Dominant (temperament): Difference between revisions

Overthink (talk | contribs)
m →Tuning spectrum: bold monotone tunings
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
{{Infobox Regtemp
{{Infobox regtemp
| Title = Dominant
| Title = Dominant
| Subgroups = 2.3.5.7
| Subgroups = 2.3.5.7
| Comma basis = [[36/35]], [[64/63]]
| Comma basis = [[36/35]], [[64/63]]
| Edo join 1 = 12 | Edo join 2 = 17c
| Edo join 1 = 12 | Edo join 2 = 17c
| Generator = 3/2 | Generator tuning = 701.1 | Optimization method = CWE
| Generators = 3/2 | Generators tuning = 701.1 | Optimization method = CWE
| MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]]
| MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]]
| Mapping = 1; 1 4 -2
| Mapping = 1; 1 4 -2
Line 49: Line 49:


== Chords and harmony ==
== Chords and harmony ==
Much of 12edo harmony can be used. Dominant enables chords of [[didymic chords|didymic]] and [[archytas chords|archytas]]. The dominant seventh chord represents the harmonic seventh chord, whereas the [[German sixth chord|(German) augmented sixth chord]] is more or less equivalent to meantone's dominant seventh chord, as a tuning of [[28:35:42:50|1–5/4–3/2–25/14]].
Much of 12edo harmony can be used. Dominant enables chords of [[didymus chords|didymus]] and [[archytas chords|archytas]]. The dominant seventh chord represents the harmonic seventh chord, whereas the [[German sixth chord|(German) augmented sixth chord]] is more or less equivalent to meantone's dominant seventh chord, as a tuning of [[28:35:42:50|1–5/4–3/2–25/14]].


== Tunings ==
== Tunings ==