283edo: Difference between revisions

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~~The 283 equal temperament divides~~ the [[~~Octave~~|~~octave~~]] ~~into 283 equal parts of 4~~.~~240~~ [[~~cent~~|~~cent~~]]~~s each~~. It is closely associated with the sensamagic comma, 245/243, defining the [[~~Optimal_patent_val|~~optimal patent val]] for the sensamagic [[~~7-limit|~~7-limit]] [[~~Planar_Temperament|~~planar temperament]] as well as [[~~Sensamagic_clan|sensa temperament~~]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[~~11-limit|~~11-limit]], and 352/351 and 625/624 in the [[13-limit|~~13-limit~~]].

[[Category:~~edo~~]]

[[Category:~~nano~~]]

283edo is in[[consistent]] to the [[5-odd-limit]] and the [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise it is good in approximating harmonics [[5/1|5]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[17/1|17]], [[19/1|19]], [[21/1|21]], and [[23/1|23]], making it suitable for a 2.9.5.21.11.13.17.19.23 [[subgroup]] interpretation.

Using the [[patent val]] nonetheless, the equal temperament is closely associated with the [[245/243|sensamagic comma (245/243)]], defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[escaped]], which tempers out both 245/243 and [[65625/65536]] in the 7-limit, [[385/384]] and [[4000/3993]] in the [[11-limit]], and [[352/351]] and [[625/624]] in the [[13-limit]].

=== Odd harmonics ===

=== Subsets and supersets ===

283edo is the 61st [[prime edo]].

[[Category:Sensamagic]]

[[Category:Escaped]]

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-The 283 equal temperament divides the [[Octave|octave]] into 283 equal parts of 4.240 [[cent|cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[Optimal_patent_val|optimal patent val]] for the sensamagic [[7-limit|7-limit]] [[Planar_Temperament|planar temperament]] as well as [[Sensamagic_clan|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit|11-limit]], and 352/351 and 625/624 in the [[13-limit|13-limit]].
+{{Infobox ET}}
-[[Category:edo]]
+{{ED intro}}
-[[Category:nano]]
+edo is in[[consistent]] to the [[5-odd-limit]] and the [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise it is good in approximating harmonics [[5/1|5]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[17/1|17]], [[19/1|19]], [[21/1|21]], and [[23/1|23]], making it suitable for a 2.9.5.21.11.13.17.19.23 [[subgroup]] interpretation.
+Using the [[patent val]] nonetheless, the equal temperament is closely associated with the [[245/243|sensamagic comma (245/243)]], defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[escaped]], which tempers out both 245/243 and [[65625/65536]] in the 7-limit, [[385/384]] and [[4000/3993]] in the [[11-limit]], and [[352/351]] and [[625/624]] in the [[13-limit]].
+=== Odd harmonics ===
+{{Harmonics in equal|283}}
+=== Subsets and supersets ===
+edo is the 61st [[prime edo]].
+[[Category:Sensamagic]]
+[[Category:Escaped]]