729/490: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = complex sensamagic fifth | |||
| Name = sensamagic fifth | |||
| Color name = rrg4, rurugu 4th | | Color name = rrg4, rurugu 4th | ||
}} | }} | ||
'''729/490''', the '''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 [[ | 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 [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator. | ||
== See also == | == See also == | ||
* [[980/729]] – its octave complement | * [[980/729]] – its octave complement | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fifth]] | [[Category:Fifth]] | ||
[[Category:Augmented fourth]] | [[Category:Augmented fourth]] | ||
[[Category:Sensamagic]] | [[Category:Sensamagic]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||
Latest revision as of 16:51, 25 October 2022
| Interval information |
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 canou family of temperaments, through its accessibility by two steps of the 81/70-generator.
See also
- 980/729 – its octave complement
- Gallery of just intervals