729/490: Difference between revisions
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| Monzo = -1 6 -1 -2 | | Monzo = -1 6 -1 -2 | ||
| Cents = 687.76448 | | Cents = 687.76448 | ||
| Name = sensamagic fifth | | Name = complex sensamagic fifth | ||
| Color name = rrg4, rurugu 4th | | Color name = rrg4, rurugu 4th | ||
| FJS name = A4<sub>5,49</sub> | | FJS name = A4<sub>5,49</sub> | ||
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'''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]] | ||
Revision as of 17:50, 8 February 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