186zpi: Difference between revisions

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== Intervals and notation ==

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 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).

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 fifths (3/2). The closest one, from the val <124 197] (i.e. the patent val), is the 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 fifth, which appears in 124ed8, also corresponds to the 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 124edo at every 3-degree. column 1 = ups and downs notation in full, column 2 = ups and down notation abbreviated, column 3 = octave }}

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

{| class="wikitable center-all left-1 right-2 left-3"

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 == Intervals and notation ==
-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 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).
+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 fifths (3/2). The closest one, from the val <124 197] (i.e. the patent val), is the 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 fifth, which appears in 124ed8, also corresponds to the 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 124edo at every 3-degree. column 1 = ups and downs notation in full, column 2 = ups and down notation abbreviated, column 3 = octave }}
+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].{{Todo|complete table|inline=1|comment=Incorporate 3 new columns for ups and downs notation from 124edo at every 3-degree. column 1 = ups and downs notation in full, column 2 = ups and down notation abbreviated, column 3 = octave }}
 {| class="wikitable center-all left-1 right-2 left-3"