729/490: Difference between revisions
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'''729/490''', the '''complex sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]]. | '''729/490''', the '''complex sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]]. | ||
It arises in just intonation as the difference between the semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 3/2 is emphasised in the [[ | It arises in just intonation as the difference between the semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 3/2 is emphasised in the [[cathartic family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator. | ||
== See also == | == See also == | ||
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[[Category:Augmented fourth]] | [[Category:Augmented fourth]] | ||
[[Category:Sensamagic]] | [[Category:Sensamagic]] | ||
[[Category: | [[Category:Cathartic]] | ||