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- Q4161079 subject Q8210720.
- Q4161079 subject Q8393401.
- Q4161079 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.".
- Q4161079 thumbnail Diaschisma_on_C.png?width=300.
- Q4161079 wikiPageWikiLink Q102851.
- Q4161079 wikiPageWikiLink Q1071523.
- Q4161079 wikiPageWikiLink Q1075846.
- Q4161079 wikiPageWikiLink Q1080022.
- Q4161079 wikiPageWikiLink Q1145.
- Q4161079 wikiPageWikiLink Q12372854.
- Q4161079 wikiPageWikiLink Q12375546.
- Q4161079 wikiPageWikiLink Q16157941.
- Q4161079 wikiPageWikiLink Q189962.
- Q4161079 wikiPageWikiLink Q2368869.
- Q4161079 wikiPageWikiLink Q3114278.
- Q4161079 wikiPageWikiLink Q370512.
- Q4161079 wikiPageWikiLink Q3740487.
- Q4161079 wikiPageWikiLink Q386025.
- Q4161079 wikiPageWikiLink Q60024.
- Q4161079 wikiPageWikiLink Q6549436.
- Q4161079 wikiPageWikiLink Q723441.
- Q4161079 wikiPageWikiLink Q724178.
- Q4161079 wikiPageWikiLink Q738785.
- Q4161079 wikiPageWikiLink Q752518.
- Q4161079 wikiPageWikiLink Q8210720.
- Q4161079 wikiPageWikiLink Q8393401.
- Q4161079 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.".
- Q4161079 label "Diaschisma".
- Q4161079 depiction Diaschisma_on_C.png.