Schismatic
Schismatic may refer to: * Schismatic (religion), a member of a religious schism, or, as an adjective, of or pertaining to a schism * a term related to the Covenanters, a Scottish Presbyterian movement in the 17th century * pertaining to the schisma in music * Schismatic temperament See also * Schism (other) * Schismogenesis Schismogenesis literally means "creation of division". The term derives from the Greek words σχίσμα ''skhisma'' "cleft" (borrowed into English as schism, "division into opposing factions"), and γένεσις ''genesis'' "generation, creation ...

Schismatic Temperament
A schismatic temperament is a musical tuning system that results from tempering the schisma of 32805:32768 (1.9537 cents) to a unison. It is also called the schismic temperament, Helmholtz temperament, or quasi-Pythagorean temperament. Construction In Pythagorean tuning all notes are tuned as a number of perfect fifths (701.96 cents ). The major third above C, E, is considered four fifths above C. This causes the Pythagorean major third, E (407.82 cents ), to differ from the just major third, E (386.31 cents ): the Pythagorean third is sharper than the just third by 21.51 cents (a syntonic comma ). C — G — D — A — E Ellis's "skhismic temperament". instead uses the note eight fifths ''below'' C, F (384.36 cents ), the Pythagorean diminished fourth or schismatic major third. Though spelled "incorrectly" for a major third, this note is only 1.95 cents (a schisma) flat of E, and thus more in tune than the Pythagorean major third. As Ellis puts it, "the Fifths should be ...
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Schismatic (religion)
A schism ( , , or, less commonly, ) is a division between people, usually belonging to an organization, movement, or religious denomination. The word is most frequently applied to a split in what had previously been a single religious body, such as the Great East–West Schism or the Western Schism. It is also used of a split within a non-religious organization or movement or, more broadly, of a separation between two or more people, be it brothers, friends, lovers, etc. A schismatic is a person who creates or incites schism in an organization or who is a member of a splinter group. Schismatic as an adjective means pertaining to a schism or schisms, or to those ideas, policies, etc. that are thought to lead towards or promote schism. In religion, the charge of schism is distinguished from that of heresy, since the offence of schism concerns not differences of belief or doctrine but promotion of, or the state of division, especially among groups with differing pastoral jurisdict ...
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Schism (other)
A schism is a division between people, usually belonging to an organization, movement, or religious denomination. Schism may also refer to: Religious *List of schisms in Christianity **Meletian schism (4th century), a split involving the Patriarch of Antioch ** Nestorian Schism (431), a split between the Church in the Sassanid Empire and the Church in the Eastern Roman Empire, after the First Council of Ephesus ** Non-Chalcedonian Christianity (5th century), a split between the church in Armenia, Syria and Egypt and the church in Asia Minor, the Balkan peninsula and Italy ** Acacian schism (484–519), a split between the Eastern and Western Christian churches ** Schism of the Three Chapters (553–698), a split within the Roman Catholic Church ** Photian schism (863–867), a split between Eastern and Western Christianity ** East–West Schism, (11th century; 1054), a split between the Roman Catholic Church and the Eastern Orthodox Church; sometimes called ''The Great Schis ...
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Covenanters
Covenanters ( gd, Cùmhnantaich) were members of a 17th-century Scottish religious and political movement, who supported a Presbyterian Church of Scotland, and the primacy of its leaders in religious affairs. The name is derived from ''Covenant'', a biblical term for a bond or agreement with God. The origins of the movement lay in disputes with James VI, and his son Charles I over church structure and doctrine. In 1638, thousands of Scots signed the National Covenant, pledging to resist changes imposed by Charles on the kirk; following victory in the 1639 and 1640 Bishops' Wars, the Covenanters took control of Scotland and the 1643 Solemn League and Covenant brought them into the First English Civil War on the side of Parliament. Following his defeat in May 1646 Charles I surrendered to the Scots Covenanters, rather than Parliament. By doing so, he hoped to exploit divisions between Presbyterians, and English Independents. As a result, the Scots supported Charles in the 16 ...
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Schisma
In music, the schisma (also spelled ''skhisma'') is the interval between a Pythagorean comma (531441:524288) and a syntonic comma (81:80) and equals or 32805:32768 = 1.00113, which is 1.9537 cents (). It may also be defined as: * the difference between 8 justly tuned perfect fifths plus a justly tuned major third and 5 octaves; * the difference between major limma and Pythagorean limma; * the difference between the syntonic comma and the diaschisma. ''Schisma'' is a Greek word meaning a split (see schism) whose musical sense was introduced by Boethius at the beginning of the 6th century in the 3rd book of his 'De institutione musica'. Boethius was also the first to define diaschisma. Andreas Werckmeister defined the ''grad'' as the twelfth root of the Pythagorean comma, or equivalently the difference between the justly tuned fifth (3/2) and the equally tempered fifth of 700 cents (2). This value, 1.955 cents, may be approximated by the ratio 886:885. This interval is also ...
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