MOS inflection: Difference between revisions

BudjarnLambeth (talk | contribs)
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If we take a MOS scale, and adjust one or more its notes up or down by some ''other'' consistent interval besides a chroma, we instead obtain an inflected MOS scale. This process is called '''MOS inflection'''.
If we take a MOS scale, and adjust one or more its notes up or down by some ''other'' consistent interval besides a chroma, we instead obtain an inflected MOS scale. This process is called '''MOS inflection'''.


An inflected MOS lacks many useful structural properties of a MODMOS, most importantly [[epimorphism]]. Compared to a MODMOS, it also preserves less of the character of the original MOS scale, which could be useful or detrimental depending on one’s goals in making the scale.
A scale being a MODMOS guarantees a number of useful characteristics, most importantly [[epimorphism]]. A MOS inflection ''might'' sometimes have these properties, but it often doesn't. Compared to a MODMOS, it also typically preserves less of the 'character' of the original MOS scale, which could be useful or detrimental depending on one’s goals in making the scale.


== Types of MOS inflection ==
== Types of MOS inflection ==
{{Idiosyncratic terms|The terms for the different kinds of MOS inflection, proposed by [[Budjarn Lambeth]]}}


It’s likely that many more types could be conceived of. Feel free to edit this page and add any which you find useful or interesting.
It’s likely that many more types could be conceived of. Feel free to edit this page and add any which you find useful or interesting.
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This will result in a scale which is a subset of some larger MOS scale with the same generator and period.
This will result in a scale which is a subset of some larger MOS scale with the same generator and period.


Compared to other forms of MOS inflection, a robust inflected MOS more closely preserves the harmonic flavors of the original MOS, though it still doesn’t preserve them as well as a MODMOS would.
Compared to other types of MOS inflection, robust MOS inflection more closely preserves the harmonic flavors of the original MOS, though it still doesn’t preserve them as well as a MODMOS would.


For example, if you take this [[Negri]][8] MOS:
For example, if you take this [[Negri]][8] MOS:
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* 1200.000
* 1200.000


Then alter two of its steps by increments of 125.373 [[cents]], and then [[octave reduce]] the result, you get the following robust inflected MOS:
Then alter two of its steps by increments of 125.373 [[cents]], and then [[octave reduction|octave-reduce]] the result, you get the following robust inflected MOS:


* 125.373
* 125.373
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Aspirational MOS inflection may be conducted with similar goals to [[well temperament]]: it may be used to blunt the rough edges of an MOS by sanding over one or two of its [[wolf interval]]s.
Aspirational MOS inflection may be conducted with similar goals to [[well temperament]]: it may be used to blunt the rough edges of an MOS by sanding over one or two of its [[wolf interval]]s.


[[Category:MOS scale]][[Category:MODMOS]]
[[Category:MOS scale]]