Interval size measure: Difference between revisions
→Logarithmic: rid of "PRIME" in favor of "[#] (prime)" |
m Cleanup |
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! Origin/Significance | ! Origin/Significance | ||
|- | |- | ||
| | | Hekt | ||
| 3/1 (twelfth) | | 3/1 (twelfth) | ||
| 1300 | | 1300 | ||
| 1/100 of | | 1/100 of 13edt (Bohlen-Pierce) scale step | ||
|- | |- | ||
| | | Grad | ||
| [[Pythagorean comma|531441/524288]] (Pythagorean comma) | | [[Pythagorean comma|531441/524288]] (Pythagorean comma) | ||
| 12 | | 12 | ||
| | | | ||
|- | |- | ||
| | | Tuning unit | ||
| [[531441/524288]] (Pythagorean comma) | | [[531441/524288]] (Pythagorean comma) | ||
| 720 | | 720 | ||
| | | | ||
|- | |- | ||
| | | [[Wikipedia:Neper|Neper]] (Np) | ||
| <math>e</math> ≈ 2.71828 | | <math>e</math> ≈ 2.71828 | ||
| 1 | | 1 | ||
| the natural unit for logarithmic measurement | | the natural unit for logarithmic measurement | ||
|- | |- | ||
| | | Dineper (dNp) | ||
| <math>e^2</math> ≈ 7.38906 | | <math>e^2</math> ≈ 7.38906 | ||
| 1 | | 1 | ||
| Line 318: | Line 318: | ||
=== Relative measures === | === Relative measures === | ||
Within a given [[Equal-step tuning|equal-stepped]] tonal system, the [[relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[Just intonation|JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neighbouring pitches in the used equal tuning. | Within a given [[Equal-step tuning|equal-stepped]] tonal system, the [[relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[Just intonation|JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neighbouring pitches in the used equal tuning. | ||
== Ratio == | == Ratio == | ||
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* [[Interval span]] | * [[Interval span]] | ||
== Articles == | |||
* [http://arxiv.org/abs/0907.5249 ''Why the Kirnberger Kernel Is So Small''] by [[Don N. Page]] | |||
== Notes == | == Notes == | ||