Kleisma (interval region): Difference between revisions

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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]], it is defined ~~specifically~~ as between half of the 200-~~comma (~~{{monzo| 317 -200 }}) and half of the [[Pythagorean comma]] ({{monzo| -19 12 }}).

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.

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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]], it is defined specifically as between half of the 200-comma ({{monzo| 317 -200 }}) and half of the [[Pythagorean comma]] ({{monzo| -19 12 }}).
+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.