980/729: Difference between revisions
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'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] | '''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]]). | ||
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 [[Canovian 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. | 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 [[Canovian 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. | ||
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[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Diminished fifth]] | [[Category:Diminished fifth]] | ||
[[Category:Sensamagic]] | [[Category:Sensamagic]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||
Revision as of 05:20, 22 January 2022
| Interval information |
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).
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 Canovian 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