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4:5:6:7:11: Difference between revisions

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Created page with "{{Infobox chord}} '''4:5:6:7:11''', the ''harmonic seventh added-eleventh chord'', is a pentad in the 11-limit. It is a subset of 4:5:6:7:9:11, the harmonic eleventh chord. This chord can be modified by inflecting the 5/4 down by 25/24, the 7/4 down by 49/48, and the 11/4 down by 33/32 to get a 7-limit utonal minor counterpart 1–6/5–3/2–12/7–8/3, which is the inverse of 4:5:6:7:9|1–5/4–3/2..."
 
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This chord can be modified by inflecting the [[5/4]] down by [[25/24]], the [[7/4]] down by [[49/48]], and the [[11/4]] down by [[33/32]] to get a [[7-limit]] utonal minor counterpart [[210:252:315:360:560|1–6/5–3/2–12/7–8/3]], which is the inverse of [[4:5:6:7:9|1–5/4–3/2–7/4–9/4]]. The chord's own inverse is [[770:924:1155:1320:1680|1–6/5–3/2–12/7–24/11]]. These four chords form a quadruplet in the [[11-odd-limit]], all being subsets of [[4:5:6:7:9:11|1–5/4–3/2–7/4–9/4–11/4]] and [[2310:2772:3465:3960:5040:6160|1–6/5–3/2–12/7–24/11–8/3]].
This chord can be modified by inflecting the [[5/4]] down by [[25/24]], the [[7/4]] down by [[49/48]], and the [[11/4]] down by [[33/32]] to get a [[7-limit]] utonal minor counterpart [[210:252:315:360:560|1–6/5–3/2–12/7–8/3]], which is the inverse of [[4:5:6:7:9|1–5/4–3/2–7/4–9/4]]. The chord's own inverse is [[770:924:1155:1320:1680|1–6/5–3/2–12/7–24/11]]. These four chords form a quadruplet in the [[11-odd-limit]], all being subsets of [[4:5:6:7:9:11|1–5/4–3/2–7/4–9/4–11/4]] and [[2310:2772:3465:3960:5040:6160|1–6/5–3/2–12/7–24/11–8/3]].
{{chord edo approximation}}
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