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| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 1 | | {{MOS intro|Other Names=s-enharmonic}} |
| | nLargeSteps = 5
| | |
| | nSmallSteps = 12
| | This scale is characterized by having a diesis (the difference between a large step and two small steps) that is larger than the [[chroma]]. |
| | Equalized = 10
| | |
| | Paucitonic = 3
| | The [[supra]]/[[quasisuper]] version is proper, but the [[superpyth]]/[[ultrapyth]] version is improper (it does not become proper until you add 5 more notes to form the superpyth 22-note scale). |
| | Pattern = LssLssLsssLssLsss
| | |
| }} | | == Scale properties == |
| | {{TAMNAMS use}} |
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| '''5L 12s''' is the MOS pattern of the [[superpyth]] enharmonic or mega-chromatic scale. In contrast to the [[12L 5s|schismic enharmonic scale]], in which the enharmonic diesis (negative diminished second) is smaller than the chromatic semitone, here the reverse is true: the enharmonic diesis is larger than the chromatic semitone, so the [[5L 7s|diatonic scale]] subset is actually [[Rothenberg propriety|improper]].
| | === Intervals === |
| | {{MOS intervals}} |
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| The supra/quasisuper version is proper, but the superpyth/ultrapyth version is improper (it does not become proper until you add 5 more notes to form the superpyth 22-note scale).
| | === Generator chain === |
| | {{MOS genchain}} |
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| == Modes == | | === Modes === |
| * 16|0 LssLssLsssLssLsss
| | {{MOS mode degrees}} |
| * 15|1 LssLsssLssLssLsss
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| * 14|2 LssLsssLssLsssLss
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| * 13|3 LsssLssLssLsssLss
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| * 12|4 LsssLssLsssLssLss
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| * 11|5 sLssLssLsssLssLss
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| * 10|6 sLssLsssLssLssLss
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| * 9|7 sLssLsssLssLsssLs
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| * 8|8 sLsssLssLssLsssLs
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| * 7|9 sLsssLssLsssLssLs
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| * 6|10 ssLssLssLsssLssLs
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| * 5|11 ssLssLsssLssLssLs
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| * 4|12 ssLssLsssLssLsssL
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| * 3|13 ssLsssLssLssLsssL
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| * 2|14 ssLsssLssLsssLssL
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| * 1|15 sssLssLssLsssLssL
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| * 0|16 sssLssLsssLssLssL
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| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{MOS tuning spectrum |
| * Chroma-positive generator: 705.8824 cents (10\17) to 720 cents (3\5)
| | | 4/3 = [[Supra]] |
| * Chroma-negative generator: 480 cents (2\5) to 494.1176 cents (7\17)
| | | 13/8 = Golden supra (708.0539{{c}}) |
| | | 5/3 = [[Quasisuper]]/[[quasisupra]] |
| | | 5/2 = [[Superpyth]] |
| | | 13/5 = Golden superpyth (710.4345{{c}}) |
| | | 7/2 = [[Quasiultra]] |
| | | 5/1 = [[Oceanfront]]/[[ultrapyth]] |
| | | 6/1 = [[Hemiseven]] ↓ |
| | }} |
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| {| class="wikitable center-all" | | {{todo|expand}} |
| ! colspan="6" | Generator
| |
| ! Cents
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| ! L
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| ! s
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| ! L/s
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| ! Comments
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| |-
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| | 10\17 || || || || || || 705.882 || 1 || 1 || 1.000 ||
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| |-
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| | || || || || || 53\90 || 706.667 || 6 || 5 || 1.200 ||
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| |-
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| | || || || || 43\73 || || 706.849 || 5 || 4 || 1.250 ||
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| |-
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| | || || || || || 76\129 || 706.977 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 33\56 || || || 707.143 || 4 || 3 || 1.333 || [[Supra]]
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| |-
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| | || || || || || 89\151 || 707.285 || 11 || 8 || 1.375 ||
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| |-
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| | || || || || 56\95 || || 707.368 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 79\134 || 707.463 || 10 || 7 || 1.428 ||
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| |-
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| | || || 23\39 || || || || 707.692 || 3 || 2 || 1.500 ||
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| |-
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| | || || || || || 82\139 || 707.914 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 59\100 || || 708.000 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 95\161 || 708.075 || 13 || 8 || 1.625 || Golden supra (708.0539¢)
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| |-
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| | || || || 36\61 || || || 708.197 || 5 || 3 || 1.667 || [[Quasisuper]] / [[quasisupra]]
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| |-
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| | || || || || || 85\144 || 708.333 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 49\83 || || 708.434 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 62\105 || 708.571 || 9 || 5 || 1.800 ||
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| |-
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| | || 13\22 || || || || || 709.091 || 2 || 1 || 2.000 || Basic 5L 12s <br>(Generators smaller than this are proper)
| |
| |-
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| | || || || || || 55\93 || 709.677 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 42\71 || || 709.859 || 7 || 3 || 2.333 ||
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| |-
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| | || || || || || 71\120 || 710.000 || 12 || 5 || 2.400 ||
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| |-
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| | || || || 29\49 || || || 710.204 || 5 || 2 || 2.500 || [[Superpyth]]
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| |-
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| | || || || || || 74\125 || 710.400 || 13 || 5 || 2.600 || Golden superpyth (710.4345¢)
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| |-
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| | || || || || 45\76 || || 710.526 || 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 61\103 || 710.680 || 11 || 4 || 2.750 ||
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| |-
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| | || || 16\27 || || || || 711.111 || 3 || 1 || 3.000 ||
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| |-
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| | || || || || || 51\86 || 711.628 || 10 || 3 || 3.333 ||
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| |-
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| | || || || || 35\59 || || 711.864 || 7 || 2 || 3.500 ||
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| |-
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| | || || || || || 54\91 || 712.088 || 11 || 3 || 3.667 ||
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| |-
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| | || || || 19\32 || || || 712.500 || 4 || 1 || 4.000 ||
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| |-
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| | || || || || || 41\69 || 713.043 || 9 || 2 || 4.500 ||
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| |-
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| | || || || || 22\37 || || 713.514 || 5 || 1 || 5.000 || [[Oceanfront]] / [[Ultrapyth]]
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| |-
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| | || || || || || 25\42 || 714.286 || 6 || 1 || 6.000 || [[Hemiseven]]↓
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| |-
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| | 3\5 || || || || || || 720.000 || 1 || 0 || → inf ||
| |
| |}
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| [[Category:Abstract MOS patterns]]
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| [[Category:17-tone scales]] | | [[Category:17-tone scales]] |
| [[Category:Mega chromatic scales]] | | [[Category:Mega chromatic scales]] |