4ed5/2: Difference between revisions
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{{Mathematical interest}} | |||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
== Theory == | |||
4ed5/2 is [[3edo]] with the [[2/1|octave]] compressed by about 10 cents, or [[7ed5]] with the [[5/1|5th harmonic]] compressed by the same amount. It therefore can be considered as an overcompressed 2.5-subgroup temperament tempering out [[128/125]]. | |||
=== Harmonics === | |||
{{Harmonics in equal|4|5|2}} | |||
=== Subsets and supersets === | |||
4ed5/2 is the first composite ed5/2, containing 2ed5/2 as the only nontrivial subset ed5/2. | |||
== Intervals == | |||
{| class="wikitable center-1 right-2" | |||
|+ | |||
! # | |||
! Cents | |||
! Approximated ratio | |||
|- | |||
| 0 | |||
| 0 | |||
| 1/1 | |||
|- | |||
| 1 | |||
| 397 | |||
| 5/4 | |||
|- | |||
| 2 | |||
| 793 | |||
| 8/5 | |||
|- | |||
| 3 | |||
| 1190 | |||
| 2/1 | |||
|- | |||
| 4 | |||
| 1586 | |||
| 5/2 | |||
|} | |||