4L 3s: Difference between revisions

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=== Primodal chords ===
=== Primodal chords ===
=== Nejis ===
=== Nejis ===
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== Temperaments ==
== Rank-2 temperaments ==
:''Main article: [[4L 3s/Temperaments]]''
=== Myna (27&31) ===
=== Kleismic (19&15, 2.3.5.7) ===
=== Orgone (15&11, 2.7.11) ===
=== Sixix (18&25) ===
[[Sixix]] can be viewed as a [[dual-fifth]] temperament, i.e. a temperament on the 2.3+.3-.5 "subgroup" (3+ = sharp 3, 3- = flat 3):
* It has both a sharp fifth and a flat fifth but no near-just 3/2.
* Combining the sharp fifth and the flat fifth yields a good approximation of 9/8; two 9/8's make a 5/4, so it tempers out 81/80 in the underlying 2.9.5 subgroup.
* The chroma of sixix[7] is the difference between the sharp fifth and the flat fifth, and functions much like a(n untempered) comma in sixix harmony, giving two slightly different flavors of fifths, minor thirds, major thirds, etc, much like in [[porcupine]] harmony. Tempering out this comma leads to [[7edo]].


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== Samples ==
== Samples ==
[[File:Sixix Fugue.mp3]] A fugue in [[18edo]] smitonic (WIP)
[[File:Sixix Fugue.mp3]] A fugue in [[18edo]] smitonic (WIP)