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- Q6420380 subject Q8210720.
- Q6420380 subject Q8393401.
- Q6420380 abstract "In music theory and tuning, the kleisma, or semicomma majeur, is a minute and barely perceptible comma type interval important to musical temperaments. It is the difference between six justly tuned minor thirds (each with a frequency ratio of 6/5) and one justly tuned tritave or perfect twelfth (with a frequency ratio of 3/1, formed by a 2/1 octave plus a 3/2 perfect fifth). It is equal to a frequency ratio of 15625/15552 = 2−6 3−5 56, or approximately 8.1 cents (About this sound Play ). It can be also defined as the difference between five justly tuned minor thirds and one justly tuned major tenth (of size 5/2, formed by a 2/1 octave plus a 5/4 major third).The interval was named by Shohé Tanaka after the Greek for "closure", who noted that it was tempered to a unison by 53 equal temperament. It is also tempered out by 19 equal temperament and 72 equal temperament, but it is not tempered out in 12 equal temperament. Namely, in 12 equal temperament the difference between six minor thirds (18 semitones) and one perfect twelfth (19 semitones) is not a comma, but a semitone (100 cents). The same is true for the difference between five minor thirds (15 semitones) and one major tenth (16 semitones).The interval was described but not used by Rameau in 1726.Larry Hanson independently discovered this interval which also manifested in a unique mapping using a generalized keyboard capable of accommodating all the above temperaments as well as just intonation constant structures (periodicity blocks) with these numbers of scale degreesThe kleisma is also an interval important to the Bohlen–Pierce scale.".
- Q6420380 thumbnail Kleisma_as_thirds_versus_one_twelfth_on_F-sharp.png?width=300.
- Q6420380 wikiPageWikiLink Q1071523.
- Q6420380 wikiPageWikiLink Q1080022.
- Q6420380 wikiPageWikiLink Q1145.
- Q6420380 wikiPageWikiLink Q12372854.
- Q6420380 wikiPageWikiLink Q13417163.
- Q6420380 wikiPageWikiLink Q176224.
- Q6420380 wikiPageWikiLink Q189962.
- Q6420380 wikiPageWikiLink Q193544.
- Q6420380 wikiPageWikiLink Q2711875.
- Q6420380 wikiPageWikiLink Q301849.
- Q6420380 wikiPageWikiLink Q386025.
- Q6420380 wikiPageWikiLink Q4643198.
- Q6420380 wikiPageWikiLink Q543984.
- Q6420380 wikiPageWikiLink Q723441.
- Q6420380 wikiPageWikiLink Q724178.
- Q6420380 wikiPageWikiLink Q752518.
- Q6420380 wikiPageWikiLink Q7784746.
- Q6420380 wikiPageWikiLink Q8210720.
- Q6420380 wikiPageWikiLink Q8393401.
- Q6420380 wikiPageWikiLink Q858576.
- Q6420380 wikiPageWikiLink Q890803.
- Q6420380 comment "In music theory and tuning, the kleisma, or semicomma majeur, is a minute and barely perceptible comma type interval important to musical temperaments. It is the difference between six justly tuned minor thirds (each with a frequency ratio of 6/5) and one justly tuned tritave or perfect twelfth (with a frequency ratio of 3/1, formed by a 2/1 octave plus a 3/2 perfect fifth). It is equal to a frequency ratio of 15625/15552 = 2−6 3−5 56, or approximately 8.1 cents (About this sound Play ).".
- Q6420380 label "Kleisma".
- Q6420380 depiction Kleisma_as_thirds_versus_one_twelfth_on_F-sharp.png.