EDO: Difference between revisions

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Some EDOs, such as {{EDOs| 26, 27, 32, 33, or 37 }} have fifths which are reasonably good but quite audibly not just. Other EDOs, such as {{EDOs| 11, 13, 14, 15, 16, 18, 20, 21, 23, or 25 }}, are of interest to the avid seeker of totally unusual sounds that have next-to-no connection with the common practice.

If your interest lies in the nuanced approximation of just intonation through EDOs, then delving into EDOs characterized by a strong [[The Riemann zeta function and tuning|local Zeta peak]] could be especially captivating. Such EDOs, including [[12edo|12]], [[19edo|19]], [[22edo|22]], [[27edo|27]], [[31edo|31]], [[34edo|34]], [[41edo|41]], [[46edo|46]], [[53edo|53]], [[58edo|58]], [[60edo|60]], [[65edo|65]], [[68edo|68]], [[72edo|72]], [[77edo|77]], [[80edo|80]], [[84edo|84]], [[87edo|87]], [[94edo|94]], and [[99edo|99]], offer rich avenues for exploration in the quest for harmonic purity and transparent [[temperament]]~~<nowiki/>s~~.

If your interest lies in the nuanced approximation of just intonation through EDOs, then delving into EDOs characterized by a strong [[The Riemann zeta function and tuning|local Zeta peak]] could be especially captivating. Such EDOs, including [[12edo|12]], [[19edo|19]], [[22edo|22]], [[27edo|27]], [[31edo|31]], [[34edo|34]], [[41edo|41]], [[46edo|46]], [[53edo|53]], [[58edo|58]], [[60edo|60]], [[65edo|65]], [[68edo|68]], [[72edo|72]], [[77edo|77]], [[80edo|80]], [[84edo|84]], [[87edo|87]], [[94edo|94]], and [[99edo|99]], offer rich avenues for exploration in the quest for harmonic purity and transparent [[temperament|temperaments]].

EDOs can be further subdivided and classified according to the size of the fifth, such as with [[Margo Schulter]]'s [[gentle region]] or the distinction between negative, positive, doubly negative and doubly positive of [[R. H. M. Bosanquet]]. [[Kite Giedraitis]] has proposed these six categories, based on the size of the fifth. From narrowest to widest:

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 Some EDOs, such as {{EDOs| 26, 27, 32, 33, or 37 }} have fifths which are reasonably good but quite audibly not just. Other EDOs, such as {{EDOs| 11, 13, 14, 15, 16, 18, 20, 21, 23, or 25 }}, are of interest to the avid seeker of totally unusual sounds that have next-to-no connection with the common practice.
-If your interest lies in the nuanced approximation of just intonation through EDOs, then delving into EDOs characterized by a strong [[The Riemann zeta function and tuning|local Zeta peak]] could be especially captivating. Such EDOs, including [[12edo|12]], [[19edo|19]], [[22edo|22]], [[27edo|27]], [[31edo|31]], [[34edo|34]], [[41edo|41]], [[46edo|46]], [[53edo|53]], [[58edo|58]], [[60edo|60]], [[65edo|65]], [[68edo|68]], [[72edo|72]], [[77edo|77]], [[80edo|80]], [[84edo|84]], [[87edo|87]], [[94edo|94]], and [[99edo|99]], offer rich avenues for exploration in the quest for harmonic purity and transparent [[temperament]]<nowiki/>s.
+If your interest lies in the nuanced approximation of just intonation through EDOs, then delving into EDOs characterized by a strong [[The Riemann zeta function and tuning|local Zeta peak]] could be especially captivating. Such EDOs, including [[12edo|12]], [[19edo|19]], [[22edo|22]], [[27edo|27]], [[31edo|31]], [[34edo|34]], [[41edo|41]], [[46edo|46]], [[53edo|53]], [[58edo|58]], [[60edo|60]], [[65edo|65]], [[68edo|68]], [[72edo|72]], [[77edo|77]], [[80edo|80]], [[84edo|84]], [[87edo|87]], [[94edo|94]], and [[99edo|99]], offer rich avenues for exploration in the quest for harmonic purity and transparent [[temperament|temperaments]].
 EDOs can be further subdivided and classified according to the size of the fifth, such as with [[Margo Schulter]]'s [[gentle region]] or the distinction between negative, positive, doubly negative and doubly positive of [[R. H. M. Bosanquet]]. [[Kite Giedraitis]] has proposed these six categories, based on the size of the fifth. From narrowest to widest: