Würschmidt comma: Difference between revisions
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* two [[diaschisma]]s and the [[tetracot comma]], ([[2048/2025]])<sup>2</sup>/([[20000/19683]]); tempering out both leads to [[34edo]] | * two [[diaschisma]]s and the [[tetracot comma]], ([[2048/2025]])<sup>2</sup>/([[20000/19683]]); tempering out both leads to [[34edo]] | ||
** equivalently, one diaschisma and the [[kleisma]], ([[2048/2025]])/([[15625/15552]]); tempering out both thus also corresponds to [[34edo]] | ** equivalently, one diaschisma and the [[kleisma]], ([[2048/2025]])/([[15625/15552]]); tempering out both thus also corresponds to [[34edo]] | ||
* finally, between two dieses and the just chromatic semitone, ([[128/125]])<sup>2</sup>/([[25/24]]); tempering out both leads to the trivial tuning [[3edo]] | * finally, between two dieses and the just chromatic semitone, ([[128/125]])<sup>2</sup>/([[25/24]]); tempering out both leads to the trivial tuning [[3edo]]. | ||
The last expression means tempering it out in any nontrivial tuning (that is, not 3edo), there is an exact neutral third between 5/4 and 6/5, which usually represents ~[[11/9]] (or more accurately [[49/40]], tempering out [[2401/2400]] instead of or in addition to [[243/242]]). | The last expression means tempering it out in any nontrivial tuning (that is, not 3edo), there is an exact neutral third between 5/4 and 6/5, which usually represents ~[[11/9]] (or more accurately [[49/40]], tempering out [[2401/2400]] instead of or in addition to [[243/242]]). | ||