Generator form manipulation: Difference between revisions

Cmloegcmluin (talk | contribs)
extract from DC form
 
Cmloegcmluin (talk | contribs)
mingen form: some more stubs of stuff I need to do
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A number of generator size targets have been described, such as [[UDP#Generalizing_to_Arbitrary_MOS.27s:_Bright_and_Dark_Generators_.28Chroma-Positive_and_Chroma-Negative.29|chroma-positive generators]], and probably more will be described in the future. The generator size target we'll be demonstrating here may not have been rigorously described elsewhere, or named, but these purposes, we'll be calling it minimum-generator, or mingen, for short. Mingen form is when each successive generator is less than half the size of the previous generator.  
A number of generator size targets have been described, such as [[UDP#Generalizing_to_Arbitrary_MOS.27s:_Bright_and_Dark_Generators_.28Chroma-Positive_and_Chroma-Negative.29|chroma-positive generators]], and probably more will be described in the future. The generator size target we'll be demonstrating here may not have been rigorously described elsewhere, or named, but these purposes, we'll be calling it minimum-generator, or mingen, for short. Mingen form is when each successive generator is less than half the size of the previous generator.  
In order to define the size of the generators, you need to specify a tuning strategy. Though if you have two generators that are close enough that their size ranking depends on the tuning, then you probably have other problems. In any case, the tuning strategy that we'll be using here is T2, because it's decent enough and easy to compute.


=== rank-2 instructions table ===
=== rank-2 instructions table ===
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=== Wolfram Language implementation ===
Include here ###


=== limitations ===
=== limitations ===


Beyond rank-2, the mingen form of a temperament is no longer unique. You can always get smaller and smaller generators. ### I believe there's more to say here, if that's even precisely correct
Beyond rank-2, the mingen form of a temperament is no longer unique. You can always get smaller and smaller generators. ### I believe there's more to say here, if that's even precisely correct