186zpi: Difference between revisions

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There are several ways to approach notation. The simplest method involves using the notations from [[41edo]]. However, this method does not preserve octave compression when rendered by [[List of music software|notation software]]. To address this issue, consider using the [[ups and downs notation]] from [[124edo]] at every 3-degree step (i.e., the [[edonoi]] [[124ed8]]).

It is important to note that [[124edo]] provides two possible [[3/2|fifths (3/2)]]. The closest one, from the [[val]] <124 197] (i.e. the [[patent val]]), is the [[3/2|fifth]] mapped to 73 steps of [[124edo]] with a [[relative error]] of +4.5%. The second closest, from the [[val]] <124 196] (i.e. the [[val]] 124b), is mapped to 72 steps of [[124edo]] with a [[relative error]] of -5.18%. This second [[3/2|fifth]], which appears in [[124ed8]], also corresponds to the [[3/2|fifth]] of [[31edo]]. Therefore, we choose to use the [[ups and downs notation]] of the 124b temperament, denoted as <124 196].

It is important to note that [[124edo]] provides two possible [[3/2|fifths (3/2)]]. The closest one, from the [[val]] <124 197] (i.e. the [[patent val]]), is the [[3/2|fifth]] mapped to 73 steps of [[124edo]] with a [[relative error]] of +46.465%. The second closest, from the [[val]] <124 196] (i.e. the [[val]] 124b), is mapped to 72 steps of [[124edo]] with a [[relative error]] of -53.535%. This second [[3/2|fifth]], which appears in [[124ed8]], also corresponds to the [[3/2|fifth]] of [[31edo]]. Therefore, we choose to use the [[ups and downs notation]] of the 124b temperament, denoted as <124 196].

{{Todo|complete table|inline=1|comment=Incorporate 3 new columns for ups and downs notation from 124b at every 3-degree. column 1 = ups and downs notation in full, column 2 = ups and downs notation abbreviated, column 3 = octave }}

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 There are several ways to approach notation. The simplest method involves using the notations from [[41edo]]. However, this method does not preserve octave compression when rendered by [[List of music software|notation software]]. To address this issue, consider using the [[ups and downs notation]] from [[124edo]] at every 3-degree step (i.e., the [[edonoi]] [[124ed8]]).
-It is important to note that [[124edo]] provides two possible [[3/2|fifths (3/2)]]. The closest one, from the [[val]] <124 197] (i.e. the [[patent val]]), is the [[3/2|fifth]] mapped to 73 steps of [[124edo]] with a [[relative error]] of +4.5%. The second closest, from the [[val]] <124 196] (i.e. the [[val]] 124b), is mapped to 72 steps of [[124edo]] with a [[relative error]] of -5.18%. This second [[3/2|fifth]], which appears in [[124ed8]], also corresponds to the [[3/2|fifth]] of [[31edo]]. Therefore, we choose to use the [[ups and downs notation]] of the 124b temperament, denoted as <124 196].
+It is important to note that [[124edo]] provides two possible [[3/2|fifths (3/2)]]. The closest one, from the [[val]] <124 197] (i.e. the [[patent val]]), is the [[3/2|fifth]] mapped to 73 steps of [[124edo]] with a [[relative error]] of +46.465%. The second closest, from the [[val]] <124 196] (i.e. the [[val]] 124b), is mapped to 72 steps of [[124edo]] with a [[relative error]] of -53.535%. This second [[3/2|fifth]], which appears in [[124ed8]], also corresponds to the [[3/2|fifth]] of [[31edo]]. Therefore, we choose to use the [[ups and downs notation]] of the 124b temperament, denoted as <124 196].
 {{Todo|complete table|inline=1|comment=Incorporate 3 new columns for ups and downs notation from 124b at every 3-degree. column 1 = ups and downs notation in full, column 2 = ups and downs notation abbreviated, column 3 = octave }}