Kleismic family: Difference between revisions
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Other languages: [[:de:Hanson_Kleismisch Deutsch]]</span> | Other languages: [[:de:Hanson_Kleismisch|Deutsch]]</span> | ||
The [[5-limit|5-limit]] parent comma for the '''kleismic family''' is 15625/15552, the kleisma. Its monzo is |-6 -5 6>, and flipping that yields <<6 5 -6|| for the wedgie. This tells us the generator is a minor third, and that to get to the interval class of major thirds will require five of these, and so to get to fifths will require six. In fact, (6/5)^5 = 5/2 * 15625/15552. This 5-limit temperament (virtually a microtemperament) is commonly called '''Hanson''', and 14\53 is about perfect as a hanson generator, though 9\34 also makes sense, and 5\19 and 4\15 are possible. Other tunings include [[72edo|72edo]], [[87edo|87edo]] and [[140edo|140edo]]. | The [[5-limit|5-limit]] parent comma for the '''kleismic family''' is 15625/15552, the kleisma. Its monzo is |-6 -5 6>, and flipping that yields <<6 5 -6|| for the wedgie. This tells us the generator is a minor third, and that to get to the interval class of major thirds will require five of these, and so to get to fifths will require six. In fact, (6/5)^5 = 5/2 * 15625/15552. This 5-limit temperament (virtually a microtemperament) is commonly called '''Hanson''', and 14\53 is about perfect as a hanson generator, though 9\34 also makes sense, and 5\19 and 4\15 are possible. Other tunings include [[72edo|72edo]], [[87edo|87edo]] and [[140edo|140edo]]. | ||