Neutral third scales: Difference between revisions

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'''Neutral third scales''' are characterized by the division of the 3/2 "perfect fifth" into two equal "neutral thirds". It usually refers to a [[MOS]] or [[MODMOS]] generated by a neutral third (usually from 342.9c in [[7edo]] to 360c in [[10edo]]).

One possible temperament interpretation is that the neutral third generator can be taken to represent either 11/9 or 27/22. This means the comma 243/242 is tempered out.

One possible temperament interpretation is that the neutral third generator can be taken to represent either 11/9 or 27/22. This means the comma 243/242 is tempered out, resulting in the [[Rastmic clan#Neutral|neutral]] temperament and its extensions (described below).

If the fifth harmonic is used at all, it makes sense to map it to 8 generators by tempering out 81/80, making it [[Meantone family #Mohaha|a meantone system]], sometimes called [[Chromatic pairs #Mohaha|"mohaha"]]. If 7 is also mapped a particular way it is called [[mohajira]]. Alternatively, 64/63 could be tempered out, leading to a 2.3.7.11 version of [[neutrominant]] temperament. But neither of these adjustments to the farther-out intervals affects its basic nature as a "neutral thirds" scale, which equally subdivides the 3/2 into two equal parts.

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 '''Neutral third scales''' are characterized by the division of the 3/2 "perfect fifth" into two equal "neutral thirds". It usually refers to a [[MOS]] or [[MODMOS]] generated by a neutral third (usually from 342.9c in [[7edo]] to 360c in [[10edo]]).
-One possible temperament interpretation is that the neutral third generator can be taken to represent either 11/9 or 27/22. This means the comma 243/242 is tempered out.
+One possible temperament interpretation is that the neutral third generator can be taken to represent either 11/9 or 27/22. This means the comma 243/242 is tempered out, resulting in the [[Rastmic clan#Neutral|neutral]] temperament and its extensions (described below).
 If the fifth harmonic is used at all, it makes sense to map it to 8 generators by tempering out 81/80, making it [[Meantone family #Mohaha|a meantone system]], sometimes called [[Chromatic pairs #Mohaha|"mohaha"]]. If 7 is also mapped a particular way it is called [[mohajira]]. Alternatively, 64/63 could be tempered out, leading to a 2.3.7.11 version of [[neutrominant]] temperament. But neither of these adjustments to the farther-out intervals affects its basic nature as a "neutral thirds" scale, which equally subdivides the 3/2 into two equal parts.