About: Diaschisma

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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.

Attributes	Values
rdf:type	yago:WikicatCommas yago:Abstraction100002137 yago:Comma106842852 yago:Communication100033020 yago:Mark106817782 yago:Punctuation106841365 yago:WrittenSymbol106817623 yago:Signal106791372 yago:Symbol106806469
rdfs:label	Diaschisma (en) Диасхизма (ru)
rdfs:comment	Диасхи́зма (др.-греч. διασχίσμα, лат. diaschisma), также уменьшённая комма — микроинтервал, равный разности дидимовой (синтонической) коммы и схизмы и, таким образом, имеющий отношение частот верхнего и нижнего звука, равное , или 19,5526 ц. Диасхизма, так же как большая и малая диесы, соответствует уменьшённой секунде в чистом строе (то есть интервалу вида C—Deses, Cis—Des, E—Fes, Eis—F и т.п.). (ru) 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. (en)
foaf:depiction
dcterms:subject	Commas (music) 5-limit tuning and intervals
Wikipage page ID	2683915 (xsd:integer)
Wikipage revision ID	784119382 (xsd:integer)
Link from a Wikipage to another Wikipage	Schisma Limit (music) 12 equal temperament Musical temperament Comma (music) Cent (music) Just major third 46 equal temperament 22 equal temperament 34 equal temperament Commas (music) 5-limit tuning and intervals Perfect fifth Interval (music) Just intonation Syntonic comma Jean-Philippe Rameau Greater chromatic semitone Octave Anicius Manlius Severinus Boethius Pythagorean minor second Hermann Helmholtz Just minor second Tinctoris
sameAs	Diaschisma Diaschisma Diaschisma Diaschisma
dbp:wikiPageUsesTemplate	dbt:Intervals dbt:Audio dbt:Reflist
thumbnail	wiki-commons:Special:FilePath/Diaschisma_on_C.png?width=300
has 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. (en) Диасхи́зма (др.-греч. διασχίσμα, лат. diaschisma), также уменьшённая комма — микроинтервал, равный разности дидимовой (синтонической) коммы и схизмы и, таким образом, имеющий отношение частот верхнего и нижнего звука, равное , или 19,5526 ц. Диасхизма, так же как большая и малая диесы, соответствует уменьшённой секунде в чистом строе (то есть интервалу вида C—Deses, Cis—Des, E—Fes, Eis—F и т.п.). (ru)
gold:hypernym	Interval
prov:wasDerivedFrom	wikipedia-en:Diaschisma?oldid=784119382&ns=0
page length (characters) of wiki page	2652 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Diaschisma
is Link from a Wikipage to another Wikipage of	Schisma List of pitch intervals Index of music articles 12 equal temperament Comma (music) Musical prefix Five-limit tuning Diminished second List of Greek and Latin roots in English/S Interval (music) Modulatory space Diesis Microtonal music Semitone Minor comma Diacisma Comma minor
is Wikipage redirect of	Minor comma Diacisma Comma minor
is foaf:primaryTopic of	wikipedia-en:Diaschisma

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