980/729: Difference between revisions
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| Monzo = 2 -6 1 2 | | Monzo = 2 -6 1 2 | ||
| Cents = 512.23552 | | Cents = 512.23552 | ||
| Name = sensamagic fourth | | Name = complex sensamagic fourth | ||
| Color name = zzy5, zozoyo 5th | | Color name = zzy5, zozoyo 5th | ||
| FJS name = d5<sup>5, 49</sup> | | FJS name = d5<sup>5, 49</sup> | ||
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'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]). | '''980/729''', the '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]). | ||
It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[ | It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator. | ||
== See also == | == See also == | ||
* [[729/490]] – its octave complement | * [[729/490]] – its octave complement | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 17:49, 8 February 2022
| Interval information |
980/729, the complex sensamagic fourth is a 7-limit interval of about 512 cents, sharp of a perfect fourth (4/3) by a sensamagic comma (245/243).
It arises in just intonation as the difference between the supermajor third 9/7 and the semidiminished seventh 140/81, making it a critical tempering target in the Sensamagic dominant chord. However, its distinction from 4/3 is emphasised in the canou family of temperaments, through its accessibility by two steps of the 81/70-generator.
See also
- 729/490 – its octave complement
- Gallery of just intervals