144edo: Difference between revisions
+prime error table; +subsets and supersets |
|||
| Line 11: | Line 11: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
144edo is the square of world-dominant [[12edo]]. One step of it is called ''[[farab]]''. | |||
Since 144 factors into 2<sup>4</sup> × 3<sup>2</sup>, 144edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, and 72 }}. | Since 144 factors into 2<sup>4</sup> × 3<sup>2</sup>, 144edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, and 72 }}. | ||
=== Approximation to φ === | === Approximation to φ === | ||
144edo is the 12th Fibonacci edo | 144edo is the 12th Fibonacci edo. As a consequence of being a Fibonacci EDO, it can produce extremely precise approximation of the [[Logarithmic phi|logarithmic golden ratio]] at 89 steps. In addition, it ''also'' excellently represents the [[Acoustic phi|acoustic golden ratio]] by 100 steps. | ||
== Music == | == Music == | ||
* [https://www.youtube.com/watch?v=p71oF-A9gF8 ''Like an endless uphill''] by [[5 hideya]] | * [https://www.youtube.com/watch?v=p71oF-A9gF8 ''Like an endless uphill''] by [[5 hideya]] | ||