506edo: Difference between revisions

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506edo is a strong 5-limit system, correcting [[253edo]]'s mapping for 5. It tunes a number of strong 5-limit temperaments like [[vishnu]], [[monzismic]], and [[lafa]]. It also tunes [[stockhausenic]] and [[geb]] temperaments. 506e val tempers out the [[swetisma]] and tunes [[hades]].

506edo is a strong 5-limit system, correcting [[253edo]]'s mapping for 5. It tunes a number of strong 5-limit temperaments like [[vishnu]], [[monzismic]], and [[lafa]]. It also tunes [[stockhausenic]] and [[geb]] temperaments. The 506e [[val]] [[tempering out|tempers out]] the [[swetisma]] and tunes [[hades]].

506edo tempers out the [[~~Major Arcana~~]] comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the [[palladium]] temperament in the 5-limit.

506edo tempers out the [[major arcana]] comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the [[palladium]] temperament in the 5-limit.

=== Prime harmonics ===

=== Subsets and supersets ===

[[1012edo]], which is a zeta edo, provides correction for the 13-limit.

Since 506 factors into {{factorization|506}}, 506edo has subset edos {{EDOs| 2, 11, 22, 23, 46, and 253 }}. [[1012edo]], which is a [[zeta edo]], provides correction for the 13-limit.

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 {{EDO intro|506}}
-edo is a strong 5-limit system, correcting [[253edo]]'s mapping for 5. It tunes a number of strong 5-limit temperaments like [[vishnu]], [[monzismic]], and [[lafa]]. It also tunes [[stockhausenic]] and [[geb]] temperaments. 506e val tempers out the [[swetisma]] and tunes [[hades]].
+edo is a strong 5-limit system, correcting [[253edo]]'s mapping for 5. It tunes a number of strong 5-limit temperaments like [[vishnu]], [[monzismic]], and [[lafa]]. It also tunes [[stockhausenic]] and [[geb]] temperaments. The 506e [[val]] [[tempering out|tempers out]] the [[swetisma]] and tunes [[hades]].
-edo tempers out the [[Major Arcana]] comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the [[palladium]] temperament in the 5-limit.
+edo tempers out the [[major arcana]] comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the [[palladium]] temperament in the 5-limit.
 === Prime harmonics ===
-{{harmonics in equal|506}}
+{{Harmonics in equal|506}}
 === Subsets and supersets ===
-[[1012edo]], which is a zeta edo, provides correction for the 13-limit.
+Since 506 factors into {{factorization|506}}, 506edo has subset edos {{EDOs| 2, 11, 22, 23, 46, and 253 }}. [[1012edo]], which is a [[zeta edo]], provides correction for the 13-limit.