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- Magic_temperament abstract "In microtonal music, Magic temperament is a regular temperament whose period is an octave and whose generator is an approximation to the 5/4 just major third. In 12-tone equal temperament, three major thirds add up to an octave, since it tempers the interval 128/125 to a unison. In magic temperament, this comma is not tempered away, and the sequence of notes separated by major thirds continues indefinitely.Instead of 128/125, 3125/3072 vanishes in magic temperament, where each 5/4 major third is made slightly narrow (about 380 cents (About this sound Play )), so that five of them add up to an approximate 3/1 (an octave plus a perfect fifth). A chain of these thirds can be used to generate a 7-tone scale with the following interval distribution (given in cents):0 322 381 703 762 1084 1142 1201Note that this represents only one possible tuning of magic temperament. The important property is that the major third is tempered slightly flatter than its just value of 386 cents, so that five of them less an octave yield a good approximation to the perfect fifth (702 cents).If the sequence of major thirds is continued, the next moments of symmetry are at 10-, 13-, and 16-tone scales. Magic temperament is compatible with divisions of the octave into nineteen, twenty-two, and forty-one equal parts, which is to say that these equal temperaments make reasonable tunings for magic temperament, and therefore a piece written in magic temperament can be performed in any of them.".
- Magic_temperament wikiPageExternalLink 10917.
- Magic_temperament wikiPageExternalLink Tuning_continua_and_keyboard_layouts.
- Magic_temperament wikiPageID "5042523".
- Magic_temperament wikiPageLength "2177".
- Magic_temperament wikiPageOutDegree "13".
- Magic_temperament wikiPageRevisionID "566563063".
- Magic_temperament wikiPageWikiLink 19_equal_temperament.
- Magic_temperament wikiPageWikiLink 22_equal_temperament.
- Magic_temperament wikiPageWikiLink 41_equal_temperament.
- Magic_temperament wikiPageWikiLink Category:Linear_temperaments.
- Magic_temperament wikiPageWikiLink Cent_(music).
- Magic_temperament wikiPageWikiLink Equal_temperament.
- Magic_temperament wikiPageWikiLink Generated_collection.
- Magic_temperament wikiPageWikiLink Just_intonation.
- Magic_temperament wikiPageWikiLink Major_third.
- Magic_temperament wikiPageWikiLink Microtonal_music.
- Magic_temperament wikiPageWikiLink Octave.
- Magic_temperament wikiPageWikiLink Regular_temperament.
- Magic_temperament wikiPageWikiLinkText "3125/3072".
- Magic_temperament wikiPageWikiLinkText "magic temperament".
- Magic_temperament wikiPageWikiLinkText "magic".
- Magic_temperament wikiPageUsesTemplate Template:Audio.
- Magic_temperament wikiPageUsesTemplate Template:Musical_tuning.
- Magic_temperament subject Category:Linear_temperaments.
- Magic_temperament hypernym Temperament.
- Magic_temperament comment "In microtonal music, Magic temperament is a regular temperament whose period is an octave and whose generator is an approximation to the 5/4 just major third. In 12-tone equal temperament, three major thirds add up to an octave, since it tempers the interval 128/125 to a unison.".
- Magic_temperament label "Magic temperament".
- Magic_temperament sameAs Q6730975.
- Magic_temperament sameAs m.0d0524.
- Magic_temperament sameAs Q6730975.
- Magic_temperament wasDerivedFrom Magic_temperament?oldid=566563063.
- Magic_temperament isPrimaryTopicOf Magic_temperament.