980/729: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = retrosensamagic fourth, complex sensamagic fourth | |||
| Name = complex sensamagic fourth | |||
| Color name = zzy5, zozoyo 5th | | Color name = zzy5, zozoyo 5th | ||
}} | }} | ||
'''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]]). | '''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. | 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. | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Diminished fifth]] | [[Category:Diminished fifth]] | ||
[[Category:Sensamagic]] | [[Category:Sensamagic]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||