User:Xenji/Redundancy: Difference between revisions
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'''Redundancy''' is one look which makes a tuning system a tuning ''system''. | |||
{{w|Gregory Bateson}} has this to say about redundancy in his article ''Style, Grace, and Information in Primitive Art'': | |||
Gregory Bateson has this to say about redundancy in his article | |||
''Any aggregate of events or objects (e.g., a sequence of phonemes, a painting, or a frog, or a culture) shall be said to contain "redundancy" or "pattern" if the aggregate can be divided in any way by a "slash mark," such that an observer perceiving only what is on one side of the slash mark can'' guess'', with better than random success, what is on the other side of the slash mark. We may say that what is on one side of the slash contains'' information ''or has'' meaning ''about what is on the other side. Or, in engineer's language, the aggregate contains "redundancy."'' | ''Any aggregate of events or objects (e.g., a sequence of phonemes, a painting, or a frog, or a culture) shall be said to contain "redundancy" or "pattern" if the aggregate can be divided in any way by a "slash mark," such that an observer perceiving only what is on one side of the slash mark can'' guess'', with better than random success, what is on the other side of the slash mark. We may say that what is on one side of the slash contains'' information ''or has'' meaning ''about what is on the other side. Or, in engineer's language, the aggregate contains "redundancy."'' | ||
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* [[harmony]] influenced by a theory of [[consonance]] | * [[harmony]] influenced by a theory of [[consonance]] | ||
** more than one pitch sounding together & their distinctness blurring | ** more than one pitch sounding together & their distinctness blurring | ||
** if pitch 'y' appears in the | ** if pitch 'y' appears in the harmonic series of pitch 'x', when pitch 'x' is sounding (on a harmonic instrument), pitch 'y' will also sound (although might not be identifiable as a distinct pitch) - so building a scale which contains both 'x' & 'y' is redundant | ||
* [[octave equivalence]] | * [[octave equivalence]] | ||
** B-flat considered equivalent to B-flat an octave higher... | ** B-flat considered equivalent to B-flat an octave higher... | ||
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** less redundant extensions: [[MOS Cradle]] or [[Second_Order_MOS|Second Order MOS]] | ** less redundant extensions: [[MOS Cradle]] or [[Second_Order_MOS|Second Order MOS]] | ||
* matching tuning to timbre | * matching tuning to timbre | ||
** eg. rational intonation - selecting pitches which are copied in the [[ | ** eg. rational intonation - selecting pitches which are copied in the [[harmonic series]] of other intervals | ||
** eg. Indonesian gamelan tuning - the scale is made to match the inharmonic pitches of the metals used in building the instruments | ** eg. Indonesian gamelan tuning - the scale is made to match the inharmonic pitches of the metals used in building the instruments | ||
** octaves in the high range of a piano are routinely stretched to fit with the "distorted" sound of the high-tension strings | ** octaves in the high range of a piano are routinely stretched to fit with the "distorted" sound of the high-tension strings | ||
* matching timbre to tuning | * matching timbre to tuning | ||
** the reverse of the above: making a timbre (usually with a computer) to "match" a stipulated tuning | ** the reverse of the above: making a timbre (usually with a computer) to "match" a stipulated tuning | ||
[[Category:Essays]] | |||