3rd-octave temperaments: Difference between revisions
Created page with "{{Infobox fractional-octave|3}}3edo is much less used as a scale, rather as a chord. In many 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..." Tags: Mobile edit Mobile web edit |
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There are nonetheless other less common temperaments which divide the octave in three. | There are nonetheless other less common temperaments which divide the octave in three. | ||
Temperaments discussed elsewhere are: | |||
* [[Augmented family]] | |||
* [[Misty family]] | |||
* [[Landscape microtemperaments]] | |||
* [[Very low accuracy temperaments #Alteraugment|Alteraugment]] | |||
* [[Very low accuracy temperaments #Ternary|Ternary]] | |||
== Argument == | == Argument == | ||
Argument temperament tempers out | Argument temperament tempers out [[1372/1331]] in the 2.7.11 subgroup. | ||
[[Subgroup]]: 2.7.11 | |||
[[Comma list]]: 1372/1331 | [[Comma list]]: 1372/1331 | ||
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[[Badness]] (Sintel): 0.475 | [[Badness]] (Sintel): 0.475 | ||
== Deviaug == | |||
Deviaug temperament tempers out [[6912/6859]] in the 2.3.19 subgroup. | |||
[[Subgroup]]: 2.3.19 | |||
[[Comma list]]: 6912/6859 | |||
{{Mapping|legend=2| 3 0 8 | 0 1 1 }} | |||
: sval mapping generators: ~24/19, ~3 | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~24/19 = 400.000{{c}} (1\3), ~3/2 = 701.412{{c}} | |||
* [[CWE]]: ~24/19 = 400.000{{c}} (1\3), ~3/2 = 701.881{{c}} | |||
{{Optimal ET sequence|legend=1| 9, 12, 75, 87, 99, 111, 123h }} | |||
[[Badness]] (Sintel): 0.237 | |||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||
{{Todo| review }} | {{Todo| review }} | ||