The schisma, also spelled skhisma, is the ratio between a Pythagorean comma and a syntonic comma and equals 32805/32768, which is 1.9537 cents. The term was coined by Alexander J. Ellis, but earlier theorist Andreas Werckmeister defined the grad as the twelfth root of the Pythagorean comma, or equivalently the difference between the justly tuned fifth and the equally tempered fifth of 700 cents, and this interval of 1.9550 cents is also sometimes called a schisma.
Because the difference between a grad and a schisma is so small, a rational intonation version of equal temperament may be realized by flattening the fifth by a schisma rather than a grad, a fact first noted by Johann Kirnberger, a pupil of Bach. Twelve of these Kirnberger fifths of 16384/10935 exceed seven octaves, and therefore fail to close, by the tiny interval of 2161 3-84 5-12, the atom of Kirnberger of 0.01536 cents.
Het woord schisma is afgeleid van het Griekse werkwoord schizein ("splitsen, klieven"), en betekent een splitsing of afscheuring van een organisatie in twee verschillende kampen.
Een schisma is gewoonlijk het gevolg van onverzoenbare ideologische of religieuze geschillen.
In historische context verwijst een schisma meestal naar een splitsing binnen het christendom.
In music, the schisma, also spelled skhisma, is the ratio between a Pythagorean comma and a syntonic comma and equals 32805/32768, which is 1.9537 cents.
Schisma is a Greek word meaning a split (see schism).
Because the difference between a grad and a schisma is so small, a rational intonation version of equal temperament may be realized by flattening the fifth by a schisma rather than a grad, a fact first noted by Johann Kirnberger, a pupil of Bach.
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