56ed5: Difference between revisions

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== Theory ==
== Theory ==
56ed5 is related to 24edo, but with the 5th harmonic rather than the [[2/1|octave]] being just. The octave is about 5.87 cents compressed. This tuning has a [[meantone]] fifth as the number of divisions of the 5th harmonic is multiple of 4. This tuning is also a [[hyperpyth]], tempering out 135/133, 171/169, 225/221, and 1521/1445 in the patent val.
56ed5 is related to 24edo, but with the 5th harmonic rather than the [[2/1|octave]] being just. The octave is compressed by about 5.8{{c}}, a small but significant deviation. This tuning has a [[meantone]] fifth as the number of divisions of the 5th harmonic is multiple of 4. This tuning is also a [[hyperpyth]], tempering out 135/133, 171/169, 225/221, and 1521/1445 in the patent val.


=== Harmonics ===
=== Harmonics ===
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== Intervals ==
== Intervals ==
{| class="wikitable mw-collapsible"
{| class="wikitable center-1 right-2 mw-collapsible"
|+ Intervals of 56ed5
|-
|-
! #
! #
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| 5/1
| 5/1
|}
|}
== See also ==
* [[14edf]] – relative edf
* [[24edo]] – relative edo
* [[38edt]] – relative edt
* [[62ed6]] – relative ed6
* [[83ed11]] – relative ed11
* [[86ed12]] – relative ed12
* [[198ed304]] – close to the zeta-optimized tuning for 24edo
[[Category:24edo]]