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| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 1 | | {{MOS intro|Other Names=m-enharmonic}} |
| | nLargeSteps = 12
| | |
| | nSmallSteps = 7
| | Essentially the entire range of this scale is spanned by various tunings of [[meantone]], as the meantone enharmonic scale. |
| | Equalized = 8
| | |
| | Paucitonic = 5
| | == Scale properties == |
| | Pattern = sLsLLsLLsLsLLsLLsLL
| | {{TAMNAMS use}} |
| | Name = Meantone mega-chromatic
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| }} | |
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| '''12L 7s''' is the MOS pattern of the [[meantone]] 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 fourth which generates it measures 5\12 (500 cents) to 8\19 (505.263 cents).
| | === Intervals === |
| | {{MOS intervals}} |
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| The meantone mega-chromatic scale with generator between 13\31 (503.226 cents) and 8\19 (505.263 cents) is [[Rothenberg propriety|proper]].
| | === Generator chain === |
| | {{MOS genchain}} |
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| == Modes == | | === Modes === |
| * 18|0 LLsLLsLLsLsLLsLLsLs
| | {{MOS mode degrees}} |
| * 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 == | | == Scale tree == |
| {| class="wikitable center-all" | | {{MOS tuning spectrum |
| ! colspan="6" | Generator
| | | 13/8 = [[Golden meantone]] (696.2145¢); |
| ! Cents
| | | 5/3 = [[Meantone]] / [[meanpop]]; |
| ! L
| | | 7/3 = Meantone / [[huygens]]; |
| ! s
| | | 5/2 = Meantone / huygens / [[grosstone]]; |
| ! L/s
| | | 13/5 = Golden grosstone (697.3969¢); |
| ! Comments
| | | 3/1 = Meantone / [[meridetone]] |
| |-
| | }} |
| | 8\19 || || || || || || 505.263 || 1 || 1 || 1.000 ||
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| |-
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| | || || || || || 45\107 || 504.673 || 6 || 5 || 1.200 ||
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| |-
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| | || || || || 37\88 || || 504.545 || 5 || 4 || 1.250 ||
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| |-
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| | || || || || || 66\157 || 504.459 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 29\69 || || || 504.348 || 4 || 3 || 1.333 ||
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| |-
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| | || || || || || 79\188 || 504.255 || 11 || 8 || 1.375 ||
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| |-
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| | || || || || 50\119 || || 504.202 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 71\169 || 504.142 || 10 || 7 || 1.428 ||
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| |-
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| | || || 21\50 || || || || 504.000 || 3 || 2 || 1.500 || [[Meantone]] / [[Meanpop]]
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| |-
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| | || || || || || 76\181 || 503.867 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 55\131 || || 503.817 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 89\212 || 503.774 || 13 || 8 || 1.625 || [[Golden meantone]] (Generator = 503.7855 cents)
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| |-
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| | || || || 34\81 || || || 503.704 || 5 || 3 || 1.667 || Meantone / Meanpop
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| |-
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| | || || || || || 81\193 || 503.627 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 47\112 || || 503.571 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 60\143 || 503.497 || 9 || 5 || 1.800 ||
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| |-
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| | || 13\31 || || || || || 503.226 || 2 || 1 || 2.000 || Basic meantone mega-chromatic <br>(Generators larger than this are proper)
| |
| |-
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| | || || || || || 57\136 || 502.941 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 44\105 || || 502.857 || 7 || 3 || 2.333 || Meantone / [[Huygens]]
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| |-
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| | || || || || || 75\179 || 502.793 || 12 || 5 || 2.400 ||
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| |-
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| | || || || 31\74 || || || 502.703 || 5 || 2 || 2.500 || Meantone / Huygens / [[Grosstone]]
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| |-
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| | || || || || || 80\191 || 502.618 || 13 || 5 || 2.600 || Golden grosstone (Generator = 502.6031 cents)
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| |-
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| | || || || || 49\117 || || 502.564 || 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 67\160 || 502.500 || 11 || 4 || 2.750 ||
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| |-
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| | || || 18\43 || || || || 502.326 || 3 || 1 || 3.000 || Meantone / [[Meridetone]]
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| |-
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| | || || || || || 59\141 || 502.128 || 10 || 3 || 3.333 ||
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| |-
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| | || || || || 41\98 || || 502.041 || 7 || 2 || 3.500 ||
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| |-
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| | || || || || || 64\153 || 501.961 || 11 || 3 || 3.667 ||
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| |-
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| | || || || 23\55 || || || 501.818 || 4 || 1 || 4.000 ||
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| |-
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| | || || || || || 51\122 || 501.639 || 9 || 2 || 4.500 ||
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| |-
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| | || || || || 28\67 || || 501.493 || 5 || 1 || 5.000 ||
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| |-
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| | || || || || || 33\79 || 501.266 || 6 || 1 || 6.000 ||
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| |-
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| | 5\12 || || || || || || 500.000 || 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}} |