1289edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1289}} == Theory == 1289edo is consistent to the 9-odd-limit. Using the patent val, it tempers out 3025/3024, 180..."
 
m Theory: nullity-1 temps are best given by commas
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== Theory ==
== Theory ==
1289edo is [[consistent]] to the [[9-odd-limit]]. Using the [[patent val]], it [[tempering out|tempers out]] [[3025/3024]], 180224/180075, [[2460375/2458624]] and 50014503/50000000 in the [[11-limit]]; 3025/3024, [[1716/1715]], [[4096/4095]], 91125/91091 and 5282739/5281250 in the [[13-limit]]. It [[support]]s [[honeybrookic]], [[totziensismic]] and [[minortone]].
1289edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it tempers out {{monzo| -16 35 -17 }} ([[minortone comma]]) in the 5-limit. Using the [[patent val]], it [[tempering out|tempers out]] [[3025/3024]], 180224/180075, [[2460375/2458624]] and 50014503/50000000 in the [[11-limit]]; [[1716/1715]], [[4096/4095]], 91125/91091 and 5282739/5281250 in the [[13-limit]]. In the 2.3.13.23.29.31 subgroup it tempers out [[19344/19343]], in the 2.3.5.7.11.23.31 subgroup [[19251/19250]].


=== Prime harmonics ===
=== Prime harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
1289edo is the 209th [[prime EDO]].
1289edo is the 209th [[prime edo]].


== Regular temperament properties ==
== Regular temperament properties ==