Kleisma

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← Unnoticeable comma Interval region Small comma →
Name Kleisma
Lower bound
Upper bound
Example JI intervals
Intervals 15625/15552 (8.1¢)
243/242 (7.1¢)
225/224 (7.7¢)
1029/1024 (8.4¢)
16875/16807 (7¢)
65536/65219 (8.4¢)
Related regions
Superregion(s) Small comma
Comma
Comma and diesis
English Wikipedia has an article on:

A kleisma is an interval of about 8.1 cents, roughly the size of the interval 15625/15552, which is called a kleisma in just intonation.

As an interval region, the kleisma is significant as it is a limit of intonational fidelity when playing on some physical instruments. That is, on free-pitch instruments, there is a level of precision to which one can be expected to play a note or interval "correctly": that level of precision is the kleisma. Another significance is that a lot of commas are about 3-4 kleismas in size.

Kleismas belong to the larger interval region of commas, which are part of the "comma and diesis" category.

Other definitions



This disambiguation page lists pages associated with the title Kleisma.

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ViewTalkEditInterval classification
Seconds and thirds UnisonComma and diesisSemitoneNeutral secondMajor second • (Interseptimal second-third) • Minor thirdNeutral thirdMajor third
Fourths and fifths (Interseptimal third-fourth) • Perfect fourthSuperfourthTritoneSubfifthPerfect fifth • (Interseptimal fifth-sixth)
Sixths and sevenths Minor sixthNeutral sixthMajor sixth • (Interseptimal sixth-seventh) • Minor seventhNeutral seventhMajor seventhOctave
Diatonic qualities DiminishedMinorPerfectMajorAugmented
Tuning ranges Neutral (interval quality)Submajor and supraminorPental major and minorNovamajor and novaminorNeogothic major and minorSupermajor and subminorUltramajor and inframinor