Naive scale: Difference between revisions
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'''Naive scale''' is a replication of a specific scale, usually MOS, through applying accidentals to an equitonic scale in a composite EDO. | '''Naive scale''' is a replication of a specific scale, usually MOS, through applying accidentals to an [[equitonic scale]] in a [[composite EDO]]. | ||
Despite not being "in tune" or adhering to JI approximations, naive scales can sound just as effective as their progenitors due to perception of melody contour. | Despite not being "in tune" or adhering to [[JI|JI approximations]], naive scales can sound just as effective as their progenitors due to perception of melody contour. | ||
== Examples == | == Examples == | ||
=== Diatonic scales in 7N-edos === | === Diatonic scales in 7N-edos === | ||
Major and minor scales can be replicated in | Major and minor scales can be replicated in [[edo]]s divisible by 7 through raising or lowering the III, VI, and VII degrees of the [[7edo|equal 7-tone scale]] respectively. | ||
For example, [[28edo]] has a minor third that is 7 steps wide and 1\7 of the octave is 4 steps wide. This means that the minor third is 1 step below 2 equiheptatonic steps, and therefore 1 step is the amount by which the degrees should be lowered. This produces a 0-4-9-12-16-21-25-28, or 4534543 scale. Likewise, minor scale is rendered through 0-4-7-12-16-19-23-28, or 4354345. | For example, [[28edo]] has a [[minor third]] that is 7 steps wide and 1\7 of the [[octave]] is 4 steps wide. This means that the minor third is 1 step below 2 [[equiheptatonic]] steps, and therefore 1 step is the amount by which the degrees should be lowered. This produces a 0-4-9-12-16-21-25-28, or 4534543 scale. Likewise, minor scale is rendered through 0-4-7-12-16-19-23-28, or 4354345. | ||
Such a scale is also similar to [[zarlino]]. | |||
=== Orwell scales in 9N and 13N-edos === | === Orwell scales in 9N and 13N-edos === | ||
While major and minor scales have defined different steps that allow for simple substitution, orwell scales are significantly different in that there's more than one variant. | While major and minor scales have defined different steps that allow for simple substitution, orwell scales are significantly different in that there's more than one variant. | ||
=== Dodecaphony and 12N-edos === | |||
In EDOs that are a multiple of 12, naive scales are a form of [[xenharmonic|xenharmonically]] modified dodecaphony, which in [[12edo]] means using all 12 notes of the temperament without favouring a particular note, key, or scale. | |||
[[Category:Scale]] | |||
Latest revision as of 04:12, 4 September 2025
Naive scale is a replication of a specific scale, usually MOS, through applying accidentals to an equitonic scale in a composite EDO.
Despite not being "in tune" or adhering to JI approximations, naive scales can sound just as effective as their progenitors due to perception of melody contour.
Examples
Diatonic scales in 7N-edos
Major and minor scales can be replicated in edos divisible by 7 through raising or lowering the III, VI, and VII degrees of the equal 7-tone scale respectively.
For example, 28edo has a minor third that is 7 steps wide and 1\7 of the octave is 4 steps wide. This means that the minor third is 1 step below 2 equiheptatonic steps, and therefore 1 step is the amount by which the degrees should be lowered. This produces a 0-4-9-12-16-21-25-28, or 4534543 scale. Likewise, minor scale is rendered through 0-4-7-12-16-19-23-28, or 4354345.
Such a scale is also similar to zarlino.
Orwell scales in 9N and 13N-edos
While major and minor scales have defined different steps that allow for simple substitution, orwell scales are significantly different in that there's more than one variant.
Dodecaphony and 12N-edos
In EDOs that are a multiple of 12, naive scales are a form of xenharmonically modified dodecaphony, which in 12edo means using all 12 notes of the temperament without favouring a particular note, key, or scale.