Interval size measure: Difference between revisions
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==== Non-octave fine measures ==== | ==== Non-octave fine measures ==== | ||
There are other fine measurements based upon the logarithmic division of other intervals (e.g. 3/1 (twelfth)), a few of which are listed below: | There are other fine measurements based upon the logarithmic division of other intervals (e.g. 3/1 (twelfth)), a few of which are listed below: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|- | |- | ||
|+ List of Non-Octave Fine Measures (Logarithmic) | |+List of Non-Octave Fine Measures (Logarithmic) | ||
|- | |- | ||
! Unit Name (Symbol): | ! Unit Name (Symbol): | ||
| Line 297: | Line 299: | ||
| 1300 | | 1300 | ||
| 1/100 of 13edt (Bohlen-Pierce) scale step | | 1/100 of 13edt (Bohlen-Pierce) scale step | ||
|- | |||
|Euhekt | |||
|3/1 (twelfth) | |||
|1900 | |||
|1/100 of 19edt (OnlyPure) scale step | |||
|- | |- | ||
| Grad | | Grad | ||
| [[Pythagorean comma|531441/524288]] (Pythagorean comma) | |[[Pythagorean comma|531441/524288]] (Pythagorean comma) | ||
| 12 | | 12 | ||
| | |[[12edo]] flattens [[3/2]] by this amount | ||
|- | |- | ||
| Tuning unit | | Tuning unit | ||
| [[531441/524288]] (Pythagorean comma) | |[[531441/524288]] (Pythagorean comma) | ||
| 720 | | 720 | ||
| | | | ||
|- | |- | ||
| [[Wikipedia:Neper|Neper]] (Np) | |[[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) | | Dineper (dNp) | ||
| <math>e^2</math> ≈ 7.38906 | |<math>e^2</math> ≈ 7.38906 | ||
| 1 | | 1 | ||
| used for [[logarithmic approximants]] | | used for [[logarithmic approximants]] | ||