980/729: Difference between revisions
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'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]]. | '''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just 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 [[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 == | == See also == | ||
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[[Category:Diminished fifth]] | [[Category:Diminished fifth]] | ||
[[Category:Sensamagic]] | [[Category:Sensamagic]] | ||
[[Category:Canou]] | |||
Revision as of 04:13, 17 November 2020
| Interval information |
980/729, the sensamagic fourth is a 7-limit ratio of about 512 cents, sharp of a just 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