1.625 || Golden [[ripple]] (103.2877¢)
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| |-
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| | || || || 3\35 || || || 102.857 || 5 || 3 || 1.667 ||
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| |-
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| | || || || || || 7\82 || 102.439 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 4\47 || || 102.128 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 5\59 || 101.695 || 9 || 5 || 1.800 ||
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| | || 1\12 || || || || || 100.000 || 2 || 1 || 2.000 || Basic 1L 10s <br>(small steps larger than this are proper)
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| | || || || || || 4\49 || 97.959 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 3\37 || || 97.297 || 7 || 3 || 2.333 || [[Passion]]
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| | || || || || || 5\62 || 96.774 || 12 || 5 || 2.400 ||
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| | || || || 2\25 || || || 96.000 || 5 || 2 || 2.500 ||
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| | || || || || || 5\63 || 95.238 || 13 || 5 || 2.600 || Unnamed golden tuning (95.102¢)
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| | || || || || 3\38 || || 94.737 || 8 || 3 || 2.667 ||
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| | || || || || || 4\51 || 94.118 || 11 || 4 || 2.750 ||
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| | || || 1\13 || || || || 92.308 || 3 || 1 || 3.000 ||
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| | || || || || || 3\40 || 90.000 || 10 || 3 || 3.333 ||
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| | || || || || 2\27 || || 88.889 || 7 || 2 || 3.500 ||
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| | || || || || || 3\41 || 87.805 || 11 || 3 || 3.667 || [[Octacot]]
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| | || || || 1\14 || || || 85.714 || 4 || 1 || 4.000 ||
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| | || || || || || 2\29 || 82.759 || 9 || 2 || 4.500 ||
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| | || || || || 1\15 || || 80.000 || 5 || 1 || 5.000 || [[Valentine]]
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| | || || || || || 1\16 || 75.000 || 6 || 1 || 6.000 ||
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| | 0\1 || || || || || || 0.000 || 1 || 0 || → inf ||
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| |}
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| [[Category:11-tone scales]] | | [[Category:11-tone scales]] |