Kleisma (interval region)
A kleisma is an interval of about 8.1 cents, 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 [317 -200⟩ and half of the Pythagorean comma [-19 12⟩, about 4.5 ¢ to 11.7 ¢.
| ← Unnoticeable comma | Kleisma | Small comma → |
243/242 (7.1¢)
225/224 (7.7¢)
1029/1024 (8.4¢)
16875/16807 (7¢)
65536/65219 (8.4¢)
Comma
Comma and diesis
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.[citation needed] 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.
See also
- Kleisma (disambiguation page)
| View • Talk • EditInterval classification | |
|---|---|
| Interval regions | |
| Unison and octave | Unison • Comma and diesis • Octave |
| Seconds | Minor second • Neutral second • Major second |
| Thirds | Minor third • Neutral third • Major third |
| Fourths and fifths | Perfect fourth • Superfourth • Tritone • Subfifth • Perfect fifth |
| Sixths | Minor sixth • Neutral sixth • Major sixth |
| Sevenths | Minor seventh • Neutral seventh • Major seventh |
| Interseptimal intervals | Interseptimal 2nd-3rd • Interseptimal 3rd-4th • Interseptimal 5th-6th • Interseptimal 6th-7th |
| Interval qualities | |
| Diatonic qualities | Diminished • Minor • Perfect • Major • Augmented |
| Tuning ranges | Neutral (interval quality) • Submajor and supraminor • Pental major and minor • Novamajor and novaminor • Neogothic major and minor • Supermajor and subminor • Ultramajor and inframinor |