980/729: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = retrosensamagic fourth, complex sensamagic fourth | |||
| Name = sensamagic fourth | |||
| Color name = zzy5, zozoyo 5th | | Color name = zzy5, zozoyo 5th | ||
}} | }} | ||
'''980/729''', the ''' | '''980/729''', the '''retrosensamagic fourth''' or '''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 | 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]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Diminished fifth]] | [[Category:Diminished fifth]] | ||
[[Category:Sensamagic]] | [[Category:Sensamagic]] | ||
[[Category:Canou]] | |||
Latest revision as of 19:58, 21 August 2024
| Interval information |
complex sensamagic fourth
980/729, the retrosensamagic fourth or 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