283edo: Difference between revisions

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The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], 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]].

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

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.

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

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]].

[[Category:~~Prime EDO~~]]

[[Category:~~Nano~~]]

=== 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]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], 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]].
+{{Infobox ET}}
+{{ED intro}}
-edo is the 61st [[prime EDO]].
+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.
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+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]].
-[[Category:Prime EDO]]
-[[Category:Nano]]
+=== Odd harmonics ===
+{{Harmonics in equal|283}}
+=== Subsets and supersets ===
+edo is the 61st [[prime edo]].
+[[Category:Sensamagic]]
+[[Category:Escaped]]