21edf: Difference between revisions
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Lookalikes: [[36edo]], [[57edt]], [[93ed6]], [[101ed7]], [[129ed12]] | Lookalikes: [[36edo]], [[57edt]], [[93ed6]], [[101ed7]], [[129ed12]] | ||
== Theory == | |||
21edf acts as a stretched version of 36edo, though under most circumstances the stretch is more than ideal. If used as a fifth-based system, the chord 6:7:8(:9) may act as the fundamental chord of the system. The most important comma tempered out by this system is [[1029/1024]], and the related temperament is a fifth-based version of [[slendric]] with a 1/3-fifth period representing [[8/7]] and a generator of about a sixth-tone. One generator up or down from this period gives [[7/6]] and [[9/8]] respectively. Other edfs supporting this temperament include [[24edf]] and [[45edf]]. | |||
== Approximations == | == Approximations == | ||
=== Harmonics === | === Harmonics === | ||
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* [[93ed6]] – relative ed6 | * [[93ed6]] – relative ed6 | ||
* [[101ed7]] – relative ed7 | * [[101ed7]] – relative ed7 | ||
* [[129ed12]] – relative ed12 | * [[129ed12]] – relative ed12, close to the zeta-optimized tuning for 36edo | ||
{{todo|expand}} | {{todo|expand}} | ||
[[Category:36edo]] | [[Category:36edo]] | ||