Kleisma (interval region)
| ← Unnoticeable comma | Interval region | 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
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, it is defined specifically as between half of the 200-comma ([317 -200⟩) and half of the Pythagorean comma ([-19 12⟩).
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.
See also
- Kleisma (disambiguation page)
| View • Talk • EditInterval classification | |
|---|---|
| Seconds and thirds | Unison • Comma and diesis • Semitone • Neutral second • Major second • (Interseptimal second-third) • Minor third • Neutral third • Major third |
| Fourths and fifths | (Interseptimal third-fourth) • Perfect fourth • Superfourth • Tritone • Subfifth • Perfect fifth • (Interseptimal fifth-sixth) |
| Sixths and sevenths | Minor sixth • Neutral sixth • Major sixth • (Interseptimal sixth-seventh) • Minor seventh • Neutral seventh • Major seventh • Octave |
| 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 |