Meantone: Difference between revisions
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| en = Meantone | | en = Meantone | ||
| de = Mitteltönig | | de = Mitteltönig | ||
}} | }}{{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}}'''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. {{Wikipedia|Meantone temperament}} | ||
{{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 == | ||
Meantone with fifths flatter than 700{{cent}} were the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[well temperament]]s and eventually [[12edo|12-tone equal temperament]] won in popularity. However, even today, the vast majority of common-practice Western music theory is based exclusively on meantone, as 12-tone equal temperament is itself a meantone tuning. | Meantone with fifths flatter than 700{{cent}} were the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[well temperament]]s and eventually [[12edo|12-tone equal temperament]] won in popularity. However, even today, the vast majority of common-practice Western music theory is based exclusively on meantone, as 12-tone equal temperament is itself a meantone tuning. | ||
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=== Septimal meantone === | === Septimal meantone === | ||
{{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}}{{Wikipedia| Septimal meantone temperament }}'''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. | |||
See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions. | See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions. | ||