12L 5s: Difference between revisions

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-{{Infobox MOS
+{{Infobox MOS}}
-| Periods = 1
+{{MOS intro}}
-| nLargeSteps = 12
+Temperaments supported by this scale include those under the [[Pythagorean tuning|Pythagorean]] and [[Schismatic family|schismic]] families, characterized by a diesis (the difference between a large step and two small steps) that is smaller than the [[chroma]].
-| nSmallSteps = 5
-| Equalized = 7
-| Collapsed = 5
-| Pattern = LLLsLLsLLLsLLsLLs
-}}
-'''12L 5s''' is the MOS pattern of the [[Pythagorean tuning|Pythagorean]]/[[Schismatic family|schismic]] enharmonic or mega-chromatic scale. In contrast to the [[5L 12s|superpyth enharmonic scale]], in which the enharmonic diesis (negative diminished second) is larger than the chromatic semitone, here the reverse is true: the enharmonic diesis is smaller than the chromatic semitone, so the [[5L 7s|diatonic scale]] subset is actually [[Rothenberg propriety|proper]].
 This MOS separates its small steps by intervals of 3L-2L-3L-2L-2L. Its major third of -4 generators approximates an interval between [[24/19]] and [[32/25]], thus its generator is a perfect fourth between 7\17 (494.118 cents) and 5\12 (500 cents).