7980edo: Difference between revisions

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'''7980EDO''' is the [[EDO|equal division of the octave]] into 7980 parts of exact 0.1503759 cents each. It is a very strong 5-limit system, tempering out |161 -84 -12> ([[Kirnberger's atom]]) and |-1054 665> ([[satanic comma]]), as well as |73 77 -84> and |234 -7 -96>. In the 7-limit, it tempers out 78125000/78121827, 140737488355328/140710042265625, and |-17 50 1 -23>. Using the patent val, it tempers out 9801/9800, 47265625/47258883, 39630026842637/39627113103360, and 163470238547968/163443018796875 in the 11-limit.

[[Category:Equal divisions of the octave]]

== Theory ==

[[Category:~~satanic~~]]

It is a very strong 5-limit system, tempering out [[Kirnberger's atom]] ({{monzo|161 -84 -12}}) and the [[satanic comma]] ({{monzo|1054 665}}), as well as {{monzo|73 77 -84}} and {{monzo|234 -7 -96}}.

[[Category:~~atomic~~]]

In the 7-limit, it tempers out the [[euzenius comma]] (78125000/78121827), the [[akjaysma]] (140737488355328/140710042265625), and {{monzo|-17 50 1 -23}}.

In the 11-limit, using the [[patent val]], it tempers out the [[kalisma]] (9801/9800), 47265625/47258883, 39630026842637/39627113103360, and 163470238547968/163443018796875.

{{todo|inline=1|review|comment=Are the 7-limit and 11-limit descriptions musically relevant?}}

[[Category:Equal divisions of the octave|####]]

[[Category:Atomic]]

[[Category:Satanic]]

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-'''7980EDO''' is the [[EDO|equal division of the octave]] into 7980 parts of exact 0.1503759 cents each. It is a very strong 5-limit system, tempering out |161 -84 -12&gt; ([[Kirnberger's atom]]) and |-1054 665&gt; ([[satanic comma]]), as well as |73 77 -84&gt; and |234 -7 -96&gt;. In the 7-limit, it tempers out 78125000/78121827, 140737488355328/140710042265625, and |-17 50 1 -23&gt;. Using the patent val, it tempers out 9801/9800, 47265625/47258883, 39630026842637/39627113103360, and 163470238547968/163443018796875 in the 11-limit.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Equal divisions of the octave]]
+== Theory ==
-[[Category:satanic]]
+It is a very strong 5-limit system, tempering out [[Kirnberger's atom]] ({{monzo|161 -84 -12}}) and the [[satanic comma]] ({{monzo|1054 665}}), as well as {{monzo|73 77 -84}} and {{monzo|234 -7 -96}}.
-[[Category:atomic]]
+In the 7-limit, it tempers out the [[euzenius comma]] (78125000/78121827), the [[akjaysma]] (140737488355328/140710042265625), and {{monzo|-17 50 1 -23}}.
+In the 11-limit, using the [[patent val]], it tempers out the [[kalisma]] (9801/9800), 47265625/47258883, 39630026842637/39627113103360, and 163470238547968/163443018796875.
+{{todo|inline=1|review|comment=Are the 7-limit and 11-limit descriptions musically relevant?}}
+{{Harmonics in equal|7980}}
+[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+[[Category:Atomic]]
+[[Category:Satanic]]