3rd-octave temperaments: Difference between revisions
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{{Infobox fractional-octave|3}}[[3edo]] is much less used as a scale, rather as a chord. In many [[5L 2s|diatonic-based]] [[interval region]] schemes, one step of 3edo is known as a major third, and the stacking of them is the augmented triad. | {{Infobox fractional-octave|3}} | ||
[[3edo]] is much less used as a scale, rather as a chord. In many [[5L 2s|diatonic-based]] [[interval region]] schemes, one step of 3edo is known as a major third, and the stacking of them is the augmented triad. | |||
Usage of the [[5/4]] major third as one step of 3edo by tempering out [[128/125]], and therefore using 3edo as a augmented triad produced by stacking two major thirds is one of the features of standard Western music theory, and is supported by [[12edo]]. See [[Augmented family]] for a collection of such temperaments. | Usage of the [[5/4]] major third as one step of 3edo by tempering out [[128/125]], and therefore using 3edo as a augmented triad produced by stacking two major thirds is one of the features of standard Western music theory, and is supported by [[12edo]]. See [[Augmented family]] for a collection of such temperaments. | ||
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* [[Very low accuracy temperaments #Alteraugment|Alteraugment]] | * [[Very low accuracy temperaments #Alteraugment|Alteraugment]] | ||
* [[Very low accuracy temperaments #Ternary|Ternary]] | * [[Very low accuracy temperaments #Ternary|Ternary]] | ||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||
{{Todo| review }} | {{Todo| review }} | ||