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 == | ||
Latest revision as of 14:35, 10 August 2026
| 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 cathartic 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