Bozuji tuning: Difference between revisions

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== Summary ==

Bozuji tuning is a [[5-limit|5-limit just intonation]] tuning set with specified intervals proposed by [[Bostjan Zupancic]] ('''Bo'''stjan '''Zu'''pancic '''J'''ust '''I'''ntonation). The approach to generating the intervals is somewhat unique, as all intervals were generated by choosing adaptive step sizes (which have been shown to work with software keyboards) and stepping through scales with different tonalities. The tuning contains 23 intervals per [[octave]], and it is intended to be an expansion of [[wikipedia:Ptolemy's_intense_diatonic_scale|Ptolemy's Intense Diatonic Scale]].

Bozuji tuning is a [[5-limit|5-limit just intonation]] tuning set with specified intervals proposed by [[Bostjan Zupancic]] ('''Bo'''stjan '''Zu'''pancic '''J'''ust '''I'''ntonation), which are closely related to the tones available in meantone temperament. The approach to generating the intervals is somewhat unique, as all intervals were generated by choosing adaptive step sizes (which have been shown to work with software keyboards) and stepping through scales with different tonalities. The tuning contains 23 intervals per [[octave]], and it is intended to be an expansion of [[wikipedia:Ptolemy's_intense_diatonic_scale|Ptolemy's Intense Diatonic Scale]].

== Interval Base ==

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== Approximation by Equal Temperaments ==

As Zarlino's system of tuning ended up being pretty well approximated by the (later developed) [[12edo|12-EDO]], some subsets of this system are represented rather well by it.

As Zarlino's system of tuning ended up being pretty well approximated by the (later developed) [[12edo|12-EDO]], some subsets of this system are represented rather well by it, as are most meantone temperaments.

[[19edo|19-EDO]] is also representative of Bozuji with the limitation of adjacent diminished and augmented imperfect tones being enharmonically equivalent to one another. Since scales with combinations of those are discouraged by the limitations of step sizes, though, that may not be a significant concern. With that in mind, 19-EDO is basically analogous to this tuning as much as 12-EDO is to Zarlino's system.

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Adapting this approach to include more intervals should simply be a matter of choosing the best ratio to represent their relationships to unison, and then number-crunching, but it is not a trivial task.

Scales and other higher rank temperaments that sound more xenharmonically exotic (for example [[Orwell]]), are poorly represented; however, the bulk of the potential applications of augmented and diminished constructions within the tuning are quite unusual to most listeners with little experience outside of music composed outside of Western Classical Music Theory, in spite of the fact that the tones are constructed strictly within the guidelines of that music theory.

[[Category:Just intonation]]

[[Category:5-limit]]

[[Category:23-tone]]

[[Category:Ergotonic]]

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 == Summary ==
-Bozuji tuning is a [[5-limit|5-limit just intonation]] tuning set with specified intervals proposed by [[Bostjan Zupancic]] ('''Bo'''stjan '''Zu'''pancic '''J'''ust '''I'''ntonation).  The approach to generating the intervals is somewhat unique, as all intervals were generated by choosing adaptive step sizes (which have been shown to work with software keyboards) and stepping through scales with different tonalities.  The tuning contains 23 intervals per [[octave]], and it is intended to be an expansion of [[wikipedia:Ptolemy's_intense_diatonic_scale|Ptolemy's Intense Diatonic Scale]].
+Bozuji tuning is a [[5-limit|5-limit just intonation]] tuning set with specified intervals proposed by [[Bostjan Zupancic]] ('''Bo'''stjan '''Zu'''pancic '''J'''ust '''I'''ntonation), which are closely related to the tones available in meantone temperament.  The approach to generating the intervals is somewhat unique, as all intervals were generated by choosing adaptive step sizes (which have been shown to work with software keyboards) and stepping through scales with different tonalities.  The tuning contains 23 intervals per [[octave]], and it is intended to be an expansion of [[wikipedia:Ptolemy's_intense_diatonic_scale|Ptolemy's Intense Diatonic Scale]].
 == Interval Base ==
@@ Line 329: / Line 329: @@
 == Approximation by Equal Temperaments ==
-As Zarlino's system of tuning ended up being pretty well approximated by the (later developed) [[12edo|12-EDO]], some subsets of this system are represented rather well by it.
+As Zarlino's system of tuning ended up being pretty well approximated by the (later developed) [[12edo|12-EDO]], some subsets of this system are represented rather well by it, as are most meantone temperaments.
 [[19edo|19-EDO]] is also representative of Bozuji with the limitation of adjacent diminished and augmented imperfect tones being enharmonically equivalent to one another.  Since scales with combinations of those are discouraged by the limitations of step sizes, though, that may not be a significant concern.  With that in mind, 19-EDO is basically analogous to this tuning as much as 12-EDO is to Zarlino's system.
@@ Line 339: / Line 339: @@
 Adapting this approach to include more intervals should simply be a matter of choosing the best ratio to represent their relationships to unison, and then number-crunching, but it is not a trivial task.
+Scales and other higher rank temperaments that sound more xenharmonically exotic (for example [[Orwell]]), are poorly represented; however, the bulk of the potential applications of augmented and diminished constructions within the tuning are quite unusual to most listeners with little experience outside of music composed outside of Western Classical Music Theory, in spite of the fact that the tones are constructed strictly within the guidelines of that music theory.
 [[Category:Just intonation]]
 [[Category:5-limit]]
 [[Category:23-tone]]
 [[Category:Ergotonic]]