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| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 1 | | {{MOS intro|Other Names=m-enharmonic}} |
| | nLargeSteps = 12
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| | nSmallSteps = 7
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| | Equalized = 11
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| | Paucitonic = 7
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| | Pattern = LLsLLsLLsLsLLsLLsLs
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| }} | |
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| '''12L 7s''' is the MOS pattern of the [[meantone]] enharmonic or mega-chromatic scale. This MOS separates its small steps by intervals of 2L-2L-2L-1L-2L-2L-1L like the familiar [[12edo]] diatonic scale. The perfect fifth which generates it measures 11\19 (694.737 cents) to 7\12 (700 cents).
| | Essentially the entire range of this scale is spanned by various tunings of [[meantone]], as the meantone enharmonic scale. |
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| The meantone mega-chromatic scale with generator between 11\19 (694.737 cents) and 18\31 (696.774 cents) is [[Rothenberg propriety|proper]].
| | == Scale properties == |
| | {{TAMNAMS use}} |
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| == Modes == | | === Intervals === |
| * 18|0 LLsLLsLLsLsLLsLLsLs
| | {{MOS intervals}} |
| * 17|1 LLsLLsLsLLsLLsLLsLs
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| * 16|2 LLsLLsLsLLsLLsLsLLs
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| * 15|3 LLsLsLLsLLsLLsLsLLs
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| * 14|4 LLsLsLLsLLsLsLLsLLs
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| * 13|5 LsLLsLLsLLsLsLLsLLs
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| * 12|6 LsLLsLLsLsLLsLLsLLs
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| * 11|7 LsLLsLLsLsLLsLLsLsL
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| * 10|8 LsLLsLsLLsLLsLLsLsL
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| * 9|9 LsLLsLsLLsLLsLsLLsL
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| * 8|10 LsLsLLsLLsLLsLsLLsL
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| * 7|11 LsLsLLsLLsLsLLsLLsL
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| * 6|12 sLLsLLsLLsLsLLsLLsL
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| * 5|13 sLLsLLsLsLLsLLsLLsL
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| * 4|14 sLLsLLsLsLLsLLsLsLL
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| * 3|15 sLLsLsLLsLLsLLsLsLL
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| * 2|16 sLLsLsLLsLLsLsLLsLL
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| * 1|17 sLsLLsLLsLLsLsLLsLL
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| * 0|18 sLsLLsLLsLsLLsLLsLL
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| == Scale tree == | | === Generator chain === |
| Chroma-positive generator: 694.7368 cents (11\19) to 700 cents (7\12)
| | {{MOS genchain}} |
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| Chroma-negative generator: 500 cents (5\12) to 505.2632 cents (8\19)
| | === Modes === |
| | {{MOS mode degrees}} |
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| {| class="wikitable center-all"
| | == Scale tree == |
| ! colspan="6" | Generator
| | {{MOS tuning spectrum |
| ! Cents
| | | 13/8 = [[Golden meantone]] (696.2145¢); |
| ! L
| | | 5/3 = [[Meantone]] / [[meanpop]]; |
| ! s
| | | 7/3 = Meantone / [[huygens]]; |
| ! L/s
| | | 5/2 = Meantone / huygens / [[grosstone]]; |
| ! Comments
| | | 13/5 = Golden grosstone (697.3969¢); |
| |- | | | 3/1 = Meantone / [[meridetone]] |
| | 11\19 || || || || || || 694.737 || 1 || 1 || 1.000 ||
| | }} |
| |-
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| | || || || || || 62\107 || 695.327 || 6 || 5 || 1.200 ||
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| |-
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| | || || || || 51\88 || || 695.455 || 5 || 4 || 1.250 ||
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| |-
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| | || || || || || 91\157 || 695.541 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 40\69 || || || 695.652 || 4 || 3 || 1.333 ||
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| |-
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| | || || || || || 109\188 || 695.745 || 11 || 8 || 1.375 ||
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| |-
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| | || || || || 69\119 || || 695.798 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 98\169 || 695.858 || 10 || 7 || 1.428 ||
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| |-
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| | || || 29\50 || || || || 696.000 || 3 || 2 || 1.500 || [[Meantone]] / [[Meanpop]]
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| |-
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| | || || || || || 105\181 || 696.133 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 76\131 || || 696.183 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 123\212 || 696.226 || 13 || 8 || 1.625 || [[Golden meantone]] (696.2145¢)
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| |-
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| | || || || 47\81 || || || 696.296 || 5 || 3 || 1.667 || Meantone / Meanpop
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| |-
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| | || || || || || 112\193 || 696.373 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 65\112 || || 696.429 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 83\143 || 696.503 || 9 || 5 || 1.800 ||
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| |-
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| | || 18\31 || || || || || 696.774 || 2 || 1 || 2.000 || Basic 12L 7s <br>(Generators smaller than this are proper)
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| |-
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| | || || || || || 79\136 || 697.059 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 61\105 || || 697.143 || 7 || 3 || 2.333 || Meantone / [[Huygens]]
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| |-
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| | || || || || || 104\179 || 697.207 || 12 || 5 || 2.400 ||
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| |-
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| | || || || 43\74 || || || 697.297 || 5 || 2 || 2.500 || Meantone / Huygens / [[Grosstone]]
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| |-
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| | || || || || || 111\191 || 697.382 || 13 || 5 || 2.600 || Golden grosstone (697.3969¢)
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| |-
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| | || || || || 68\117 || || 697.436 || 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 93\160 || 697.500 || 11 || 4 || 2.750 ||
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| |-
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| | || || 25\43 || || || || 697.674 || 3 || 1 || 3.000 || Meantone / [[Meridetone]]
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| |-
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| | || || || || || 82\141 || 697.872 || 10 || 3 || 3.333 ||
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| |-
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| | || || || || 57\98 || || 697.959 || 7 || 2 || 3.500 ||
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| | || || || || || 89\153 || 698.039 || 11 || 3 || 3.667 ||
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| | || || || 32\55 || || || 698.182 || 4 || 1 || 4.000 ||
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| | || || || || || 71\122 || 698.361 || 9 || 2 || 4.500 ||
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| | || || || || 39\67 || || 698.507 || 5 || 1 || 5.000 ||
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| |-
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| | || || || || || 46\79 || 698.734 || 6 || 1 || 6.000 ||
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| |-
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| | 7\12 || || || || || || 700.000 || 1 || 0 || → inf ||
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| |}
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| [[Category:Scales]]
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| [[Category:Abstract MOS patterns]]
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| [[Category:19-tone scales]] | | [[Category:19-tone scales]] |
| [[Category:Mega chromatic scales]] | | [[Category:Mega chromatic scales]] |
| | {{todo|expand}} |