Kleisma (interval region): Difference between revisions

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Added approximate cents for the Sagittal bounds.
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weird claim
 
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A '''kleisma''' is an interval of about 8.1 [[cent]]s, roughly the size of the interval [[15625/15552]], which is called the kleisma in [[just intonation]]. In [[Sagittal notation]], a kleisma is specifically defined as between half of the Pythagorean 200-fifths kleisma {{monzo| 317 -200 }} and half of the [[Pythagorean comma]] {{monzo| -19 12 }}, about 4.5{{c}} to 11.7{{c}}.  
A '''kleisma''' is an interval of about 8.1 [[cent]]s, roughly the size of the interval [[15625/15552]], which is called the kleisma in [[just intonation]]. In [[Sagittal notation]], a kleisma is specifically defined as between half of the Pythagorean 200-fifths kleisma {{monzo| 317 -200 }} and half of the [[Pythagorean comma]] {{monzo| -19 12 }}, about 4.5{{c}} to 11.7{{c}}.  


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.
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.{{cn}} Another significance is that a lot of commas are about 3–4 kleismas in size.


Kleismas belong to the larger interval region of [[Comma (interval region)|commas]], which are part of the [[Comma and diesis|"comma and diesis"]] category.
Kleismas belong to the larger interval region of [[Comma (interval region)|commas]], which are part of the [[Comma and diesis|"comma and diesis"]] category.