Keegic temperaments: Difference between revisions
Created page with "Keegic rank-two temperaments temper out the keega, {{monzo|-3 1 -3 3}} = 1029/1000, the difference three 7/5s and perfect eleventh 8/3. Temperaments discussed elsewhe..." |
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== Aurora == | == Aurora == | ||
The ''aurora'' temperament (13&21) is very strongly related to the '''golden father tuning''' (generator: <math>\frac{3-\sqrt{5}}{2}</math> octave = 458.3592135001 cents). It has a temperament structure superficially similar to [[Father family|father]], with extremely flat fourths (sub-fourths/ultra-major third) or sharp fifths (super-fifths/ultra-minor sixths). However, unlike father, 12 of these bad fourths reach a more in tune fifth, which is useful for creating resolutions when using a large enough gamut, such as the [[13L 8s]] MOS which has two good major & minor chords. | The ''aurora'' temperament (13&21) is very strongly related to the '''[[Logarithmic phi|golden father tuning]]''' (generator: <math>\frac{3-\sqrt{5}}{2}</math> octave = 458.3592135001 cents). It has a temperament structure superficially similar to [[Father family|father]], with extremely flat fourths (sub-fourths/ultra-major third) or sharp fifths (super-fifths/ultra-minor sixths). However, unlike father, 12 of these bad fourths reach a more in tune fifth, which is useful for creating resolutions when using a large enough gamut, such as the [[13L 8s]] MOS which has two good major & minor chords. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||