Meantone: Difference between revisions
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'''Meantone''' is a familiar historical [[temperament]] based on a chain of fifths (or fourths). The more technical part is discussed in [[meantone family]] in the context of the associated family of temperaments. | '''Meantone''' is a familiar historical [[temperament]] based on a chain of fifths (or fourths). The more technical part is discussed in [[meantone family]] in the context of the associated family of temperaments. | ||
{{Infobox regtemp|Generator=3/2|Comma basis=81/80|Mapping=1; 1 4|Edo join 1=19|Edo join 2=12|Optimization method=CWE|Generator tuning=696.7|Subgroups=2.3.5|MOS scales=[[2L 3s]], [[5L 2s]], [[7L 5s]], [[12L 7s]]|Title=Meantone}} | |||
== History == | == History == | ||
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=== Septimal meantone === | === Septimal meantone === | ||
{{Wikipedia| Septimal meantone temperament }} | {{Wikipedia| Septimal meantone temperament }}{{Infobox regtemp|Generator=3/2|Comma basis=81/80, 225/224|Mapping=1; 1 4 10|Edo join 1=31|Edo join 2=19|Optimization method=CWE|Generator tuning=696.7|Subgroups=2.3.5.7|MOS scales=[[2L 3s]], [[5L 2s]], [[7L 5s]], [[12L 7s]]|Title=Septimal meantone}}{{See also| Meantone family #Septimal meantone }} | ||
{{See also| Meantone family #Septimal meantone }} | |||
'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals start to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord; it can also be seen as a diesis-flat minor seventh. | '''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals start to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord; it can also be seen as a diesis-flat minor seventh. | ||