Meansquared: Difference between revisions

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This temperament is the precise logarithmic stretching of [[meantone]] temperament by a factor of 2, and it follows that it is assosicated with the [[macrodiatonic and microdiatonic scales|macrodiatonic]] scale [[5L 2s (4/1-equivalent)|5L 2s&lang;4/1&rang;]] and the more melodically usable macrochromatic scale [[7L 5s (4/1-equivalent)|7L 5s &lang;4/1&rang;]]. It also follows that the [[Ed4]]s which [[support]] meansquad have the same number of tones as the [[EDO]]s which support [[meantone]] – [[7ed4]], 12ed4 ([[6edo]]), [[19ed4]], 26ed4 ([[13edo]]), [[31ed4]] and so on.

Meansquared has a nearly identical structure to meantone temperament, but it sounds very much unrecognizable and xenharmonic, due to the extreme stretching involved and the lack of octaves. The 5-limit major and minor triads are stretched out into the macro-major triad (16:25:36) and macro-minor triad (100:144:225). Both of these have a somewhat minor-like sound, with the [[25/16]] coming off as a subminor sixth.

Meansquared has a nearly identical structure to meantone temperament, but it sounds very much unrecognizable and xenharmonic, due to the extreme stretching involved and the lack of octaves. The 5-limit major and minor triads are stretched out into the macro-major triad 16:25:36 and macro-minor triad 100:144:225. Both of these have a somewhat minor-like sound, with the [[25/16]] coming off as a subminor sixth.

[[Category:Temperaments]]

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 This temperament is the precise logarithmic stretching of [[meantone]] temperament by a factor of 2, and it follows that it is assosicated with the [[macrodiatonic and microdiatonic scales|macrodiatonic]] scale [[5L 2s (4/1-equivalent)|5L 2s&lang;4/1&rang;]] and the more melodically usable macrochromatic scale [[7L 5s (4/1-equivalent)|7L 5s &lang;4/1&rang;]]. It also follows that the [[Ed4]]s which [[support]] meansquad have the same number of tones as the [[EDO]]s which support [[meantone]] – [[7ed4]], 12ed4 ([[6edo]]), [[19ed4]], 26ed4 ([[13edo]]), [[31ed4]] and so on.
-Meansquared has a nearly identical structure to meantone temperament, but it sounds very much unrecognizable and xenharmonic, due to the extreme stretching involved and the lack of octaves. The 5-limit major and minor triads are stretched out into the macro-major triad (16:25:36) and macro-minor triad (100:144:225). Both of these have a somewhat minor-like sound, with the [[25/16]] coming off as a subminor sixth.
+Meansquared has a nearly identical structure to meantone temperament, but it sounds very much unrecognizable and xenharmonic, due to the extreme stretching involved and the lack of octaves. The 5-limit major and minor triads are stretched out into the macro-major triad 16:25:36 and macro-minor triad 100:144:225. Both of these have a somewhat minor-like sound, with the [[25/16]] coming off as a subminor sixth.
 [[Category:Temperaments]]