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- Diaschisma abstract "The diaschisma (or diacisma) is a small musical interval defined as the difference between three octaves and four perfect fifths plus two major thirds (in just intonation). It can be represented by the ratio 2048:2025 and is about 19.5 cents. The use of the name diaschisma for this interval is due to Helmholtz; earlier Rameau had called that interval a "diminished comma" or comma minor.A diaschisma is the difference between a schisma and a syntonic comma, as well as the difference between the greater chromatic semitone (135:128 = 92.18 cents) and the just minor second (16:15 = 111.73 cents). Medieval theorists Boethius and Tinctoris described the diaschisma as one-half of the Pythagorean minor second, or 256/243, which would make the other half either 25/24 (70.67 cents) or about 45 cents. The diaschisma may be approximated by 89/88, 19.56 cents.Tempering out the diaschisma, in the modern meaning of the term, leads to a diaschismic temperament. The diaschisma is tempered out in the usual system of 12 equal temperament; in fact, 12 equal temperament can be characterized as the 5-limit temperament that tempers out both the syntonic comma of 81/80 and the diaschisma. However, it is possible to improve the tuning a good deal over that of 12-et and still temper out the diaschisma; the equal temperaments with 22, 34 and 46 notes all temper it out.".
- Diaschisma thumbnail Diaschisma_on_C.png?width=300.
- Diaschisma wikiPageID "2683915".
- Diaschisma wikiPageLength "2648".
- Diaschisma wikiPageOutDegree "27".
- Diaschisma wikiPageRevisionID "675394365".
- Diaschisma wikiPageWikiLink 12_equal_temperament.
- Diaschisma wikiPageWikiLink 22_equal_temperament.
- Diaschisma wikiPageWikiLink 34_equal_temperament.
- Diaschisma wikiPageWikiLink 46_equal_temperament.
- Diaschisma wikiPageWikiLink Anicius_Manlius_Severinus_Boethius.
- Diaschisma wikiPageWikiLink Boethius.
- Diaschisma wikiPageWikiLink Category:5-limit_tuning_and_intervals.
- Diaschisma wikiPageWikiLink Category:Commas_(music).
- Diaschisma wikiPageWikiLink Cent_(music).
- Diaschisma wikiPageWikiLink Comma_(music).
- Diaschisma wikiPageWikiLink Equal_temperament.
- Diaschisma wikiPageWikiLink Greater_chromatic_semitone.
- Diaschisma wikiPageWikiLink Hermann_Helmholtz.
- Diaschisma wikiPageWikiLink Hermann_von_Helmholtz.
- Diaschisma wikiPageWikiLink Interval_(music).
- Diaschisma wikiPageWikiLink Jean-Philippe_Rameau.
- Diaschisma wikiPageWikiLink Johannes_Tinctoris.
- Diaschisma wikiPageWikiLink Just_intonation.
- Diaschisma wikiPageWikiLink Just_major_third.
- Diaschisma wikiPageWikiLink Just_minor_second.
- Diaschisma wikiPageWikiLink Limit_(music).
- Diaschisma wikiPageWikiLink Major_third.
- Diaschisma wikiPageWikiLink Minor_second.
- Diaschisma wikiPageWikiLink Musical_temperament.
- Diaschisma wikiPageWikiLink Octave.
- Diaschisma wikiPageWikiLink Perfect_fifth.
- Diaschisma wikiPageWikiLink Pythagorean_minor_second.
- Diaschisma wikiPageWikiLink Schisma.
- Diaschisma wikiPageWikiLink Semitone.
- Diaschisma wikiPageWikiLink Syntonic_comma.
- Diaschisma wikiPageWikiLink Tinctoris.
- Diaschisma wikiPageWikiLink File:Diaschisma.png.
- Diaschisma wikiPageWikiLink File:Diaschisma_Cuisenaire_rods_just.png.
- Diaschisma wikiPageWikiLink File:Diaschisma_on_C.png.
- Diaschisma wikiPageWikiLinkText "Diaschisma".
- Diaschisma wikiPageWikiLinkText "diaschisma".
- Diaschisma hasPhotoCollection Diaschisma.
- Diaschisma wikiPageUsesTemplate Template:Audio.
- Diaschisma wikiPageUsesTemplate Template:Intervals.
- Diaschisma wikiPageUsesTemplate Template:Reflist.
- Diaschisma subject Category:5-limit_tuning_and_intervals.
- Diaschisma subject Category:Commas_(music).
- Diaschisma hypernym Interval.
- Diaschisma comment "The diaschisma (or diacisma) is a small musical interval defined as the difference between three octaves and four perfect fifths plus two major thirds (in just intonation). It can be represented by the ratio 2048:2025 and is about 19.5 cents.".
- Diaschisma label "Diaschisma".
- Diaschisma sameAs m.07xs_y.
- Diaschisma sameAs Диасхизма.
- Diaschisma sameAs Q4161079.
- Diaschisma sameAs Q4161079.
- Diaschisma wasDerivedFrom Diaschisma?oldid=675394365.
- Diaschisma depiction Diaschisma_on_C.png.
- Diaschisma isPrimaryTopicOf Diaschisma.