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5L 12s: Difference between revisions

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Undo revision 85761 by Xenllium
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TAMNAMS haven't endorsed a name for this scale; also it's commonly called an enharmonic scale so I add it. The chroma-positive generator is the fifth not the fourth
Line 3: Line 3:
| nLargeSteps = 5
| nLargeSteps = 5
| nSmallSteps = 12
| nSmallSteps = 12
| Equalized = 7
| Equalized = 10
| Paucitonic = 2
| Paucitonic = 3
| Pattern = sssLssLsssLssLssL
| Pattern = sssLssLsssLssLssL
| Name = Superpyth mega-chromatic
}}
}}


'''5L 12s''' is the MOS pattern of the [[superpyth]] mega-chromatic scale. In contrast to the [[12L 5s|schismic mega-chromatic scale]], in which mega-chromatic semitones (negative diminished seconds) are smaller than chromatic semitones, here the reverse is true: mega-chromatic semitones are larger than chromatic semitones, so the [[5L 7s|diatonic scale]] subset is actually [[Rothenberg propriety|improper]].
'''5L 12s''' is the MOS pattern of the [[superpyth]] enharmonic or mega-chromatic scale. In contrast to the [[12L 5s|schismic enharmonic or mega-chromatic 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]].


The supra/quasisuper version is proper, but the superpyth/ultrapyth version is improper (it doesn't become proper until you add 5 more notes to form the superpyth 22-note scale).
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).


== Modes ==
== Modes ==
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{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="6" | Generator
! colspan="6" | Generator
! Fifth <br>(cents)
! Cents
! L
! L
! s
! s
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| || || || || 59\100 || || 708.000 || 8 || 5 || 1.600 ||  
| || || || || 59\100 || || 708.000 || 8 || 5 || 1.600 ||  
|-
|-
| || || || || || 95\161 || 708.075 || 13 || 8 || 1.625 || Golden supra (Fifth = 708.0539 cents)
| || || || || || 95\161 || 708.075 || 13 || 8 || 1.625 || Golden supra (708.0539¢)
|-
|-
| || || || 36\61 || || || 708.197 || 5 || 3 || 1.667 || [[Quasisuper]] / [[quasisupra]]
| || || || 36\61 || || || 708.197 || 5 || 3 || 1.667 || [[Quasisuper]] / [[quasisupra]]
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| || || || || || 62\105 || 708.571 || 9 || 5 || 1.800 ||
| || || || || || 62\105 || 708.571 || 9 || 5 || 1.800 ||
|-
|-
| || 13\22 || || || || || 709.091 || 2 || 1 || 2.000 || Basic 5L 12s <br>(Fifths smaller than this are proper)
| || 13\22 || || || || || 709.091 || 2 || 1 || 2.000 || Basic 5L 12s <br>(Generators smaller than this are proper)
|-
|-
| || || || || || 55\93 || 709.677 || 9 || 4 || 2.250 ||
| || || || || || 55\93 || 709.677 || 9 || 4 || 2.250 ||
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| || || || 29\49 || || || 710.204 || 5 || 2 || 2.500 || [[Superpyth]]
| || || || 29\49 || || || 710.204 || 5 || 2 || 2.500 || [[Superpyth]]
|-
|-
| || || || || || 74\125 || 710.400 || 13 || 5 || 2.600 || Golden superpyth (Fifth = 710.4345 cents)
| || || || || || 74\125 || 710.400 || 13 || 5 || 2.600 || Golden superpyth (710.4345¢)
|-
|-
| || || || || 45\76 || || 710.526 || 8 || 3 || 2.667 ||
| || || || || 45\76 || || 710.526 || 8 || 3 || 2.667 ||
Retrieved from "https://en.xen.wiki/w/5L_12s"